+ 5*g**2 + 0 + 0*g**b. Factor j(p).
-2*p*(p - 2)*(p + 1)/3
Let w = -14 - -23. Let x(r) be the first derivative of -1/3*r**3 + 3*r**2 - w*r + 5. Find z, given that x(z) = 0.
3
Let h(n) = n**2 - n + 6. Let g be h(0). Let d be ((-6 - (0 + -4))/3)/((-89)/267). Factor -22/3*o - g*o**d - 8/3 + 2/3*o**4 - 2/3*o**3.
2*(o - 4)*(o + 1)**3/3
Let p(h) = 6*h**3 - 17*h**2 + 31*h - 7. Let u = 21 + -19. Let d be 7 - 8 - u/1. Let o(y) = 3*y**3 - 9*y**2 + 15*y - 3. Let z(a) = d*p(a) + 7*o(a). Factor z(t).
3*t*(t - 2)**2
Let y be 3 + 78/(-10) + 5. Let z(p) be the first derivative of 4 + 1/9*p**3 + 1/18*p**6 + 1/4*p**4 + 0*p + 0*p**2 + y*p**5. Solve z(s) = 0 for s.
-1, 0
Let d(t) be the second derivative of -t**5/130 + t**4/26 + 3*t**3/13 + 5*t**2/13 + 44*t. Suppose d(q) = 0. Calculate q.
-1, 5
Let o = -138 - -138. Let c(p) be the second derivative of 0 - 5*p + 2/15*p**6 + 0*p**2 + 1/10*p**5 + 0*p**4 + o*p**3. Factor c(w).
2*w**3*(2*w + 1)
Let j(w) = 17*w**3 + 47*w**2 + 57*w + 27. Let l(d) = 9*d**3 + 24*d**2 + 29*d + 14. Let k(o) = 4*j(o) - 7*l(o). Solve k(n) = 0 for n.
-2, -1
Let l(r) be the second derivative of 3*r**5/20 - r**4/2 + r**3/2 - 2*r + 32. Factor l(n).
3*n*(n - 1)**2
Let b(d) be the second derivative of d**6/135 + 2*d**5/45 + d**4/18 + 6*d - 2. Suppose b(u) = 0. What is u?
-3, -1, 0
Let y(n) be the first derivative of 2*n**3/9 - 2*n/3 - 296. Determine o so that y(o) = 0.
-1, 1
Let h(i) be the third derivative of -i**6/1800 + i**5/150 - i**4/30 - 2*i**3/3 + 37*i**2. Let k(q) be the first derivative of h(q). Solve k(d) = 0.
2
Let c = -5 - -5. Let v(a) be the third derivative of 0*a + c*a**6 + 3*a**2 + 0*a**3 - 1/30*a**5 + 0 + 1/105*a**7 + 0*a**4. Find i, given that v(i) = 0.
-1, 0, 1
Factor -153/5*i - 48/5*i**2 - 3/5*i**3 - 108/5.
-3*(i + 1)*(i + 3)*(i + 12)/5
Let q(b) = b**3 + 30*b**2 + 29*b - 1. Let r be q(-29). Let j be 2 + r/(16/30). What is z in 1/4*z**2 + 1/8*z**3 - j*z - 1/4*z**4 + 0 = 0?
-1, 0, 1/2, 1
Let t(h) be the third derivative of h**5/20 - 11*h**4/4 + 121*h**3/2 - 148*h**2. Determine o so that t(o) = 0.
11
Suppose -3*l = l - 12. Suppose 0 = 2*n + 3*z, -13*z + 14*z = 0. Suppose 40*m**2 + 4*m + 4*m + n*m + 50*m**l = 0. Calculate m.
-2/5, 0
Let w be (-1)/(-30) + 201/670. Let m(i) be the third derivative of w*i**4 + 0*i + 6*i**2 + 0 - 1/15*i**5 - 2/3*i**3. Suppose m(g) = 0. Calculate g.
1
Let z(i) = 77*i**2 - 1384*i - 36. Let q be z(18). Factor 2/21*x**3 + q - 2/21*x + 0*x**2.
2*x*(x - 1)*(x + 1)/21
Let d(t) = 4*t + 11 - 6*t + t. Let z be d(0). Factor 1 - 1 + 2*h**5 - 15*h**4 - z*h**5 - 6*h**3.
-3*h**3*(h + 1)*(3*h + 2)
Let p = -631/10 - -4497/70. Factor 242/7*i**2 + p + 88/7*i.
2*(11*i + 2)**2/7
Suppose 5*c + b = 7 + 7, -5*c = -3*b + 2. Let i(q) be the first derivative of 0*q + 32/3*q**3 + 7/2*q**4 - 5 + 4*q**c. Factor i(l).
2*l*(l + 2)*(7*l + 2)
Let n(x) be the second derivative of -x**3/3 + 4*x**2 - 3*x. Let m be n(3). Factor m*v + 4/3 + 2/3*v**2.
2*(v + 1)*(v + 2)/3
Suppose -157*h + 3*g = -153*h + 16, 3*h + 5*g - 46 = 0. Let -2/9*k - 4/3*k**h + 4/9 + 8/9*k**4 + 8/9*k**3 - 2/3*k**5 = 0. What is k?
-1, -2/3, 1
Let q(z) be the second derivative of -5*z**8/336 + z**7/84 - 5*z**3/6 + 3*z + 6. Let d(c) be the second derivative of q(c). Factor d(w).
-5*w**3*(5*w - 2)
Let o(g) be the second derivative of -2*g - 1/4*g**4 - 1/28*g**7 - 1/6*g**6 - 1/12*g**3 + 0 - 3/10*g**5 + 0*g**2. Factor o(q).
-q*(q + 1)**3*(3*q + 1)/2
Suppose -20*v + 48 = -52. Let w(q) be the second derivative of -1/90*q**6 - 1/20*q**5 - 1/12*q**4 + 0 + 0*q**2 + v*q - 1/18*q**3. What is r in w(r) = 0?
-1, 0
Let t(m) be the first derivative of 2*m**5/5 + 5*m**4/2 + 4*m**3 - 4*m**2 - 16*m + 259. Factor t(r).
2*(r - 1)*(r + 2)**3
Let w(h) be the second derivative of h**7/42 + 11*h**6/60 - 37*h**5/40 + 25*h**4/24 + 7*h**3/12 - 2*h**2 + 3*h - 1. What is z in w(z) = 0?
-8, -1/2, 1
Let q(z) = -12*z**4 + 38*z**3 - 27*z**2 + 4*z. Let f(i) = -12*i**4 + 39*i**3 - 27*i**2 + 3*i. Let g(p) = -2*f(p) + 3*q(p). Factor g(r).
-3*r*(r - 2)*(2*r - 1)**2
Let f = 1141/2 + -2267/4. What is g in 20*g**2 + f*g - 25/2 + 15/4*g**3 = 0?
-5, -1, 2/3
Let t(w) be the second derivative of -w**8/448 - w**7/140 + 3*w**6/160 + w**5/20 - w**4/8 - w**2 + 13*w. Let b(y) be the first derivative of t(y). Factor b(i).
-3*i*(i - 1)**2*(i + 2)**2/4
Let z(p) be the second derivative of 5/2*p**3 + 47*p - 3*p**2 + 0 + 3*p**4. Suppose z(y) = 0. What is y?
-2/3, 1/4
Suppose 4*z + 5*i - 36 = 0, 0 = 11*z - 12*z + 3*i - 8. Let y(g) be the first derivative of -8*g - 16/3*g**3 - 4 - g**z - 10*g**2. Find u such that y(u) = 0.
-2, -1
Let p(f) be the first derivative of -f**6/24 + 3*f**5/20 + 405. Factor p(x).
-x**4*(x - 3)/4
Let l(o) be the second derivative of o**5/20 - 2*o**4/3 + 17*o**3/6 - 5*o**2 + 66*o. Factor l(p).
(p - 5)*(p - 2)*(p - 1)
Let f(o) be the first derivative of -o**8/420 + o**6/50 + 2*o**5/75 + 29*o**2/2 + 31. Let x(c) be the second derivative of f(c). What is t in x(t) = 0?
-1, 0, 2
Let z(i) be the third derivative of -i**6/6 + 23*i**5/12 + 5*i**4/4 + 4*i**2 + 64. Find p such that z(p) = 0.
-1/4, 0, 6
Let z = 3433 + -17162/5. Solve 6/5 - 12/5*w**5 - 27/5*w + 39/5*w**3 - 9/5*w**4 + z*w**2 = 0 for w.
-2, -1, 1/4, 1
Let d = 28 - 26. Factor 6*f**d - 5*f**2 + 2*f - 4*f**2 + f**3.
f*(f - 2)*(f - 1)
Factor -2 - 4*c**4 + 12*c - 36*c**3 - 14 + 20*c**2 + 24*c**3.
-4*(c - 1)**2*(c + 1)*(c + 4)
Suppose 0*o + 5*o - 2 = -4*y, -o = -y + 5. Let 4*c**5 - 1 + 1358*c**y + 64*c + 96*c**2 - 1354*c**3 - 24*c**4 + 1 = 0. Calculate c.
-1, 0, 4
Suppose -19*u = -15*u - 8. Let o = 2 - 2. Factor -1 + u*r + o*r**2 + r**2 + r**2 - r.
(r + 1)*(2*r - 1)
Let c be (2527/42)/19 - (-2)/(-12). Let q(g) be the second derivative of -1/12*g**4 + 0*g**2 + 0*g**c + 0 - 1/20*g**5 - 3*g. Factor q(d).
-d**2*(d + 1)
Find a, given that 5*a**2 + 11*a - a**3 - 4*a**5 - 21*a**2 + 16*a**4 + a - 7*a**3 = 0.
-1, 0, 1, 3
Let d = 69 - 65. Suppose 3 = 3*n - 7*f + d*f, -5*f = -n - 7. Solve -n*m**4 - 15/4*m**3 + 0 - 3/4*m**5 + 0*m - 3/2*m**2 = 0.
-2, -1, 0
Let c(r) = r**3 + 6*r**2 + 3*r - 7. Let b be c(-5). Suppose b*u + u = 12. Factor 6*q + 27*q**2 - 18*q**2 - q**3 + 4*q**u.
3*q*(q + 1)*(q + 2)
Let w(g) be the second derivative of g**8/1680 - g**7/105 + 11*g**6/180 - g**5/5 - g**4/3 - 29*g. Let y(u) be the third derivative of w(u). Factor y(t).
4*(t - 3)*(t - 2)*(t - 1)
Suppose 2 = -4*z + 18. Suppose -a + 2*y - 2 = 0, -17 = -z*a + y + 2*y. Determine l, given that -l**3 + 0*l**3 - 7*l + a*l = 0.
-1, 0, 1
Let i be 2*(-2)/3*-3. Let v = 7 + -5. Determine s, given that i*s**4 + 28*s**3 - v*s - 8*s**2 - s**5 - 13*s**5 + 4 - 12*s = 0.
-1, 2/7, 1
Factor -84 + 8 - 123*a - a**3 - 2*a**3 - 21*a**2 - 15*a**2 - 50.
-3*(a + 2)*(a + 3)*(a + 7)
Let u(k) be the second derivative of 3*k**5/70 - 59*k**4/14 + 899*k**3/7 - 2523*k**2/7 + 68*k. Factor u(o).
6*(o - 29)**2*(o - 1)/7
Let g = -2 - -2. Let v be 2 - ((-180)/144 - -1*(-201)/(-84)). Factor g + 12/7*q**2 + 3*q**3 - 12/7*q + v*q**4.
3*q*(q + 2)**2*(2*q - 1)/7
Let v(x) be the first derivative of -1/11*x**4 + 1/33*x**3 + 0*x**2 + 1/22*x**5 - 5 + 11*x. Let k(s) be the first derivative of v(s). Factor k(g).
2*g*(g - 1)*(5*g - 1)/11
Let c(j) = -j + 8. Let m be c(5). Factor -m*b**4 - 10*b**3 - 6*b**3 + 7*b**4.
4*b**3*(b - 4)
Let d(f) = -10*f**5 + 21*f**4 + 73*f**3 + 95*f**2 + 48*f + 7. Let a(s) = -2*s**5 + 2*s**4 - s**3 - s**2. Let u(m) = -3*a(m) + d(m). Solve u(q) = 0 for q.
-1, -1/4, 7
Find f such that -9*f**3 + 9*f**2 + f**4 + 2*f**4 + 0*f**4 - 43*f + 40*f = 0.
0, 1
Let q be ((-46)/(-920) - (-606)/(-120)) + (-194)/(-38). Factor -q*l**2 - 8/19*l - 6/19.
-2*(l + 1)*(l + 3)/19
Suppose -m = -5*j + 23, 0 = m - 6*j + 10 + 18. Let y(a) be the first derivative of 2 - 24*a + 42*a**m - 21/4*a**4 + 2*a**3. Let y(k) = 0. Calculate k.
-2, 2/7, 2
Let t(p) be the second derivative of -2*p**7/7 - 2*p**6/3 + 58*p**5/5 + 76*p**4 + 592*p**3/3 + 256*p**2 - 8*p - 53. Let t(q) = 0. What is q?
-2, -1, 16/3
Let b(q) be the second derivative of -7/20*q**5 - 1/30*q**6 + 0 - 3/2*q**4 - 4*q**2 - 10/3*q**3 - 17*q. Find v, given that b(v) = 0.
-2, -1
Solve 11660/9*f**2 + 5618/9*f**3 + 16/9 + 856/9*f = 0.
-2, -2/53
Let m(j) be the third derivative of -j**8/2520 - j**7/1575 + j**6/900 + j**5/450 + 32*j**2 + 2. Factor m(w).
-2*w**2*(w - 1)*(w + 1)**2/15
Solve 2/5*q