**2 - 14*t + 32. Let a be z(22). Factor a + 16*m + 40*m**2 - 18*m**4 + 12*m**3 - 2144.
-2*m*(m - 2)*(3*m + 2)**2
Let x(p) be the first derivative of -p**3/6 - 577*p**2 - 665858*p - 10671. Find d such that x(d) = 0.
-1154
Let n(t) = 3*t**2 - 78*t + 513. Suppose -13 = -10*z + 37. Let q(r) = 6*r**2 - 156*r + 1024. Let i(u) = z*n(u) - 3*q(u). Determine p, given that i(p) = 0.
13
Let g(d) be the second derivative of 1/5*d**5 + 0*d**4 + 50*d - 8/3*d**3 + 0*d**2 + 0. Find k such that g(k) = 0.
-2, 0, 2
Let f(m) be the first derivative of 16/5*m**5 - 9*m**4 - 1/3*m**6 + 0*m + 0*m**3 + 199 + 27*m**2. Let f(a) = 0. What is a?
-1, 0, 3
Let d(x) = -3*x**2 - 16*x - 1. Let p(t) = t**3 - 696*t**2 - 2772*t - 2866. Let y(k) = -6*d(k) - p(k). Determine r, given that y(r) = 0.
-2, 718
Let u(v) be the third derivative of v**5/60 + 7*v**4/24 + v**3/2 - 18*v**2. Let o be u(-7). Suppose -25*d**2 + 5*d**o + 38 - 38 + 30*d = 0. Calculate d.
0, 2, 3
Let o(j) = 6*j**3 + 229*j**2 + 472*j + 148. Let a be o(-36). Suppose 10/3*h**3 + 0 - a*h**2 + 0*h = 0. Calculate h.
0, 6/5
Let d(c) = -c + 262. Let q be d(8). Let l = 254 - q. Factor l + 1/2*m**3 + 2*m + 2*m**2.
m*(m + 2)**2/2
Let l(k) be the second derivative of 1/7*k**2 + 5/42*k**3 + 0*k**4 - 1/28*k**5 + 0 - 1/105*k**6 - 19*k. Solve l(y) = 0.
-2, -1, -1/2, 1
Solve -2/11*u**2 + 52/11*u - 96/11 = 0 for u.
2, 24
Let f be 9/((-5)/(-2) + -1). Suppose 0 = -f*t + 9*t. Factor -1/2 + b - b**3 + 1/2*b**4 + t*b**2.
(b - 1)**3*(b + 1)/2
Let v be 116/7830*54*45/84. Factor -v*k**2 - 9/7*k + 120/7.
-3*(k - 5)*(k + 8)/7
Solve -113/4*f**2 + 3249/4 - 1/4*f**3 - 3135/4*f = 0.
-57, 1
Let b = 765/1474 + -14/737. Let u(t) be the first derivative of 2*t - 2/3*t**3 - b*t**2 + 1/4*t**4 + 7. Find k such that u(k) = 0.
-1, 1, 2
Determine y, given that -417*y**2 - 225*y - 398*y**2 + 140*y**3 + 50*y**4 + 5*y**5 - 397*y**2 + 1242*y**2 = 0.
-5, -3, 0, 1
Let a(j) = -3*j - 1. Let u be a(-1). Let x(i) = 13*i - 31. Let w be x(3). Find r such that -12*r**4 - 16 + w*r**3 - 7*r**2 + 37*r**u + 6*r**2 = 0.
-1, 2/3, 2
Let m = -55791/2 + 27896. Factor -3*l + 9/4 + l**3 + 1/4*l**4 - m*l**2.
(l - 1)**2*(l + 3)**2/4
Suppose 192*l + 533*l = 0. Find v such that 0*v**2 + 8/7*v**4 + 0 + 0*v**3 - 2/7*v**5 + l*v = 0.
0, 4
Let j be 9/5 + 3204/(-1780). Let 12*h**4 + j + 24*h**2 - 3/2*h**5 - 15/2*h - 27*h**3 = 0. Calculate h.
0, 1, 5
Let g(f) be the second derivative of -f**7/105 + f**6/25 + 79*f**5/50 + 103*f**4/10 + 30*f**3 + 216*f**2/5 + 5737*f. Solve g(b) = 0 for b.
-3, -2, -1, 12
Let z be (-257526)/5522 + 3 + 44. Solve z*v**3 + 10/11*v**2 + 6/11*v + 0 = 0 for v.
-3/2, -1, 0
Let x(z) be the first derivative of -z**6/360 + z**5/30 + 5*z**4/24 - 59*z**3/3 + 39. Let l(v) be the third derivative of x(v). Factor l(n).
-(n - 5)*(n + 1)
Factor -2465/2*o + 5/2*o**2 - 1235.
5*(o - 494)*(o + 1)/2
Determine j, given that -30*j**2 + 20*j + 20*j - 5*j**4 + 0 - 3 + 1177*j**3 + 38 - 1217*j**3 = 0.
-7, -1, 1
Let p(b) = b - 1. Suppose -d + 3 = 2*d. Let c(z) = 6*z**3 - 3*z**2 - 22*z + 10. Let l(s) = d*c(s) - 2*p(s). Find i, given that l(i) = 0.
-2, 1/2, 2
Let a(x) be the first derivative of -x**4 - 72*x + 16/3*x**3 - 74 + 6*x**2. What is k in a(k) = 0?
-2, 3
Let s = 4595 + -4593. Let o(a) be the second derivative of 0*a**3 + 1/10*a**5 + 0*a**s + 0 - 13*a + 5/6*a**4. Factor o(j).
2*j**2*(j + 5)
Suppose -13*z - 14 = z - 70. Let q(c) be the first derivative of 6 + 4/3*c**3 + c**4 - 2*c**2 - z*c. Solve q(m) = 0 for m.
-1, 1
Let b(s) be the first derivative of -s**5/25 + 53*s**4/10 - 103*s**3/5 + 7184. Let b(z) = 0. Calculate z.
0, 3, 103
Let c(i) be the second derivative of 1442897*i**7/42 - 1327976*i**6/15 - 22374*i**5 - 2016*i**4 - 72*i**3 - 35*i + 1. Suppose c(k) = 0. Calculate k.
-6/113, 0, 2
Let c be (-13)/(-78)*-4*-1. Let l(q) be the second derivative of -c*q**3 + 2/3*q**2 - 19*q - 1/15*q**5 + 0 + 1/3*q**4. Solve l(a) = 0 for a.
1
Let c(j) = 35577455*j**2 - 130645*j + 225. Let l(p) = -5929575*p**2 + 21774*p - 38. Let k(o) = -6*c(o) - 35*l(o). Factor k(i).
-5*(1089*i - 2)**2
Let d(w) = w**2 + 3*w - 1. Let s be d(-4). Let u = 11/145 - -213/1015. Factor 0*t**s + 0 + 2/7*t + 4/7*t**2 - 4/7*t**4 - u*t**5.
-2*t*(t - 1)*(t + 1)**3/7
Let r(p) be the first derivative of -2*p**3/3 + 196*p**2 - 390*p - 1607. Factor r(h).
-2*(h - 195)*(h - 1)
Let h(n) = n**3 - 5*n**2 - 4*n + 38. Let m be h(3). Let u be ((-2)/m)/(11/(-44)). Determine g so that -13/3*g**2 + 5/3*g**3 + 11/3*g - u = 0.
3/5, 1
Let j(d) be the third derivative of d**6/120 + 51*d**5/10 + 2601*d**4/2 + 176868*d**3 + 22*d**2 - 18*d. Let j(y) = 0. What is y?
-102
Let t(f) = f**3 - 2*f**2 - 32*f - 16. Let q be t(7). Let -12224*i - q*i**3 - 3*i**4 + i**5 + 12248*i + 23*i**2 - 43 - 4*i**3 + 7 = 0. Calculate i.
-2, 1, 3
Let c(t) = -t**3 + 24*t**2 - 16*t + 50. Let s be c(20). Determine h so that 663*h + 662*h - s*h - 5*h**2 = 0.
-1, 0
Let i = -41211 - -41213. Factor 14/5*t**i - 24/5*t - 8/5.
2*(t - 2)*(7*t + 2)/5
Let i(z) be the third derivative of -z**8/1512 - 2*z**7/315 + z**6/180 + 8*z**5/135 - z**4/9 - z**2 - 490. Suppose i(t) = 0. Calculate t.
-6, -2, 0, 1
Let o = 100 + -90. Suppose -21*v + o*v = -99. Factor -3*q**2 + 3*q**3 - 8*q**3 + v*q + 2*q**3 - 3*q**4 - 6*q**3 + 6.
-3*(q - 1)*(q + 1)**2*(q + 2)
Let g = 416930/9 + -833857/18. Let o(c) = -c + 4. Let z be o(4). Find w such that -g*w**3 + z + 2/3*w + 0*w**2 = 0.
-2, 0, 2
Let s(h) = 1040*h - 12480. Let w be s(12). Factor 2/3*l**3 - 4/3*l + 2/3*l**2 + w.
2*l*(l - 1)*(l + 2)/3
Let r be 3 + (525/5)/1. Suppose -23*w + 14*w = -r. Factor -5*f - 4*f + 0*f + 0*f + 3*f**2 - w.
3*(f - 4)*(f + 1)
Let z(h) be the second derivative of 4/3*h**3 - 2/5*h**5 - 6*h**2 + 0 - 10*h + 4/3*h**4 - 2/15*h**6. Solve z(q) = 0 for q.
-3, -1, 1
Suppose 17*u - 109*u = 0. Let s(b) be the third derivative of u*b**4 + 0 - 2*b**2 + 0*b + 0*b**5 + 0*b**6 + 1/1155*b**7 + 0*b**3 - 1/1848*b**8. Factor s(r).
-2*r**4*(r - 1)/11
Suppose 2/9*m**4 - 46*m - 286/9*m**2 - 20 - 50/9*m**3 = 0. What is m?
-3, -1, 30
Let g(z) = 3 + z - 2 - 5*z + 0*z**3 - 2*z**3 + 6*z**2 - z**2. Let x be g(1). Solve -4/11*m + x + 2/11*m**2 = 0.
0, 2
Let r(j) be the first derivative of -25*j + 1/16*j**4 - 1/12*j**3 - 1/80*j**5 - 21 + 0*j**2. Let d(m) be the first derivative of r(m). Factor d(w).
-w*(w - 2)*(w - 1)/4
Let q = -294 + 3240/11. Let y be (678/(-69))/(-2) - 60/10350*-15. What is j in 6/11*j**4 + 18/11*j**3 - q*j**y - 12/11*j - 6/11*j**2 + 0 = 0?
-1, 0, 1, 2
Suppose -5*j = 5*m - 10, 0 = -11*m + 8*m. Solve 16 - 3529*g**5 + 1943*g**5 + 292*g**3 + 996*g**4 - 48*g + 2126*g**5 - 228*g**j = 0 for g.
-1, -2/5, 2/9, 1/3
Let x(u) = -u**3 - 6*u**2 - 12*u + 16. Let s(w) = -4*w**3 - 18*w**2 - 40*w + 44. Let o(h) = -2*s(h) + 7*x(h). Determine t, given that o(t) = 0.
-2, 2, 6
Let t = -6631 - -59771/9. Let c = -10 + t. Let 4/3 - 2/9*m - c*m**2 = 0. What is m?
-3, 2
Suppose 2*a = -4 - 2, 5*a = 2*r + 109. Let y be (2 + 6)*(-31)/r. Factor 8/13*q**y - 2/13*q**5 - 2/13*q - 12/13*q**3 + 0 + 8/13*q**2.
-2*q*(q - 1)**4/13
Let f(n) be the third derivative of -n**5/20 + n**4/2 - 2760*n**2. Factor f(t).
-3*t*(t - 4)
Suppose -4*o + 2*t = -12, -5*o - 10*t = -5*t. Solve 48 + 43*z**o + 174*z + 45*z**2 - 20*z**2 + 9*z**3 + 25*z**2 = 0.
-8, -2, -1/3
Suppose 17*d - 22 = 165. Suppose -d*g - 20 = -64. Find r, given that -3/5*r**3 + 0 + 0*r**2 + 1/5*r**g + 4/5*r = 0.
-1, 0, 2
Let w = 84528 + -169043/2. Factor -3/2*j - w*j**2 - 2*j**3 + 0.
-j*(j + 3)*(4*j + 1)/2
Let y(u) be the first derivative of 7*u**3/3 + 27*u**2 + 726*u + 68. Let v(m) = -2*m**2 + 1. Let f(d) = 12*v(d) + 4*y(d). Determine k so that f(k) = 0.
-27
Factor 115 + 105 - 208 - 3956*v**2 + 1353*v + 2591*v.
-4*(v - 1)*(989*v + 3)
Let -6005292339*t - 1632*t**3 - 6*t**4 + t**4 - 14073*t**3 - 16443135*t**2 + 266638224*t = 0. Calculate t.
-1047, 0
Let v(q) be the second derivative of -q**6/60 + 7*q**5/20 + 61*q**4/24 - 85*q**3/6 + 17*q - 3. Solve v(n) = 0.
-5, 0, 2, 17
Let f = -523223/2 + 261612. Solve f*j**4 - 4*j**2 + 3*j**3 - 3*j + 7/2 = 0 for j.
-7, -1, 1
Let d = 30 + -34. Let o(v) = 3*v**2 + 6*v - 3. Let z be o(d). Suppose 12 + 9*g**4 - z*g**2 - 3*g**5 + 221*g**3 + 222*g**3 - 440*g**3 = 0. Calculate g.
-1, 1, 2
Let -1498/5 + 40*j + 2/5*j**2 = 0. What is j?
-107, 7
Let z be (-3)/12 + (-52)/12*(-531)/708. Let f be (-1)/(