 -v**5/5 - 15*v**4/4 - 13*v**3 - 37*v**2/2 - 12*v + 121. Let w(u) = 0. What is u?
-12, -1
Let m(a) be the third derivative of a**6/90 - 2*a**4/3 + 7*a**3/6 - 4*a**2. Let c(l) be the first derivative of m(l). Factor c(r).
4*(r - 2)*(r + 2)
Let y be (-24)/(114/19) - 9/(-2). Suppose -3*u + 4 + y*u**2 = 0. Calculate u.
2, 4
Suppose -4/9*g**2 + 140/9*g + 0 = 0. What is g?
0, 35
Let p(n) be the first derivative of 2*n**5/25 + 9*n**4/10 + 16*n**3/15 + 104. What is z in p(z) = 0?
-8, -1, 0
Let i be 24/(-264) - (-45)/11. Let q(l) be the second derivative of 0 + i*l - 3/2*l**3 + 3*l**2 + 1/4*l**4. Factor q(r).
3*(r - 2)*(r - 1)
Let u(p) = p**5 + p**4 + p**2 - 1. Let d(c) = 8*c**5 + 4*c**4 - 16*c**3 + 12*c**2 + 12*c - 12. Let r(j) = d(j) - 4*u(j). Factor r(t).
4*(t - 1)**3*(t + 1)*(t + 2)
Determine m so that -90 - 27*m + 78*m**2 + 22*m + 5*m**3 + 12*m**2 = 0.
-18, -1, 1
Let z(t) be the second derivative of -t**5/70 + 4*t**4/21 - 4*t**3/7 + 2*t - 41. Determine p so that z(p) = 0.
0, 2, 6
Let h(w) be the first derivative of -3*w**5/10 - 15*w**4/16 - w**3 - 3*w**2/8 - 66. Factor h(s).
-3*s*(s + 1)**2*(2*s + 1)/4
Suppose -2*f - 3*b = -9, 0 = 2*f - 9*b + 7*b - 4. Suppose f*l - 3*u - 15 = 0, 2*l + 5*u = 5*l - 21. Let 2/5*y**l - 4/5*y + 2/5 = 0. What is y?
1
Let x be (-144)/27 - (-4)/(-6). Let n(b) = -b**3 - 5*b**2 + 7*b + 8. Let y be n(x). Let -2 + o**2 - 4*o**y - 2*o - 4*o - 1 = 0. What is o?
-1
Let r(l) be the third derivative of -l**6/240 - 23*l**5/180 - 19*l**4/48 - 7*l**3/18 + 2*l**2 - 140*l. Factor r(b).
-(b + 1)*(b + 14)*(3*b + 1)/6
Let v(k) be the second derivative of -1/2*k**3 + 28*k - 1/2*k**4 + 3/20*k**5 + 0 + 3*k**2. Let v(x) = 0. What is x?
-1, 1, 2
Let v be 2 + -3 + 2 - -2. Let s be (3/4)/((-4)/(-80)). Solve -s + 12*d**3 + 15 + v*d**2 = 0 for d.
-1/4, 0
Let r(n) = 9*n + 17. Let b be r(-1). Let j be b/1224*33 + 4/34. Find a, given that -1/3*a**2 + 2/3 - j*a = 0.
-2, 1
Let c be 384/63 + -7 + 1. Let g(s) be the first derivative of -1 - c*s**3 + 0*s + 1/7*s**2. Factor g(z).
-2*z*(z - 1)/7
Let c be (8/12 + (-38)/60)/(4/16). Find j, given that 2/3*j**2 - 4/15*j**5 + 14/15*j**4 - c*j + 0 - 6/5*j**3 = 0.
0, 1/2, 1
Suppose 5*z + 0 = 3*a + 19, 5*a + 15 = 0. Factor 7*q**z - 3*q - 3*q**2 - q - 4*q**3 + 4*q**2.
-4*q*(q - 1)**2
Let z(h) be the second derivative of 3*h**5/20 - h**4/4 + 241*h. Factor z(o).
3*o**2*(o - 1)
Suppose 2 = 25*p - 123. Let o(t) be the third derivative of 0 + 2*t**3 + 7/30*t**p + 23/12*t**4 + 2*t**2 + 0*t. Factor o(q).
2*(q + 3)*(7*q + 2)
Let d(k) be the second derivative of -5/6*k**4 + 0 - 1/20*k**6 - 2/3*k**3 - 7/20*k**5 + 0*k**2 - 20*k. Solve d(x) = 0.
-2, -2/3, 0
Let l(z) be the second derivative of 2*z**6/15 + 6*z**5/5 - 5*z**4 + 16*z**3/3 + 272*z. Factor l(c).
4*c*(c - 1)**2*(c + 8)
Suppose -5*c + 2*u + 10 = 3, 0 = -2*u - 2. Let f be -1 + c - (3 + (-33)/9). Factor -2/3 - 1/6*z**2 + f*z.
-(z - 2)**2/6
Let t(v) = v**2 + 23*v + 122. Let f be t(-15). Let d(y) be the first derivative of -2/3*y - 3 - 1/3*y**f - 1/18*y**3. Suppose d(o) = 0. What is o?
-2
Let p(u) be the second derivative of -u**5/70 + u**4/6 + 4*u**3/3 + 20*u**2/7 + 98*u. Let p(k) = 0. What is k?
-2, -1, 10
Suppose o - 6*t = -t - 13, 5*o - 4*t + 23 = 0. Let y be o - (0 + -12 + 3). Determine m so that y*m - 5 + 2 + 0 + 12*m**3 + 21*m**2 = 0.
-1, 1/4
Let y(f) be the first derivative of 4*f**3/33 - 183*f**2/22 - 46*f/11 + 59. Factor y(c).
(c - 46)*(4*c + 1)/11
Suppose 6/7*a - 4/7 - 2/7*a**2 = 0. Calculate a.
1, 2
Let h(w) be the second derivative of 0*w**4 + 0*w**5 + 0 + 0*w**2 + 1/40*w**6 - 9*w + w**3 - 1/280*w**7. Let m(c) be the second derivative of h(c). Factor m(o).
-3*o**2*(o - 3)
Let x(s) = 5*s**2 - 65*s. Let y(a) = a**2 - 2*a. Let c(m) = -x(m) + 10*y(m). Factor c(g).
5*g*(g + 9)
Let u(n) be the first derivative of -1/40*n**4 + 1/5*n**2 + 0*n + 3 - 1/10*n**3. Let u(p) = 0. Calculate p.
-4, 0, 1
Suppose r - 4*s = s + 17, -3*r + 3*s = -15. Factor 48*p**3 - 49*p + 49*p + 14*p**5 - 32*p**r + 6*p**5 + 72*p**4.
4*p**2*(p + 2)**2*(5*p - 2)
Let s = 3409 + -3407. Solve -2/5 - 2/5*f**s - 4/5*f = 0 for f.
-1
Let x(l) be the second derivative of l**4/30 - 92*l**3/15 + 2116*l**2/5 + 3*l - 23. Factor x(t).
2*(t - 46)**2/5
Let 1/4*q**2 - 9/4 + 2*q = 0. Calculate q.
-9, 1
Suppose -5*a - 5 = -3*w, 17 = -5*a - 3. Let k be (4/w)/(8/(-20)). Factor -15*o**3 + 14*o**2 - 21*o + 6 + 13*o**k + 6*o**4 + 0*o**4 - 3*o**4.
3*(o - 2)*(o - 1)**3
Let z(y) be the second derivative of y**5/240 + y**4/48 - 5*y**2 - 14*y. Let c(t) be the first derivative of z(t). Find p such that c(p) = 0.
-2, 0
Suppose -9/2*j + 21*j**2 + 0 + 69/2*j**3 + 9*j**4 = 0. Calculate j.
-3, -1, 0, 1/6
Let p(h) be the second derivative of h**5/10 - h**4 + 15*h. Factor p(d).
2*d**2*(d - 6)
Let b(u) = u**2 - 6*u + 5. Let r be b(5). Suppose v + v - 8 = r. Find o such that 2*o - o**4 + 2*o**3 + 1 + 0*o**3 - 4*o + 0*o**v = 0.
-1, 1
Let q(w) be the second derivative of -w**5/60 + 7*w**3/18 - w**2 - w + 12. Factor q(u).
-(u - 2)*(u - 1)*(u + 3)/3
Let k(c) be the second derivative of 5*c**7/14 - 27*c**6/10 + 15*c**5/2 - 9*c**4 + 4*c**3 + 21*c + 2. Find m, given that k(m) = 0.
0, 2/5, 1, 2
Suppose 9*o = -11*o + 40. Let g(d) be the first derivative of 0*d + 3/8*d**4 + 1/6*d**6 - 9/20*d**5 + 2 - 1/12*d**3 + 0*d**o. Factor g(i).
i**2*(i - 1)**2*(4*i - 1)/4
Suppose 286*a - 335*a = -196. Determine s so that -1/4*s**2 - 1/2*s + 3/4*s**3 - 1/4*s**5 + 1/4*s**a + 0 = 0.
-1, 0, 1, 2
Let q(b) be the first derivative of -b**5/25 + b**3/5 + b**2/5 + 191. Factor q(y).
-y*(y - 2)*(y + 1)**2/5
Suppose 4*s - 6 = 6, 3*h + 4*s - 117 = 0. Suppose -9*z + h = 17. Suppose -4/11 - 2/11*m**z - 6/11*m = 0. Calculate m.
-2, -1
Let v(d) be the second derivative of -d**5/10 + 25*d + 1. Factor v(w).
-2*w**3
Let n be (1/570)/((-13)/(-12116)). Let f = -2/57 + n. Factor -56/5*x + 98/5*x**2 + f.
2*(7*x - 2)**2/5
Let 0*v**5 - 506*v**4 + 491*v**4 - 63*v**3 + 3*v**5 - 69*v**2 - 24*v = 0. Calculate v.
-1, 0, 8
Let j(o) = o**3 - 2*o**2 - 2*o - 4. Let d be j(4). Suppose -10*m + d = -0. Factor 1/2*c - 1/4*c**3 + 0 + 1/4*c**m.
-c*(c - 2)*(c + 1)/4
Suppose 3332*n + 3341*n - 5*n**3 + 4 - 4 - 6668*n = 0. What is n?
-1, 0, 1
Let y(f) = 3*f**3 + 27*f**2 + 147*f - 169. Let p(o) = -19*o**3 - 163*o**2 - 884*o + 1014. Let h(v) = -6*p(v) - 39*y(v). Factor h(b).
-3*(b - 1)*(b + 13)**2
Suppose -n + 29 = 5*o, n + o - 5 = 4. Let h(t) be the second derivative of 0 + 0*t**2 - 5*t - 1/6*t**n + 0*t**3 + 7/20*t**5 - 1/6*t**6. Factor h(y).
-y**2*(y - 1)*(5*y - 2)
Let h(j) be the second derivative of j**6/40 + 3*j**5/5 + 31*j**4/8 + 10*j**3 + 99*j**2/8 + 50*j. Suppose h(v) = 0. Calculate v.
-11, -3, -1
Let s(y) be the third derivative of -1/75*y**5 + 0 + 0*y + 0*y**3 + 1/150*y**6 - 6*y**2 - 1/1050*y**7 + 0*y**4. Suppose s(b) = 0. What is b?
0, 2
Let h = 16732 - 16730. Solve -6/11*f**h + 4/11 - 2/11*f**3 + 2/11*f + 2/11*f**4 = 0 for f.
-1, 1, 2
Let o(k) = -2*k - 75. Let m be o(-42). Let x(b) be the first derivative of -3/4*b**4 - 81/2*b**2 - 81*b - m*b**3 + 4. Let x(r) = 0. Calculate r.
-3
Let o(y) = -y**3 + 10*y**2 - 12*y + 7. Let q be o(9). Let x = -16 - q. Factor 2*i**3 - 14*i**2 + 32 + x*i**3 - 24.
2*(i - 2)*(i - 1)*(3*i + 2)
Let q = 1234 + -18509/15. Let t(h) be the first derivative of 8/25*h**5 - 2/5*h**4 + 0*h + 0*h**2 + 0*h**3 - q*h**6 - 6. Factor t(u).
-2*u**3*(u - 2)**2/5
Let c(m) = m**2 + 160*m + 3801. Let d be c(-131). Suppose 1/4*y**d + 16 + 4*y = 0. Calculate y.
-8
Factor 10*j**4 - 3*j**2 - 7*j**2 - 2*j**2 + 2*j**2 - 4*j**3 + 4*j.
2*j*(j - 1)*(j + 1)*(5*j - 2)
Let f(t) = 13*t - 9. Let h be f(1). Suppose -h*x = -2*l - 2, -17 + 2 = -5*l. Suppose 0*s + 0 + 2/5*s**3 - 4/5*s**x + 16/5*s**4 + 2*s**5 = 0. What is s?
-1, 0, 2/5
Let g(b) be the first derivative of -b**9/4536 + b**8/1260 - 14*b**3 + 20. Let c(h) be the third derivative of g(h). Find y, given that c(y) = 0.
0, 2
Let r(u) be the second derivative of 5*u**6/24 + 23*u**5/6 - 49*u**4/6 + 20*u**3/3 - u**2/2 + 4*u. Let t(i) be the first derivative of r(i). Factor t(q).
(q + 10)*(5*q - 2)**2
Let c(b) = b**2 + 17*b + 18. Let r be c(-16). Suppose 3*g + n - 1 = -r*g, -1 = -n. Find k, given that -10/7*k**5 - 2*k**4 - 4/7*k**3 + g*k + 0 + 0*k**2 = 0.
-1, -2/5, 0
Let h(o) be the first derivative of 5/3*o**3 + 4*o - 21/2*o**2 - 12. Solve h