. Calculate q.
-1, 0
Let k(t) = -405*t - 1615. Let h be k(-4). Factor 0*x**2 + 0 + 1/4*x**3 + 0*x + 3/4*x**4 + 1/2*x**h.
x**3*(x + 1)*(2*x + 1)/4
What is h in 5*h**4 - 18*h**3 + 26*h**2 + 196 - 252*h + h**2 - 4*h**4 + 36*h**2 + 46*h**2 = 0?
2, 7
Let f(h) = h - 4. Let q be f(7). Factor -p**5 - 17 + 15 + 4*p**3 - q*p + 2*p**2 + 0*p**5.
-(p - 2)*(p - 1)*(p + 1)**3
Factor -6*l**3 + 27/2 - 3/2*l**2 + 54*l.
-3*(l - 3)*(l + 3)*(4*l + 1)/2
Let z(l) = 15*l**2 + 31*l. Let h(i) = 8*i**2 + 17*i. Let c(d) = -11*h(d) + 6*z(d). Suppose c(x) = 0. Calculate x.
0, 1/2
Solve -2341*w**3 + 10*w**5 + 6*w**5 + 20*w**4 + 2345*w**3 = 0.
-1, -1/4, 0
Let a(j) be the first derivative of -3*j**5/5 + 3*j**4/2 + 5*j**3 - 9*j**2 + 176. Let a(p) = 0. What is p?
-2, 0, 1, 3
Suppose 16 - 32 = -8*c. What is p in -6*p + p**3 + 28*p**2 - 24*p**2 + c + 11*p = 0?
-2, -1
Let z(c) be the second derivative of 89/42*c**4 + 24/7*c**3 + 16/7*c**2 - c**6 + 0 - 1/3*c**7 - 23/70*c**5 - 12*c. Solve z(k) = 0 for k.
-1, -4/7, 1
Suppose 3*b - 6 = 12. Let u(x) = -70*x**3 - 140*x**2 - 155*x. Let k(g) = 5*g**3 + 10*g**2 + 11*g. Let o(i) = b*u(i) + 85*k(i). Factor o(c).
5*c*(c + 1)**2
Suppose 4*t = -13*t - 7*t. Let z(d) be the third derivative of 0*d**3 - 1/80*d**5 + 9*d**2 + 0 - 1/840*d**7 - 1/96*d**4 + t*d - 1/160*d**6. Factor z(f).
-f*(f + 1)**3/4
Factor 380/3*o**3 + 1280/3*o - 70/3*o**4 - 640/3 + 5/3*o**5 - 1000/3*o**2.
5*(o - 4)**2*(o - 2)**3/3
Let p(y) be the first derivative of -4*y**5/5 - 4*y**4 + 4*y**3 + 28*y**2 + 32*y + 778. Let p(o) = 0. What is o?
-4, -1, 2
Let p(v) be the second derivative of -v**7/105 + 11*v**6/75 - 43*v**5/50 + 77*v**4/30 - 64*v**3/15 + 4*v**2 + 70*v. Suppose p(u) = 0. What is u?
1, 2, 5
Let w(y) be the first derivative of -y**6/1140 + y**5/114 - 2*y**4/57 + 4*y**3/57 + 12*y**2 + 25. Let m(n) be the second derivative of w(n). Solve m(x) = 0.
1, 2
Let r(i) = i**3 + 36*i**2 - 93*i + 47. Let v(l) = 2*l**2 + 2*l - 1. Let c(x) = r(x) + 3*v(x). Factor c(m).
(m - 1)**2*(m + 44)
Let w(m) be the third derivative of -1/60*m**5 - 1/120*m**6 + 0 + 1/24*m**4 + 0*m + 1/6*m**3 - 3*m**2. Factor w(n).
-(n - 1)*(n + 1)**2
Let t = -81 + 83. Factor 4 + a**t - a**3 + 0 + a + 0*a**3 - 5.
-(a - 1)**2*(a + 1)
Factor 10*z + 120*z**2 + 4*z + 6*z - 116*z**2.
4*z*(z + 5)
Suppose 0 = 16*w - 21*w - 2*d + 12, -24 = 3*w - 4*d. Suppose -2/11*v**4 + 1/11*v**3 + w*v + 0*v**2 + 0 + 1/11*v**5 = 0. What is v?
0, 1
Let s(q) be the first derivative of 2*q**3/15 + 4*q**2 + 38*q/5 - 173. Factor s(m).
2*(m + 1)*(m + 19)/5
Factor 82 - 39 + n**3 + 92*n + 30*n**2 - 4*n**2 + 45.
(n + 2)**2*(n + 22)
What is b in 12455*b - 35*b**3 - 12420*b + 5*b**4 - 92*b**2 - 3*b**2 + 90 = 0?
-2, -1, 1, 9
Let f = -163/3 + 55. Let j be 11/(11/17) + -11. Let -j - f*q**2 + 4*q = 0. Calculate q.
3
Let f(s) be the second derivative of -s**4/12 + s**3/36 + 7*s**2/12 - 37*s. Determine c so that f(c) = 0.
-1, 7/6
Solve 8502 - 147*a**3 + 288*a - 8778 + 3*a**5 + 101*a**2 + 94*a**2 - 63*a**4 = 0.
-2, 1, 23
Let d(z) = -z**4 + 5*z**3 + 7*z**2 + 7*z - 21. Let l(f) = f**4 - 7*f**3 - 6*f**2 - 8*f + 20. Let i(g) = -4*d(g) - 3*l(g). Solve i(x) = 0 for x.
-3, -2, 2
Let p be (-1*(-1)/(-3))/((-1)/(-159)). Let w = p - -56. What is v in 0*v**w - 4/7*v**2 + 0 - 2/7*v + 4/7*v**4 + 2/7*v**5 = 0?
-1, 0, 1
Let n(y) be the second derivative of y**6/195 - y**5/26 + 3*y**4/26 - 7*y**3/39 + 2*y**2/13 + 76*y. Factor n(u).
2*(u - 2)*(u - 1)**3/13
Suppose -5*b = -5*y + 45, 2*b + 15 = -0*b + y. Let l(n) = -3*n - 15. Let i be l(b). Solve -12*t + t**4 - 6*t**i + 4 + 17*t**2 - 4*t**2 + 0*t**4 = 0 for t.
1, 2
Suppose 0 = 3*b + 76 - 25. Let q(f) = -3*f**2 - f + 38. Let a(g) = g**2 - 13. Let y(z) = b*a(z) - 6*q(z). Find p such that y(p) = 0.
-7, 1
Let 312/7 + 244/7*f**3 - 4*f**4 + 1444/7*f**2 + 212*f = 0. What is f?
-3, -1, -2/7, 13
Let w(y) be the first derivative of -27/4*y**4 - 1/2*y**6 - 3*y**2 + 14 + 3*y**5 + 0*y + 7*y**3. Factor w(m).
-3*m*(m - 2)*(m - 1)**3
Suppose 5*i = 9 + 1. Suppose 0 = -i*t - 2*t + 5*k + 28, 3*k + 4 = -4*t. Find g such that -12*g - t + 13 + 4*g**2 + 1 - g**2 = 0.
2
Factor 23*z + 5/2*z**2 - 1/2*z**3 + 20.
-(z - 10)*(z + 1)*(z + 4)/2
Let a(b) = -b**2 + 3*b + 2. Let o(m) = -2*m**2 + 8*m + 7. Let x(f) = 7*a(f) - 2*o(f). Let v(j) = 19*j**2 - 31*j - 1. Let t(n) = -6*v(n) - 39*x(n). Factor t(p).
3*(p - 2)*(p - 1)
Let i = -13 - -27/2. Suppose 0 = 4*c + 8, -4*q + 198 - 194 = -2*c. Find j, given that 0*j**2 + q*j + 0 + j**4 - i*j**5 - 1/2*j**3 = 0.
0, 1
Let r(y) be the second derivative of 0 + 5*y - 35/36*y**4 - 10/9*y**3 + 1/18*y**6 + 0*y**2 - 1/6*y**5. Factor r(j).
5*j*(j - 4)*(j + 1)**2/3
Let b be 20/18*(92/10 + -8). Let -2/3*a - b + 2/3*a**3 - 2/3*a**4 + 2*a**2 = 0. Calculate a.
-1, 1, 2
Let k = 522 - 313. Factor -253*u**3 + 4*u**2 + k*u**3 - 12*u**2.
-4*u**2*(11*u + 2)
Let k be (-232)/(-20) - 77/7. Let x(a) be the second derivative of 21/100*a**5 + 0 - 1/10*a**4 - 7/10*a**3 + a + k*a**2. Suppose x(g) = 0. What is g?
-1, 2/7, 1
Let z = -312 - -314. Factor 9/2*q**3 - 3 - 15*q**z + 27/2*q.
3*(q - 2)*(q - 1)*(3*q - 1)/2
Let m be 1/7*(2584/19)/17. Factor 6/7*x + m*x**2 - 36/7 - 2/7*x**3.
-2*(x - 3)**2*(x + 2)/7
Let p(d) be the first derivative of 4*d**5 - 245*d**4/8 + 65*d**3 - 205*d**2/4 + 10*d + 143. Suppose p(f) = 0. What is f?
1/8, 1, 4
Let a(p) be the second derivative of -p**6/270 + 11*p**5/180 + 17*p**4/108 - 7*p**3/6 + 2*p**2 + 714*p. Factor a(q).
-(q - 12)*(q - 1)**2*(q + 3)/9
Let h(i) be the second derivative of -21*i**5/20 - 57*i**4/2 - 114*i**3 - 84*i**2 + 41*i - 3. Let h(w) = 0. What is w?
-14, -2, -2/7
Let v = -1683/7 + 241. Let b(n) = -4*n**2 + 166*n - 79. Let x be b(41). Suppose 2/7 + v*u**x - 4/7*u + 0*u**2 - 2/7*u**4 = 0. Calculate u.
-1, 1
Let y(g) be the second derivative of 7/2*g**3 + 1/2*g**4 - 8*g + 9/2*g**2 - 1/2*g**6 - 1/14*g**7 + 0 - 9/10*g**5. Factor y(o).
-3*(o - 1)*(o + 1)**3*(o + 3)
Factor 12288/5 + 3/5*m**2 + 384/5*m.
3*(m + 64)**2/5
Factor -3/2*l + 1/4*l**2 + 2.
(l - 4)*(l - 2)/4
Let z(n) be the first derivative of -5*n**6/6 + 2*n**5 - 10*n**3/3 + 5*n**2/2 + 32. Solve z(t) = 0.
-1, 0, 1
Suppose 2*m = -r - 4*r + 18, -r = 4*m - 18. Find b, given that -4 - b**2 - 3*b**2 + 6*b**r - 2*b = 0.
-1, 2
Let y(n) = -n**2 + n - 1. Let v be (-4)/(4/3) - -4. Let k(q) = 15*q**2. Let o(l) = v*k(l) + 20*y(l). Factor o(m).
-5*(m - 2)**2
Find n, given that -8/3*n**3 + 24*n - 6 - 52/3*n**2 + 2*n**4 = 0.
-3, 1/3, 1, 3
Let r be (-15)/6 - (-287)/42. Let d = r - 11/3. Factor -2/9*a**4 + d*a**2 + 10/9*a + 4/9 - 2/9*a**3.
-2*(a - 2)*(a + 1)**3/9
Let v(d) be the first derivative of 1/5*d**2 - 2 + 6*d - 1/15*d**4 + 1/15*d**3. Let j(r) be the first derivative of v(r). Factor j(f).
-2*(f - 1)*(2*f + 1)/5
Let i be (10 - 10)*((-21)/6)/(-7). Let p(q) be the second derivative of -8*q + 0 + i*q**3 - q**2 + 1/6*q**4. Determine j so that p(j) = 0.
-1, 1
Let 0 - 8/3*o**3 - 20/9*o + 2/9*o**4 + 14/3*o**2 = 0. Calculate o.
0, 1, 10
Suppose 4*n - 377 = -5*i, 374 = 9*i - 4*i + 3*n. Let u = i + -70. Find b such that 3/5*b**2 + 1/5*b + 1/5*b**4 + 3/5*b**u + 0 = 0.
-1, 0
Let s = 1095/2 - 5471/10. Solve -1/5*n**2 + s*n + 0 = 0 for n.
0, 2
Let j = -1266 + 1270. Factor 0 - 4/7*s**5 - 16/7*s + 12/7*s**3 - 16/7*s**2 + 8/7*s**j.
-4*s*(s - 2)**2*(s + 1)**2/7
Let k be ((-15)/(-3))/20 - (-143)/132. Factor k*n + 5/3 - 1/3*n**2.
-(n - 5)*(n + 1)/3
Let g(n) be the third derivative of -n**8/1680 + 2*n**7/315 - n**6/45 + 13*n**4/24 - 16*n**2. Let p(a) be the second derivative of g(a). Solve p(x) = 0 for x.
0, 2
Let y(l) = -l + 4. Let w(q) = 2*q**2 - q - 28. Let k(d) = -w(d) - y(d). Factor k(m).
-2*(m - 4)*(m + 3)
Let v(q) = -2*q**2 - 19*q - 9. Let y be v(-10). Let p = y + 24. Solve -n**4 + n**2 + 1/2*n**p - 1/2*n + 0*n**3 + 0 = 0.
-1, 0, 1
Factor 58/7*t + 5/7*t**3 - 16/7 - 47/7*t**2.
(t - 8)*(t - 1)*(5*t - 2)/7
Suppose r = -r + 8, -2*r + 220 = a. Suppose -a = -4*c + 3*l - 0*l, -3*c + l = -164. Determine o so that -3*o**2 - c*o + 33*o - 75 - 7*o = 0.
-5
Factor -7203/2 - 3/2*n**2 + 147*n.
-3*(n - 49)**2/2
Let a(c) = 96*c - 288. Let z be a(3). Let g(h) be the first derivative of 0*h**4 + 1/15*h**5 + 1/3*h - 2/9*h**3 + z*h**2 - 5. Factor g(u).
(u - 1)**2*(u + 1)**2/3
Let v(c) = -c**3 - 7*c**2 - 2*c - 11. Let g be v(-7). Find d such that 8*d**2 - 8*d**4 - 2*d**5 - g*d + 0*d + 6*d**