 first derivative of -5*g**4/4 - 220*g**3/3 + 2975*g**2/2 + 159250*g + 5707. Solve j(u) = 0.
-35, 26
Let z = -178 + 160. Let v(g) = -g**3 - 17*g**2 + 15*g - 52. Let t be v(z). Solve -32/3*r**3 + 20*r**4 - 16/3*r**5 + 0*r - 4*r**t + 0 = 0.
-1/4, 0, 1, 3
Let n = 454 - 449. Suppose 0 = 2*f + m - 2, -n*f + 4*m + m = -35. Factor 4/9*a - 2/9*a**4 + 2/9 - 4/9*a**f + 0*a**2.
-2*(a - 1)*(a + 1)**3/9
Let n(r) = 3*r**2 + 2*r + 2*r**2 - 20*r**2 + 14*r**2. Let c(x) = 8*x**2 + 72*x - 2025. Let k(g) = -2*c(g) - 18*n(g). Factor k(w).
2*(w - 45)**2
Let u(p) be the second derivative of 2633*p**4/4 + 1317*p**3 + 3*p**2/2 + 4619*p. Factor u(o).
3*(o + 1)*(2633*o + 1)
Let w = 113 - 107. Let t be 2/5 - 18/(-5). Factor -w*p**4 + 15*p**2 + 0*p**t + 61 + 3*p**3 - 61 + 6*p.
-3*p*(p - 2)*(p + 1)*(2*p + 1)
Suppose 4*o = -w + 449, 3*o + 108 = 4*o - 4*w. Let y be 9 - (-24)/o*86. Solve 3/7*d**2 + 48/7*d + y = 0.
-8
Let j = -471 - -473. Let o(d) = -16*d + 36. Let h be o(j). Let 10/7*g**2 - 2/7 + 2/7*g**3 + 8/7*g**5 - 2/7*g - 16/7*g**h = 0. Calculate g.
-1/2, 1
Determine z so that -60*z**2 + 73*z - 239*z + 5*z**5 + 45*z**3 + 60*z**4 + 85*z**3 + 31*z = 0.
-9, -3, -1, 0, 1
Let g be 5 - (-1 - 15)/(-8). Let k be g - (-1 + (-48)/(-28)). Factor k*v + 16/7 - 4/7*v**2 - 4/7*v**3.
-4*(v - 2)*(v + 1)*(v + 2)/7
Let i(r) be the second derivative of -5*r**7/42 + 4*r**6/3 - 6*r**5 + 85*r**4/6 - 115*r**3/6 + 15*r**2 - 1468*r. What is u in i(u) = 0?
1, 2, 3
Suppose 0 = -10*p - 14 + 34. Let -46*a**4 + 11*a**3 - 14*a**4 - 14*a**p + 10*a**4 - 8 + 109*a**3 - 48*a = 0. What is a?
-2/5, -1/5, 1, 2
Let j(t) be the second derivative of t**4/4 + 314*t**3 + 1881*t**2/2 - t - 1147. Factor j(g).
3*(g + 1)*(g + 627)
Let k be 16/12*(-12)/(-72). Let q = 86/45 - 22/15. Factor q*v**2 - k*v + 2/9*v**3 - 4/9.
2*(v - 1)*(v + 1)*(v + 2)/9
Let s be 8/92 + 136/23 - (2 - -1). Let 0*k**4 + 6*k + 0*k**2 + 0 - 15/2*k**s + 3/2*k**5 = 0. Calculate k.
-2, -1, 0, 1, 2
Let o be (9/(-6))/(9/(-6)). Let t be (-1*(4 + -3))/(o/(-15)). Factor -2 - 112*l + t*l**2 + 238*l - 3 - 116*l.
5*(l + 1)*(3*l - 1)
Let x(a) = 8*a - 21. Let t be x(7). Suppose -t = -6*p + 13. Determine n so that -p*n + 6*n + 7*n - 4*n**2 - n = 0.
0, 1
Suppose 29*h + 131*h = -281 + 281. Let j(i) be the third derivative of 1/15*i**5 + 8/3*i**3 + h*i - 25*i**2 + 0 - 5/6*i**4. Factor j(m).
4*(m - 4)*(m - 1)
Let l(w) be the first derivative of -w**6/2 - 27*w**5/5 - 15*w**4 - 873. Let l(u) = 0. What is u?
-5, -4, 0
Determine r so that -2140/3*r**2 + 2/9*r**3 + 0 + 572450*r = 0.
0, 1605
Factor -49*x + 233 - 4*x**2 + 237 - 157*x + 2*x + 178.
-4*(x - 3)*(x + 54)
Let q(y) be the second derivative of -5*y**7/14 + 196*y**6/5 - 2037*y**5/5 + 3197*y**4/2 - 5343*y**3/2 + 1917*y**2 + 1855*y. What is a in q(a) = 0?
2/5, 1, 3, 71
Let l be (1 + -4 + 4)*(-31 + 31). Let z(v) be the third derivative of 1/8*v**4 + 0 + 1/140*v**7 + 0*v**3 + l*v + 0*v**6 - 3/40*v**5 + 4*v**2. Factor z(u).
3*u*(u - 1)**2*(u + 2)/2
Let b(k) = k**3 - k**2 - k - 1. Let h(c) = 9*c**3 + 1059*c**2 + 141503*c - 142585. Let q(u) = 7*b(u) - h(u). Solve q(v) = 0 for v.
-267, 1
Let j(y) = 4*y**2 - 13*y - 5575. Let k be j(39). Let -3/8*o**k + 9/4*o - 3 = 0. What is o?
2, 4
Suppose d + 5 = -1. Let h be (16 - 13) + d + 3. Find k such that 1/8*k**3 + 1/8*k**2 + h*k + 0 = 0.
-1, 0
Let p be (-71)/(-355) + (-26731)/55. Let n = 486 + p. Factor -2/11*m**3 + 2/11 + 2/11*m - n*m**2.
-2*(m - 1)*(m + 1)**2/11
Factor -i**3 - 1010443*i**2 + 1010458*i**2 + 4*i**3 - 15 - 3*i.
3*(i - 1)*(i + 1)*(i + 5)
Let o(w) = 2*w**4 + 2*w. Let j(u) = 20*u**4 + 30*u**3 + 28*u**2 - 1538*u + 2800. Let x(c) = -2*j(c) + 22*o(c). Solve x(b) = 0.
-7, 2, 10
Let z = -130/19 - -317/38. Factor -195/8*r + 111/8*r**2 + 21/4 - z*r**3.
-3*(r - 7)*(r - 2)*(4*r - 1)/8
Let x(u) be the second derivative of u**5/40 - 9*u**4/2 + 243*u**3 - 205*u. Find q such that x(q) = 0.
0, 54
Let c be -58 + (-33088)/(-572) + (-56)/(-26). Factor 152/11*n - 144/11 + 2/11*n**3 - 4*n**c.
2*(n - 18)*(n - 2)**2/11
Let n(x) be the second derivative of 7/33*x**3 - 1/33*x**4 + 138*x - 1/110*x**5 + 0 - 4/11*x**2. Find f, given that n(f) = 0.
-4, 1
Let q(y) be the first derivative of -2/7*y**2 + 0*y + 24 - 2/21*y**3. Suppose q(l) = 0. What is l?
-2, 0
Suppose -3*p + 55 = -0*p - 5*t, 25 = -5*t. Let c(b) be the first derivative of 3/14*b**2 + 0*b - p + 1/21*b**3. Find h such that c(h) = 0.
-3, 0
Let y(q) be the third derivative of -q**6/24 + 5*q**5/3 - 265*q**4/24 + 85*q**3/3 + 167*q**2 - 2*q - 2. What is t in y(t) = 0?
1, 2, 17
Suppose 25 = -31*s - 68. Let z(u) = 3*u**3 + 12*u**2 + 3*u. Let b(h) = -3*h**3 - 12*h**2 - 2*h. Let l(o) = s*b(o) - 2*z(o). Factor l(w).
3*w**2*(w + 4)
Let o(h) be the third derivative of 1/45*h**5 + 0*h**4 + 0*h - 1/36*h**6 + 0 - 1/504*h**8 + 102*h**2 + 4/315*h**7 + 0*h**3. Factor o(s).
-2*s**2*(s - 2)*(s - 1)**2/3
Let a(v) be the second derivative of 2 - 1/2*v**4 + 1/20*v**6 - 4/3*v**3 - 1/84*v**7 - 20*v + 0*v**2 + 1/5*v**5. Suppose a(i) = 0. What is i?
-2, -1, 0, 2, 4
Let r be 33/((8 - 2)/(-258)). Let z be (-4902)/r - (-6)/11. Factor -2/3*i**2 + 2/3*i**z - 2/3*i**3 + 2/3*i**5 + 0 + 0*i.
2*i**2*(i - 1)*(i + 1)**2/3
Let q(t) be the third derivative of t**5/130 + 581*t**4/78 + 129*t**3/13 + 979*t**2. Factor q(y).
2*(y + 387)*(3*y + 1)/13
Let c(l) be the first derivative of -2*l**6/3 + 16*l**5/5 + 80*l**4 - 2200*l**3/3 + 1250*l**2 + 5000*l + 1915. What is f in c(f) = 0?
-10, -1, 5
Let r(j) be the second derivative of -31/60*j**3 - 17 - 2*j - 1/4*j**2 - 1/20*j**4. Factor r(l).
-(l + 5)*(6*l + 1)/10
Let r(y) = 6*y**3 + 84*y**2 + 294*y. Let b(u) = 2*u**3 + 28*u**2 + 98*u. Suppose 0 = 18*g + 2*g + 60. Let q(s) = g*r(s) + 8*b(s). What is w in q(w) = 0?
-7, 0
Let g(s) be the third derivative of s**7/4200 - s**5/50 - 7*s**4/24 - 6*s**2 + 6*s. Let x(t) be the second derivative of g(t). Find w, given that x(w) = 0.
-2, 2
Let n(m) = -m**2 + 9*m + 3. Let s be n(10). Let v(g) = 3*g + 24. Let o be v(s). Factor 5*b**3 + 61*b**4 - 39*b**4 - b**o.
2*b**3*(11*b + 2)
Solve 0 - 1/3*g + 247/2*g**4 - 81/2*g**2 + 250/3*g**3 = 0 for g.
-1, -2/247, 0, 1/3
Let b = -33 - -65. Factor 5*k**2 + b*k + 31*k - 124*k - 69*k + 845.
5*(k - 13)**2
Let y(h) be the first derivative of -2*h**5/35 - h**4/2 + 242. Determine j, given that y(j) = 0.
-7, 0
Let g(y) = y**2 + y - 1. Let s(i) = -9*i**2 - 28*i - 19. Let r(n) = 10*n**2 + 27*n + 20. Let k(l) = -2*r(l) - 3*s(l). Let h(a) = -6*g(a) + k(a). Factor h(m).
(m + 1)*(m + 23)
Let j be ((-12)/(-63))/(12/18). Let k = 1627/4 - 11381/28. Suppose 0*q + j*q**3 - k*q**4 + 0*q**2 + 0 = 0. What is q?
0, 1
What is u in 303/2*u**2 + 150 - 1203/4*u - 3/4*u**3 = 0?
1, 200
Let t = -1994888 + 1994890. Find y such that -4*y**t + 2/7*y + 4 - 2/7*y**3 = 0.
-14, -1, 1
Let k = 29128 - 29126. Determine a, given that 1/3*a**4 + 4*a + k*a**3 + 4/3 + 13/3*a**2 = 0.
-2, -1
Let j be 1 + 37 - (-35 + 27). Suppose -j*c = -57*c + 22. Determine o, given that -10/3*o - 4/3 - 8/3*o**c - 2/3*o**3 = 0.
-2, -1
Let s(f) be the third derivative of f**6/3 - 23*f**5/12 - 245*f**4/8 - 15*f**3 - 2254*f**2 - f. Factor s(x).
5*(x - 6)*(x + 3)*(8*x + 1)
Let x(y) be the second derivative of -1/2*y**2 + 17/36*y**3 + 12 + y + 1/72*y**4 - 17/120*y**5 + 1/36*y**6. Solve x(t) = 0 for t.
-1, 2/5, 1, 3
Let 586/5*f + 629/5*f**2 + 7/5*f**4 + 34*f**3 + 24 = 0. Calculate f.
-20, -3, -1, -2/7
Suppose -2*g - 10 + 17 = 1. Let t(f) be the second derivative of 19*f + 1/3*f**g + 0*f**2 + 0 - 1/18*f**4. Factor t(x).
-2*x*(x - 3)/3
Let k(u) = -129072*u - 1032576. Let r be k(-8). Let j = -1 + 1. What is i in r + 4/9*i**4 + j*i - 8/9*i**3 + 4/9*i**2 = 0?
0, 1
Let l(a) = 82*a**3 + 13112*a**2 + 9383*a - 3762. Let i(b) = 112*b**3 + 19668*b**2 + 14075*b - 5642. Let c(m) = 5*i(m) - 7*l(m). Factor c(r).
-2*(r - 469)*(r + 1)*(7*r - 2)
Let d(c) = -c**2 + 1599*c - 4786. Let y be d(3). Factor -2/15*q**y + 2/15*q + 4/15.
-2*(q - 2)*(q + 1)/15
Factor 484/3*z**2 - 4/3*z**4 + 0*z + 0*z**3 + 0.
-4*z**2*(z - 11)*(z + 11)/3
Let h = 101263/22502 + -2/11251. Let -6*z + 3/8*z**5 + h + 45/8*z**3 - 15/8*z**2 - 21/8*z**4 = 0. Calculate z.
-1, 1, 2, 3
Determine n, given that -1380*n + 294 + 63*n - 2691*n**2 + 1047*n**2 - 33*n**3 = 0.
-49, -1, 2/11
Let j = 1817/216 + -17/216. Determine c so that 10/3*c - j - 1/3*c**2 = 0.
5
Let p(y) be the thi