 107 = 0?
-8/7
Let g(b) be the third derivative of 8*b**6/15 + 1064*b**5/45 + 529*b**4/54 + 44*b**3/27 - 1619*b**2 + 2. Solve g(t) = 0 for t.
-22, -1/12
Let a(b) = 4*b**2 + 74*b - 73. Let r(h) = 40 + 31*h**2 - 36*h - 4 + 14*h - 33*h**2 - 14*h. Let s(n) = -4*a(n) - 10*r(n). Factor s(i).
4*(i - 1)*(i + 17)
Let v(u) be the third derivative of u**8/336 - u**7/42 - 9*u**6/20 + 28*u**5/15 + 116*u**4/3 + 128*u**3 + 2697*u**2. Find d such that v(d) = 0.
-4, -1, 6, 8
Let w(j) = -38*j + 269. Let p be w(7). Let c be (p/(171/(-2)))/(321/(-963)). Find y, given that -4/19*y**3 + 0*y + 2/19*y**4 + 0*y**2 + 0 + c*y**5 = 0.
-2, 0, 1
Let 0 - 1/3*j**2 - 79/3*j = 0. What is j?
-79, 0
Factor -4/7*b**2 - 1244/7*b + 1248/7.
-4*(b - 1)*(b + 312)/7
Let d be 1/3 + 70/42. Let v be -12*6/(-270)*5. Factor 2/9*c**d + v*c + 0.
2*c*(c + 6)/9
Let x(a) be the first derivative of -a**4/18 - 62*a**3/27 - 155*a**2/9 - 250*a/9 - 504. What is v in x(v) = 0?
-25, -5, -1
Let h(g) be the second derivative of 0 - 2*g**5 - 8/3*g**6 - 125*g**2 + 25/6*g**3 + 105/4*g**4 + 285*g. Suppose h(z) = 0. What is z?
-2, -1, 5/4
Suppose -6*x + 13 = -11. Suppose 2*m + m - 15 = 3*j, -x*m - 2*j = -50. Factor 5 + 9*k + 15*k**3 - 37*k**2 + m*k**2 - 2.
3*(k - 1)**2*(5*k + 1)
Suppose -2358*t - 26 = f - 2356*t, 4*f + 4*t = -48. Factor -1/5*z**4 - 1/5*z**3 + z**f + 0 - 3/5*z.
-z*(z - 1)**2*(z + 3)/5
Let i = 6105 - 6105. Let u(l) be the first derivative of 6*l**2 + 2 + i*l - 4*l**3 + 3/4*l**4. Factor u(o).
3*o*(o - 2)**2
Suppose -89*p + 75*p + 14 = 0. Let f(r) = -63*r**2 - 132*r - 14. Let d(z) be the second derivative of z**2/2 + 2*z. Let t(s) = p*f(s) + 2*d(s). Factor t(b).
-3*(b + 2)*(21*b + 2)
Let s = -75111 - -300453/4. Factor -15/8*m**4 + 3/8*m**5 + s*m**3 + 3/4*m**2 + 9/8 - 21/8*m.
3*(m - 3)*(m - 1)**3*(m + 1)/8
Let t(s) be the first derivative of 1/8*s**3 + 1/8*s + 3/16*s**2 + 1/32*s**4 - 315. Let t(q) = 0. Calculate q.
-1
Find n such that 1/4*n**5 - 87/2*n**2 - 1691/4*n - 39/4*n**4 - 1083/4 + 197/2*n**3 = 0.
-1, 3, 19
Factor 9/4*v**3 - 2501*v + 834 + 3747/2*v**2.
(v + 834)*(3*v - 2)**2/4
Let o(h) = -9*h**4 + 233*h**3 + 58*h**2 + 6*h + 18. Let g(i) = i**4 - i**3 + 3*i**2 - i - 3. Let l(t) = -6*g(t) - o(t). Solve l(j) = 0 for j.
-1/3, 0, 76
Let i(c) = -21*c - 1046. Let r be i(-50). Let p(l) be the second derivative of 1/6*l**r - 3*l**2 - 2/3*l**3 - 14*l + 0. Solve p(x) = 0.
-1, 3
Determine x so that -164/7 - 78/7*x + 2/7*x**2 = 0.
-2, 41
Let q(n) = -378*n + 378. Let b be q(1). Let j(f) be the first derivative of -1/4*f**4 + 10 + b*f**2 + 2/5*f**5 - 1/6*f**6 + 0*f + 0*f**3. Factor j(y).
-y**3*(y - 1)**2
Let i(p) be the second derivative of -p**5/70 + 67*p**4/7 + 909*p. Factor i(z).
-2*z**2*(z - 402)/7
Let b(l) be the second derivative of 7*l**5/270 - l**4/108 + 151*l**2/2 + 57*l. Let u(h) be the first derivative of b(h). Suppose u(i) = 0. What is i?
0, 1/7
Factor 0 - 1/3*f**4 - 11/3*f**2 + 20/3*f - 8/3*f**3.
-f*(f - 1)*(f + 4)*(f + 5)/3
Let h(y) be the second derivative of y**8/40320 - y**6/1080 - 43*y**4/2 - 13*y - 4. Let j(z) be the third derivative of h(z). Factor j(n).
n*(n - 2)*(n + 2)/6
Let v be 2/(-8) + (-91)/(-140)*5. Find c such that 238*c + 57*c**2 - 157*c**2 + 40*c**v - 53*c - 90 - 35*c**3 = 0.
1, 18
Let k(z) be the first derivative of z**4/5 - 1028*z**3/15 - 2082*z**2/5 - 3132*z/5 - 7808. Solve k(v) = 0.
-3, -1, 261
Let s(w) be the first derivative of -3*w**5/20 + 3*w**3/2 - 3*w**2 - 86*w + 69. Let o(b) be the first derivative of s(b). Factor o(r).
-3*(r - 1)**2*(r + 2)
Let o(a) be the first derivative of -36 - 2*a**2 + 3/2*a**4 - 4/5*a**5 + 2*a**3 + 0*a. Solve o(v) = 0 for v.
-1, 0, 1/2, 2
Suppose -2*h + 100 = 2*x, 2*h + 37 - 183 = -3*x. Let d = 47 - x. Find j such that 3*j**2 - 4*j**2 - 4 - 3*j - d + 3 = 0.
-2, -1
Let w(k) = 18*k**2 + 9495*k + 7517667. Let g(c) = 31*c**2 + 18991*c + 15035334. Let z(y) = -3*g(y) + 5*w(y). Factor z(h).
-3*(h + 1583)**2
Let r = 83 + 96. Suppose -3*q + 88 = -4*d - 88, -r = -3*q + d. Suppose -2*c**2 - q*c - c**2 + 8*c**2 = 0. What is c?
0, 12
Let 16/3 + 1/3*w**3 + 6*w**2 + 11*w = 0. What is w?
-16, -1
Let z(s) = -3*s + 15. Let v(k) = 1. Let t(j) = -v(j) + z(j). Let q be t(3). Factor -11*u - u**2 - q*u + 2*u - 49.
-(u + 7)**2
Let x = -23204 + 23207. Let f(d) be the second derivative of 0 + 1/60*d**5 + 1/3*d**2 + 5/18*d**x + 1/9*d**4 - 41*d. Determine a, given that f(a) = 0.
-2, -1
Let a(q) = 1. Let l(g) = -12*g - 18. Let z(f) = 18*a(f) - l(f). Let y be z(-3). Let 2/9*v**3 + y + 2/9*v + 4/9*v**2 = 0. Calculate v.
-1, 0
Factor 2/5*h**2 + 1944392/5 + 3944/5*h.
2*(h + 986)**2/5
Let y(u) = 303*u - 47. Let q be y(3). Find j, given that j - 4*j + 4*j**2 + 854 - j - q = 0.
-1, 2
Suppose -3*u + z = -4, u = -3*z - 15 + 3. Let x(c) be the first derivative of 4/9*c**2 + u*c + 2/27*c**3 + 15. Factor x(t).
2*t*(t + 4)/9
Let w = -1153 + 1155. Let d(b) be the first derivative of -2/21*b**w + 20 + 0*b + 2/105*b**5 + 1/63*b**6 - 1/14*b**4 - 10/63*b**3. Let d(u) = 0. Calculate u.
-1, 0, 2
Let -295/3*g**4 - 4195/3*g**3 - 5/3*g**5 - 1500 + 4795/3*g**2 + 1400*g = 0. Calculate g.
-30, -1, 1
Let v(m) be the second derivative of -2*m**6/15 - 48*m**5/5 + 96*m**4 + 13824*m**3 - 373248*m**2 + 2906*m. Factor v(x).
-4*(x - 12)**2*(x + 36)**2
Let t = -2051 - -2500. Suppose t*x = 457*x - 120. Find v such that -10/3 + 35/3*v + 25/3*v**3 - x*v**2 - 5/3*v**4 = 0.
1, 2
Let -5/6 - 47/3*q - 89/6*q**2 = 0. What is q?
-1, -5/89
Let v**4 - 40*v + 16*v**4 + 216 - 69*v**4 - 612*v**2 - 68*v - 340*v**3 = 0. Calculate v.
-3, -1, 6/13
Let z(n) = -51*n**3 + 357*n**2 - 159*n - 21. Let j(c) = 5*c**3 - 35*c**2 + 16*c + 2. Let k(p) = -21*j(p) - 2*z(p). Find m such that k(m) = 0.
0, 1, 6
Let u be (4/18)/2*(-224)/2520*-45. Let q(l) be the first derivative of 0*l**2 - u*l**3 + 0*l**4 + 0*l - 22 + 1/18*l**6 + 1/5*l**5. Let q(i) = 0. Calculate i.
-2, 0, 1
Let y(h) be the second derivative of 0*h**2 + 1/28*h**4 + 0*h**3 + 0 - 3/140*h**5 + 124*h. Solve y(t) = 0 for t.
0, 1
Suppose 3*t - t - 2*f = 6, 5*f = -2*t + 13. Suppose t*g**2 + 177*g + 2297 + 121*g + 1067 - 66*g = 0. What is g?
-29
Let f(v) be the first derivative of -16*v**3/21 - 852*v**2/7 - 45369*v/7 + 543. Let f(q) = 0. Calculate q.
-213/4
Let c(o) be the second derivative of 90 + 0*o**2 - 3481/70*o**6 - 60/7*o**4 + 2/7*o**3 + 1593/20*o**5 - 2*o. Factor c(z).
-3*z*(z - 1)*(59*z - 2)**2/7
Let n(r) = -7*r**2 - 32*r + 712. Let h(a) = -2*a**2 - 17*a + 237. Let b(g) = -8*h(g) + 3*n(g). Let b(f) = 0. What is f?
-4, 12
Suppose -99*t - 39 = -102*t. What is m in 2*m - 17*m + 0 - 6 + 9*m**3 - m**2 + t*m**2 = 0?
-2, -1/3, 1
Let n(j) = -5*j**4 + j**3 + 2*j**2 + j - 2. Let k(g) = 98*g**4 - 1566*g**3 - 48668*g**2 + 67058*g - 16856. Let q(f) = k(f) + 22*n(f). Find a such that q(a) = 0.
-65, 1/3, 1
Let w(u) be the first derivative of -5/4*u**4 + 130 + 45/2*u**2 - 45*u + 5/3*u**3. Factor w(b).
-5*(b - 3)*(b - 1)*(b + 3)
Let j(t) be the third derivative of 0*t**3 + 0*t - 112*t**2 + 0*t**4 + 0*t**5 + 0 + 2/105*t**7 - 1/6*t**6. Suppose j(d) = 0. Calculate d.
0, 5
Determine k, given that 1188/7 + 24*k + 4/7*k**2 = 0.
-33, -9
Let n(o) be the first derivative of -2*o**3/21 - 5526*o**2/7 - 15268338*o/7 - 5081. Determine k, given that n(k) = 0.
-2763
Let j(k) = 18*k**2 - 422*k - 10814. Let z(h) = 4*h**2 - 94*h - 2399. Let n(m) = -10*j(m) + 44*z(m). Factor n(p).
-4*(p - 38)*(p + 17)
Let y(i) = 2 - 11690*i**2 - 4 + 11691*i**2 + 3. Let q = -31 - -10. Let d(g) = -6*g**2 - 8*g + 9. Let w(v) = q*y(v) - 3*d(v). Find u, given that w(u) = 0.
4
Suppose 5456 = 74*q + 5234. Factor 1/4*u**3 + 5/4*u**2 - q - 2*u.
(u - 2)*(u + 1)*(u + 6)/4
Let f(g) = -22*g**2 + 9*g + 13. Let y(o) = 3 - 56*o + 58*o - 4*o**2 - o**2. Let i(q) = 2*f(q) - 9*y(q). Factor i(r).
(r - 1)*(r + 1)
Factor -86436/11 - 1/11*w**4 - 1813/11*w**2 - 20580/11*w - 70/11*w**3.
-(w + 14)**2*(w + 21)**2/11
Let t(f) be the second derivative of f**5/4 + 985*f**4/12 - 1495*f**3/3 + 1000*f**2 + 1744*f. Let t(k) = 0. Calculate k.
-200, 1, 2
Let d = -75 - -87. Let b be (-4)/d - (2 - (-39)/(-9)). Let -303*i**3 + 305*i**3 - 4 - 13*i + 3*i + b*i**4 - 6*i**2 = 0. What is i?
-1, 2
Let p(r) = 26*r - 324. Let a be p(18). Let y = -8 - -12. Factor -47*i**3 - 48*i + 6*i**y - a*i - 21*i**3 - 256 + 240*i**2.
2*(i - 4)**3*(3*i + 2)
Let g be 3*(-3 - -6)/2