 u so that 0 + 3/5*u**5 + 24/5*u**4 + 9/5*u**3 - 84/5*u - 96/5*u**2 = 0.
-7, -2, -1, 0, 2
Let m(z) be the second derivative of 4/21*z**3 + z + 9/14*z**2 - 1/84*z**4 + 30. Let m(s) = 0. What is s?
-1, 9
Suppose -72 = 5*m - 4*k + 15, 4*k = 12. Let h be (m/9)/((-20)/36). Factor -5/4*g**2 + 3/2*g + 0 - 1/4*g**h.
-g*(g - 1)*(g + 6)/4
Let d(y) be the second derivative of 1/6*y**3 + 0 - y + 5/72*y**4 + 0*y**2 - 1/120*y**5. Let d(c) = 0. What is c?
-1, 0, 6
Factor 1/2*b**3 + 37627/2*b + 391/2*b**2 - 116427/2.
(b - 3)*(b + 197)**2/2
Let a(v) = -174170905 + 174170905 + v. Let n(f) be the second derivative of f**4/12 + f**3/6 + f. Let b(h) = -6*a(h) + 3*n(h). Determine d so that b(d) = 0.
0, 1
Let t(m) be the second derivative of 7*m**4/6 - 389*m**3/3 - 168*m**2 + 136*m + 2. Find p, given that t(p) = 0.
-3/7, 56
Let y(o) be the first derivative of 0*o + 87 + 0*o**3 + o**4 - o**2 - 1/3*o**6 + 0*o**5. Solve y(d) = 0.
-1, 0, 1
Let y(x) = 2*x + 10. Let b(z) = -z**3 + 18*z**2 + 84*z - 20. Let u(i) = -b(i) - 2*y(i). Solve u(c) = 0.
-4, 0, 22
Let t be 70/20 + 1/2 + 36/(-10). Let s(q) be the second derivative of -1/60*q**4 + 0 - t*q**2 + 2/15*q**3 - 2*q. Determine u so that s(u) = 0.
2
Suppose -134 = 4*p - 142. Let l(o) = -2*o**3 + 11*o**2 + 2*o - 16. Let a(c) = -c**3 + 5*c**2 + c - 7. Let m(j) = p*l(j) - 5*a(j). What is b in m(b) = 0?
-1, 1, 3
Let x(o) = -8*o**4 + 23*o**3 - 19*o**2 - 50*o - 10. Let b(m) = 3*m**4 - 11*m**3 + 10*m**2 + 24*m + 4. Let t(q) = -5*b(q) - 2*x(q). Suppose t(f) = 0. What is f?
-10, -1, 0, 2
Suppose 4*m - 2*o = 110, -m + 0*o + 23 = -5*o. Suppose 12*z - m = -2*z. What is k in 32/3*k - z*k**2 - 10/3 = 0?
1/3, 5
Factor -10*n + 88/9*n**2 + 0 + 2/9*n**3.
2*n*(n - 1)*(n + 45)/9
Let u(p) = p**3 - 19*p**2 + 51*p + 11. Let k(t) = 0 - 89*t**2 + 93*t**2 - 10*t - 2. Let o(m) = 11*k(m) + 2*u(m). Determine j, given that o(j) = 0.
-4, 0, 1
Let b be 1/(-2)*(3 + -1 - 10). Let v = 1 - -6. Factor 1 - 17*z**3 + 2*z**b + 13*z**3 - v + 4 + 4*z.
2*(z - 1)**3*(z + 1)
Suppose -175*a + 5*l + 20 = -176*a, 0 = 4*a - 2*l - 30. Let 0 - 2/5*x**a + 0*x + 0*x**2 + 0*x**4 + 2/5*x**3 = 0. Calculate x.
-1, 0, 1
Find g such that -1234/3*g**2 - 1642/9*g**3 - 460/9 - 2534/9*g - 14/9*g**4 = 0.
-115, -1, -2/7
Suppose -117*s - 275 = -3*s - 503. Suppose k - 2*k = 0. Solve -2/7*h**s + k + 2/7*h = 0.
0, 1
Let c = -6104 + 6110. Let z(y) be the second derivative of -1/21*y**7 + 1/4*y**2 - 1/40*y**5 + 5/12*y**3 - 2/15*y**c + 7/24*y**4 + 0 - 9*y. Solve z(a) = 0.
-1, -1/2, 1
Let v(d) be the third derivative of -d**5/300 + 5*d**4/24 - 23*d**3/15 + 729*d**2. Factor v(y).
-(y - 23)*(y - 2)/5
Find v such that 90*v**3 - 2*v**5 + 184*v**4 + 736 + 97*v**3 + 87*v**3 - 920*v**2 - 264*v**3 + 246*v - 254*v = 0.
-2, -1, 1, 2, 92
Let i = 72 + -118. Let y = 47 + i. Let b(k) = -k**2 - k + 1. Let c(w) = 25*w**2 + 10*w - 15. Let z(j) = y*c(j) + 20*b(j). Factor z(u).
5*(u - 1)**2
Let x(h) be the third derivative of -5*h**8/336 + 26*h**7/21 - 255*h**6/8 + 357*h**5/2 + 540*h**4 - 8640*h**3 - h**2 + 28*h. Find d such that x(d) = 0.
-2, 3, 24
Suppose 993 = -17*m - 3410. Let t be (-1332)/m - (3 + -1). Suppose 32/7*s**2 + t*s + 2*s**3 + 4/7 = 0. Calculate s.
-1, -2/7
Let w(y) be the second derivative of -y**4/28 - 197*y**3/7 - 116427*y**2/14 + 435*y. Factor w(b).
-3*(b + 197)**2/7
Let i(x) = -x + 1. Let m = -43 - -109. Let j = m - 65. Let k(q) = 3*q**2 - 8*q + 5. Let u(s) = j*k(s) - 2*i(s). Find z such that u(z) = 0.
1
Let o(r) be the second derivative of r**6/36 - 13*r**5/5 - 191*r**4/72 + 7*r**3/2 + 778*r - 1. Suppose o(a) = 0. Calculate a.
-1, 0, 2/5, 63
Let o be (-1*8/24)/(3/(-27)). Let x(u) be the second derivative of 3/5*u**5 + 10/27*u**o - 1/9*u**2 + 0 - 13*u - 1/5*u**6 - 2/3*u**4. Factor x(f).
-2*(f - 1)*(3*f - 1)**3/9
Let d(g) be the first derivative of -50*g**3/3 - 215*g**2/2 - 60*g - 1153. Solve d(r) = 0.
-4, -3/10
Let b(y) = -y**2 - 70*y + 387. Let q be b(-75). Suppose -33*i + 29*i + q = 0. Determine c, given that -4/5 + 4/5*c**2 - 2/5*c + 2/5*c**i = 0.
-2, -1, 1
Let k(v) be the first derivative of v**7/42 + v**6/6 + v**5/4 - 4*v**2 - v - 77. Let n(b) be the second derivative of k(b). Determine r, given that n(r) = 0.
-3, -1, 0
Let s(j) = -8*j - 72. Let o be s(-10). Suppose -5*u + 5 = 5*v, 3*v = -14*u + 16*u + o. Find h such that -4/3*h + 0 + 14/3*h**v - 8/3*h**4 + 10/3*h**3 = 0.
-1, 0, 1/4, 2
Let c = -83123 + 83126. Factor -4/7*v**c + 4/7*v + 12/7*v**2 - 12/7.
-4*(v - 3)*(v - 1)*(v + 1)/7
Let f(a) be the second derivative of -2*a**7/21 + 4*a**6/15 + 12*a**5/5 + 14*a**4/3 + 10*a**3/3 + 42*a - 28. Determine z, given that f(z) = 0.
-1, 0, 5
Find a such that -46/3*a - 2/9*a**2 + 140/9 = 0.
-70, 1
Let o(b) = -b**2 - 2*b - 2*b + 3*b. Let l be (6/15)/(-12*9/(-270)). Let z(r) = 5*r**2 - 10*r + 49. Let g(d) = l*z(d) + 4*o(d). Factor g(x).
(x - 7)**2
Let b(t) be the third derivative of t**6/600 - 2*t**5/75 + 12*t**2 + 40*t. Factor b(r).
r**2*(r - 8)/5
Factor -80/9*z**2 - 340/9 + 418/9*z + 2/9*z**3.
2*(z - 34)*(z - 5)*(z - 1)/9
Let p(f) = f**2 + 3*f + 11. Let c(y) = -7*y**2 - 293*y + 1487. Let l(o) = c(o) + 3*p(o). Factor l(h).
-4*(h - 5)*(h + 76)
Let u(y) be the third derivative of -14/13*y**3 - 16 + 1/130*y**5 - 61/156*y**4 + 0*y + 4*y**2. Factor u(b).
2*(b - 21)*(3*b + 2)/13
Solve -4507*j**2 - 136*j - 4510*j**2 - 1156 + 9013*j**2 = 0.
-17
Suppose 3*x - 4*u = -2*x + 90, 2*u + 80 = 5*x. Let s be (1 - 12/x)/(-28 + 29). Let 0*k + 0 - 1/7*k**5 + 1/7*k**3 + 1/7*k**4 - s*k**2 = 0. What is k?
-1, 0, 1
Let v(r) = -9*r**2 + 342*r + 438. Let o(g) = -3*g**2 + g + 1. Let q(t) = 6*o(t) - v(t). Solve q(a) = 0 for a.
-36, -4/3
Let s(d) be the second derivative of -1/3*d**4 - 1/20*d**5 - 1/6*d**3 + 104*d + 3*d**2 + 0. Suppose s(f) = 0. What is f?
-3, -2, 1
Factor -16*h**3 - 240 - 66*h**2 + 36*h**2 + 3*h**4 + 280 - 5*h**4 + 8*h.
-2*(h - 1)*(h + 2)**2*(h + 5)
Let r(v) be the first derivative of -v**6/1140 + v**5/95 - 2*v**4/57 + 53*v**2 + 11. Let n(b) be the second derivative of r(b). Find p such that n(p) = 0.
0, 2, 4
Let z(n) = 2*n**3 - 11*n**2 + n + 1. Let j(g) = 9*g**3 - 18*g**2 - 81*g + 48. Let l(p) = j(p) - 6*z(p). Factor l(o).
-3*(o - 14)*(o - 1)**2
Suppose -87 = 4*l - 95. Factor 5 + 19 - 174*q + 46*q**l + 49*q**2 + 16*q**2 + 4*q**3 + 35*q**3.
3*(q - 1)*(q + 4)*(13*q - 2)
Factor 0 + 0*v + 5/6*v**4 + 2/3*v**3 - 2*v**2.
v**2*(v + 2)*(5*v - 6)/6
Let i(n) be the first derivative of 3*n**5 - 320*n**4 - 9145*n**3/3 - 2545*n**2 + 2760*n - 11628. Suppose i(s) = 0. Calculate s.
-6, -1, 1/3, 92
Let a(z) be the third derivative of 0*z + 26*z**2 + 45/2*z**3 - 265/24*z**4 - 1/6*z**5 + 2. Factor a(j).
-5*(j + 27)*(2*j - 1)
Factor 7 - 2*g - g**2 + 15 - 40 - 3*g + 14.
-(g + 1)*(g + 4)
What is i in -711683555 + 9*i**3 - 689778*i - 13*i**3 + 2084808555 - i**3 - 5647722*i + 9750*i**2 = 0?
650
Let 0*l - 3*l**2 + 0 - 1/2*l**4 - 7/2*l**3 = 0. What is l?
-6, -1, 0
Let j(x) be the second derivative of 7 - 16/11*x**2 - 144/11*x**4 + 208/33*x**3 + 486/55*x**5 + 243/55*x**6 + x. Factor j(s).
2*(s + 2)*(9*s - 2)**3/11
Suppose -3383 = -49*s + 1762. Let w be 1 + s/14 - 6. Find l such that 4 + 9*l - w*l**2 = 0.
-2/5, 4
Let r(u) = -380*u**2 + 31915*u + 435. Let a be r(84). Let -117/2 + 3/2*o**2 + a*o = 0. Calculate o.
-13, 3
Let h(q) be the second derivative of 1/20*q**5 - 13*q + 0 - 1/2*q**4 + 0*q**3 - 15/2*q**2. Let w(f) be the first derivative of h(f). Factor w(p).
3*p*(p - 4)
Let l(w) = 52*w**3 - 313*w**2 - 994*w + 1315. Let y(a) = -380*a**3 + 2190*a**2 + 6956*a - 9206. Let t(n) = 22*l(n) + 3*y(n). Factor t(j).
4*(j - 82)*(j - 1)*(j + 4)
Let i = 149964/5 - 29990. Factor i*z**2 - 4/5*z + 0 + 8/5*z**3.
2*z*(z + 2)*(4*z - 1)/5
Factor 4*f**3 + 2*f - 1909*f**4 - 1905*f**4 + 3813*f**4 + f**2 + 0*f - 6*f**2.
-f*(f - 2)*(f - 1)**2
Let c(p) be the first derivative of p**3/2 - 255*p**2 + 4060. Suppose c(v) = 0. What is v?
0, 340
Suppose 2*t - 10 = 0, -3*o + 3*t - 2 = 1. What is n in 2*n**o + 1758*n**2 + 107*n + 43*n - 14*n**3 - 1768*n**2 = 0?
-3, 0, 5
Let m(h) = -7*h**2 + 135*h - 38. Let c be m(19). Let n(j) be the third derivative of 2/3*j**3 + 32*j**2 + 0*j + 1/180*j**5 - 7/72*j**4 + c. Factor n(d).
(d - 4)*(d - 3)/3
Let j(g) be the first derivative of 10/9*g**3 - 5/3*g + 0*g**4 + 0*g**2 - 47 - 1/3*g**5. Determine u, given that j(u) = 0.
-1, 1
Supp