9*i**2 - 46*i + 2. Solve g(t) = 0 for t.
1, 4, 13
Let t(g) = -16*g**3 - 82*g**2 - 38*g - 12. Let n(j) = 37*j**3 + 192*j**2 + 89*j + 29. Let s(r) = 8*n(r) + 19*t(r). Let s(b) = 0. Calculate b.
-2, -1, 1/4
Factor 17*p**5 + 1152 + 2450*p - 16*p**5 + 334*p - 44*p**4 + 393*p**3 - 4*p**3 + 2066*p**2.
(p - 24)**2*(p + 1)**2*(p + 2)
Suppose -32*t + 2424 = 76*t - 7*t. Factor 60*d + 75/2*d**2 + t.
3*(5*d + 4)**2/2
Let h(i) be the first derivative of -5*i**3/6 + 5*i**2/4 + 15*i - 4441. Factor h(z).
-5*(z - 3)*(z + 2)/2
Let c = -200791/8 - -25099. Let m(h) be the first derivative of 1/2*h + 26 - 1/12*h**3 - c*h**2. Factor m(p).
-(p - 1)*(p + 2)/4
Let l(g) be the first derivative of -30 - 12*g - 3/16*g**4 + 15/4*g**2 + 7/4*g**3. Determine f so that l(f) = 0.
-2, 1, 8
Let w be (-30)/50 + 86/10. Let a(z) = z**2 - 8*z + 19. Let g be a(4). Solve -9 + 1 + g*s + 3*s**2 + s**3 + 17 - w = 0.
-1
Let n(f) be the first derivative of 5*f**5/4 - 2455*f**4/16 + 2915*f**3/12 - 485*f**2/8 - 6870. Let n(h) = 0. What is h?
0, 1/5, 1, 97
Let z be 56*(-1 - -1 - 3/(-12)). Factor 13*h**2 - z*h - 37*h**2 + 4*h - h**2.
-5*h*(5*h + 2)
Let g(d) = 30*d**3 - 107*d**2 + 22*d + 120. Let s(n) = -7*n**3 + 27*n**2 - 5*n - 30. Let m(i) = -3*g(i) - 13*s(i). Factor m(u).
(u - 30)*(u - 1)*(u + 1)
Let m(i) be the first derivative of 3*i**4/16 - 25*i**3/4 - 159*i**2/8 - 81*i/4 - 6115. Suppose m(a) = 0. What is a?
-1, 27
Let i(d) be the third derivative of 0 + 0*d**3 + 14*d - 1/24*d**6 + 2*d**2 - 35/24*d**4 + 2/3*d**5. Factor i(m).
-5*m*(m - 7)*(m - 1)
Let b be (-24*55/132)/(10/(-4)). Let 162/5*a**2 - 2/5*a**5 + 22/5*a**b - 108/5*a - 18*a**3 + 0 = 0. What is a?
0, 2, 3
Suppose 41*q - 115 = 18*q. Suppose 4*m + 2*w - 12 = 0, 3*m = q*w + 10 + 12. Solve 0 + 3/5*f**5 - f**2 + f**m - 2/5*f - 1/5*f**3 = 0 for f.
-1, -2/3, 0, 1
Let 21*k**4 + 4*k**5 - 94982117 + 94982117 + 21*k**3 + 4*k**2 = 0. What is k?
-4, -1, -1/4, 0
Let o(m) = 2*m - 11. Let j be o(5). Let r(x) = x**3 - x**2 + x + 1. Let h(a) = -4*a**4 + 6*a**3 + 98*a**2 + 126*a + 50. Let t(w) = j*h(w) - 6*r(w). Factor t(l).
4*(l - 7)*(l + 1)**2*(l + 2)
Suppose -4*f = -5*x - 14429 - 538, 20 = 4*x. Find y, given that -7245*y**2 + f*y**4 - 7494*y**4 + 3741*y**4 + 44965*y + 335*y**3 + 121670 = 0.
-2, 23
Let f = 70 - 70. Let z be -3 + f/(-1) - (-9 - -4). Let -r**3 - r + 39*r**2 + 6 + 0*r - 43*r**z = 0. Calculate r.
-3, -2, 1
Let b(o) = 6*o**2 + 951*o + 223744. Let a(j) = 7*j**2 + 952*j + 223747. Let v(w) = 5*a(w) - 6*b(w). Let v(k) = 0. What is k?
-473
Let k(w) be the third derivative of -2*w**7/105 - 43*w**6/60 + 34*w**5/3 - 221*w**4/4 + 84*w**3 - 142*w**2 - 7*w. Solve k(a) = 0 for a.
-28, 1/2, 3
Suppose 2*c + 0*c = 4. Let -55*z**2 + 32*z**c + 16*z + 27*z**2 = 0. Calculate z.
-4, 0
Factor -33/2*c**2 + 129/8*c + 1/8*c**3 + 131/4.
(c - 131)*(c - 2)*(c + 1)/8
Let g(h) be the third derivative of 2*h + 0 + 0*h**4 + 1/40*h**5 + 3/140*h**7 - 3/80*h**6 + 0*h**3 + 45*h**2 - 1/224*h**8. Factor g(u).
-3*u**2*(u - 1)**3/2
Let k(c) be the second derivative of -7*c**6/75 + c**5/25 + 7*c**4/10 - 4*c**3/3 + 4*c**2/5 + 1956*c. Solve k(z) = 0.
-2, 2/7, 1
Let c = 858 + -1711/2. Let v(i) = -i**2 + 3*i + 7. Let u be v(4). Factor 9/2*p**2 + c*p**u + 3/2*p - 1/2.
(p + 1)**2*(5*p - 1)/2
What is m in -314/3*m - 124/3 - 10/3*m**2 = 0?
-31, -2/5
Suppose -2 = -l - 5*t, 0 = l - 578*t + 576*t - 2. Let w(p) be the first derivative of 2*p**3 - 21/2*p**l - 38 + 9*p. Determine m so that w(m) = 0.
1/2, 3
Let k(p) = -36*p**3 + 3 + 138*p + 21*p**2 - 139*p + p**3 + 0*p**2. Let m = 8 + -4. Let r(a) = -36*a**3 + 20*a**2 + 4. Let l(u) = m*k(u) - 3*r(u). Factor l(d).
-4*d*(2*d - 1)*(4*d - 1)
Let u(y) = 4*y**3 + y**2 + 6*y. Let j be 4 + -1*(-6)/(-18)*-3. Let m(r) = 6*r**3 + r**2 + 10*r. Let z(a) = j*u(a) - 3*m(a). Let z(x) = 0. What is x?
-1, 0
Let -18/7*f**4 - 44/7*f**3 - 320/7*f + 96/7 + 282/7*f**2 + 4/7*f**5 = 0. What is f?
-4, 1/2, 1, 3, 4
Let m(p) be the second derivative of 0*p**2 - 33/160*p**5 - 225/112*p**7 - 44*p + 1/4*p**3 - 9/4*p**6 + 5/8*p**4 + 0. What is n in m(n) = 0?
-2/5, -1/3, 0, 1/3
Let k = -3/860 + 1223/104060. Let p = k - -599/726. What is z in 5/3 - p*z**3 + 5/6*z + 5/6*z**4 - 5/2*z**2 = 0?
-1, 1, 2
Factor -132*n**3 - 2408*n**2 - 7068*n + 25136 - 2*n**4 + 10588 - 26114.
-2*(n - 1)*(n + 5)*(n + 31)**2
Let s be (-12)/42*(-3)/(-3 - -6). Let q(p) be the first derivative of 1 + s*p - 2/21*p**3 + 0*p**2. Factor q(w).
-2*(w - 1)*(w + 1)/7
Let z(c) be the third derivative of -c**5/60 - c**3/6 + 3*c**2 + 4*c. Let w(b) = 20*b**2 + 5*b - 15. Let f(r) = w(r) + 15*z(r). Factor f(v).
5*(v - 2)*(v + 3)
Let i(j) be the first derivative of -j**5/5 + 21*j**4/2 + 407*j**3/3 - 12000*j**2 + 23552*j + 570. Factor i(n).
-(n - 32)**2*(n - 1)*(n + 23)
Let q(h) be the first derivative of -20 + 1/50*h**5 + 0*h**3 + 1/10*h**4 - 32*h + 0*h**2. Let r(v) be the first derivative of q(v). Suppose r(u) = 0. What is u?
-3, 0
Let -996*d**4 + 41*d**2 - 2*d**5 + 962*d**4 + 28*d**3 - 34 + 27*d**2 - 24*d**3 - 2*d = 0. Calculate d.
-17, -1, 1
Let -5465/3*x + 7835/6*x**2 - 25/6*x**3 + 520 = 0. What is x?
2/5, 1, 312
Factor 356/17*d - 2/17*d**3 + 240/17 + 114/17*d**2.
-2*(d - 60)*(d + 1)*(d + 2)/17
Let z(v) be the second derivative of v**7/168 + v**6/20 + 9*v**5/80 - v**4/12 - v**3/2 + 3595*v. Factor z(k).
k*(k - 1)*(k + 2)**2*(k + 3)/4
Find u such that 847*u - 54 + 3310*u - 1760*u + 267*u**2 = 0.
-9, 2/89
Factor -2/3*n**4 + 2/3*n**2 - 8/9*n**3 + 7/9*n + 1/9*n**5 + 0.
n*(n - 7)*(n - 1)*(n + 1)**2/9
Let l(b) be the third derivative of -b**8/4032 - b**7/120 + 29*b**6/720 + 59*b**5/180 - 37*b**4/12 + 92*b**3/9 + 1227*b**2 - 2*b. Let l(i) = 0. What is i?
-23, -4, 2
Determine f so that 2/3*f**2 - 1/3*f**5 + f**3 + 0*f**4 + 0 + 0*f = 0.
-1, 0, 2
Factor 2907/4 + 3/4*q**3 + 2901/4*q**2 - 5811/4*q.
3*(q - 1)**2*(q + 969)/4
Suppose -55*w**2 + 9*w**3 + 4980 - 7*w**3 + 211*w**2 + 7116 + w**3 + 2448*w = 0. What is w?
-28, -12
Let a(s) be the second derivative of s**5/5 + 108*s**4 - 872*s**3 + 2624*s**2 - 10057*s. Factor a(y).
4*(y - 2)**2*(y + 328)
Factor -89*u**2 - 4*u**4 + 648*u - 186*u**2 + 95*u**2 - 37*u**3 - 27*u**3.
-4*u*(u - 2)*(u + 9)**2
Let s = -1531 + 1513. Let k(c) = -6*c - 108. Let d be k(s). Factor d*g - 2/25*g**2 + 0.
-2*g**2/25
Let c be ((-249480)/150)/33 - -51. Suppose -c*p**3 + 3*p**2 + 12/5 - 24/5*p = 0. What is p?
1, 2
Let z(s) be the second derivative of s**7/168 + 11*s**6/120 + 43*s**5/80 + 73*s**4/48 + 7*s**3/3 + 2*s**2 - 437*s. Solve z(d) = 0.
-4, -1
Let m(n) = 4*n**3 - 486*n**2 - 10*n - 8. Let w(p) = -21*p**3 + 2431*p**2 + 55*p + 44. Let g(c) = 11*m(c) + 2*w(c). Factor g(b).
2*b**2*(b - 242)
Let r = -1961/266 + 291/38. Factor 8/7 - 10/7*d + r*d**2.
2*(d - 4)*(d - 1)/7
Let s(k) be the second derivative of 0 + 11/21*k**4 + 1/105*k**6 + 4/35*k**5 + 8/7*k**3 + 9/7*k**2 + 193*k. Factor s(u).
2*(u + 1)**2*(u + 3)**2/7
Let j(g) be the second derivative of 0 - 5/2*g**4 + 3/10*g**6 + 21/2*g**3 - 9/10*g**5 - 27/2*g**2 - 42*g + 1/14*g**7. Determine l, given that j(l) = 0.
-3, 1
Factor 3 + 23/6*c**2 + 25/2*c.
(c + 3)*(23*c + 6)/6
Let p(w) be the first derivative of 4*w**5/15 - 31*w**4/12 + 61*w**3/9 - 5*w**2 - 10457. Determine k, given that p(k) = 0.
0, 3/4, 2, 5
Let y(j) be the second derivative of j**6/540 - j**5/135 - j**4/108 + 2*j**3/27 - 51*j**2/2 - 208*j. Let h(s) be the first derivative of y(s). Factor h(u).
2*(u - 2)*(u - 1)*(u + 1)/9
Suppose -161*r + 117 - 117 = -730*r. What is a in -27/4*a - 3*a**3 + r + 63/8*a**2 + 3/8*a**4 = 0?
0, 2, 3
Find p such that 4508*p**4 + 4442*p**2 - 22 + 5098*p**2 + 3766*p**2 - 2762*p**2 + 1920*p - 234 + 13776*p**3 = 0.
-2, -4/7, 2/23
Let i(o) be the third derivative of 0*o + 0*o**3 + 0 - 11/30*o**5 + 1/6*o**4 - 32*o**2. Factor i(t).
-2*t*(11*t - 2)
Let l(q) be the first derivative of -5*q**6/2 + 146*q**5 + 2585*q**4/4 + 280*q**3 - 1550*q**2 - 1040*q - 2239. Let l(k) = 0. What is k?
-2, -1/3, 1, 52
Let i(v) = 22*v**2 + 140*v + 478. Let g(x) = 9*x**2 + 56*x + 191. Let t = -73 - -78. Let s(p) = t*i(p) - 12*g(p). Factor s(f).
2*(f + 7)**2
Let q = 1319 - 1315. Let y(j) be the third derivative of -18*j**2 + 0*j - 1/120*j**6 + 0 - 1/3*j**q + 1/12*j**5 + 2/3*j**3. Factor y(u).
-(u - 2)**2*(u - 1)
Let v(j) = j**2 - 6*j - 11. Let f be v(6). Let p(x) = -21*x**2 - 3*x + 6. Let i(q) = 