 derivative of g**8/504 + g**7/105 - g**6/10 + 2*g**5/45 + 2*g**4/3 - 444*g**2. Solve p(v) = 0 for v.
-6, -1, 0, 2
Let d(p) be the third derivative of p**8/84 - 8*p**7/105 + p**6/10 + 4*p**5/15 - 2*p**4/3 - 6*p**2 + 5*p. Determine u so that d(u) = 0.
-1, 0, 1, 2
Determine l, given that -12/7*l**2 - 2/7*l**3 - 10/7*l + 0 = 0.
-5, -1, 0
Let i be 154/132*12/21. Suppose i + 8/9*r + 2/9*r**2 = 0. Calculate r.
-3, -1
Let r(l) be the first derivative of l**3/9 + 5*l**2/2 + 14*l/3 - 21. Factor r(c).
(c + 1)*(c + 14)/3
Let k(h) = 100*h + 6. Let g be k(-3). Let j = 296 + g. Factor -1/4*f**j - 1/8*f**3 + 1/4 + 1/8*f.
-(f - 1)*(f + 1)*(f + 2)/8
Determine j so that -50*j + 8*j**2 + 120 + 2*j**2 + 8*j**2 + 6*j + 3*j**3 - 64*j = 0.
-10, 2
Factor -2*q**3 + 2*q**3 + 4*q**2 - 4 + 0*q**3 - 2*q + 2*q**3.
2*(q - 1)*(q + 1)*(q + 2)
Factor 2/17*g**3 - 48/17*g + 0 - 10/17*g**2.
2*g*(g - 8)*(g + 3)/17
Let r(y) be the second derivative of 26*y + 0 + 0*y**2 - 1/5*y**3 + 1/60*y**4. Find u, given that r(u) = 0.
0, 6
Let c(v) = 4*v**3 - 7*v**2 + 7*v - 2. Let u be c(1). Find m, given that -3*m**3 + 3/5*m**4 + 0*m - 3/5*m**u + 3*m**5 + 0 = 0.
-1, -1/5, 0, 1
Let q(y) be the first derivative of 12 + 1/9*y**3 + 0*y - 2/3*y**2. Determine p, given that q(p) = 0.
0, 4
Let v(a) be the second derivative of a**5/4 + 115*a**4/12 - 20*a**3 + 587*a. Factor v(c).
5*c*(c - 1)*(c + 24)
Let q be (-5 - 246/(-48)) + 100/224. Let y(c) be the first derivative of 2/35*c**5 + 2/7*c + 2/7*c**4 + 4/7*c**3 - 1 + q*c**2. Factor y(p).
2*(p + 1)**4/7
Let h(b) = 26*b**4 + 62*b**3 + 46*b**2 + 10*b. Let c(w) = 11*w + 693*w**3 + 34*w**2 + 25*w**4 - 632*w**3 + 13*w**2. Let x(n) = -2*c(n) + 3*h(n). Factor x(t).
4*t*(t + 1)**2*(7*t + 2)
Find q, given that -2/5*q**2 + 296/5*q - 10952/5 = 0.
74
Let p = 1363/10712 - 3/1339. Solve p*j**3 + 0*j + 0 + 1/8*j**2 = 0.
-1, 0
Suppose 118*b - 133*b = 0. Suppose 1/4*n**3 - 3/4*n**2 + b*n + 0 = 0. What is n?
0, 3
Suppose 2 - 8 = -3*k. Let f be k/7 + 243/7. Let q**2 - 29 - f - 5*q**2 + 0*q**2 - 32*q = 0. What is q?
-4
Let h(u) be the second derivative of -u**6/105 + u**5/35 + 13*u**4/14 + 24*u**3/7 - 306*u. Let h(f) = 0. Calculate f.
-3, 0, 8
Let g be (16/12*(-63)/(-14))/2. Let p(i) be the second derivative of -5/33*i**g + 2*i + 2/11*i**2 + 1/22*i**4 + 0 - 1/165*i**6 + 1/110*i**5. Factor p(o).
-2*(o - 1)**3*(o + 2)/11
Let u(g) be the first derivative of -1/7*g**2 + 0*g + 8 - 1/42*g**6 - 1/21*g**3 + 3/28*g**4 + 1/35*g**5. Solve u(v) = 0 for v.
-1, 0, 1, 2
Suppose -5 + 11 = 2*l. Suppose -2*t - 3*r = -0*r - l, 0 = -3*t + 2*r - 2. Factor 2/7*y**3 + 2/7*y**2 + t*y + 0.
2*y**2*(y + 1)/7
Let d(x) be the first derivative of x**4/14 - 22*x**3/21 + 32*x**2/7 - 8*x + 300. Find f, given that d(f) = 0.
2, 7
Let b(g) be the first derivative of -2*g**5/45 + 7*g**4/6 - 80*g**3/9 + 100*g**2/9 - 157. Factor b(h).
-2*h*(h - 10)**2*(h - 1)/9
Suppose 161/3*q**2 + 4/3 - 121/3*q**5 - 55*q**4 + 73/3*q**3 + 16*q = 0. What is q?
-1, -2/11, 1
Let s = -33/910 + 4/91. Let o(x) be the second derivative of -1/195*x**6 + 1/78*x**4 + 0*x**3 + s*x**5 - 1/273*x**7 + 0*x**2 + 0 + 4*x. Solve o(k) = 0.
-1, 0, 1
Let a(b) = -b**2. Suppose 4*z = z - 15. Let n = -4 - z. Let y(i) = 8*i**2 - 16*i + 16. Let t(c) = n*y(c) + 4*a(c). Factor t(p).
4*(p - 2)**2
Let g = -1693 - -20321/12. Let v(o) be the second derivative of 0 + 15/2*o**2 - o - g*o**4 - 5/3*o**3. Factor v(k).
-5*(k - 1)*(k + 3)
Let p be 20/6*(-504)/(-5460). Determine d so that 2/13*d**3 + p - 2/13*d**4 + 6/13*d**2 - 10/13*d = 0.
-2, 1
Suppose -40 = -12*x + 44. Let s(b) = -6*b**3 + 2*b**2 + 2*b. Let d(k) = 19*k**3 - 5*k**2 - 7*k. Let v(t) = x*s(t) + 2*d(t). Factor v(u).
-4*u**2*(u - 1)
Let d(t) be the third derivative of t**7/42 - 7*t**5/12 + 5*t**4/4 + 2*t**2 + 11. Find b such that d(b) = 0.
-3, 0, 1, 2
Let f(z) be the second derivative of -1/15*z**5 + 0*z**2 + 1/9*z**4 + 4/9*z**3 + 0 - 11*z. Find t, given that f(t) = 0.
-1, 0, 2
Let f(z) be the first derivative of z**3/12 - 21*z**2/8 + 5*z + 78. Factor f(b).
(b - 20)*(b - 1)/4
Let n(p) be the first derivative of p**6/33 + 14*p**5/55 + 9*p**4/11 + 40*p**3/33 + 8*p**2/11 - 244. Solve n(a) = 0.
-2, -1, 0
Factor -39/5*y + 0 - 1/5*y**2.
-y*(y + 39)/5
Let m(g) be the first derivative of -38*g**3/21 - 59*g**2/7 - 12*g/7 - 410. Factor m(r).
-2*(r + 3)*(19*r + 2)/7
Let t(o) be the first derivative of 54/11*o - 27/11*o**2 - 39 - 1/22*o**4 + 6/11*o**3. Find p, given that t(p) = 0.
3
Let x be 196/30 + (-1580)/(-11850). What is j in -x + 2/3*j**3 - 16/3*j**2 + 34/3*j = 0?
1, 2, 5
Let x(z) = 2*z**3 + 4*z**2. Let r(g) = g**3 + 5*g**2 + g. Suppose 2*i - 5 + 0 = -u, 0 = 2*u - 2. Let o(n) = i*r(n) - 3*x(n). Determine y, given that o(y) = 0.
-1, 0, 1/2
Let f(t) be the first derivative of t**6/3 - 11*t**5/15 - 5*t**4/3 - t**3/3 + 220. What is k in f(k) = 0?
-1, -1/6, 0, 3
Let k be 12/(-18)*(-1)/2*15. Solve 7*c**2 - 45*c**3 + 0 + 20*c**2 - 3*c**k + 21*c**4 + 0 = 0.
0, 1, 3
Suppose -30 = -3*p - 0*p. Suppose -145 + 115 = -10*g. Factor 3*k + p*k**2 + g*k - 7*k**2.
3*k*(k + 2)
Let d(j) be the first derivative of -7*j**4/3 + 8*j**3 + 8*j**2 - 6*j + 30. Let a(n) be the first derivative of d(n). Factor a(b).
-4*(b - 2)*(7*b + 2)
Suppose 0 = -3*t + 2*t - 6. Let j = -4 - t. Factor -3*m**3 + 0*m**2 + m + 2*m**2 - 2 + j*m**3.
-(m - 2)*(m - 1)*(m + 1)
Suppose 7*p = 2*p + 30. Factor 0 - 6*i**2 - 3*i + p + 0 + 3*i**3.
3*(i - 2)*(i - 1)*(i + 1)
Suppose 126*a - 121*a = 0. Factor -2/15*z**3 + 0*z + a + 2/5*z**2.
-2*z**2*(z - 3)/15
Let h be 5/25*(-5)/(-4). Let o be 0/(11 + 6/(-1)). Factor -1/4*t**2 + 0*t + o - 3/4*t**3 - 3/4*t**4 - h*t**5.
-t**2*(t + 1)**3/4
Let x be 386/680 + -3 + (-33)/(-12). Let q = x + -2/17. Factor -1/5*n**2 + q*n**4 + 0 - 1/5*n + 1/5*n**3.
n*(n - 1)*(n + 1)**2/5
Factor 1/5*d + 2/5 - 1/5*d**2.
-(d - 2)*(d + 1)/5
Let n be (-11)/(-308)*-21*(-2)/12. Let g(k) be the second derivative of -3/4*k**3 - 2*k + 0*k**2 + 0 - n*k**4. Factor g(r).
-3*r*(r + 3)/2
Let x(m) be the third derivative of m**5/90 + 161*m**4/90 + 128*m**3/45 - 108*m**2 + 1. Factor x(l).
2*(l + 64)*(5*l + 2)/15
Let f be 1 + -4 + 1 + 2. Suppose -3*z + 5*z = f. Find w, given that 2/7*w**2 - 2/7*w + z = 0.
0, 1
Let s = 467 - 453. Let n(d) be the second derivative of -1/126*d**4 + 0 - 2/63*d**3 - s*d - 1/21*d**2. Solve n(a) = 0.
-1
Suppose -6 = -3*r + 21. Let c = 12 - r. Let t - 2*t**c - t**5 + 0*t - t**5 + 3*t**5 = 0. Calculate t.
-1, 0, 1
Let l(s) = s**2 + 4*s - 7. Let d be l(-5). Let p = 4 + d. What is a in -2*a + 6*a**2 + 0*a**3 - 7*a**p + a**3 = 0?
-1, 0, 2
Suppose -2*j - 3 = 2*c - 5, 0 = -2*j + 4*c + 8. Let x(v) be the second derivative of -5*v + 1/9*v**3 + 0*v**j + 0 - 1/18*v**4. Suppose x(s) = 0. Calculate s.
0, 1
Let l be ((-147)/35 + 5)*5. Let n(z) be the first derivative of -5/8*z**2 - 1/3*z**3 - 1/16*z**l - 1/2*z + 5. Let n(p) = 0. Calculate p.
-2, -1
Let h(v) be the first derivative of 4*v**5/5 + 3*v**4 + 8*v**3/3 - 106. Factor h(k).
4*k**2*(k + 1)*(k + 2)
Let p be 36/7 - 1500/2625. Factor -2/7*t**2 - 128/7 - p*t.
-2*(t + 8)**2/7
Let z be 2/(-11) - (5 - (-1274)/(-231)). Let i(p) be the first derivative of 4 + z*p - 1/2*p**2 - 1/12*p**4 + 1/3*p**3. Factor i(g).
-(g - 1)**3/3
Let g(l) = l**2 + 3*l. Let z(k) = -25*k**2 - 90*k - 125. Let c(v) = 30*g(v) + z(v). Factor c(x).
5*(x - 5)*(x + 5)
Factor 0 + 0*l + 32/9*l**2 + 22/3*l**4 + 16*l**3 + 8/9*l**5.
2*l**2*(l + 4)**2*(4*l + 1)/9
Let c = -59417/2 - -29709. Let -1/2*q**3 - c + 5/4*q - 1/4*q**2 = 0. What is q?
-2, 1/2, 1
Suppose 12*i - 379 + 319 = 0. Let -2*g**3 + 1 - 1/2*g**i - 2*g**4 + 5/2*g + g**2 = 0. What is g?
-2, -1, 1
Suppose 0 = -259*k - 26*k. Factor 16/3*u + 0*u**2 + k - 4/3*u**4 - 4*u**3.
-4*u*(u - 1)*(u + 2)**2/3
Suppose 6 = d - 3. Factor -d*x - 6 - 7*x + 3*x**2 + 13*x.
3*(x - 2)*(x + 1)
Let g = 1493/9 - 165. Let d = 15/22 - 91/198. What is c in -d*c**2 - g - 8/9*c = 0?
-2
Let p(z) be the third derivative of -7*z**5/15 + 5*z**4/2 - 208*z**2. Solve p(n) = 0 for n.
0, 15/7
Let c = -174072/7 - -24868. Find a, given that 1/7*a**3 - c*a**2 + 5/7*a - 2/7 = 0.
1, 2
Let n be 20/(-25)*5/(-2). Factor 118*l + 42*l**n + 0*l**3 + 2*l**3 + 43*l + 133*l + 686.
2*(l + 7)**3
Let a(v) be the first derivative of 3*v**5/35 - 13*v**4/28 + 11*v**3/21 + 5*v**2/14 - 6*v/7 - 95. Find k, given that a(k) = 0.
-2/3, 1, 3