. Let r(h) = -2*d(h) + 15*z(h). Solve r(m) = 0 for m.
-1, 1, 2
Let p(w) be the first derivative of 3*w**5/5 - 33*w**4/4 - 12*w**3 + 187. Solve p(f) = 0 for f.
-1, 0, 12
Let q(h) be the third derivative of -h**6/420 - 2*h**5/105 - 5*h**4/84 - 2*h**3/21 - 2*h**2 + 72. Factor q(f).
-2*(f + 1)**2*(f + 2)/7
Let k(q) be the second derivative of q**5/50 + q**4/5 - q**3/15 - 6*q**2/5 + 349*q. Solve k(w) = 0.
-6, -1, 1
Let x(l) be the first derivative of -l**6/15 + 136*l**5/25 - 99*l**4/5 + 392*l**3/15 - 13*l**2 - 139. Factor x(b).
-2*b*(b - 65)*(b - 1)**3/5
Find p, given that -708 + 5*p**3 + 3459*p**2 - 308 - 7024*p**2 + 800*p + 3450*p**2 - 484 = 0.
3, 10
Suppose 84989*p**2 - 60*p**3 + 3*p - 5*p**5 - 85029*p**2 - 30*p**4 - 3*p = 0. What is p?
-2, 0
Let x(i) = 13*i**4 + 80*i**3 - 163*i**2 + 97*i - 9. Let w(l) = -3*l**4 - 20*l**3 + 41*l**2 - 24*l + 2. Let r(t) = -18*w(t) - 4*x(t). Factor r(v).
2*v*(v - 1)**2*(v + 22)
Find s such that 13*s**3 + 32*s**2 + 4*s**3 - 72*s**4 - 48*s**5 + 3 + 27*s + 4*s**3 + 37*s**2 = 0.
-1, -1/4, 1
Factor 66 - 7*k - 3*k**3 - 63 + 5*k**2 + 2*k**3.
-(k - 3)*(k - 1)**2
Let b(g) be the third derivative of g**8/12 + 8*g**7/35 - 5*g**6/6 + 2*g**5/5 + 10*g**2 + 3*g. Let b(t) = 0. Calculate t.
-3, 0, 2/7, 1
Let x = -78 + 78. Let w(j) be the second derivative of -1/42*j**3 + 0*j**2 + x + 9*j + 0*j**4 + 1/140*j**5. Determine n so that w(n) = 0.
-1, 0, 1
Let h(g) = -g**3 + 3*g**2 + 18*g - 28. Let x be h(8). Let f = x + 433/2. Find m, given that -f*m**2 + 19/2*m**3 - 2 - 7/2*m**4 + 8*m + 1/2*m**5 = 0.
1, 2
Find c such that -1/2*c**2 + 20*c - 200 = 0.
20
Let y = 3/32 - 1/96. Let h(o) be the third derivative of y*o**4 - 6*o**2 - 1/60*o**5 + 0*o**3 + 0 + 0*o. Let h(c) = 0. Calculate c.
0, 2
Let o(r) = -8*r**4 - 48*r**3 + 120*r**2 + 790*r + 5. Let q(y) = 20*y**4 + 120*y**3 - 300*y**2 - 1976*y - 12. Let m(i) = -12*o(i) - 5*q(i). Factor m(d).
-4*d*(d - 4)*(d + 5)**2
Let g be -12 - (69/(-5) - -1). Let w(t) be the first derivative of -g*t**5 + 0*t + 1/6*t**6 + 5 + 0*t**2 - 2/3*t**3 + 5/4*t**4. Solve w(h) = 0 for h.
0, 1, 2
Let l be 9/3 - ((-49)/126)/(8/(-36)). Factor 1/4*j**2 + j - l.
(j - 1)*(j + 5)/4
Let l be 10 - 1/((3 + -2)/2). Suppose -2*p**2 + l*p**3 - 3*p**2 + 2 - 2*p**5 + p**2 + 2 - 6*p = 0. What is p?
-2, -1, 1
Suppose 0 = 5*k - l - l - 39, 0 = 3*k - l - 24. Let m be ((-216)/42 - -5)/(k/(-21)). Let 2/3 - m*a - 2/3*a**2 + 1/3*a**3 = 0. What is a?
-1, 1, 2
Let p(g) be the third derivative of -g**7/6720 + g**5/960 - 23*g**3/6 + 23*g**2. Let b(t) be the first derivative of p(t). Let b(w) = 0. What is w?
-1, 0, 1
Let j(f) be the second derivative of -f**4/3 + 26*f**3/3 - 44*f**2 + f - 3. Factor j(l).
-4*(l - 11)*(l - 2)
Let a(f) be the first derivative of 0*f**3 - 7/4*f**2 + 3*f + 20 + 1/8*f**4. Solve a(u) = 0.
-3, 1, 2
Suppose 2*s + 4 = -0*s + 2*h, -3*s - 2*h = -4. Solve -2*u - 2*u + u + u**2 + s*u**2 = 0 for u.
0, 3
Let c be -1*(0 + -14)/(-1). Let f(m) = m**3 + 12*m**2 - 27*m + 16. Let i be f(c). Factor -8/7*w**i - 2/7*w**3 - 10/7*w - 4/7.
-2*(w + 1)**2*(w + 2)/7
Let y(v) = -v**3 - 5*v**2 + 5*v - 4. Let r be y(-6). Factor 4 + 6*z - 3 + r*z**2 - 16*z + 11.
2*(z - 3)*(z - 2)
Let l be (-4526)/(-1540) + ((-80)/28 - -3). Let s = -15/22 + l. Factor 0 + s*p**3 - p**4 - 4/5*p**2 + 0*p.
-p**2*(p - 2)*(5*p - 2)/5
Suppose 280*i**2 + 86*i**3 + 2*i**4 - 165*i**3 + 35*i**3 - 400*i = 0. What is i?
0, 2, 10
Let k(u) be the first derivative of 2*u**3/3 - 40*u**2 - 168*u - 572. Factor k(l).
2*(l - 42)*(l + 2)
Let b(p) be the first derivative of 1/36*p**3 + 8*p - 1/120*p**5 + 6 - 1/72*p**4 + 1/12*p**2. Let u(d) be the first derivative of b(d). Factor u(z).
-(z - 1)*(z + 1)**2/6
Let r be (1*(-2 + -4))/(-2). Let v = r + 13. Solve 2*b + 4*b**2 + 36 + v*b + 6*b = 0 for b.
-3
Let k = -16 - -27. Let c = 0 + k. Suppose 12*d**2 - c*d**4 + 14*d - 2*d**4 - 3*d**4 + 4 - 8*d**3 - 6*d**5 = 0. Calculate d.
-1, -2/3, 1
Let r(k) be the first derivative of 3/4*k**5 + 19 + 3/4*k + 5/2*k**3 - 15/8*k**4 - 15/8*k**2 - 1/8*k**6. Factor r(d).
-3*(d - 1)**5/4
Suppose 0*q - 10 = -q. Suppose 4*v + v = q. Find y such that 8 - 2*y**v + 3*y**2 + y - 9 - y**3 = 0.
-1, 1
Suppose 14014 = -8*x - 5*x. Let c be (x/35)/(-7) - (-2)/(-5). Determine u so that 12*u**3 - 16/3*u + 10/3*u**c + 8*u**2 + 0 = 0.
-2, 0, 2/5
Let b(c) be the first derivative of -1/30*c**4 - 27 - 50/3*c - 5*c**2 - 2/3*c**3. Factor b(v).
-2*(v + 5)**3/15
Let a(j) = -j**5 + j**2. Let v(n) = 85*n**4 - 440*n**3 + 355*n**2 + 2160*n - 2160. Let z(q) = -5*a(q) - v(q). Suppose z(t) = 0. What is t?
-2, 1, 6
Let f(o) = 9*o + 164. Let k be f(-18). Let w(m) be the second derivative of 0*m**k - 1/9*m**4 + 0 - 1/30*m**5 - 1/9*m**3 + 3*m. Factor w(y).
-2*y*(y + 1)**2/3
Let v(t) be the first derivative of 9*t**4/2 + 26*t**3/3 + 4*t**2 + 112. Factor v(s).
2*s*(s + 1)*(9*s + 4)
Factor -7*x**3 - 36*x**3 + 42*x**3 + 2*x**2.
-x**2*(x - 2)
Factor -1/7*q**2 + 0 - 5/7*q.
-q*(q + 5)/7
Let x = 53937/7 - 7705. Factor -x*r**2 - 10/7*r + 12/7.
-2*(r - 1)*(r + 6)/7
Let a(u) = -2*u**2 - 2*u + 1. Let v(o) = 55*o**2 + 245*o - 225. Let c(h) = 25*a(h) + v(h). Factor c(d).
5*(d - 1)*(d + 40)
Let -1/2*i**2 + 1/3 + 1/6*i**3 - 1/6*i + 1/6*i**4 = 0. What is i?
-2, -1, 1
Let w(y) be the first derivative of -2*y**3/33 + 160*y**2/11 - 12800*y/11 - 330. Factor w(s).
-2*(s - 80)**2/11
Let z(q) be the second derivative of 0*q**3 - 4*q + 0*q**4 + 0*q**2 - 2/45*q**5 + 0 - 2/135*q**6. Suppose z(p) = 0. What is p?
-2, 0
Let x = -13 - -12. Let r be x/4 - 338/(-104). Let 3*p**2 + 3*p**3 + r*p**2 + 6*p - 3*p = 0. Calculate p.
-1, 0
Let o(d) be the second derivative of -2*d**6/105 - 34*d**5/35 - 104*d**4/7 + 676*d**3/21 + 21970*d**2/7 + 169*d. Let o(w) = 0. What is w?
-13, 5
Let g = -602 + 606. Suppose 12/17*q**2 + 2/17*q**g + 2/17 + 8/17*q**3 + 8/17*q = 0. Calculate q.
-1
Let a(r) = -2*r**2 - 3*r - 6. Let o be a(5). Let j = o + 214/3. Factor 0 + 0*d**2 + j*d**3 - 1/3*d.
d*(d - 1)*(d + 1)/3
Let h(a) be the third derivative of 4/21*a**4 - 17/210*a**6 - 4/21*a**3 - 1/49*a**7 + 0 + 1/210*a**5 + 0*a + 7*a**2. Find j such that h(j) = 0.
-2, -1, 1/3, 2/5
Let n(m) be the third derivative of m**7/1260 - m**6/90 + 7*m**5/120 - 11*m**4/72 + 2*m**3/9 + 45*m**2 + 2. Factor n(l).
(l - 4)*(l - 2)*(l - 1)**2/6
Let p(k) be the first derivative of 3*k**2 + 18*k**3 + 18*k**3 + k - 37*k**3 - 4*k + 18. Suppose p(q) = 0. What is q?
1
Let w(i) be the third derivative of -5*i**2 + 0*i**6 + 1/8*i**4 + 0*i**3 + 1/10*i**5 + 0 - 1/35*i**7 - 1/112*i**8 + 0*i. Factor w(u).
-3*u*(u - 1)*(u + 1)**3
Let f(j) be the first derivative of 7/30*j**5 + 10*j + 25/3*j**3 + 22/9*j**4 + 6*j**2 + 12. Let x(r) be the first derivative of f(r). What is q in x(q) = 0?
-3, -2/7
Let o(g) = g**3 + g**2 - 2*g + 5. Let s be o(0). Suppose 0 = s*i - x - 11 - 2, 0 = i - x - 1. Factor 3/2*c**i - 1/2*c**2 - 5/6*c - 1/6.
(c - 1)*(3*c + 1)**2/6
Let h be -3*(22/(-6) - 1). Let o(j) = j. Let t(p) = -2*p**2 + 7*p + 2. Let w(u) = h*o(u) - 2*t(u). Determine i so that w(i) = 0.
-1, 1
Let o = -14 - -4. Let w(z) = -z**3 + z**2 + z - 1. Let a(t) = -10 + t**2 + 7*t**2 + t - 8*t**3 + 9*t. Let l(u) = o*w(u) + a(u). Factor l(r).
2*r**2*(r - 1)
Determine t, given that -25*t**2 - 28*t**2 + 50*t**2 = 0.
0
Let l(f) be the second derivative of -1/12*f**4 + 16*f + 0 - 1/336*f**7 - 3/40*f**5 - 1/40*f**6 + 0*f**2 + 0*f**3. Factor l(n).
-n**2*(n + 2)**3/8
Let s(m) be the third derivative of -m**6/60 - m**5/10 - m**4/6 - 16*m**2 + 2*m. Factor s(x).
-2*x*(x + 1)*(x + 2)
Let r(c) = -c**3 + 2*c**2 - c - 1. Let x(j) = 5*j**4 + 30*j**3 - 20*j**2 + 15*j + 15. Let m(v) = 15*r(v) + x(v). Let m(l) = 0. Calculate l.
-2, -1, 0
Let k(f) be the first derivative of -2*f**3 - 1/5*f**5 - 2*f**2 - f - 6 - f**4. Determine l so that k(l) = 0.
-1
Suppose -26 - 22 = -12*b. Let z(i) be the second derivative of -2*i + 1/6*i**b + 0*i**2 + 0 + 1/3*i**3. Factor z(a).
2*a*(a + 1)
Let l(q) be the second derivative of -7*q + 0*q**2 + 1/84*q**7 + 0 + 0*q**3 + 1/12*q**4 - 3/40*q**5 + 0*q**6. Factor l(d).
d**2*(d - 1)**2*(d + 2)/2
Determine a so that 38/7*a**2 + 0 + 2*a**3 - 12/7*a = 0.
-3, 0, 2/7
Let s(h) be the first derivative of -2*h**6/3 + 36*h**5/5 - 27*h**4 + 92*h**3/3 + 48*h**2 - 144*h - 60. Solve s(f) = 0.
-1, 2, 3
Find y, given that -2/11*y**2 - 12/11*y - 10/11 = 0.
-5, -1
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