x(m) = 0.
-21, -1/3
Let s(u) be the first derivative of u**7/1050 + u**6/300 - u**5/300 - u**4/60 - 67*u**2/2 + 39. Let w(k) be the second derivative of s(k). Solve w(t) = 0 for t.
-2, -1, 0, 1
Let h(k) = 8*k - 16. Let f be h(3). Suppose -24 = v - 3*m + f*m, -v + m + 6 = 0. What is y in 3*y**3 + 5*y**2 - 20*y + 2*y**3 - v - 8 - 11 = 0?
-2, -1, 2
Let l = -55355/3 + 18645. Suppose -4/3*z**5 - 100*z**3 - 160*z - 20*z**4 - l*z**2 - 48 = 0. Calculate z.
-6, -1
Let h(p) be the second derivative of p**6/180 + 2*p**5/15 + 5*p**4/24 + 2*p - 9. Factor h(n).
n**2*(n + 1)*(n + 15)/6
Factor -42 - 101*l - 4*l**3 - 448117*l**4 - 77*l**2 + 448116*l**4 - l**3 - 14*l**3.
-(l + 1)**2*(l + 3)*(l + 14)
Let i(s) be the second derivative of -3*s**5/10 + 73*s**4/4 - 342*s**3 + 486*s**2 + 103*s - 2. Find k, given that i(k) = 0.
1/2, 18
Let k(l) = -2*l**3 - 9*l**2 - 7*l + 1. Let s be k(-6). Let a = s - 149. Factor 107*d - 3*d**3 + 1733*d**2 - 26*d - 1706*d**a + 81 + 6*d**3.
3*(d + 3)**3
Let x(n) be the first derivative of -n**6/6 + 4*n**5/5 + 3*n**4/4 - 10*n**3/3 - 4*n**2 - 1152. Factor x(h).
-h*(h - 4)*(h - 2)*(h + 1)**2
Let y = 335 + 89. Let o = -420 + y. Factor 13/2*d**3 + 0 + 1/2*d - 3*d**o - 4*d**2.
-d*(d - 1)**2*(6*d - 1)/2
Let k(r) = 5*r**2 - 100*r - 112. Let q(c) = -3*c**2 + 50*c + 57. Let s(l) = -4*k(l) - 7*q(l). Solve s(d) = 0.
-49, -1
Suppose 5*j - 16 = j. Suppose -5*y - 4*b = -30, 3*y - 17 = -5*b + 14. Find c such that -3 + j*c**y - 5 + 8 = 0.
0
Let o(t) be the third derivative of t**7/560 - t**6/80 + t**4/4 - 95*t**3/6 - 2*t**2 - 6*t. Let u(w) be the first derivative of o(w). Factor u(c).
3*(c - 2)**2*(c + 1)/2
Let v(k) be the third derivative of 11*k**6/72 - 3*k**5/8 - 5*k**4/12 - 31*k**3/3 + 63*k**2. Let m(z) be the first derivative of v(z). Factor m(w).
5*(w - 1)*(11*w + 2)
Suppose n + 2 = -3*r, -3*r = -3*n - 10 + 28. Suppose -5*x - 2*h + 58 + 23 = 0, 12 = n*h. Let 10 - 5 + 7*y + x*y**2 + 5*y**3 + 8*y = 0. What is y?
-1
Let y(t) = 47*t + 58. Let o be y(-1). Let g(v) be the second derivative of 0*v**5 + 0 - 1/10*v**6 + o*v + 0*v**2 + v**4 + 0*v**3. Solve g(w) = 0 for w.
-2, 0, 2
Suppose 65*q - 5160 = 50*q. Find g, given that -8*g**4 + 39 + 96*g - 20*g**5 + q*g**2 - 39 + 260*g**3 = 0.
-3, -1, -2/5, 0, 4
Let 292/9*o + 40 + 64/9*o**2 + 4/9*o**3 = 0. What is o?
-9, -5, -2
Let h = -1565/3 - -522. Let x(n) be the first derivative of 1/45*n**5 + 4/9*n**3 + h*n + 6 + 5/9*n**2 + 1/6*n**4. Determine b so that x(b) = 0.
-3, -1
Let r(i) be the first derivative of 95/2*i**2 - 5/4*i**4 + 40/3*i**3 - 39 + 50*i. Factor r(k).
-5*(k - 10)*(k + 1)**2
Let p(x) = -36*x**3 + 786*x**2 - 1692*x + 33. Let o(k) = -k**3 - 3*k**2 + 2*k + 1. Let l(y) = 33*o(y) - p(y). Solve l(d) = 0 for d.
0, 2, 293
Let w be 80/25 - (2 + (-27)/15). Suppose 87 = 6*h - 45. Let 16*g + 54 + h + 14*g - 1 + w*g**2 = 0. Calculate g.
-5
Factor -3/4*w**2 + 363/2 - 723/4*w.
-3*(w - 1)*(w + 242)/4
Let a(m) = -9*m**3 - 330*m**2 - 387*m + 579. Let y(h) = -2*h**3 - 82*h**2 - 96*h + 145. Let u(k) = -5*a(k) + 21*y(k). Determine x, given that u(x) = 0.
-2, 1, 25
Let n(u) be the third derivative of -73/12*u**5 + 5 - 1/24*u**6 - 1080*u**3 + 0*u - 285*u**4 - 14*u**2. Factor n(p).
-5*(p + 1)*(p + 36)**2
Solve -18/5*d**2 + 1/5*d**5 + 9/5 + 9/5*d**4 + 1/5*d - 2/5*d**3 = 0 for d.
-9, -1, 1
Let y(x) be the second derivative of 2*x**6/15 + 5*x**5 + 119*x**4/3 + 190*x**3/3 - 83*x - 14. Factor y(a).
4*a*(a + 1)*(a + 5)*(a + 19)
Let k(l) = 1004*l + 30123. Let s be k(-30). Factor 5/6*y**2 + 0 + y + 1/6*y**s.
y*(y + 2)*(y + 3)/6
Let q = -1190/57 - -13439/570. Let s(l) be the third derivative of 0*l**3 + 0*l - 12/5*l**5 - 24*l**2 - 2/3*l**4 - q*l**6 + 0. Factor s(a).
-4*a*(9*a + 2)**2
Let q = 52/239 - -86653/478. Let b be 189/98 + (-84)/196. Find s, given that q + b*s**2 - 33*s = 0.
11
Let n(y) be the third derivative of -y**6/24 + 2*y**5/3 + 3514*y**2. Factor n(h).
-5*h**2*(h - 8)
Let y be (240/64)/((-18)/(-24)). Let c(h) be the third derivative of 4*h**2 + 0 - 1/60*h**4 + 0*h - 1/1050*h**7 + 1/300*h**6 + 0*h**y + 1/30*h**3. Factor c(t).
-(t - 1)**3*(t + 1)/5
Let f(x) be the first derivative of 2/95*x**5 + 0*x + 160/57*x**3 - 128/19*x**2 - 8/19*x**4 - 100. Factor f(m).
2*m*(m - 8)*(m - 4)**2/19
Let z = -1342 + 1349. Let d(h) be the second derivative of 1/5*h**6 + 1/4*h**3 - 13*h + 1/2*h**2 + 0 - 7/12*h**4 + 1/10*h**5 - 1/12*h**z. Solve d(m) = 0.
-1, -2/7, 1
Let l(w) be the second derivative of w**6/120 + 3*w**5/40 + w**4/4 - w**3 + 5*w**2 + 46*w + 2. Let z(t) be the second derivative of l(t). Factor z(b).
3*(b + 1)*(b + 2)
Let v(p) be the third derivative of -p**8/2240 + p**7/28 - 5*p**4/12 - p**3/2 + 43*p**2. Let u(q) be the second derivative of v(q). Factor u(z).
-3*z**2*(z - 30)
Suppose 8855/2*n**2 + 0 - 164/3*n**3 + 1/6*n**4 + 9075*n = 0. What is n?
-2, 0, 165
Let -231/2*m**2 - 423/2*m + 330 - 9/2*m**3 + 3/2*m**4 = 0. Calculate m.
-5, -4, 1, 11
Let n(m) be the first derivative of 2*m**3/9 + 383*m**2/3 - 1540*m/3 + 1151. Factor n(i).
2*(i - 2)*(i + 385)/3
Let y(t) = 4*t + 22. Let s be y(-5). Factor h**3 - h**2 - 4*h + 10 - 7 + s + 11 - 3*h**2.
(h - 4)*(h - 2)*(h + 2)
Let m(k) be the second derivative of k + 121*k**2 + 22/3*k**3 + 1/6*k**4 + 2. Find d, given that m(d) = 0.
-11
Let x(i) be the second derivative of -9*i**5/160 - 163*i**4/96 - 51*i**3/8 - 2*i**2 - 5*i - 60. Find f, given that x(f) = 0.
-16, -2, -1/9
Let o(g) be the first derivative of 2*g**3/51 + 22*g**2/17 - 46*g/17 - 1040. Factor o(c).
2*(c - 1)*(c + 23)/17
Let n = -68 - -68. Let g(v) = v**2 + 3*v. Let h be g(n). Let -o**4 + 16*o - 3*o**4 - 4*o**3 + 16*o**2 + h*o**4 = 0. Calculate o.
-2, -1, 0, 2
Suppose 2*w = 2*r + 3027 + 571, -2*w = 4*r - 3604. Solve -535 + 3682*l**5 + 35 + 345*l**4 - 1845*l**2 - 3727*l**5 - w*l - 155*l**3 = 0.
-1, -2/3, 5
Let q be (2/6)/(2/18). Suppose -4*s = -q*s. Suppose -14*i**2 + i + 12*i**3 + s*i**2 - 4*i**4 + 2*i**2 + 3*i = 0. What is i?
0, 1
Find q such that -2079/2*q**2 - 480249*q - 3/4*q**3 - 73958346 = 0.
-462
Let x be (18/8)/((-7)/56*2). Let d be x/21 - 57/(-84). Factor 1/4*h**3 - d*h**2 - 5/4*h - 3/4.
(h - 3)*(h + 1)**2/4
Let w be (-2*5/(-300))/((220/25)/2). Let f(a) be the second derivative of -1/33*a**3 - w*a**4 - 2*a + 0 - 1/22*a**2. Determine p so that f(p) = 0.
-1
Let -660 + 280*h + 19459*h**3 + 5*h**4 + 145*h**2 + 19483*h**3 - 39012*h**3 = 0. Calculate h.
-2, 2, 3, 11
Suppose -36*a = 7 - 115. Let z(c) be the first derivative of -16 - 3/40*c**5 + 3/16*c**4 + 1/8*c**a - 3/8*c**2 + 0*c. Factor z(h).
-3*h*(h - 2)*(h - 1)*(h + 1)/8
Determine q so that -825*q + 42*q**3 - 45*q**3 - 27*q**2 + 771*q = 0.
-6, -3, 0
Let v(b) = -14*b**2 + 11*b + 2. Let h(f) = -17*f**2 + 13*f + 3. Let w(j) = 5*h(j) - 6*v(j). Let z be w(0). What is g in 2/3 + 1/6*g**z - 2/3*g - 1/6*g**2 = 0?
-2, 1, 2
Let o = -146 + 236. Factor -o*m - 18*m - 6 + 75*m**3 + 30 + 90*m**2.
3*(m + 2)*(5*m - 2)**2
Suppose 2*p = c + 6, 18 = 105*c - 108*c. Factor -4/13*g**5 + p*g**3 + 0 + 0*g - 2/13*g**4 + 0*g**2.
-2*g**4*(2*g + 1)/13
Let b(h) be the second derivative of 2 + 3/2*h**4 - 2/3*h**3 - 3*h + 0*h**2. Factor b(f).
2*f*(9*f - 2)
Let y(j) be the second derivative of 21*j + 1/42*j**7 + 1/2*j**3 - 1/5*j**5 - j**2 + 0*j**6 + 0 + 1/6*j**4. Factor y(v).
(v - 1)**3*(v + 1)*(v + 2)
Let i(m) be the first derivative of -1/150*m**5 + 2 + 0*m**2 + 0*m**3 + 1/45*m**4 - 12*m. Let o(y) be the first derivative of i(y). Factor o(u).
-2*u**2*(u - 2)/15
Suppose -102*y + 4*y = -2254. Let g = y - 21. Factor -6*o**g + 0*o + 0 - 2/3*o**3.
-2*o**2*(o + 9)/3
Let n(a) be the first derivative of 2*a**3/9 - 863*a**2/3 - 576*a + 9429. Solve n(z) = 0 for z.
-1, 864
Let q(k) be the second derivative of -k**5/10 - 25*k**4/6 - 208*k**3/3 - 576*k**2 + 19*k + 164. Let q(g) = 0. What is g?
-9, -8
Let r = -189 + -279. Let f be -4*(-1)/5 + r/(-315). Factor -f*o**3 + 2/7*o + 0 + 5/7*o**2 + 9/7*o**4.
o*(o - 1)**2*(9*o + 2)/7
Suppose 28*k = 97 + 99. Find h such that 15 - 7*h + 5*h**2 - 5 - h**3 - k = 0.
1, 3
Let z(p) be the first derivative of -p**6/60 + 3*p**5/40 + p**4/8 - 7*p**3/12 - 3*p**2/2 + 35*p + 47. Let l(y) be the first derivative of z(y). Factor l(r).
-(r - 3)*(r - 2)*(r + 1)**2/2
Let x(l) be the second derivative of -l**5/15 - 11*l**4/6 - 12*l**3 + 95*l**2 - 132*l. Let p(n) be the first derivativ