1 = h. Determine u so that -30*u - 2*u**3 - 4*u**2 - 11 - 2 - 10*u**o - 5 = 0.
-3, -1
Let -119/2*v - 245/2 - 1/2*v**3 - 19/2*v**2 = 0. What is v?
-7, -5
Let k(d) be the first derivative of -d**8/4200 + d**7/1050 + d**6/900 - d**5/150 - 31*d**3/3 - 2. Let c(t) be the third derivative of k(t). Factor c(m).
-2*m*(m - 2)*(m - 1)*(m + 1)/5
Let d(u) = -456*u - 453. Let a be d(-1). Factor 0 + 3/2*m**a + 0*m + 3/2*m**2.
3*m**2*(m + 1)/2
Let z(s) = s**3 - 50*s**2 + 5*s + 53. Let l(k) = -k**3 - k - 1. Let u(c) = -6*l(c) - 2*z(c). Suppose u(b) = 0. Calculate b.
-25, -1, 1
Suppose -3*y - 5 = -5*b - 0*b, 2*b - 23 = -3*y. Let r(a) be the third derivative of 1/2*a**3 + 3/20*a**5 + 0*a + 1/40*a**6 + 4*a**2 + 3/8*a**b + 0. Factor r(z).
3*(z + 1)**3
Let b(d) be the third derivative of d**7/35 + 7*d**6/30 - 22*d**5/15 + 17*d**4/6 - 7*d**3/3 - 91*d**2. Factor b(v).
2*(v - 1)**2*(v + 7)*(3*v - 1)
Let c(g) be the third derivative of g**6/300 + g**5/10 - 4*g**4/15 - g**2 + 172*g. Factor c(f).
2*f*(f - 1)*(f + 16)/5
Let k(m) be the third derivative of -m**7/14 + 19*m**6/24 - 11*m**5/4 + 35*m**4/8 - 10*m**3/3 + 61*m**2 - 2. Solve k(f) = 0 for f.
1/3, 1, 4
Let k(x) be the second derivative of x**7/2520 - x**6/1200 - x**5/300 + 5*x**4/6 - 10*x. Let d(z) be the third derivative of k(z). Factor d(n).
(n - 1)*(5*n + 2)/5
Suppose 1452*z**2 + 1161*z**3 + 588 - 735/4*z**4 - 3024*z + 27/4*z**5 = 0. Calculate z.
-2, 2/9, 1, 14
Let b be (20 - 15) + (-2)/2. Suppose b*o - 1 = 11. Factor -3*f**o - 56 + 9*f**2 - 43 + 87.
-3*(f - 2)**2*(f + 1)
Let w be (-192)/(-33) + 28/154. Let u(v) be the second derivative of 1/30*v**w + 2*v**2 - 4*v - 1/10*v**5 - 1/4*v**4 + 2/3*v**3 + 0. Find m such that u(m) = 0.
-1, 2
Let h be (-356)/(-18) - (-8)/36. Factor 12 + 4 - 4*u**3 - 21*u + h*u**2 - 13*u + 2*u.
-4*(u - 2)**2*(u - 1)
Let n(l) be the second derivative of 121*l**4/30 - 44*l**3/3 + 20*l**2 - l + 30. Factor n(h).
2*(11*h - 10)**2/5
Let u(q) be the first derivative of -4/9*q**4 - 4/9*q**2 + 1 - 4/45*q**5 + 0*q - 20/27*q**3. Find m, given that u(m) = 0.
-2, -1, 0
Let k(i) be the first derivative of 9 + 0*i - 20/3*i**3 + 5/4*i**4 + 0*i**2. Factor k(r).
5*r**2*(r - 4)
Let y be -14 + 14 - -4*(-7)/(-84). Factor 16/3*r - 8/3*r**2 + 0 + y*r**3.
r*(r - 4)**2/3
Let a(b) be the second derivative of -b**5/5 - 31*b**4/3 + 64*b**3/3 - 258*b. Solve a(g) = 0 for g.
-32, 0, 1
Let m be 0/(-19)*2/4. Factor m*c**2 + 6*c**2 + 0*c**2 - 3*c**3.
-3*c**2*(c - 2)
Let d be 486/(-72)*((-4)/6)/1. Find u, given that -3/2*u**3 + 9/2*u**2 - d*u**4 + 0 - 3/2*u**5 + 3*u = 0.
-2, -1, 0, 1
Suppose 8*u = 107 - 107. Let i(z) be the second derivative of u - 6*z + 0*z**2 - 1/24*z**4 + 0*z**3 + 1/40*z**5. Factor i(j).
j**2*(j - 1)/2
Let x(q) be the second derivative of -q**6/210 + q**5/70 + 5*q**4/21 + 4*q**3/7 - 100*q + 1. Factor x(s).
-s*(s - 6)*(s + 2)**2/7
Solve 2*s**2 - 3*s - 1/4*s**4 + 1/4*s**3 + 0 = 0.
-3, 0, 2
Let j(w) be the second derivative of 0*w**2 + 6*w - 1/20*w**5 + 0 + 0*w**4 + 2/3*w**3. Factor j(u).
-u*(u - 2)*(u + 2)
Suppose 73 = -5*t + 68. Let d be (2/(-8))/t + (-44)/(-16). Suppose -4/3*b**d + 14/3*b**4 + 0*b - 8/3*b**5 + 0 - 2/3*b**2 = 0. Calculate b.
-1/4, 0, 1
Let v = 9969698/63745 - -4/12749. Let r = v + -156. Factor 2/5*w**4 + 2/5 - 4/5*w**2 - r*w - 2/5*w**5 + 4/5*w**3.
-2*(w - 1)**3*(w + 1)**2/5
Solve 2/11*n**2 + 4/11*n + 0 = 0 for n.
-2, 0
Let o(p) be the first derivative of -p**6/27 - 2*p**5/45 + p**4/6 + 2*p**3/27 - 2*p**2/9 + 475. Let o(f) = 0. Calculate f.
-2, -1, 0, 1
Let q(c) = -55*c + 2090. Let j be q(38). Solve -2/5*i + j - 1/5*i**2 = 0 for i.
-2, 0
Let t be ((-3)/12*0)/(2/(-2)). Suppose t*j - 4*j = 0. Determine c, given that 0*c - 2/5*c**2 + 2/5*c**4 + j*c**3 + 0 = 0.
-1, 0, 1
Let l(g) be the second derivative of g**4/72 + 20*g**3/9 + 400*g**2/3 + 2*g - 34. Solve l(s) = 0.
-40
Let n(g) = 2*g**2 + 3*g. Let f(y) = y**3 + 11*y**2 + 17*y + 1. Let i(a) = -f(a) + 6*n(a). Solve i(m) = 0.
-1, 1
Let m(b) be the first derivative of -b**5/5 + 9*b**4/4 - 2*b**3 - 8*b**2 - 866. Find r such that m(r) = 0.
-1, 0, 2, 8
Let k(z) = z**2 - 59*z + 495. Let b be k(10). Factor 0*m + 2/7*m**b - 2/7*m**3 + 0*m**2 + 0 + 0*m**4.
2*m**3*(m - 1)*(m + 1)/7
Let p be (-58)/(-12) + ((-68)/24 - -3). Find a, given that -6*a + 5*a + 4*a**p - 5*a**5 + 2*a**3 = 0.
-1, 0, 1
Let b be 25/9*66/220. Let z(t) be the first derivative of b*t**2 + 2/3*t + 4 + 1/3*t**3. Find u such that z(u) = 0.
-1, -2/3
Let q(d) be the second derivative of d**7/72 + d**6/18 + d**5/24 + 5*d**4/3 + 19*d. Let u(j) be the third derivative of q(j). What is g in u(g) = 0?
-1, -1/7
Let z(t) be the third derivative of t**6/420 - 13*t**5/210 + 5*t**4/42 + 8*t**3/7 + 4*t**2 - t. Factor z(l).
2*(l - 12)*(l - 2)*(l + 1)/7
What is y in -348/5*y**3 + 12/5*y**5 - 67/5*y**4 + 44*y - 36/5 - 213/5*y**2 = 0?
-2, 1/4, 1/3, 9
Let s(o) be the third derivative of 17*o**6/420 + 101*o**5/105 + 7*o**4 - 24*o**3/7 + 563*o**2. Factor s(h).
2*(h + 6)**2*(17*h - 2)/7
Let c(k) be the first derivative of 5*k**4/4 - 80*k**3/3 + 125*k**2/2 + 210*k - 79. Factor c(j).
5*(j - 14)*(j - 3)*(j + 1)
Let v(q) be the third derivative of 8*q**6/15 - 40*q**5/3 - 103*q**4/6 - 26*q**3/3 - 25*q**2. Find k such that v(k) = 0.
-1/4, 13
Let k be ((-18)/(-10))/((-6)/(-20)). Let l(t) be the third derivative of 4*t**2 + 1/120*t**k + 0*t - 1/24*t**4 + 0*t**5 + 0 + 0*t**3. Factor l(n).
n*(n - 1)*(n + 1)
Factor -84/5 + 12/5*r - 3/5*r**3 + 21/5*r**2.
-3*(r - 7)*(r - 2)*(r + 2)/5
Let g(r) = r + 4. Let a be g(0). Suppose -4*l + 18 = 6. Factor -3*f**4 + f**l + a*f**3 - 3*f + 9*f**2 + f**3 - 12 - 9*f.
-3*(f - 2)**2*(f + 1)**2
Let r(h) = h**2 + 9*h + 2. Let k be r(0). Let u(j) be the first derivative of -20/3*j**3 - 7*j**4 - 12/5*j**5 + 8 + 0*j - k*j**2. Factor u(z).
-4*z*(z + 1)**2*(3*z + 1)
Suppose -2*i + 20 + 4 = 0. Suppose -6*w + 2*w = i. Let t(p) = -9*p**2 - 7*p. Let q(o) = -o**2 - o. Let s(y) = w*t(y) + 24*q(y). Solve s(n) = 0 for n.
0, 1
Suppose -1/2 + s - 1/2*s**2 = 0. Calculate s.
1
Let v(o) = o**3 - 12*o**2 + 11*o. Let i be v(11). Let w be (-12 - -8)*(-1 - i). Factor -8/5 + 22/5*m**2 - 10*m**w + 12*m**3 - 24/5*m.
-2*(m - 1)**2*(5*m + 2)**2/5
Let f(p) be the first derivative of p**4/16 + p**3/6 - 16. Let f(r) = 0. Calculate r.
-2, 0
Let y = 5 - 9. Let v be (-16 + 17)/((-2)/y). Factor -3 - 3*c**2 - 1 + 8*c**v - 1.
5*(c - 1)*(c + 1)
Let s = -661 - -39661/60. Let z(m) be the second derivative of 1/6*m**3 - s*m**6 + 1/10*m**5 + 0 + 5*m - 5/24*m**4 + 0*m**2. Factor z(c).
-c*(c - 2)*(c - 1)**2/2
Let o = -347 - -350. Let b(v) be the third derivative of 0 - 1/120*v**6 - 1/20*v**5 + 7*v**2 + 1/105*v**7 + 1/24*v**4 + 1/6*v**o + 0*v. Factor b(l).
(l - 1)**2*(l + 1)*(2*l + 1)
Let q be (-12)/(-84) - (-26)/14. Suppose -6 = 4*v + q*l - 20, -2*v = 5*l + 5. Factor -3/4*c - 1/4 + 1/4*c**v + 1/2*c**3 - 1/2*c**2 + 3/4*c**4.
(c - 1)*(c + 1)**4/4
Let l(u) = -5*u**2 + 5. Let j be (-32 + -2)*(3 - (-4)/(-4)). Let x(d) = 56*d**2 - 56. Let v(k) = j*l(k) - 6*x(k). Find c such that v(c) = 0.
-1, 1
Let j(c) be the second derivative of c**4/16 - 51*c**3/8 - 39*c**2/2 - 317*c. Factor j(l).
3*(l - 52)*(l + 1)/4
What is n in -15*n**2 - 45*n**3 + 25*n**2 - 35*n**4 + 8 + 15*n**2 + 45*n + 2 = 0?
-1, -2/7, 1
Let t(h) be the first derivative of -h**5/40 + 5*h**4/16 - 29*h**3/24 + 2*h**2 - 3*h/2 + 216. Solve t(z) = 0.
1, 2, 6
Let k be (15 - 7290/490)*56/6. Find c such that k*c**5 + 2/7*c**2 + 0*c - 8/7*c**3 + 0 - 2/7*c**4 = 0.
-1, 0, 1/4, 1
Let h(q) be the first derivative of -q**7/210 - 2*q**6/45 - q**5/6 - q**4/3 + 5*q**3/3 - 3. Let k(z) be the third derivative of h(z). Factor k(u).
-4*(u + 1)**2*(u + 2)
Let w be (-6 + 12)/((-3)/(-1)). Determine l so that 10*l + 3*l**2 - w*l**2 + 5 - l - 3*l = 0.
-5, -1
Let a(n) be the second derivative of -n**7/84 - n**6/15 - n**5/10 + n**4/12 + 5*n**3/12 + n**2/2 - 78*n + 1. Find c, given that a(c) = 0.
-2, -1, 1
Let t(a) be the third derivative of a**6/360 + a**5/20 - 7*a**4/24 + 11*a**3/18 + 40*a**2 - 2. Factor t(z).
(z - 1)**2*(z + 11)/3
Let r(n) be the third derivative of 0 + 0*n**3 + 1/720*n**6 - 11*n**2 - 1/360*n**5 + 0*n + 0*n**4. Factor r(w).
w**2*(w - 1)/6
Let k(d) be the third derivative of -d**7/14 + 4*d**6/5 - 67*d**5/20 + 13*d**4/2 - 6*d**3 - 50*d**2. Determine j, given that k(j) = 0.
2/5, 1, 2, 