
Let t = -12 - -17. Let x be (-13)/((-442)/20)*238/56. Determine s, given that -t*s + 0 + x*s**2 = 0.
0, 2
Let a(r) = 6*r**5 - 5*r**4 - 58*r**3 - 38*r**2 + 485*r + 805. Let z(n) = -n**5 + n**4 + 3*n**3 - n - 1. Let y(j) = -a(j) - 5*z(j). Factor y(k).
-(k - 5)**2*(k + 2)*(k + 4)**2
Let b = 1 - -351. Let m = b + -352. Determine p so that p**2 - 1/2*p**3 - p**4 + 1/2*p + m = 0.
-1, -1/2, 0, 1
Let v = -11122 - -11122. Let b(i) be the first derivative of -26 + 0*i**3 + v*i + 0*i**2 + 5/3*i**4 + 5/18*i**6 + 5/3*i**5. Find m, given that b(m) = 0.
-4, -1, 0
Let k(r) be the first derivative of 2*r**3/3 - 22*r**2 + 224*r + 1128. Factor k(t).
2*(t - 14)*(t - 8)
Let j(p) = p**5 - 2*p**2 + p + 2. Let z(h) = 2*h**5 - 435*h**4 + 47523*h**3 - 47091*h**2 + h + 2. Let i(l) = -5*j(l) + 5*z(l). Factor i(s).
5*s**2*(s - 217)**2*(s - 1)
Suppose -306*s + 275*s + 152 = -344. Let a(v) be the first derivative of -s - v - 1/12*v**3 + 1/2*v**2. Factor a(h).
-(h - 2)**2/4
Factor -11/9*x**2 - 19/9*x - 1/9*x**3 - 1.
-(x + 1)**2*(x + 9)/9
Let n be ((-42)/(-18))/(2/30). Let j = n + -30. Factor 58 + 4*f**3 + 2*f**2 - j*f**3 - 58.
-f**2*(f - 2)
Suppose 19*q = 11*q. Suppose q = -m + 64 - 60. Determine p, given that 8*p - 2 + 5*p**2 + m*p**2 - p**2 + 2*p**2 = 0.
-1, 1/5
Let z(k) be the first derivative of -3*k**4/4 + 13*k**3 - 39*k**2 - 120*k - 2018. What is i in z(i) = 0?
-1, 4, 10
Let d be ((-12)/8)/((-6)/32*2). Solve 11*a**3 + 12*a + 19*a**2 + d*a**4 - 15*a**2 - 23*a**3 - 8 = 0 for a.
-1, 1, 2
Suppose 10/11*k**5 + 244/11*k + 306/11*k**3 + 38*k**2 + 48/11 + 94/11*k**4 = 0. What is k?
-4, -3, -1, -2/5
Let i = -3938 - -3943. Let p(n) be the third derivative of -2/21*n**4 + 0*n - 8/21*n**3 - 1/105*n**i + 0 - 15*n**2. Determine l, given that p(l) = 0.
-2
Factor -195*t - 1555/2*t**2 + 10*t**3 + 0.
5*t*(t - 78)*(4*t + 1)/2
Let q be (-58)/(-144) + (1456/234)/28. Let k(n) be the first derivative of -5*n**3 + q*n**4 - 27 + 0*n**2 + 80*n. Factor k(p).
5*(p - 4)**2*(p + 2)/2
Let h(l) be the second derivative of -l**6/70 + 153*l**5/140 - 139*l**4/14 + 180*l**3/7 + 83*l + 28. Solve h(q) = 0.
0, 2, 4, 45
Solve 71/5*n**4 - 221/5*n**3 - 148/5 + 1/5*n**5 + 77/5*n**2 + 44*n = 0 for n.
-74, -1, 1, 2
Let t = 2489 - 2484. Let l(f) be the first derivative of 0*f**2 + 0*f - 18/5*f**t - 4/3*f**6 + 0*f**3 + 13 - f**4. Factor l(w).
-2*w**3*(w + 2)*(4*w + 1)
Let o = -22 + 24. Suppose -23 + 15 = -o*z. Factor -24*t + 7*t + 13*t + 4*t**2 - 3*t**4 + 4*t**3 - t**z.
-4*t*(t - 1)**2*(t + 1)
Let m(j) = -j**3 + 20*j**2 - 3*j + 62. Let v be m(20). Solve 20*w + 12*w**2 - 84*w**4 - 4*w**5 - 5*w**3 + 26*w**v + 83*w**4 + 3 + 29*w**3 = 0 for w.
-1, -1/4, 3
Let x(l) be the first derivative of -2*l**3/21 + 37*l**2/7 - 96*l - 18. Factor x(o).
-2*(o - 21)*(o - 16)/7
Let y(d) = d**3 + 2*d**2 + 2616*d + 2. Let t be y(0). Factor 1088/3*u + 1/3*u**3 + 1024/3 + 65/3*u**t.
(u + 1)*(u + 32)**2/3
Let t be 10*(-123)/(-410) - ((-6)/2 + (-1 - -5)). Let o be 0 - ((-6)/4 - -1). Factor -1/2*d**t + o*d + 0.
-d*(d - 1)/2
Let k be 2/(-26) + 144080/130. Let f = k + -1107. Suppose -32/13 - 2/13*c**2 - f*c = 0. What is c?
-4
Let s be (-1 - 2)/(36/(-60)). Suppose -n = -s*n + 16. Factor -27*d**2 - 8*d**4 + 5 - n*d**4 + 71*d**2 + 4*d**5 + 11 - 4*d**3 - 48*d.
4*(d - 2)*(d - 1)**3*(d + 2)
Let n(b) = -26*b**2 - 24*b - 22. Let a(v) = -9*v**2 + v + 2. Let k(c) = 15*a(c) - 5*n(c). Factor k(q).
-5*(q - 28)*(q + 1)
Suppose -s = 5, 5*v = 3*s + 3 + 12. Let q be v + -2*3/(-3). Factor 30*u**3 - 47*u**q + 30*u**3 + 4*u**5 - 18*u**4 - 10*u**4 + 11*u**2.
4*u**2*(u - 3)**2*(u - 1)
Let n be (0 + 0 - 3)*(-5200)/195. Suppose 0 = -d - 9*d + n. Factor 2*w**2 - d - 10*w + 3*w**3 + 7*w + 6.
(w - 1)*(w + 1)*(3*w + 2)
Let q(c) be the second derivative of -5*c**6/3 + 111*c**5/2 - 449*c**4 - 2428*c**3/3 - 504*c**2 - 534*c. Find i, given that q(i) = 0.
-2/5, 9, 14
Let w(j) be the third derivative of j**5/4 - 13*j**4/4 + 12*j**3 + 12*j**2 + 68. Factor w(q).
3*(q - 4)*(5*q - 6)
Let b(j) be the second derivative of j**6/3 + 35*j**5/4 + 835*j**4/12 + 455*j**3/2 + 495*j**2/2 - 6160*j. Solve b(m) = 0 for m.
-11, -3, -1/2
Let o(m) be the third derivative of m**7/1155 - m**6/330 - 3*m**5/110 + m**4/66 + 8*m**3/33 - 1359*m**2. Find n such that o(n) = 0.
-2, -1, 1, 4
Let p(t) = 527*t - 30*t**2 - 525*t - 6*t**3 - 9*t**3. Let c(v) = -5*v**3 - 10*v**2 + v. Let a(g) = -17*c(g) + 6*p(g). Factor a(q).
-5*q*(q + 1)**2
Factor -65/4*j + 1/2 - 67/4*j**2.
-(j + 1)*(67*j - 2)/4
Let b be (-948)/(-8) + (5/(-2))/(630/1512). Suppose 0 + b*t - 735/4*t**2 - 3/4*t**4 + 23*t**3 = 0. Calculate t.
0, 2/3, 15
Let g(f) = -6*f - 178. Let t be g(-30). Factor -z**t - 17*z + 0 + 29*z + 13.
-(z - 13)*(z + 1)
Determine m, given that 200*m**2 + 0 - 483/4*m**3 + 27/2*m**4 - 93*m + 1/4*m**5 = 0.
-62, 0, 1, 6
Let k = 30255 + -3806. Solve i**2 - 26449 + k + 17*i = 0 for i.
-17, 0
Suppose 0*d = 7*d - 672. Factor d*w**2 - 6*w - 53*w**2 - 45*w**2.
-2*w*(w + 3)
Let r(z) be the second derivative of 1/12*z**4 - 66*z + 1/10*z**5 - 1 - 1/3*z**3 + 0*z**2 - 1/30*z**6. Factor r(v).
-v*(v - 2)*(v - 1)*(v + 1)
Suppose -4*j - 24 = -4*b, 2*j = -b + 5*j + 10. Factor -2*m**2 + 21*m + 8*m + b - 31*m.
-2*(m - 1)*(m + 2)
Suppose 0 + 1/4*u**2 - 477/4*u = 0. What is u?
0, 477
Let h(y) be the second derivative of y**4/42 + 326*y**3/21 + 26569*y**2/7 + 177*y - 1. Factor h(n).
2*(n + 163)**2/7
Factor 0 + 2/5*f**4 + 774/5*f**3 + 772/5*f**2 + 0*f.
2*f**2*(f + 1)*(f + 386)/5
Let l be (657/18)/(-73) - (-74)/144. Let i(n) be the second derivative of 0 + l*n**4 + 1/12*n**3 + 1/6*n**2 + 14*n. Factor i(c).
(c + 1)*(c + 2)/6
Factor 637*a**4 - 99*a + 75*a + 40*a**3 - 226*a - 25*a**2 - 642*a**4.
-5*a*(a - 5)**2*(a + 2)
Let c be 6 + 3*12/(-9). Let a = 14568/19513 - 10/1027. What is g in -8/19*g**c + 4/19 + a*g = 0?
-1/4, 2
Let o = -1390565 - -6952829/5. Factor 504/5*z + 0 + 60*z**2 - o*z**4 + 32/5*z**3.
-4*z*(z - 14)*(z + 3)**2/5
Suppose 13 = 2*j + 3*h, 202*j - 197*j + 3*h = 19. Factor -2/3*i**j - 1352/3 - 104/3*i.
-2*(i + 26)**2/3
Let z be (2055/300 - 7)/(1/(-15)). Let y = z - 7/4. Solve -7/2*j - y*j**2 - 3 = 0.
-6, -1
Let r(h) be the second derivative of -h**4/48 - 17*h**3/8 + 35*h**2 + 652*h - 7. Factor r(x).
-(x - 5)*(x + 56)/4
Suppose 3/8*x**3 + 93/4*x**2 + 468*x + 3024 = 0. What is x?
-24, -14
Let i be (-4)/24*5 + -6*(-34)/153. Determine v, given that 2*v**3 - 2*v + 3/2 - i*v**4 - v**2 = 0.
-1, 1, 3
Determine t so that 12652*t**2 - 3*t**5 + 3462 - 19009 + 5093 + 5*t**5 + 150*t**4 + 6090*t + 3156*t**3 - 11596 = 0.
-35, -3, 1
Let a(s) be the first derivative of 20*s**2 - 10*s**4 + s**5 - 51 - 50/3*s**3 + 45*s. Let a(o) = 0. What is o?
-1, 1, 9
Let l be (-36)/(-10)*(520/(-39) + 14). Let p(h) = 2*h**2 + 12*h + 13. Let f be p(-1). Factor 22/5*i + l - 2/5*i**f + 8/5*i**2.
-2*(i - 6)*(i + 1)**2/5
Factor -38/3*s**2 - 224/3*s + 8.
-2*(s + 6)*(19*s - 2)/3
Let x(q) be the first derivative of 2*q**5/45 + 5*q**4/18 + 4*q**3/27 - 8*q**2/9 - 1538. Solve x(t) = 0 for t.
-4, -2, 0, 1
Let f = 405/19 - 715/38. Let x(d) be the first derivative of f*d**2 - 5/3*d**3 + 10*d + 15. Factor x(g).
-5*(g - 2)*(g + 1)
Suppose 5*q - 151 = 124. Let h = q + -53. Suppose h*s**3 - s - 3 - 3*s**3 + 2*s**3 + 3*s**2 = 0. What is s?
-3, -1, 1
Factor 10772/5*f - 4/5*f**2 - 10768/5.
-4*(f - 2692)*(f - 1)/5
Let h be (169 - -581)/50 - ((-2004)/(-15))/(-4). Find a such that 2/5*a**2 - 44/5*a + h = 0.
11
Let i = -30740 - -30743. Let a(o) be the third derivative of 0 + 0*o**i + 1/4*o**4 + 0*o - 9/20*o**5 + 6*o**2. Determine q, given that a(q) = 0.
0, 2/9
Let t(h) = -h**2 - 3*h - 6. Let x(p) = -8*p**2 + 6121*p - 1878863. Let l(n) = 3*t(n) - x(n). Suppose l(f) = 0. What is f?
613
Let g(n) be the first derivative of -n**6/120 - n**5/10 - 3*n**4/8 - 100*n**3/3 - 16. Let b(x) be the third derivative of g(x). Factor b(q).
-3*(q + 1)*(q + 3)
Let a be (9 - (1 + 7)) + 11. Let j(n) be the second derivative of 0 - 55/12*n**4 - 50/3*n**3 + 10*n**2 + a*n. Let j(d) = 0. Calculate d.
-2, 2/11
Let h(b) be the second derivative of 72 + 1/25*b**5 - 49/30*b**4 + 76/15*b**3 - b + 1/25*b**6 - 4*b**2. Let h(u) = 0. What is u?
-5, 1/3, 2
Let f = 59 + -56. Let k be (-6 - -18)/(f/4). Factor h**2 + 15 - 6*h - k + 10.
(h - 3)**2
Let s(g) be the first derivative of -83 + 50*g**3 + 40*g - 90*g**2 - 35/4*g**4. Factor