(i) = x*b(i) - p(i). Factor o(a).
3*(a - 1)**3*(a + 9)
Let f(s) = s**4 + 6*s**3 - 69*s**2 - 54*s. Let c(y) = -y**4 - 16*y**3 + 139*y**2 + 109*y. Let o(u) = 4*c(u) + 9*f(u). Factor o(n).
5*n*(n - 5)*(n + 1)*(n + 2)
Suppose 4*r - 20 = -d, -d + 5*r = -2*d + 25. Suppose 6 = i - d*i. Solve -5*y**3 + 5*y + i + 6 + 15*y**2 - 27 = 0.
-1, 1, 3
Let j(y) be the first derivative of 1/8*y**4 - 27/2*y - 9/4*y**2 + 4/3*y**6 + 25/2*y**3 - 28/5*y**5 + 153. Find o such that j(o) = 0.
-3/4, 1, 3
Suppose 4 + 7 - 12 = 319*c - 1. Solve -3/4*m**3 - 3/4*m**4 + c + 3/4*m + 3/4*m**2 = 0.
-1, 0, 1
Let j(h) be the second derivative of -h**4/8 + 436*h**3 + 5235*h**2/4 - 267*h + 6. Factor j(w).
-3*(w - 1745)*(w + 1)/2
Suppose -775*u - 39*u**2 - 67*u**2 + 34*u**2 - 33*u**2 + 210 - 10*u**2 = 0. What is u?
-7, 6/23
Suppose -4 = p - 34. Let f be (36/p)/(6/15). Solve r - 4*r - f*r**2 + 5 + 1 = 0 for r.
-2, 1
Suppose -3*h = -4*t - 1, h - 3 = -0*t + 2*t. Let v be ((h - -5) + -2)*(-27 + -1). Find o, given that -63 - 4*o**3 + 41 - 174 - v*o - 84*o + 52*o**2 = 0.
-1, 7
Let h = -1/1349 + 6756/14839. Let v(c) be the second derivative of h*c**3 + 0 - c + 25/11*c**2 + 1/110*c**5 - 3/22*c**4. What is l in v(l) = 0?
-1, 5
Let x(j) = -7*j**3 - 293*j**2 - 23641*j - 189033. Let w(d) = -15*d**3 - 585*d**2 - 47283*d - 378034. Let b(u) = -6*w(u) + 13*x(u). Factor b(v).
-(v + 9)*(v + 145)**2
Let l(u) be the first derivative of u**4/4 + 110*u**3/3 + 1456*u**2 - 6272*u + 1255. Solve l(g) = 0.
-56, 2
Let m = 52/165 - 2/15. Let c be -2*10/50*((-3 - 1) + -6). Factor -2/11*p - 8/11*p**2 - m*p**5 + 0 - 8/11*p**c - 12/11*p**3.
-2*p*(p + 1)**4/11
Let h(i) be the first derivative of 13*i**3/3 - 99*i**2/14 + 8*i/7 - 158. Suppose h(v) = 0. What is v?
8/91, 1
Let n(x) be the first derivative of 2*x**5/15 - x**4/2 - 4*x**3/3 + 8*x**2/3 + 5704. Determine k, given that n(k) = 0.
-2, 0, 1, 4
Let q(c) = -c**3 - 16*c**2 - 27*c + 46. Let y be q(-14). Suppose 0 = y*z - 27*z - 15. Factor 0*v - z*v**3 - 3*v**4 + 0*v**2 + 0 + 9/4*v**5.
3*v**3*(v - 2)*(3*v + 2)/4
Let d(m) = -4*m**3 + 71*m**2 - 164*m - 229. Let z(t) = -2*t**3 + 34*t**2 - 82*t - 114. Let s(k) = 2*d(k) - 5*z(k). Let s(h) = 0. What is h?
-1, 7, 8
Let w(g) be the first derivative of -g**6/720 - g**5/20 + 2*g**3/3 - 111*g + 17. Let q(s) be the third derivative of w(s). Let q(p) = 0. Calculate p.
-12, 0
Suppose 1620*a = -893*a. Factor 0*y + a + 2/7*y**3 + 10/7*y**2.
2*y**2*(y + 5)/7
Let z(t) = t**3 + 6*t**2 + 9*t + 5. Suppose 2*x - 5*c = -2*x + 3, x = 2*c + 3. Let h be z(x). Suppose -6 + 13*q - h*q - q**2 - q**2 = 0. What is q?
1, 3
Let l(o) be the first derivative of -o**6/120 + 12*o**5/5 - 288*o**4 + 103*o**3/3 - 60. Let i(c) be the third derivative of l(c). Solve i(y) = 0.
48
Determine r so that 8708/3*r + 2/3*r**2 + 9478658/3 = 0.
-2177
Let u(o) be the third derivative of o**6/100 - 73*o**5/50 + 53*o**4/5 - 28*o**3 + 14*o**2 - 8. Factor u(v).
6*(v - 70)*(v - 2)*(v - 1)/5
Let s = 261 + -257. Find z such that -2*z**3 + 6*z**2 + 138*z**4 + s*z + 133*z**4 - 277*z**4 - 3*z**5 + z**5 = 0.
-2, -1, 0, 1
Suppose 0 = -3*a - 2*x - 4, 4*a - 184 = -4*x - 196. Determine s so that 18 + 74/9*s**a + 40*s + 4/9*s**3 = 0.
-9, -1/2
Let c(v) be the first derivative of -3*v**2 + 1/8*v**4 + 11/6*v**3 - 51 + 0*v. Suppose c(a) = 0. What is a?
-12, 0, 1
Let u = 353 - 337. Determine o so that 50 + 2*o**2 + 6*o**2 + 29*o + 4*o**2 + u*o + o**3 = 0.
-5, -2
Let g be (-6)/((-600)/6905)*(-4)/(-1). Let h = g + -275. Factor h*b**2 + 14/5*b + 4/5.
2*(b + 2)*(3*b + 1)/5
Suppose 2*x = 10, -29 = -4*z - 4*x + 3*x. Let a be -8*(-6)/2160*z. What is f in a*f**2 + 2/15*f**3 + 0 - 2/15*f**4 - 2/15*f = 0?
-1, 0, 1
Let r(a) be the second derivative of -a**4/66 - 656*a**3/33 - 107584*a**2/11 - 606*a. Find p, given that r(p) = 0.
-328
Let t(d) be the third derivative of d**7/945 - d**6/270 - d**5/90 + 836*d**2. Factor t(b).
2*b**2*(b - 3)*(b + 1)/9
Factor 2/19*q**3 - 64/19 - 20/19*q**2 + 64/19*q.
2*(q - 4)**2*(q - 2)/19
Let b = 278692 - 557363/2. Find l such that 3/2*l**3 - b*l - 6*l**2 + 15 = 0.
-2, 1, 5
Let q = -672374 + 672374. Factor 7*z + q - 19/2*z**2 + 2*z**3 + 1/2*z**4.
z*(z - 2)*(z - 1)*(z + 7)/2
Let k(b) be the first derivative of -3/10*b**2 + 1/100*b**5 - 1/60*b**4 + 20 - 1/6*b**3 + 14*b. Let o(l) be the first derivative of k(l). Solve o(s) = 0.
-1, 3
Let u be 245/1275 + 85/(-1445). Let 8/15*i + 0 + 0*i**2 - u*i**3 = 0. What is i?
-2, 0, 2
Let r(m) = -m**2 + 10*m + 11. Let s be r(8). Let y be 166/18 - 8/36. Suppose 29 + y*t**2 - t + 10*t - s = 0. What is t?
-2/3, -1/3
Let s = 2 - -1. Suppose 0 = -u + 2 + 1, 0 = 3*x - s*u. What is n in -3*n**3 - 7*n**3 + 18*n**2 + 6*n**2 + 6*n**x = 0?
0, 6
Determine m, given that -34/9*m + 2/9*m**4 + 34/9*m**2 - 14/9*m**3 + 4/3 = 0.
1, 2, 3
Determine i, given that -5552/7 - 18/7*i**2 - 24988/7*i = 0.
-1388, -2/9
Let x(b) = -b**2 - b. Let f(r) = 7*r**4 - 12*r**3 - 3*r**2 + r. Let d be 110/22 + -3 + 0. Let a(z) = d*x(z) + 2*f(z). Factor a(u).
2*u**2*(u - 2)*(7*u + 2)
Let h(z) = z**3 - 12*z**2 - 27*z - 12. Let b be h(14). Suppose -14*k**b - 9*k**2 + 5*k**2 + 152*k + 14*k**2 - 1444 = 0. Calculate k.
19
Suppose 13*l + 3 = 29. Suppose -5*t + 2*t = -5*x + 15, 5 = 3*x - t. Factor -4*z**3 + x*z**2 + 16*z + 3*z**2 - 16 + z**l.
-4*(z - 2)*(z - 1)*(z + 2)
Suppose 646 = -4*i + 2*d, 4*d = i + 6*d + 149. Let c = i - -161. Solve 2/5*p**c - 2*p**4 + 14/5*p**3 + 2/5*p**5 + 8/5 - 16/5*p = 0.
-1, 1, 2
Suppose -2/25*x**3 + 404/25*x + 144/5 + 18/25*x**2 = 0. Calculate x.
-9, -2, 20
Factor -2*n**3 + 7670 + 7735 - 149*n + 37*n**2 - 23237 + 7748.
-(n - 12)*(n - 7)*(2*n + 1)
Suppose 128*i + 265 - 28 = 207*i. Factor -2/11*y + 2/11*y**i + 10/11*y**2 - 10/11.
2*(y - 1)*(y + 1)*(y + 5)/11
Find f such that 24*f**2 + 43*f**2 + 35*f**2 - 133*f**2 - 7362*f + 34*f**2 = 0.
0, 2454
Let c(k) be the second derivative of k**5/10 + 152*k**4/3 + 82*k. Factor c(t).
2*t**2*(t + 304)
Let j(h) = 450*h + 1800. Let t be j(-4). Let d(b) be the first derivative of t*b - 2*b**5 + 0*b**2 - 8/3*b**3 + 6*b**4 + 19. Factor d(l).
-2*l**2*(l - 2)*(5*l - 2)
Suppose 5 = -0*z - z + 3*q, -q = 0. Let p(x) = -5*x - 25. Let d be p(z). What is b in -16 + d*b**2 - 21 + 31 - 4*b + 2*b**2 = 0?
-1, 3
Let z(s) be the second derivative of s**6/10 - 3*s**5/4 - s**4/2 + 12*s**3 - 143*s. Suppose z(i) = 0. Calculate i.
-2, 0, 3, 4
Suppose 0 = -l + 13*l + 72. Let j be 4 + l - (-1 + -1). Factor -5*s**5 + 5*s - 5*s**2 + j*s**5 - 15*s**4 - 15*s**3 - 5*s.
-5*s**2*(s + 1)**3
Let h(n) be the third derivative of 0*n - 3/20*n**5 + 5/3*n**3 + 0 + 43/24*n**4 - 14*n**2. Find w such that h(w) = 0.
-2/9, 5
Let j(l) = -156*l - 66. Let c be j(-21). Let z = c - 15918/5. Let 45*i + 21/5*i**3 + z*i**2 + 54/5 = 0. What is i?
-3, -2/7
Let i be (-6 - (-1)/(2/14)) + (8 - 7). Factor 1 + 23/12*q**i + 1/12*q**4 - 2/3*q**3 - 7/3*q.
(q - 3)*(q - 2)**2*(q - 1)/12
Let s(g) be the second derivative of g**6/15 + 7*g**5/5 + 2*g**4/3 - 138*g**3 - 405*g**2 + 5349*g. Factor s(x).
2*(x - 5)*(x + 1)*(x + 9)**2
Let t(q) be the third derivative of q**5/45 - 131*q**4/18 + 260*q**3/9 - 2*q**2 + 366*q. Solve t(b) = 0.
1, 130
Solve -14 + 20/3*o + 1/6*o**2 = 0.
-42, 2
Let q(f) be the third derivative of f**8/840 + f**7/70 - 14*f**3 + 182*f**2. Let x(g) be the first derivative of q(g). Find n, given that x(n) = 0.
-6, 0
Factor 1205*v**2 + 65*v - 9 - 1210*v**2 - 67*v + 9 + 7*v**3.
v*(v - 1)*(7*v + 2)
Let k = -1489/13 - -4649/39. Suppose 16*w + 3/2*w**4 + 119/6*w**2 + 61/6*w**3 - 1/6*w**5 + k = 0. Calculate w.
-2, -1, 14
Let q(v) be the third derivative of -2862*v**7/35 - 741*v**6/10 + 1786*v**5/15 - 46*v**4 + 16*v**3/3 - 6*v**2 + 46*v. Suppose q(f) = 0. Calculate f.
-1, 2/53, 2/9
Let x(b) be the second derivative of b + 28 + 0*b**4 + 0*b**2 - 1/20*b**5 + 1/6*b**3. Determine z so that x(z) = 0.
-1, 0, 1
Factor 25 - 19/4*g**2 + 1/4*g**3 + 20*g.
(g - 10)**2*(g + 1)/4
Let w(m) be the first derivative of -3*m**4/16 - 125*m**3/6 + 21*m**2 + 6423. Factor w(f).
-f*(f + 84)*(3*f - 2)/4
Let x(l) = -6*l**2 - 76*l + 28. Let u be -4 - (34/102 - (-52)/6). Let d be x(u). Determine q so that 4/7 + 10/7*q + 2/7*q**3 + 8/7*q**d = 0.
-2, -1
Let p(u) be the first derivative of u**5/300 - u**4/15 + 7*u**3/30 - u**2 + 2*u + 56. Let a(n) be the second derivative of p(n). Find t, given that a(t) = 0