 h(i) = -2*i**3 + 62*i**2 + 37*i - 59. Let v(l) = 6*h(l) - 13*j(l). Suppose v(t) = 0. What is t?
-3, 2, 6
Solve 113/8*m + 1/8*m**2 - 1/8*m**4 + 0 - 113/8*m**3 = 0 for m.
-113, -1, 0, 1
Let j(m) be the second derivative of -m**6/60 - 17*m**5/30 + 20*m**4/3 - 28*m**3 - 63*m**2 + 116*m. Let n(l) be the first derivative of j(l). Factor n(a).
-2*(a - 2)**2*(a + 21)
Let h(v) be the second derivative of v**4/6 - 710*v**3/3 + 126025*v**2 - 955*v. Find m, given that h(m) = 0.
355
Factor -1936 + 44*f - 1/4*f**2.
-(f - 88)**2/4
Let f be 4*(-1 - 0*(-4)/(-12)). Let n(z) = -z**3 - 3*z**2 + 2*z + 9. Let u be n(f). Find d such that 28 + 15*d - 58 + 5*d**3 + 2 - u + 25*d**2 = 0.
-3, 1
Let s(q) = -8*q**2 + 6*q. Let i = 479 - 484. Let z be (-9)/3*(-2 + 3). Let l(a) = a**3 + 16*a**2 - 11*a. Let k(p) = i*s(p) + z*l(p). Factor k(c).
-c*(c + 3)*(3*c - 1)
Let r(u) = -11*u**3 + 64*u**2 + 162*u - 2. Let x(y) = -47*y**3 + 253*y**2 + 649*y - 9. Let t(g) = 9*r(g) - 2*x(g). Factor t(c).
-5*c*(c - 16)*(c + 2)
Let h(p) be the second derivative of 242*p**4 - 836*p**3/3 + 361*p**2/3 + 1661*p. Factor h(o).
2*(66*o - 19)**2/3
Suppose 1/5*q**2 - 844/5*q + 843/5 = 0. Calculate q.
1, 843
Let f(h) = 59*h**2 - 25*h + 73. Let w be f(3). Determine p, given that 133*p**3 - 257*p**3 + 46*p**2 + 125*p**3 + w*p = 0.
-23, 0
Find f, given that -792/7*f + 790/7 + 2/7*f**2 = 0.
1, 395
Suppose -17*r + 879 = -787. Let d be r/(-56) - (-2 + 0). Determine x, given that -1/4*x**2 + d*x + 0 = 0.
0, 1
Let b(t) be the second derivative of -t**8/11760 + t**7/1470 + t**6/315 + t**4/12 - 5*t**2/2 + 6*t - 3. Let g(m) be the third derivative of b(m). Factor g(v).
-4*v*(v - 4)*(v + 1)/7
Find o such that -58/25*o - 2/25*o**2 + 192/25 = 0.
-32, 3
Let g be 0/(-3) - 1*(-6)/3. Factor 4*x**g + 1 - 20*x - 36*x**2 - 6 + 17*x**2.
-5*(x + 1)*(3*x + 1)
Find c, given that -25*c + 1574 - 15*c**4 - 5*c**2 - 1574 + 25*c**3 - 19*c**4 + 39*c**4 = 0.
-5, -1, 0, 1
Suppose z - 45 = -34. Let h(i) = -i**2 - 1109*i + 31360. Let o(l) = l**2 + 554*l - 15680. Let g(s) = z*o(s) + 6*h(s). Factor g(t).
5*(t - 56)**2
Find y, given that 4/3*y**2 + 112 - 340/3*y = 0.
1, 84
Let p(i) be the third derivative of -i**6/90 + 944*i**5/45 + i**4/18 - 1888*i**3/9 - 9*i**2 + 581. Find q, given that p(q) = 0.
-1, 1, 944
Let o(y) be the first derivative of -y**4/2 + 1616*y**3/3 - 163216*y**2 - 633. Factor o(x).
-2*x*(x - 404)**2
Let u = 281483/750664 - -2/93833. Factor -15/8*v**2 - 1/2*v**3 + u - v.
-(v + 1)*(v + 3)*(4*v - 1)/8
Let f = 86 - 84. Let 1104 - 2*j**2 + 0*j**f - 1143 + 79*j = 0. Calculate j.
1/2, 39
Let u(n) be the third derivative of n**7/105 + 7*n**6/60 + 2*n**5/15 - n**4 - 517*n**2. Factor u(y).
2*y*(y - 1)*(y + 2)*(y + 6)
Suppose 5*a - 22 = 18. Factor 15*i + 10 + 8 - a*i**2 + 5*i**2.
-3*(i - 6)*(i + 1)
Let f(b) = 231*b - 1380. Let c be f(6). Let l(u) be the second derivative of 7*u + 0*u**2 - 1/10*u**c + 3/5*u**5 - 3/4*u**4 + 0*u**3 + 0. Factor l(w).
-3*w**2*(w - 3)*(w - 1)
Let v(m) be the first derivative of 1/5*m**4 + 16/5*m + 55 - 4/5*m**3 + 0*m**2. Factor v(c).
4*(c - 2)**2*(c + 1)/5
Let q(z) be the first derivative of 3*z**5/20 + 3*z**4/8 - 11*z**3/4 - 9*z**2/2 + 27*z - 902. What is x in q(x) = 0?
-3, 2
Let v(d) = 4*d**2 - 33*d - 3. Let y(t) = 3*t**2 - 34*t - 2. Let l = 350 + -347. Let h(g) = l*y(g) - 2*v(g). Factor h(m).
m*(m - 36)
Let u = 407943 - 407925. Factor -u + 12*i + 15/2*i**2 - 3/2*i**3.
-3*(i - 6)*(i - 1)*(i + 2)/2
Let i(x) = -x**2 - 66*x + 1215. Let q be i(-81). Let z(r) be the first derivative of 0*r + 3/10*r**5 + q*r**2 - 45 + 9/8*r**4 + r**3. Solve z(h) = 0 for h.
-2, -1, 0
Let i(l) be the first derivative of -2*l**3/21 - 54*l**2/7 - 106*l/7 + 512. Factor i(a).
-2*(a + 1)*(a + 53)/7
Suppose 3*x - 3 = 0, 5*x + 28 = 5*h - 37. Let k be (-4)/h + 220/280. Let 0*n**2 + 1/4*n**3 + k - 3/4*n = 0. Calculate n.
-2, 1
Let g(w) be the second derivative of w**5/5 + 22*w**4/3 + 78*w**3 - 541*w. Factor g(v).
4*v*(v + 9)*(v + 13)
Let d(i) be the third derivative of i**8/40320 - i**7/10080 + i**5/30 - i**4/6 - 81*i**2. Let a(b) be the third derivative of d(b). Factor a(g).
g*(g - 1)/2
Let l(v) = v + 7. Suppose 4*c = -2*t - 4 - 4, -3*c - 15 = 0. Let i be l(t). Factor -i*g - 10*g - 4*g**2 + 11*g + 16.
-4*(g - 1)*(g + 4)
What is a in -2/7*a**5 - 512/7*a**2 - 520/7*a + 138/7*a**3 + 0 + 128/7*a**4 = 0?
-2, -1, 0, 2, 65
Let f(j) = j**3 - 150*j**2 + 32*j + 17435. Let k be f(149). Factor 120 + 5/6*m**k + 20*m.
5*(m + 12)**2/6
Let g = -3765 - -135545/36. Let c(i) be the third derivative of 15*i**2 - g*i**4 + 0 + 0*i + 5/12*i**3 + 1/72*i**5. Find b such that c(b) = 0.
1, 3
Factor -154*i**5 - 312*i**4 - 146*i**5 + 304*i**5 - 14307*i**2 + 6384*i**3 + 2755*i**2.
4*i**2*(i - 38)**2*(i - 2)
Let z = 190468 + -571388/3. Let q = -1 - -3. Factor 0 + 4/3*n**3 - z*n - 16/3*n**q + 4/3*n**4.
4*n*(n - 2)*(n + 1)*(n + 2)/3
Let n = 13203 + -13199. Let q(x) be the second derivative of -1/9*x**3 + 1/18*x**5 + 0*x**2 - 2/135*x**6 + 0 - 11*x + 2/27*x**n. Find a such that q(a) = 0.
-1, 0, 1/2, 3
Let b(k) be the first derivative of k**7/14 - 9*k**6/20 + 3*k**5/5 + k**4 + 41*k**2/2 + 13. Let j(p) be the second derivative of b(p). Factor j(v).
3*v*(v - 2)**2*(5*v + 2)
Let d(h) be the second derivative of h**6/20 - 3*h**5/40 - 3*h**4 - 9*h**3 + 1319*h. Factor d(g).
3*g*(g - 6)*(g + 2)*(g + 3)/2
Suppose -17*o - 207 = -8*o. Let r be (-2)/o - 3752/(-1288). Suppose -27/4*d**2 + 15/2*d - 2 + 5/4*d**r = 0. What is d?
2/5, 1, 4
Let h(a) = -3*a**5 + 2*a**4 + a**3 + a**2 - a - 1. Let n(d) = -29*d**5 - 108*d**4 - 119*d**3 + 10*d**2 - 10*d - 10. Let j(c) = 10*h(c) - n(c). Factor j(w).
-w**3*(w - 129)*(w + 1)
Let a be (-3 + 68/20)/(1/10). Suppose -3*p + c = a*c + 9, 3*c + 13 = -p. Suppose 0*b**2 - 3*b**p - 15*b + 8*b**2 = 0. Calculate b.
0, 3
Let i(n) = 5968*n - 5968. Let z be i(1). Find m, given that -2/3*m**2 - 2/3*m**3 + z + 40/3*m = 0.
-5, 0, 4
Let n(u) be the third derivative of u**6/24 - 3*u**5/4 - 35*u**4/8 + 1225*u**3/6 - 1355*u**2. Let n(m) = 0. What is m?
-5, 7
Let t be (-294)/(-468)*-3*24/(-18). Let a(u) be the first derivative of 22 + 7/13*u**2 + t*u**3 - 12/13*u. Solve a(d) = 0 for d.
-3/7, 2/7
Let u(r) be the first derivative of -41*r**2/2 + 6*r - 14. Let i be u(-2). Solve -208*c**2 + i*c**3 - 16*c**3 + 176*c**2 + 20*c**4 = 0 for c.
-4, 0, 2/5
Factor -1084*r - 1864*r**3 + 1876*r**3 - 1335*r - 1592*r**2 + 3240 - 469*r - 916*r.
4*(r - 135)*(r + 3)*(3*r - 2)
Solve -14*u**2 - 427*u - 521*u - 67*u + 9*u**2 = 0 for u.
-203, 0
Let z(x) be the third derivative of x**8/448 + x**7/210 - 7*x**6/96 - 2*x**5/5 - 19*x**4/24 - 2*x**3/3 - 1261*x**2 - 2. Solve z(b) = 0 for b.
-2, -1, -1/3, 4
Determine r, given that 1393920 + 89683*r - 179389*r + 84426*r + 5*r**2 = 0.
528
Suppose -25*y + 0 = 100. Let w be (y + 70/15)/(2/9). What is z in 3/2 + 29/4*z**w - 21/4*z**4 + 43/4*z + 87/4*z**2 = 0?
-1, -1/3, -2/7, 3
Let o(d) be the second derivative of 7*d**6/40 - 19*d**5/80 - 23*d**4/48 + 19*d**3/24 + d**2/4 - 12*d + 182. Solve o(n) = 0.
-1, -2/21, 1
Let v(w) be the second derivative of -66*w**2 + 1/3*w**4 + 0 - 64/3*w**3 - 54*w. Factor v(u).
4*(u - 33)*(u + 1)
Let b be 442/68*3/((-3)/2). Let n be 9656/2431 + (-1 - b/11). Let 24/13*s + 18/13*s**4 + 8/13 - n*s**2 + 4/13*s**3 = 0. What is s?
-2, -2/9, 1
Factor 2/5*b**2 + 598/5 - 120*b.
2*(b - 299)*(b - 1)/5
Let l(d) = d**3 + 6*d**2 + 22*d + 87. Let f be l(-5). Let p(j) be the first derivative of 1/17*j**4 - 2/17*j**f + 2/85*j**5 - 2/17*j + 0*j**3 + 9. Factor p(b).
2*(b - 1)*(b + 1)**3/17
Let u be (-2650)/225 - 6/27. Let i(r) = r**2 + 16*r + 51. Let z be i(u). Find l, given that -139/5*l**z - 32/5*l - 4/5 - 19*l**4 - 97/5*l**2 - 5*l**5 = 0.
-1, -2/5
Let o(m) = -5*m**2 + 270*m + 518. Let j(y) = 10*y - 1. Let h(z) = 2*j(z) - o(z). Factor h(x).
5*(x - 52)*(x + 2)
Let q(k) be the second derivative of k**8/336 - k**7/21 + 7*k**6/48 - 5*k**5/24 - k**4/6 - k**3/2 + 55*k. Let d(z) be the third derivative of q(z). Factor d(r).
5*(r - 5)*(2*r - 1)**2
Let m(p) be the second derivative of -p**4/20 - 27*p**3/10 + 297*p**2/5 + 96*p + 17. Factor m(a).
-3*(a - 6)*(a + 33)/5
Let n = -2122/413 - -438/59. What is l in n*l - 10/7 - 6/7*l**2 = 0?
1, 5/3
Let t(k) = k**2 + 9*k - 8. Let s be t(-10). Find w such that -w**s - w**3 + w - 4 - w**2 + 7*w**2 - 1 = 0.
-