 0*z = -2*q + 59. Suppose -j + 4*i**2 - q + 34 = 0. Calculate i.
0
Let w = -218 - -212. Let r(k) = -17*k**2 + 6*k - 6. Let n(c) = 240*c**2 - 85*c + 85. Let x(y) = w*n(y) - 85*r(y). Determine o, given that x(o) = 0.
0
Let j(o) be the second derivative of -o**4/36 - 61*o**3/9 - 121*o**2/6 + 319*o. Factor j(z).
-(z + 1)*(z + 121)/3
Suppose 497*g + 0 + 0 = -685*g. Find u such that 2*u**3 - 2/7*u**5 + 2/7*u**4 - 26/7*u**2 + g + 12/7*u = 0.
-3, 0, 1, 2
Factor 23*o**3 - 9*o**3 + 200 + 46*o**2 - 196*o - 13*o**3.
(o - 2)**2*(o + 50)
Let m be ((-6055)/(-2595))/(28/48 - 0). Solve -20/3*n - 5/3*n**m + 0 - 15*n**2 - 10*n**3 = 0 for n.
-4, -1, 0
Let j(q) be the second derivative of 2*q**4/3 + 634*q**3/3 - 318*q**2 - 159*q + 5. Find h such that j(h) = 0.
-159, 1/2
Suppose 64*n = 67*n + 4*l + 10, -2*l = -4*n + 16. Let c(k) be the first derivative of 0*k + 1/20*k**5 + 0*k**n - 3/16*k**4 + 14 + 0*k**3. Factor c(u).
u**3*(u - 3)/4
What is a in 58/17*a**3 + 32/17*a + 12/17*a**4 + 86/17*a**2 - 8/17 = 0?
-2, -1, 1/6
Let f be 9/((1953/14)/31). Let c(x) be the second derivative of 1/48*x**4 - 14*x - 1/24*x**3 + 0 + 0*x**f. Solve c(r) = 0 for r.
0, 1
Let o(u) be the first derivative of -u**3/3 - 64*u**2 + 9639. Factor o(g).
-g*(g + 128)
Suppose 4*y - 2*f = -5082, -4*y = -0*y + 2*f + 5070. Let c be 7 + (y/63)/3. Suppose -4/7 + 6/7*z**3 - 6/7*z + 2/7*z**4 + c*z**2 = 0. Calculate z.
-2, -1, 1
Suppose 0 = 18*l + 541 + 3923. Let z be 3/9*l/(-93). Factor -8/9*y - z*y**2 + 0 + 2/3*y**3.
2*y*(y - 2)*(3*y + 2)/9
Let q(o) be the third derivative of o**7/105 - 2*o**6/3 + 89*o**5/15 - 8*o**4 - 105*o**3 + 708*o**2. Factor q(p).
2*(p - 35)*(p - 3)**2*(p + 1)
Let a(m) be the third derivative of -2*m**2 + 3/10*m**5 + 23/6*m**4 + 5/3*m**3 + 0*m - 66. Factor a(y).
2*(y + 5)*(9*y + 1)
Let l be 30/(-4)*(2547/566)/((-33)/8). Factor 2/11*p**3 + 2*p**2 + l + 78/11*p.
2*(p + 3)**2*(p + 5)/11
Let o(z) be the first derivative of 30 + 11*z**3 + 84*z + 48*z**2 + 3/4*z**4. Suppose o(n) = 0. Calculate n.
-7, -2
Let -29*a + 44/3 + 1/3*a**3 + 14*a**2 = 0. Calculate a.
-44, 1
Suppose -15*l = -0*l - 4230. Factor 234*h + 8 - 4*h**2 - l*h - 8.
-4*h*(h + 12)
Suppose 43*r - 248664 = -25752. Find q, given that 41*q**2 - r + 41*q**2 + 140*q - 83*q**2 + 4*q = 0.
72
Let f = 59534 - 59530. Suppose t - 1 = -4*q + 2*q, -q + 2*t = -8. Factor -1/3*p**q + 0*p + 0 + 1/3*p**f + 0*p**3.
p**2*(p - 1)*(p + 1)/3
Let y = 43858898/275469 + -10712004007372/74126779617. Let f = y - 4/15829. Factor -f*g**4 + 464/17*g + 64/17 + 1080/17*g**2 + 700/17*g**3.
-2*(g - 4)*(5*g + 2)**3/17
Let t(j) be the first derivative of 5*j**6/6 + 3*j**5 - 155*j**4/4 + 325*j**3/3 - 135*j**2 + 80*j + 2563. Let t(f) = 0. What is f?
-8, 1, 2
Let c(o) be the second derivative of -o**7/147 + 2*o**6/3 + 143*o**5/70 + 12*o**4/7 + 2*o + 403. Find z, given that c(z) = 0.
-1, 0, 72
Factor 0 + 1/2*z**3 - 2*z**2 - 5/2*z.
z*(z - 5)*(z + 1)/2
Let k(t) = t**3 - 40*t**2 - 43*t + 82. Let q be k(41). Let j(p) be the second derivative of q - 1/2*p**3 - 34*p - 1/12*p**4 - p**2. Factor j(f).
-(f + 1)*(f + 2)
Let t(n) = -n**4 + 14*n**3 + 37*n**2 + 193*n + 91. Let c(u) = u**3 + 15*u**2 - u + 1. Let j(f) = -5*c(f) - t(f). Factor j(p).
(p - 24)*(p + 1)*(p + 2)**2
Let h(v) be the first derivative of -1/21*v**3 - 1/2*v**2 - 6/7*v + 50. Find z, given that h(z) = 0.
-6, -1
Suppose -51*f = -42*f - 81. Suppose -3*x = -f, 5*v - 505 = 14*x - 9*x. Suppose 1014*m**2 + v*m + 8/3 = 0. Calculate m.
-2/39
Let l(r) be the first derivative of -2/3*r**2 + 8/3*r - 81 + 1/15*r**5 - 2/3*r**3 + 1/12*r**4. Factor l(n).
(n - 2)*(n - 1)*(n + 2)**2/3
Factor 4/5*c**2 + 384*c + 46080.
4*(c + 240)**2/5
Let a(h) = -12*h**2 - 58*h + 282. Let z(y) = y**2 + 2*y - 15. Let v(w) = -2*a(w) - 22*z(w). Suppose v(k) = 0. Calculate k.
-39, 3
Factor -55*f**4 - 2660*f**3 - 22356*f**2 - 137*f**4 - 844*f**3 - 55545*f - 36501.
-3*(f + 1)*(4*f + 23)**3
Suppose 1/5*b**2 + 154/5 - 31*b = 0. What is b?
1, 154
Let w(a) = 3*a**3 + 97*a**2 + 33*a + 37. Let m be w(-32). Let c(z) be the third derivative of 1/21*z**4 + 1/210*z**m - z**2 + 4/21*z**3 + 0 + 0*z. Factor c(t).
2*(t + 2)**2/7
Find m such that -2*m**5 + 10*m**2 + 23*m + 2*m**2 - 250*m**4 - 7*m + 238*m**4 - 14*m**3 = 0.
-4, -2, -1, 0, 1
Factor 161 - 1536*a - 72*a**3 + 40 - 481 + 862*a**2 + 60*a**3.
-2*(a - 70)*(a - 2)*(6*a + 1)
Suppose p + 312 + 1236 = 3*y, 3*p = -4*y - 4696. Let f = p - -1562. Solve -3/7*u**4 + 3/7*u + 9/7*u**3 + 0 - 9/7*u**f = 0.
0, 1
Factor -440/9*k - 8/9 + 110/9*k**3 + 2/9*k**2.
2*(k - 2)*(k + 2)*(55*k + 1)/9
Let y = 161616 + -484844/3. Factor 22/3*z - y*z**3 + 0 - 6*z**2.
-2*z*(z - 1)*(2*z + 11)/3
Factor 34 + 45*d + 6*d**2 - 34 + 32*d**3 - 35*d**3.
-3*d*(d - 5)*(d + 3)
Find a, given that 492*a - 330*a**2 + 665*a**3 - 2032*a - 25*a**4 + 9428 - 4882 - 5066 = 0.
-1, -2/5, 2, 26
Let m(f) be the third derivative of -f**6/480 + 209*f**5/120 - 3605*f**4/8 - 3675*f**3 + 9*f**2 - 90*f. Solve m(r) = 0.
-2, 210
Let t(q) = -q**2 - 7*q - 18. Let s be t(-5). Let d be 7 - ((-2)/s)/((-3)/(-12)). What is f in d*f**2 - 46*f**4 + 3*f**2 - f**2 + 44*f**4 = 0?
-2, 0, 2
Let z(q) = -q**3 + 3*q**2 + 7*q + 19. Let n(b) = 2*b + 77. Let t be n(-36). Let p be z(t). Find i such that 2/5 + 2*i**4 - 2/5*i**5 + 4*i**2 - 2*i - p*i**3 = 0.
1
Let o be (-39 - -35) + 259/(-2). Let u = 134 + o. Factor -1/4*w**5 - 1/4*w + 1/2*w**3 + 1/4*w**4 - u*w**2 + 1/4.
-(w - 1)**3*(w + 1)**2/4
Let y(i) be the first derivative of 3*i**4/20 + 724*i**3/5 + 390951*i**2/10 - 790614*i/5 - 2964. Determine z, given that y(z) = 0.
-363, 2
Solve 16/7*g - 55/7 - 1/7*g**2 = 0 for g.
5, 11
Let l = -116 - -122. Factor -5*j**3 + l*j**3 + 5*j**5 - 17*j**3 + 12*j - j**5 + 8 - 8*j**2.
4*(j - 2)*(j - 1)*(j + 1)**3
Let b(a) be the second derivative of a**6/10 + 123*a**5/160 + 37*a**4/32 + a**3/4 - 1118*a - 2. Let b(r) = 0. What is r?
-4, -1, -1/8, 0
Let x(p) be the third derivative of p**5/12 - 435*p**4/8 - 2355*p**2. Factor x(f).
5*f*(f - 261)
Let x = -2775/7 + 397. Let g be (-23)/(-5) + 2/5. Suppose -2/7*u**3 + 2/7*u**g + 0*u + 4/7*u**2 - x*u**4 + 0 = 0. What is u?
-1, 0, 1, 2
Let u(a) be the third derivative of a**7/560 - a**6/120 - 3*a**5/80 + 10*a**3/3 + 12*a**2. Let q(d) be the first derivative of u(d). Factor q(c).
3*c*(c - 3)*(c + 1)/2
Let o(q) = q**3 + 5*q**2 + q - 11. Let i be o(-4). Let t be (i - 0)*3/9. Factor -t*l - 2/3*l**2 + 1.
-(l - 1)*(2*l + 3)/3
Factor 612/5 + 1/10*f**2 + 161/10*f.
(f + 8)*(f + 153)/10
Let d(b) = -155*b**3 + 5080*b**2 - 79855*b + 409550. Let p(j) = -7*j**3 + 231*j**2 - 3630*j + 18616. Let u(i) = -2*d(i) + 45*p(i). Factor u(o).
-5*(o - 19)*(o - 14)**2
Suppose 17*t - 74 + 6 = 0. Let 132*m - m**t + 9*m**2 + 9*m**3 - 122*m - m**3 + 10*m**2 = 0. What is m?
-1, 0, 10
Suppose -2*l - i + 10 = 0, 3*l - 5*i = -2*i - 3. Solve 7*u**2 + 20*u - 6*u**2 + l*u**2 = 0.
-5, 0
Suppose 2*v + k = 4*v, -8 = -2*k. Let s be (3 + 147/(-35))/(v/(-5)). Factor 8*m**4 + 3*m**5 - 2*m**3 - 7*m**3 - 3*m**2 + 6*m**s - 5*m**4.
3*m**2*(m - 1)*(m + 1)**2
Let s be (225/612 + (-1)/((-51)/(-6)))*8. Let l = 39 + -38. Factor -1/4*z**s + l - 3/4*z.
-(z - 1)*(z + 4)/4
Let h(j) be the first derivative of -71 + j**2 - 1/10*j**5 - 1/3*j**3 + 3/2*j - 1/2*j**4. Suppose h(u) = 0. What is u?
-3, -1, 1
Let x(f) be the first derivative of f**5/15 - 25*f**4/12 - 28*f**3/3 - 2*f**2/3 + 112*f/3 - 1709. Factor x(y).
(y - 28)*(y - 1)*(y + 2)**2/3
Let j = -25885/84 - -1233/4. Let y(d) be the first derivative of -1/14*d**4 + 2/7*d**2 + 5 - j*d**3 + 0*d. Suppose y(x) = 0. What is x?
-2, 0, 1
Solve -2325/8 + 291*b - 3/8*b**2 = 0.
1, 775
Let 22*u**2 - 74*u**2 - 34591648 - 1026157 + 47*u**2 - 26690*u = 0. Calculate u.
-2669
Suppose -51 = -4*h - 3. Determine a so that 22 + 12*a + 4*a**3 + h*a**2 + 26 - 44 = 0.
-1
Let n = -11032 - -11035. Let f(o) be the second derivative of -1/18*o**4 + 0 + 2/9*o**n - 1/60*o**5 + 4/3*o**2 + 25*o. Suppose f(w) = 0. Calculate w.
-2, 2
Let q = 1088 + -1088. Let m(w) be the third derivative of -5*w**2 + 0 + 0*w - 1/210*w**5 + 1/840*w**6 + 1/168*w**4 + q*w**3. Factor m(n).
n*(n - 1)**2/7
Let s(c) be the second derivative of -11*c**5/50 + 13*c**4/30 + 4*c**3/3 - 4*c**2/5 + 907*c. Find o such that s(o) = 0.
-1, 2/11, 2
Let i(q) be the first derivative of -3*q**5 + 117*q**4/4 - 409*q**3/5 - 153*q**2/10 + 1734*q/5