o) be the first derivative of s(o). Solve r(v) = 0.
-6, 2/5, 2
Suppose -312*h + 308*h = -20. Let w = h + -2. Find v such that -9/8*v**2 - 3/8 + 3/8*v**w + 9/8*v = 0.
1
Let w be -4 + 9 + 7 + (-32)/4. Let h(o) be the first derivative of 0*o**3 - 1/5*o**5 + 16*o - 16 - 8*o**2 + o**w. Suppose h(n) = 0. Calculate n.
-2, 2
Suppose 5*b - 107 = 143. Let u**4 - 6*u**4 - 60*u**2 + 30*u**3 + b*u - 4722 + 4707 = 0. Calculate u.
1, 3
Suppose 43*b + 105*b = 296. What is v in -6/11*v + 0*v**b + 4/11 + 2/11*v**3 = 0?
-2, 1
Suppose -2*n + 16*n - 1610 = 0. Let g = n - 113. Solve -6*k**2 - 65*k - 5*k**g + 75 - 25 - 4*k**2 = 0.
-5, 2/3
Let j(a) = a**3 + 17*a**2 + 4*a - 18. Let l be j(-16). Let h = 174 - l. Factor 0*n + h + 2/5*n**2 - 2/5*n**3.
-2*n**2*(n - 1)/5
Solve 11820*u - 19 - 557 + 20*u**2 - 5870*u - 5862*u = 0 for u.
-8, 18/5
Suppose 434*h + 823*h - 4352 = 713*h. Suppose 44/3*u + 4/3*u**3 - 8*u**2 - h = 0. Calculate u.
1, 2, 3
Suppose 0 = 4*o - 1457 + 401. Determine g so that 398 + 2*g**2 - 230 - 4*g**2 + 36*g - o - g**2 = 0.
4, 8
Determine d, given that -5*d**2 - 977*d - 613 - 1097 + 872*d - 760*d = 0.
-171, -2
Let b be 20 + -32 - -4 - (444/(-42) - 6). Solve 0 + b*q**4 - 6/7*q**5 - 216/7*q**3 + 324/7*q**2 - 162/7*q = 0.
0, 1, 3
Suppose 2*o + 2*o = 28. Let c(v) = v + o - v**2 - 11 + 0. Let l(y) = -2*y**2 + 2*y - 7. Let a(z) = 7*c(z) - 4*l(z). Suppose a(t) = 0. Calculate t.
0, 1
Factor 4/3*y**2 - 416*y + 1244/3.
4*(y - 311)*(y - 1)/3
Determine o so that -273/4*o**2 - 141 + 3/4*o**3 - 210*o = 0.
-2, -1, 94
Let x(y) be the second derivative of y**6/165 + 5*y**5/22 - 61*y**4/3 + 11900*y**3/33 - 10584*y**2/11 - 186*y - 9. What is r in x(r) = 0?
-54, 1, 14
Let g = -26 + 30. Suppose -1 = g*b - 9. Solve 20 + 4*k + 0*k**2 + 8*k - 3*k**b - 29 = 0 for k.
1, 3
Suppose -j = 3*y + 120 + 80, -5*y = 5*j + 340. Let b be y/(-14) - (-2)/7. Suppose b*p**2 - 3*p**2 + 5*p - p = 0. Calculate p.
-2, 0
Let q(r) be the first derivative of -2*r**4/3 - 22*r**3 + 34*r**2 - 85*r - 37. Let y(s) be the first derivative of q(s). Determine l so that y(l) = 0.
-17, 1/2
Let j(b) = -8*b**5 - 37*b**4 - 372*b**3 - 259*b**2 + 641*b + 7. Let h(x) = -x**5 - 2*x**3 - x**2 - x + 1. Let z(d) = 21*h(d) - 3*j(d). Solve z(f) = 0.
-18, -2, 0, 1
Let w(p) = 13*p + 46. Let d be w(13). Determine u, given that -16*u + 205*u**4 - 28*u**5 + d*u**4 + 44*u**3 - 48*u**2 - 372*u**4 = 0.
-1, -2/7, 0, 1, 2
Factor 377/6*k**2 + 11781/2*k - 11907/2 + 1/6*k**3.
(k - 1)*(k + 189)**2/6
Let l(s) be the second derivative of -1/160*s**5 + 13*s + 1/96*s**4 + 1/12*s**3 + 1 - 1/4*s**2. Let l(x) = 0. Calculate x.
-2, 1, 2
Let d be -5*(-1 - (-36)/30). Let p be ((-156)/65)/d - 0. Factor -p - 2/5*n**2 - 2*n.
-2*(n + 2)*(n + 3)/5
Let n(d) be the second derivative of d**5/50 + 3*d**4/5 + 8*d**3/5 - 128*d**2/5 - 9196*d. Factor n(v).
2*(v - 2)*(v + 4)*(v + 16)/5
Factor 2566/3*z - 2/3*z**2 - 2564/3.
-2*(z - 1282)*(z - 1)/3
Find f such that 20 + 15*f - 5/4*f**3 + 0*f**2 = 0.
-2, 4
Let f(i) = -37*i - 442. Let n be f(-12). Let g(h) be the first derivative of -1/3*h**n + 7 + 2/9*h**3 + 0*h. Suppose g(k) = 0. What is k?
0, 1
Let j(n) be the second derivative of -n**4/72 + 23*n**3/36 - 10*n**2 + n - 1595. Find y such that j(y) = 0.
8, 15
Let p(k) be the first derivative of k**6/1260 - k**5/315 - k**4/252 + 2*k**3/63 - 3*k**2/2 - 4*k - 84. Let h(g) be the second derivative of p(g). Factor h(x).
2*(x - 2)*(x - 1)*(x + 1)/21
Suppose -3*s + 0*s = -288. Let a = s + -93. Suppose -n**4 - 5*n - 8*n**2 - n**a - n**5 + 3 + 8*n**3 - n**3 + 6*n**2 = 0. What is n?
-3, -1, 1
What is k in 638*k - 230*k**3 - 13*k**4 - 800*k**2 + 94*k - 92*k - 2*k**4 = 0?
-8, 0, 2/3
Suppose -5*u - 53 = -4*h, -5*h + 2*u - 1031 + 1059 = 0. Factor 5/4*t**5 + 575/4*t**3 + 80 + 260*t + 95/4*t**4 + 1205/4*t**h.
5*(t + 1)**3*(t + 8)**2/4
Let t(p) be the second derivative of 7*p**6/135 - 2*p**5/15 - 25*p**4/54 - 2*p**3/9 - 57*p + 7. Find m such that t(m) = 0.
-1, -2/7, 0, 3
Let m(x) be the second derivative of -x**7/147 - x**6/35 - x**5/70 + x**4/14 + 2*x**3/21 - x - 1837. Find t such that m(t) = 0.
-2, -1, 0, 1
Let j be 36/(-54) - (1960/240)/(10/(-4)). What is p in 7/5 - 1/5*p**3 + p**2 + j*p = 0?
-1, 7
Suppose 33*u + 56*u - 23*u = 264. Let r(n) be the second derivative of 42*n + 0 - 2/21*n**3 + 1/42*n**u - 3/7*n**2. Factor r(t).
2*(t - 3)*(t + 1)/7
Suppose -281/9*c**2 + 1/9*c**3 - 283/9 - 565/9*c = 0. Calculate c.
-1, 283
Let j(d) be the second derivative of d**6/30 + 5*d**5/4 - 49*d**4/4 + 33*d**3/2 + 135*d**2 - d - 16. Find w such that j(w) = 0.
-30, -1, 3
Let 88/15*z - 968/15 + 322/5*z**2 - 88/15*z**3 + 2/15*z**4 = 0. What is z?
-1, 1, 22
Let w = 26269 - 78791/3. What is t in -w + 15/2*t**3 + 64/3*t - 23*t**2 = 0?
2/5, 4/3
Let h(x) be the first derivative of x**3/3 + 49*x**2/2 + 390*x - 6052. What is o in h(o) = 0?
-39, -10
Let z = -41585 + 207933/5. Factor 0 - 1/5*c**2 - z*c.
-c*(c + 8)/5
Let v be 2/(2*33*16/3024 - 4/(-42)). Factor 0 + 0*f + 0*f**2 + 3/4*f**5 + 27/4*f**3 - v*f**4.
3*f**3*(f - 3)**2/4
Let q(z) = -2*z + 2. Let m be q(1). Let v(i) be the first derivative of 0*i**2 - 2/25*i**5 + 1/5*i**4 + m*i - 2/15*i**3 - 8. Suppose v(o) = 0. What is o?
0, 1
Suppose -4*j + 9*j - 2*i = 96, 0 = -i - 3. Let h be 14/j*112/196. Suppose -4/9 - 10/9*w - h*w**2 = 0. Calculate w.
-2, -1/2
Let a(x) = -5*x + 76. Let y be a(12). Suppose -2*j**3 + 14*j**3 + y*j - 24*j + 20*j**2 = 0. What is j?
-2, 0, 1/3
Let i(v) be the second derivative of -v**4/6 - 268*v**3 - 161604*v**2 + 3221*v. Solve i(w) = 0.
-402
Let c(q) be the second derivative of -q**4/12 + 151*q**3/3 - 300*q**2 + 5074*q. Suppose c(k) = 0. Calculate k.
2, 300
Suppose -2*s - 14 = -6*s - 2*u, 0 = -4*s - 3*u + 19. Let m = 15 + s. What is w in m*w**5 + 4*w**2 + 27*w**4 - 31*w**4 - 18*w**3 + 2*w**3 = 0?
-1, 0, 1/4, 1
Let k(m) be the third derivative of m**5/510 + 5*m**4/204 - 14*m**3/51 + 2*m**2 - 1146. Factor k(r).
2*(r - 2)*(r + 7)/17
Let o(w) be the first derivative of 0*w**2 + 7/108*w**4 + 16*w - 11 - 1/60*w**5 - 1/27*w**3. Let z(m) be the first derivative of o(m). Factor z(i).
-i*(i - 2)*(3*i - 1)/9
Let s = -96 + 99. Let q(k) = k**3 - 14*k**2 + 12*k + 17. Let n be q(13). Factor -2706*w**n - 3*w**2 + 9*w - 15*w**s + 2700*w**4 - 3*w.
-3*w*(w + 1)*(w + 2)*(2*w - 1)
Suppose 0 = y + 64 + 24. Let h = y - -92. Suppose -3 - 2*s - s - 4*s + 7*s**3 + 2*s**4 + h*s**2 - 3*s**2 = 0. What is s?
-3, -1, -1/2, 1
Let -742000*q - 870263 + 330*q**4 - 1629*q**3 + 5*q**5 + 190263 - 110*q**4 + 2744*q**3 - 61100*q**2 = 0. Calculate q.
-20, -1, 17
Suppose 360 = -5*q + 340. Let g be 476/408 - q/(-6). Factor 0 - n - 1/2*n**2 + g*n**3.
n*(n - 2)*(n + 1)/2
Let v(u) be the first derivative of -4/15*u**3 + 0*u**2 + 1/10*u**4 + 22 + 0*u. Factor v(w).
2*w**2*(w - 2)/5
Determine m so that -19076/13*m**3 - 3188/13*m**2 + 6358/13*m - 18/13*m**5 + 14334/13*m**4 + 1590/13 = 0.
-1/3, 1, 795
What is d in -6 - 279*d + 6 - 1230*d + 5*d**2 - 121*d = 0?
0, 326
Let b(v) be the second derivative of -5*v**7/6 - 12*v**6 + v**5/4 + 575*v**4/6 + 170*v**3 + 100*v**2 + 4100*v. Determine q so that b(q) = 0.
-10, -1, -2/7, 2
Let n(o) = 3*o**2 + o. Let u(s) = -107*s**2 + 223*s**2 - 609 - 120 - 52*s - 111*s**2. Let t(x) = 4*n(x) - 2*u(x). Solve t(i) = 0 for i.
-27
Let j(v) = v**2 + 5236*v - 26197. Let l be j(5). Factor 0 + 4/7*z**4 + 32/7*z**3 - l*z + 20/7*z**2.
4*z*(z - 1)*(z + 2)*(z + 7)/7
Suppose -118*v + 120*v - 48 = 0. Let j be ((-60)/70)/(v/(-21)). Factor 15/4*z + j*z**3 + 3/2 + 3*z**2.
3*(z + 1)**2*(z + 2)/4
Solve 6 + 69*g**3 + 64*g + 17/2*g**4 + 237/2*g**2 = 0 for g.
-6, -1, -2/17
Find j such that -656*j**4 + 32 - 200*j - 652*j**4 + 1297*j**4 + 132*j**2 + 2*j**3 = 0.
-4, 2/11, 2
Let g(x) be the first derivative of -x**2 - 62 - 19/3*x**3 + 0*x. Suppose g(k) = 0. What is k?
-2/19, 0
Let b(o) be the second derivative of o**6/45 - 17*o**5/9 + 56*o**4/27 + 167*o. Factor b(x).
2*x**2*(x - 56)*(3*x - 2)/9
Let h(q) = 18*q**3 + 730*q**2 - 510*q - 322. Let g(v) = -11*v**3 - 438*v**2 + 306*v + 192. Let c(w) = 12*g(w) + 7*h(w). Factor c(s).
-2*(s - 1)*(s + 25)*(3*s + 1)
Let u(r) be the third derivative of -r**8/840 + 3*r**7/175 + 29*r**6/300 - 27*r**5/50 + 11*r**4/15 - 1623*r**2 + r + 2. Determine w so that u(w) = 0.
-4, 0, 1, 11
Suppose 287 = 4*o - 5*u, 2*o + u = 3*u + 142. Suppose -o*