 0
Suppose 159 = 19*v + 102. Let s(k) be the second derivative of 0 + 0*k**2 + 0*k**v + 1/32*k**4 + 8*k - 3/160*k**5. Factor s(f).
-3*f**2*(f - 1)/8
Let o = -1/97231 - -194465/291693. Factor -8/3*t + o + 8/3*t**3 - 2/3*t**2.
2*(t - 1)*(t + 1)*(4*t - 1)/3
Let g(l) be the third derivative of -l**7/630 - 223*l**6/180 - 4144*l**5/15 + 223*l**4/36 + 49729*l**3/18 - 377*l**2 + 2*l. Solve g(w) = 0 for w.
-223, -1, 1
Let j(k) be the first derivative of k**6/40 - k**5/10 - k**4/8 + k**3 - 22*k**2 + 79. Let m(h) be the second derivative of j(h). Suppose m(b) = 0. Calculate b.
-1, 1, 2
Suppose 60 + 3*g**4 + 51*g**2 - 24*g + 1975*g**3 - 2005*g**3 - 60 = 0. What is g?
0, 1, 8
Let o(q) = -11*q + 57. Let i be o(5). Let u(v) = 6*v**2 - 2*v - 2. Let p(c) = -2*c**3 + 31*c**2 - 9*c - 9. Let n(j) = i*p(j) - 11*u(j). Solve n(w) = 0.
-1, 1
Let w be (-33)/(-9) - (319/33 - 12). Suppose 7*l - 2 = w*l. Solve -8/7*n**l - 2/7*n + 0 = 0 for n.
-1/4, 0
Factor -20*l**3 + 595*l + 93*l**2 - 410*l**2 - 138*l**2 - 120.
-5*(l - 1)*(l + 24)*(4*l - 1)
What is k in -2/23*k**3 + 1536/23 - 608/23*k + 64/23*k**2 = 0?
4, 12, 16
Suppose z - 14 = -2. Suppose -3*k + 6*k - z = 0. Solve 14*j**2 + 4*j**3 - 5*j**2 - 10*j**3 - 2*j**k - j**4 = 0 for j.
-3, 0, 1
Let t(y) be the third derivative of -y**7/70 + 13*y**6/40 - 51*y**5/20 + 63*y**4/8 + 254*y**2 - 2*y. Suppose t(v) = 0. What is v?
0, 3, 7
Let l = 44 - 27. Suppose 12 = 3*s - 3*t, l = 3*s - 3*t + 5*t. Factor s + 10*k + 1 + 7 + 2 - 5*k**2.
-5*(k - 3)*(k + 1)
Let v(u) = -908*u + 30878. Let s be v(34). Solve 3/2*p**3 + s*p**2 + 0 + 0*p = 0.
-4, 0
Suppose 503 - 974 - 2*p**2 - 3872*p + 471 = 0. What is p?
-1936, 0
Let 0*p + 3/2*p**4 - 15*p**2 + 0*p**3 + 27/2 = 0. What is p?
-3, -1, 1, 3
Let t = -1224 + 1226. Let a(u) be the first derivative of 17 - 5/4*u**t + 5/12*u**3 + 5/4*u. Factor a(g).
5*(g - 1)**2/4
Let j(o) be the second derivative of o**5/20 - 11*o**4/4 - o**3/6 + 33*o**2/2 + 56*o + 1. Factor j(s).
(s - 33)*(s - 1)*(s + 1)
Suppose 9*v = v + 344. Let z = 45 - v. Solve -9*j**2 + 15*j**2 - 21 - 18*j - 3*j**z = 0 for j.
-1, 7
Factor 56*p + 209*p**2 + 3*p**3 - 712*p + 416 - 68*p**3 + 4*p**4 + 151*p**2 - 11*p**3.
4*(p - 13)*(p - 2)**3
Let h(v) be the first derivative of -15/2*v**2 - 5/3*v**3 - 1 + 20*v. Find a such that h(a) = 0.
-4, 1
Let t = -782 - -3911/5. Let d(n) be the first derivative of 16/15*n**3 + 2/5*n**2 - 29 - t*n**4 - 16/5*n. Factor d(g).
-4*(g - 4)*(g - 1)*(g + 1)/5
Let p(c) be the third derivative of c**6/360 + 11*c**5/90 - 15*c**4/8 + 1194*c**2. Factor p(l).
l*(l - 5)*(l + 27)/3
Let u = 3245 - 22713/7. Let y(j) be the first derivative of 0*j - 20 + 1/7*j**4 - 2/35*j**5 - u*j**2 + 2/21*j**3. Solve y(n) = 0.
-1, 0, 1, 2
What is t in -1/2*t**2 + t + 0 = 0?
0, 2
Suppose 31*p - 716 = 1578. Suppose -10*y - p = -47*y. Factor 0 + 8/13*x**3 - 2/13*x**4 - 8/13*x**y + 0*x.
-2*x**2*(x - 2)**2/13
Let w = 2311/34 + -3458/51. Factor -1/3*r**2 - w*r**3 + 1/6*r + 1/3.
-(r - 1)*(r + 1)*(r + 2)/6
Let o(a) = 7*a + 86. Let t be o(-5). Let w be t/63 + 10/(-70). Factor 2/3*l - 1/2*l**2 + 2/3 - w*l**3 - 1/6*l**4.
-(l - 1)*(l + 1)*(l + 2)**2/6
Let s(n) be the second derivative of -1/2*n**2 - 39*n - 1/5*n**3 - 1/60*n**4 + 0. Find k such that s(k) = 0.
-5, -1
Determine a so that 0 - 4/7*a**2 - 6/7*a = 0.
-3/2, 0
Suppose 5*j - 33 + 83 = 0, -3*h + 2 = j. Let 2/17*v**h - 10/17*v**3 + 10/17*v + 12/17 - 14/17*v**2 = 0. What is v?
-1, 1, 6
What is b in -b**2 + 0 + 0*b - 1/5*b**3 = 0?
-5, 0
Suppose -9*u = -7*u - 18. Suppose u = 5*g - 6. Find j, given that -283*j**4 - g*j**5 + 10*j**2 + 249*j**4 - 9*j**5 + 4*j - 16*j**3 = 0.
-2, -1, -1/3, 0, 1/2
Let v(b) be the first derivative of -5*b**4/16 + 685*b**3/12 + 175*b**2/2 - 345*b - 10265. Factor v(r).
-5*(r - 138)*(r - 1)*(r + 2)/4
Solve -3/5*w**3 - 117/5*w**2 - 621/5*w + 11109/5 = 0.
-23, 7
Let s(g) be the second derivative of -1/3*g**4 + 0 + 1/105*g**6 + 266*g - 3/70*g**5 + 4/7*g**3 + 40/7*g**2. Factor s(v).
2*(v - 5)*(v - 2)*(v + 2)**2/7
Let f(x) = 3077*x + 120453. Let k be f(-39). Determine g so that 2/9*g**2 + k + 20*g = 0.
-45
Let i(x) be the second derivative of 3*x**4/7 - 2*x**3/21 - 16*x**2/7 - 109*x - 23. Factor i(u).
4*(u - 1)*(9*u + 8)/7
Let v(h) = -9*h**2 - 10*h + 10. Let a(j) = -8*j**2 - 11*j + 6. Let l(f) = 3*a(f) - 2*v(f). Suppose l(m) = 0. Calculate m.
-2, -1/6
Let v be (36/(-48) + (-8)/(-32))*2*(-1 + -1). Factor -224/5*c + 16/5 + 108/5*c**v.
4*(c - 2)*(27*c - 2)/5
Let t(v) be the second derivative of -21*v**5/20 - 103*v**4/4 - 161*v**3/2 - 195*v**2/2 - 4*v + 167. Determine q so that t(q) = 0.
-13, -1, -5/7
Let i be (6360/180)/(0 + 4/(-162)). Let k = 1431 + i. What is f in -1/3*f**4 + 2/9*f**2 + k + 0*f + 1/9*f**3 = 0?
-2/3, 0, 1
Let p(m) be the first derivative of -12*m**6 - 7212*m**5/5 - 43472*m**4 + 335188*m**3/3 - 103224*m**2 + 41616*m + 1794. Determine w, given that p(w) = 0.
-51, 1/2, 2/3
Let d = -274 - -11. Let v = d - -3421/13. Factor 0 + 0*f**2 - v*f + 2/13*f**3.
2*f*(f - 1)*(f + 1)/13
Let q(s) be the third derivative of 8*s**7/105 + 79*s**6/30 + 161*s**5/5 + 637*s**4/6 - 3430*s**3/3 + 745*s**2. Suppose q(u) = 0. What is u?
-7, 5/4
Let p(b) be the third derivative of -b**8/36960 + b**7/3465 - b**6/990 - b**4/8 - 7*b**3/6 - 47*b**2. Let c(v) be the second derivative of p(v). Factor c(f).
-2*f*(f - 2)**2/11
Let j(q) be the second derivative of -q**5/5 - 326*q**4/3 - 53138*q**3/3 - 71*q + 5. Factor j(t).
-4*t*(t + 163)**2
Let d be (-32)/6*(-8 + 2). Suppose 189 = -d*z + 95*z. Determine p, given that 0 - 16/3*p**z + 64/9*p**2 - 32/9*p - 2/9*p**5 + 16/9*p**4 = 0.
0, 2
Let j be (-280)/336*(-256)/10. Let m(l) be the third derivative of 38/15*l**5 + 32/3*l**4 + 0 + 1/6*l**6 + 31*l**2 - j*l**3 + 0*l. Factor m(c).
4*(c + 4)**2*(5*c - 2)
Factor -173*w - 197*w + 573 + 5*w**2 - 80 + 85*w + 57.
5*(w - 55)*(w - 2)
Let o(d) be the third derivative of d**5/270 - 29*d**4/54 + 8*d**3 - 904*d**2. Factor o(s).
2*(s - 54)*(s - 4)/9
Let w = 4376 - 4374. Let z(v) be the first derivative of -16*v**3 - 5*v**w + 27/2*v**4 + 4*v - 21. Factor z(i).
2*(i - 1)*(3*i + 1)*(9*i - 2)
Let c = 173149 - 173147. What is p in 8*p**3 - 4/3*p**4 - 15*p**c + 29/3*p - 2 = 0?
1/2, 2, 3
Let o(c) be the third derivative of 0 - 1/6*c**4 + 0*c + 8*c**3 - 1/30*c**5 + 116*c**2. Solve o(f) = 0 for f.
-6, 4
Let -28/3*g + 64/3 - 2/3*g**2 = 0. Calculate g.
-16, 2
Let u = -369886/13 + 7768178/273. Determine k, given that 2/21*k**4 - u*k**3 + 46/7*k**2 + 1352/21 + 1144/21*k = 0.
-2, 13
Let r be 583/(-132) - -3 - (-6)/4. Let t(w) be the second derivative of r*w**4 - w**2 + 1/6*w**3 + 0 + 5*w. Determine d, given that t(d) = 0.
-2, 1
Let m(z) = -6*z**2 + 407*z + 3640. Let p be m(-8). Suppose 3/5*u**2 + p - 33/5*u = 0. Calculate u.
0, 11
Let t(l) be the third derivative of 0*l**6 - 1/42*l**7 + 3*l**2 - 5/12*l**4 - 3*l + 0 + 0*l**3 + 1/4*l**5. Factor t(i).
-5*i*(i - 1)**2*(i + 2)
Let k = -152/85 + 1404/595. Let j(t) be the first derivative of 8/21*t**3 + k*t - 5/7*t**2 - 1/14*t**4 + 35. Factor j(y).
-2*(y - 2)*(y - 1)**2/7
Let r(u) be the first derivative of 15*u**4/28 + 208*u**3/7 + 1014*u**2/7 - 912*u/7 - 834. Factor r(b).
3*(b + 4)*(b + 38)*(5*b - 2)/7
Suppose -4*a + 8 = 0, 2*p - a = 3*a + 6. Factor -28*l**2 - p*l - 1 + 65 + 4*l**3 - 33*l.
4*(l - 8)*(l - 1)*(l + 2)
Suppose 5*d = -5*n - 20, -11*n + 12 = -6*n - 3*d. Let u be n - 76/(-12) - (-15)/(-3). Let 0 - 2*j**2 + 0*j**3 - u*j + 2/3*j**4 = 0. What is j?
-1, 0, 2
Suppose 341 - 26 = 3*v. Suppose -v = -0*d - 7*d. Let -4*l**4 - l**4 + 3*l**4 - d*l**3 - 3*l**4 - 10*l**2 = 0. Calculate l.
-2, -1, 0
Let t(f) = -25*f**4 - 4470*f**3 + 24690*f**2 - 20440*f + 70. Let a(r) = 3*r**4 + 497*r**3 - 2743*r**2 + 2271*r - 8. Let k(g) = -35*a(g) - 4*t(g). Factor k(v).
-5*v*(v - 91)*(v - 5)*(v - 1)
Let m(n) be the second derivative of 2/75*n**6 + 0*n**3 + 0*n**2 + 2/15*n**4 + 3/25*n**5 - 4*n - 3. Factor m(d).
4*d**2*(d + 1)*(d + 2)/5
Suppose 3 = -3*n + 2*n + 3*t, 2*t = -3*n + 24. Suppose -2 = -4*g - 2*x, -3*g = 5*x + 3 + n. Find l such that -g*l**4 - 352 + 352 = 0.
0
Suppose 3/2*h**4 - 36*h**2 - 51/2*h**3 + 0 + 162*h = 0. What is h?
-3, 0, 2, 18
Let p(b) = -b**3 - 9*b**2 - 12*b + 16. Let u = 469 - 476. Let q be p(u). Solve -5/3*k - k**q - 2/3 = 0.
-1, -2/3
Let y(s) be the second derivative of s**7/280 + s**6/3