= -20, 4*g + 5*t = 8 + n. Factor -4*z**2 + 3*z**2 - 9*z**3 + 12*z - 3*z**4 + z**g.
-3*z*(z - 1)*(z + 2)**2
Let k(h) be the third derivative of h**7/945 - h**6/60 + 7*h**5/270 + h**4/12 - 8*h**3/27 + 52*h**2. Factor k(f).
2*(f - 8)*(f - 1)**2*(f + 1)/9
Let g(t) be the first derivative of 4*t**3/3 - 34*t**2 + 64*t + 65. Solve g(b) = 0.
1, 16
Let j(v) be the third derivative of -v**8/336 - v**7/35 - v**6/24 + 4*v**5/15 + v**4/2 - 8*v**3/3 - v**2 + v. Suppose j(u) = 0. Calculate u.
-4, -2, 1
Let o = -133 - -138. Suppose 4*r = p - 11, 2*p - 9 = 4*r + o. Suppose -16/5*g - 6/5*g**5 + 8/5 - 2/5*g**4 - 6/5*g**2 + 22/5*g**p = 0. Calculate g.
-2, -1, 2/3, 1
Let c(f) be the first derivative of -f**7/63 + 2*f**6/45 + f**5/30 - f**4/9 + 12*f + 37. Let s(l) be the first derivative of c(l). Solve s(w) = 0.
-1, 0, 1, 2
Let r(i) be the third derivative of 0*i**4 + 0*i + 1/300*i**5 + 0 - 1/300*i**6 + 0*i**3 - i**2 + 1/1050*i**7. Find v, given that r(v) = 0.
0, 1
Let b(g) be the third derivative of -g**7/70 + g**6/40 + 3*g**5/20 - g**4/8 - g**3 + 19*g**2. Let b(p) = 0. What is p?
-1, 1, 2
Let y = 68788/217949 - -2/11471. Factor 0 + 2/19*g**3 + 4/19*g + y*g**2.
2*g*(g + 1)*(g + 2)/19
Let h(j) = j**2 + j - 1. Suppose 3*y + 6 = -3*y. Let m(s) = -3*s**2 - 5*s + 4. Let k(t) = y*m(t) - 4*h(t). Let k(d) = 0. What is d?
0, 1
Let v(o) be the second derivative of -2*o**6/3 - 22*o**5/5 + 47*o**4/3 - 16*o**3/3 - 24*o**2 + 29*o + 2. Solve v(x) = 0.
-6, -2/5, 1
Suppose 5*f - 8 = -y, 2*y + 16 = 39*f - 33*f. Factor -3 + 2*d - 1/3*d**f.
-(d - 3)**2/3
Let q(v) be the second derivative of 0 - 4/15*v**3 + 37*v + 1/150*v**6 - 3/10*v**2 + 0*v**5 - 1/10*v**4. Solve q(w) = 0.
-1, 3
Let c(k) = 3*k**4 - 20*k**3 - 39*k**2 - 23*k - 7. Let x(s) = -s**4 + 10*s**3 + 19*s**2 + 11*s + 3. Let m(o) = -3*c(o) - 7*x(o). What is y in m(y) = 0?
-2, -1, 0
Let a(q) be the second derivative of q**7/21 + 7*q**6/3 + 383*q**5/10 + 1369*q**4/6 + 640*q**3 + 900*q**2 + 160*q. Let a(l) = 0. Calculate l.
-15, -2, -1
Let h(y) = -y**3 - 4*y**2 - 7*y - 4. Let v be h(-5). Let 9*k - 10*k**2 - v - 4*k**3 - k**3 - 4*k + 66 = 0. What is k?
-2, -1, 1
Let s(x) = 70*x + 140. Let a be s(-2). Let j(p) be the first derivative of -2 + 0*p - 1/4*p**4 + 0*p**2 - 1/5*p**5 + a*p**3. Factor j(t).
-t**3*(t + 1)
Let g(j) be the third derivative of 0*j**3 + 0*j + 1/60*j**6 + 0*j**4 - j**2 + 0*j**5 + 0. What is u in g(u) = 0?
0
Let h(p) = -8*p**2 - 23*p - 9. Let s(d) = -d**2 - d + 2. Let b(f) = h(f) - 3*s(f). Factor b(j).
-5*(j + 1)*(j + 3)
Let j(r) be the second derivative of r**5/5 - 28*r**4/3 - 2*r + 59. Factor j(a).
4*a**2*(a - 28)
Let x be 1*2/(-2) + 3. Let p be ((-3)/2 + 6/12)*-2. Factor -d**3 - 7*d + x*d**3 + 4*d - 4*d**3 - 6*d**p.
-3*d*(d + 1)**2
Let v be ((-5)/20)/(1*(-1)/2). Factor v*o + 1/2*o**2 - 1.
(o - 1)*(o + 2)/2
Suppose 30*p = -41 + 62 + 69. Suppose -5/4*y**4 - 5/2*y**2 - 15/4*y**p + 0*y + 0 = 0. What is y?
-2, -1, 0
Let q(j) be the first derivative of 1/2*j**3 + 9 - 9/4*j**2 + 0*j. Suppose q(t) = 0. What is t?
0, 3
Suppose -5*n = -0*n - 25. Factor -2*q - q**4 + 20*q**n - 18*q**5 + 4*q**2 - 3*q**4.
2*q*(q - 1)**3*(q + 1)
Factor 14442*x**2 - 4*x - 14436*x**2 - 5*x - 81.
3*(x + 3)*(2*x - 9)
Suppose 0 = -0*t + 12*t. Let m be (15 - t)/(-5) + 3. Factor 0 + m*l - 2/15*l**3 + 0*l**2.
-2*l**3/15
Let c = 51 + -47. Let c*d**3 - 8*d**4 + 2*d**5 - 9*d**5 + 8*d**2 + 3*d**5 = 0. What is d?
-2, -1, 0, 1
Let s(g) = -15*g**2 + 30*g - 60. Let o(r) = -33*r**2 + 60*r - 117. Let a(y) = 4*o(y) - 9*s(y). Let a(k) = 0. Calculate k.
4, 6
Let p(v) = 1 - 2*v + 0*v + 0*v + 4*v**3 + v. Let o be p(1). Factor 20*d**4 + 0*d**o - 27*d**2 - 32*d**4 + 6*d + 36*d**3.
-3*d*(d - 2)*(2*d - 1)**2
Factor -7*z**3 + 21*z**3 - 5*z**3 - 28*z + 24 - 5*z**3.
4*(z - 2)*(z - 1)*(z + 3)
Let q = 5099 - 15556/3. Let c = q + 87. Solve -2*y**3 + 4/3 - 2/3*y**2 + 2*y - c*y**4 = 0.
-2, -1, 1
Let i(a) be the third derivative of 0*a**4 - 1/630*a**7 + 1/2016*a**8 + 0*a - 1/720*a**6 + 18*a**2 + 0*a**3 + 1/180*a**5 + 0. What is h in i(h) = 0?
-1, 0, 1, 2
Let m(s) be the first derivative of -s**5/30 + s**4/6 - 4*s**2/3 + 7*s + 15. Let j(w) be the first derivative of m(w). Find q such that j(q) = 0.
-1, 2
Factor -25*q + 13 + 4*q + 168*q**3 - 4 + 15*q**2 - 171*q**3.
-3*(q - 3)*(q - 1)**2
Let q(a) be the third derivative of a**9/3024 - a**8/1680 - a**7/840 + a**6/360 + a**3/6 + 21*a**2. Let f(n) be the first derivative of q(n). Factor f(u).
u**2*(u - 1)**2*(u + 1)
Let c be (0 - 5) + 2 + 3. Let i(t) be the third derivative of 0*t**3 + 0*t + c - 1/75*t**5 + 0*t**4 - 1/300*t**6 + 6*t**2. Factor i(u).
-2*u**2*(u + 2)/5
Let x(o) = -4 + 4 + 81*o - 80*o + o**2. Let y(z) = -6*z**2 + 3*z. Let r(k) = 3*x(k) + y(k). Suppose r(j) = 0. Calculate j.
0, 2
Let r(a) = -a**2 + 20*a - 17. Let i be r(14). Suppose k + 340 = 5*x + 21, -x - 3*k + i = 0. Find g such that x - 7*g**2 + 12*g**2 - g**2 + 32*g = 0.
-4
Let u = -96 + 121. Let m(q) = -7*q + 175. Let k be m(u). Factor -1/3*g**4 + 0*g**3 + 0*g + k*g**2 - 1/3*g**5 + 0.
-g**4*(g + 1)/3
Let h be 2 + (-3 - -4) - (-21 - (-1540)/66). Factor 338/3 - 52/3*s + h*s**2.
2*(s - 13)**2/3
Let a = 43 - 37. Find d such that 3*d**4 - 4*d**4 + 5*d**3 + 2*d**4 + 5*d**2 - 5*d - a*d**4 = 0.
-1, 0, 1
Let p(m) be the second derivative of 1/42*m**4 + 0*m**3 - 9/7*m**2 - 14*m + 0. Factor p(z).
2*(z - 3)*(z + 3)/7
Let v(r) = 12*r**3 - 75*r**2 + 273*r - 153. Let m(d) = 3*d**3 - 19*d**2 + 68*d - 39. Let y(c) = 21*m(c) - 5*v(c). Factor y(b).
3*(b - 3)**2*(b - 2)
Let n be 39035/(-4950) + 8 - (-1)/(-9). Let j(a) be the third derivative of n*a**5 + 0*a + 1/66*a**4 + 0 + 0*a**3 + 4*a**2. Suppose j(w) = 0. What is w?
-2, 0
Let a(s) be the second derivative of -9*s**6/5 + 21*s**5/5 - 13*s**4/18 - 28*s**3/9 - 4*s**2/3 + 9*s + 7. Solve a(m) = 0 for m.
-2/9, 1
Factor 18*k**3 + 12*k**2 + 0 + 0*k - 10/3*k**4.
-2*k**2*(k - 6)*(5*k + 3)/3
Let c(a) = 255*a - 1782. Let j be c(7). Factor 1/9*z**2 - 4/9*z**j + 0 - 1/9*z**4 + 4/9*z.
-z*(z - 1)*(z + 1)*(z + 4)/9
Factor -12 - 20*d**2 - 4*d**3 - 28*d - 6*d**3 + 6*d**3.
-4*(d + 1)**2*(d + 3)
Let w(b) be the first derivative of -b**6/6 - b**5/5 + 5*b**4/4 + 5*b**3/3 - 2*b**2 - 4*b + 92. Solve w(a) = 0.
-2, -1, 1, 2
Factor -2*l**2 - 9*l - 35*l - 150 - 92 + 0*l**2.
-2*(l + 11)**2
Let v(y) be the first derivative of -4/3*y + 1/9*y**3 - 31 + 0*y**2. Factor v(r).
(r - 2)*(r + 2)/3
Let y be (2 - 1)/(-281)*2. Let c = 291/1405 + y. Factor c*r**2 + 0*r + 0 - 1/5*r**3.
-r**2*(r - 1)/5
Let o = -343 - -658. Let w be (2/(-20))/(-2 - (-616)/o). Find p such that -3/4*p**5 - w*p**4 - 3/2*p**3 + 9/4*p + 3/4 + 3/2*p**2 = 0.
-1, 1
Solve -24/7*l - 1/7*l**4 + 0 + 2/7*l**2 + 5/7*l**3 = 0 for l.
-2, 0, 3, 4
Suppose -222*h + 216*h = -42. Suppose 9 = 10*b - h*b. Find j such that 3/2*j + 3*j**2 - b - 3/2*j**3 = 0.
-1, 1, 2
Let t(q) be the third derivative of -q**5/20 - 3*q**4/2 - 27*q**3/2 - 4*q**2 - 5*q. Factor t(k).
-3*(k + 3)*(k + 9)
Let t(k) be the second derivative of -k**6/60 - 7*k**5/40 - 5*k**4/8 - 3*k**3/4 - 7*k - 3. Factor t(u).
-u*(u + 1)*(u + 3)**2/2
Let y(f) be the first derivative of -f**6/2 - 7*f**5/5 + 2*f**4 + 28*f**3/3 + 8*f**2 + 257. Determine r, given that y(r) = 0.
-2, -4/3, -1, 0, 2
Let c = -7 + 5. Let g(s) = 3*s**2 + 5*s + 5. Let h be g(c). Factor -h + 10 - 4*v - 4*v**3 + 5*v**3 + 3*v - 3*v**2.
(v - 3)*(v - 1)*(v + 1)
Let x(z) be the second derivative of -3/10*z**6 + 1/2*z**4 + 0 - 1/14*z**7 + 3/2*z**3 - 3/10*z**5 + 6*z + 3/2*z**2. Factor x(b).
-3*(b - 1)*(b + 1)**4
Let o(p) be the third derivative of p**5/240 - 17*p**4/96 + 5*p**3/4 + 32*p**2. Determine l, given that o(l) = 0.
2, 15
Let g(b) be the third derivative of b**6/120 + b**5/20 - b**4/6 - 2*b**3 - b**2 + 33. Factor g(u).
(u - 2)*(u + 2)*(u + 3)
Let n(o) be the third derivative of 0*o + 1/48*o**4 + 1/30*o**7 - 1/80*o**6 + 0 - 1/168*o**8 + 1/8*o**3 + o**2 - 19/240*o**5. Find d, given that n(d) = 0.
-1/2, 1/2, 1, 3
Let w(l) = -3*l**2 + 42*l - 151. Let o(v) = -3*v**2 + 42*v - 152. Let m = -82 - -78. Let d(j) = m*o(j) + 5*w(j). Solve d(p) = 0 for p.
7
Let t(w) be the second derivative of w**5/15 - 10*w**2 + 14*w. Let v(m) be the first derivative of t(m). Factor v(q).
4*q**2
Let x(u) = -2*u**2 - 202*u + 25. Let r(f) = f**2 + 203*f - 20. Let s(q) = 5*r(q) + 4*x(q). Determine i so that s(i) = 0.
