- 150*q + 2489. Let a be v(131). Determine b, given that -12/5*b**2 + a + 12/5*b**3 + 3/5*b**4 - 3/5*b**5 + 0*b = 0.
-2, 0, 1, 2
Let b(d) be the second derivative of -981*d**5/14 + 536*d**4/21 + 4*d**3/21 - 46*d + 83. Suppose b(r) = 0. What is r?
-2/545, 0, 2/9
Let u(p) = -p**4 - p**3 + 4*p**2 - p + 1. Let b(z) = 4*z**4 + 10*z**3 - z**2 - 4*z - 15. Let m(v) = -5*b(v) - 15*u(v). Suppose m(k) = 0. Calculate k.
-4, -3, -1, 1
Let v(x) be the first derivative of 2*x**3/15 - 8*x**2 - 82*x/5 + 609. Factor v(i).
2*(i - 41)*(i + 1)/5
Let g(h) = 23*h - 13*h**2 + 0 - 63*h + 2*h**2 + 18*h**3 - 3 - 2*h**2. Let b(n) = n**3 - n**2 - 1. Let d(a) = -3*b(a) + g(a). Determine j, given that d(j) = 0.
-4/3, 0, 2
Let z be (4 + (-360)/99)*(-22)/(-12). Let i be ((-28)/63)/((-2)/3). Suppose 4/3*y**2 - z*y - 4/3 + i*y**3 = 0. Calculate y.
-2, -1, 1
Let x(j) = -7*j - 19 - j**2 - 27 + 42 + 4*j**2 + 2*j**2. Let m(g) = -21*g**2 + 29*g + 18. Let d(y) = -6*m(y) - 26*x(y). Solve d(p) = 0.
1
Let t(w) = 56*w + 119. Let s be t(-2). Suppose 8*z + 3*o = s*z + 17, -5*z = 5*o - 35. Find d, given that -4/3*d - 14/3*d**z + 0 = 0.
-2/7, 0
Suppose 0 = -4*v + 3*m + 1160, -v - 20*m + 297 = -19*m. Suppose v = -5*g + 313. Factor -18/7*x**2 + 0 - 10/7*x**g - 24/7*x**3 - 4/7*x.
-2*x*(x + 1)**2*(5*x + 2)/7
Factor 1347921/2*k - 3483/2*k**2 - 173881809/2 + 3/2*k**3.
3*(k - 387)**3/2
Let m(s) be the second derivative of s**6/375 - 9*s**5/250 + 4*s**4/75 + 611*s. Factor m(i).
2*i**2*(i - 8)*(i - 1)/25
Solve -1/4*v**2 - 107/2 + 215/4*v = 0.
1, 214
Suppose -1/6*d**3 - 47 - 49/3*d**2 - 379/6*d = 0. What is d?
-94, -3, -1
Suppose -33*c + 35*c - 4 = -4*y, 0 = -4*c - y + 8. Factor 1806*q**2 - 4 + 4 + 5*q**3 - 1801*q**c.
5*q**2*(q + 1)
Let n be (-99)/198 + 50/4 - 11 - -4. Suppose -8/7*f**3 + 0*f**4 + 2/7*f**n + 0*f**2 + 0 + 0*f = 0. Calculate f.
-2, 0, 2
Let r = -406 - -411. Factor -130*f**2 + 41*f + 62*f - 27 - 8 - 16*f**4 + 5 + f**r + 72*f**3.
(f - 10)*(f - 3)*(f - 1)**3
Factor -50*r - 77*r**2 + 520 - 17*r + 82*r**2 - 83*r + 45*r.
5*(r - 13)*(r - 8)
Let v(y) be the first derivative of y**5/80 + 61*y**4/48 + 899*y**3/24 - 961*y**2/8 - 185*y - 82. Let k(w) be the first derivative of v(w). Factor k(i).
(i - 1)*(i + 31)**2/4
Let i(o) be the first derivative of o**6/300 + o**5/75 - o**4/15 - 8*o**3/15 - 13*o**2/2 + 33. Let r(f) be the second derivative of i(f). Factor r(g).
2*(g - 2)*(g + 2)**2/5
Let m(x) be the second derivative of 33/5*x**3 + 19/30*x**4 + 1/50*x**5 + 1 + 13*x + 81/5*x**2. Factor m(o).
2*(o + 1)*(o + 9)**2/5
Let i(u) = u**3 + 8*u**2 + 12*u - 9. Let d(r) = r**3 + 2*r**2 + 5*r - 4. Let b(z) = -9*d(z) + 4*i(z). Factor b(w).
-w*(w - 3)*(5*w + 1)
Suppose 850 = 3*r - 2*w, 5*r - 32*w = -30*w + 1410. Let v = r + -808/3. Let -4/3*y**2 - v*y - 64/3 = 0. What is y?
-4
Let n(r) be the second derivative of -1 + 1/12*r**4 + 8*r**2 + 17/6*r**3 + 6*r. Solve n(d) = 0 for d.
-16, -1
Let c(z) be the third derivative of z**8/224 - 43*z**7/140 - z**6/80 + 43*z**5/40 + 2*z**2 - 64*z. Suppose c(x) = 0. What is x?
-1, 0, 1, 43
Factor 6*s**4 - 170*s**3 - s**4 - 2*s**4 - s**4 + 172 - 117*s**2 - 57*s**2 + 170*s.
2*(s - 86)*(s - 1)*(s + 1)**2
Let s = 37 + -35. Let q(w) = -w + w - 1 - 11*w**2 - 14*w + 3*w**s. Let b(z) = -9*z**2 - 15*z. Let f(t) = -5*b(t) + 6*q(t). What is m in f(m) = 0?
-2, -1
Let y(x) = -2*x**2 - 16*x + 50. Let d(z) = -3*z**2 - 32*z + 101. Let u(b) = b**2 - 9*b + 2. Let q be u(0). Let l(a) = q*d(a) - 5*y(a). Solve l(o) = 0 for o.
-6, 2
Let f(m) be the second derivative of 35*m - 31827/8*m**2 + 5 - 103/4*m**3 - 1/16*m**4. Let f(u) = 0. What is u?
-103
Find w such that -2/3*w**4 + 4832/3 + 316/3*w**3 + 2384/3*w - 710*w**2 = 0.
-1, 4, 151
Factor -405 + 120*g + 145*g - 26*g**2 - 49*g**2 + 50*g + 5*g**3.
5*(g - 9)*(g - 3)**2
Let v(z) = -3*z**2 + z - 5. Let f(m) = -21*m**2 + 2676*m - 594105. Let c(a) = -f(a) + 6*v(a). Solve c(n) = 0.
445
Let p = -46 - -41. Let i be (-31)/p - 2 - (-4)/(-20). Factor 8*f**i + 7*f**4 - f**2 - 14*f**4.
f**2*(f - 1)*(f + 1)
Let k(t) be the second derivative of -t**7/42 - t**6/30 - t**2/2 - 277*t. Let l(r) = -16*r**5 - 56*r**3 - 20. Let g(q) = -20*k(q) + l(q). Factor g(v).
4*v**3*(v - 2)*(v + 7)
Let c(y) be the second derivative of y**6/1080 - y**5/180 - 7*y**2 - 53*y. Let a(x) be the first derivative of c(x). Factor a(b).
b**2*(b - 3)/9
Let u be (-2 + -4 + 1 + (105 - 100))/(-2). Let k(l) be the first derivative of -8/3*l**3 - 8 + u*l**2 + 2/3*l**6 + 0*l - 16/5*l**5 + 5*l**4. Factor k(s).
4*s**2*(s - 2)*(s - 1)**2
Let b(x) be the second derivative of -x**4/6 + 16*x**2 + 543*x. Factor b(a).
-2*(a - 4)*(a + 4)
Let y(a) = -a**3 - a**2 - a + 3. Let f(p) = 7*p**3 + 46*p**2 + 136*p + 108. Let w(i) = -f(i) - 4*y(i). Factor w(u).
-3*(u + 2)**2*(u + 10)
Suppose -g = 9 - 54. Let k be (-158)/(-40) - g/(-180). Factor k + 18/5*y - 3/5*y**2.
-3*(y - 7)*(y + 1)/5
Let k be 21/(-63) - (627/44)/(-19). Let s(a) be the third derivative of a**3 - 26*a**2 + 0*a - k*a**4 + 0 + 7/90*a**5 - 1/180*a**6. Find m, given that s(m) = 0.
1, 3
Let v(p) be the second derivative of -p**7/105 - 17*p**6/25 + 167*p**5/25 - 77*p**4/5 - 111*p**3/5 + 513*p**2/5 + 11380*p. Determine k, given that v(k) = 0.
-57, -1, 1, 3
Let a(r) be the first derivative of -1331*r - 11*r**3 + 1/4*r**4 + 363/2*r**2 + 188. Factor a(f).
(f - 11)**3
Let s be (-7 + 13 - 5) + -2163. Let g = -36744/17 - s. Find q, given that 0 + g*q - 2/17*q**2 = 0.
0, 5
Determine z so that 56236 - 519*z**2 - 21648*z - 3*z**3 + 0*z**3 + 17781 - 4321 = 0.
-88, 3
Let c(g) be the first derivative of -21*g - 4*g**2 - 3/4*g**4 + 43/3*g**3 + 24. Let u(v) = v**3 - 11*v**2 + 2*v + 5. Let h(y) = -6*c(y) - 22*u(y). Factor h(l).
-4*(l - 1)*(l + 1)*(l + 4)
Factor -2/7*p**3 - 3600/7 - 2040/7*p - 124/7*p**2.
-2*(p + 2)*(p + 30)**2/7
Find n, given that 8*n**4 + 44/5*n**2 + 0*n - 86/5*n**3 + 2/5*n**5 + 0 = 0.
-22, 0, 1
Let a(l) be the second derivative of 217*l**4/3 + 288*l**3 - 8*l**2 - 908*l. Find n, given that a(n) = 0.
-2, 2/217
Let f(g) be the first derivative of -3*g**4/4 + 5*g**3 + 69*g**2 + 120*g + 2281. Determine c so that f(c) = 0.
-4, -1, 10
Let z = -648 - -649. Let n be -5*z - 60/(-12). Suppose -1/3*i**2 + n + 0*i + 1/6*i**4 + 1/6*i**3 = 0. What is i?
-2, 0, 1
Let o(i) be the third derivative of -2*i**7/525 - 44*i**6/75 + 89*i**5/75 - 1979*i**2. Solve o(r) = 0.
-89, 0, 1
Suppose 2*x = 10 + 8. Let a be x/(-6)*(-40)/15. Factor 0 - 1/4*c**3 - 1/2*c**2 + 1/4*c**a + 0*c.
c**2*(c - 2)*(c + 1)/4
Let d be (-10)/15*(4 + -11 + 4). Solve 2*a - 11*a**3 + 42*a**d - 140*a**4 + 7*a + 932*a**5 - 832*a**5 = 0.
-3/10, 0, 1
Let -243/2*u - 1/2*u**2 + 122 = 0. Calculate u.
-244, 1
Suppose -b - b = 5*f - 226, 0 = -4*f - 8. Let q = -45 + b. Suppose -q*v - 72*v - 27*v**2 - 729 - v**3 - 98*v = 0. Calculate v.
-9
Suppose 0 = 4*d - 3*l - 24, 5*d + 12*l = 8*l - 1. Let -18*z**4 + 10*z**3 - 24*z**2 + 34*z**2 - 15*z + 2*z**d + 3*z**5 + 8*z**2 = 0. Calculate z.
-1, 0, 1, 5
Let y be (2/5)/((-15)/2025). Let h be (y/(-12))/(9/6). Factor -3/2*v**h - 9/4*v**4 + 3/4 - 3/4*v**5 + 3/2*v**2 + 9/4*v.
-3*(v - 1)*(v + 1)**4/4
Let -760/3*l - 1552/3 - 89/3*l**2 + 1/3*l**3 = 0. Calculate l.
-4, 97
Let f = 23487 + -117434/5. What is l in 8/5*l**2 + 0 - 4/5*l - 2/5*l**4 - 3/5*l**3 + f*l**5 = 0?
-2, 0, 1, 2
Suppose 2/13*w**2 + 58/13*w + 200/13 = 0. What is w?
-25, -4
Let -2/5*h**5 - 4*h**2 - 6/5*h - 24/5*h**3 - 12/5*h**4 + 0 = 0. What is h?
-3, -1, 0
Let g(s) be the third derivative of 1/24*s**4 - 1/180*s**5 - 2 + 0*s**3 - 28*s**2 + 0*s - 1/120*s**6 + 1/630*s**7. What is m in g(m) = 0?
-1, 0, 1, 3
Solve -90/7*w + 3/7*w**2 + 0 = 0.
0, 30
Let q(g) be the third derivative of g**6/60 + g**5/8 - 7*g**4/48 - g**3 - 2*g**2 - 1185. Factor q(j).
(j - 1)*(j + 4)*(4*j + 3)/2
Let b = 157876 + -157874. Factor -4/3*y + 10/3*y**b - 16 + 2/3*y**3.
2*(y - 2)*(y + 3)*(y + 4)/3
Factor -66/5 + 1/5*h**2 - 13*h.
(h - 66)*(h + 1)/5
Let r(p) = 10*p**2 + 220*p + 4. Let v(n) = 18*n**2 + 444*n + 7. Let u(t) = -7*r(t) + 4*v(t). Suppose u(c) = 0. What is c?
-118, 0
Let f(v) be the first derivative of -v**6/1980 + v**5/165 + 5*v**4/132 + 2*v**3/3 + 98. Let t(g) be the third derivative of f(g). Suppose t(q) = 0. Calculate q.
-1, 5
Let v be (-2)/6*(0 + -9 - 0). Suppose -v*p + 3 = q, 2*p - 2 = 21*q - 24*q. Find j, given that -6/7*j + q*j**2 +