erivative of m*l - 1/20*l**4 + 1/30*l**3 + 1/20*l**2 + 19. Solve n(f) = 0.
-1/2, 0, 1
Let y(d) be the second derivative of -3*d**5/140 + 150*d**4/7 - 60000*d**3/7 + 12000000*d**2/7 + 2*d - 135. Factor y(l).
-3*(l - 200)**3/7
Let d be ((-138528)/94276)/(2 + (-16)/7). Factor 0 + d*o - 3/7*o**2.
-3*o*(o - 12)/7
Let x(v) be the third derivative of v**6/300 - 2*v**5/75 - 7*v**4/15 - 32*v**3/15 + 73*v**2 - v. What is m in x(m) = 0?
-2, 8
Let a(x) be the first derivative of x**6/36 + x**5/5 - 11*x**4/24 - 14*x**3/3 - 29*x**2/3 - 8*x + 7217. Solve a(k) = 0 for k.
-6, -2, -1, 4
Find d such that -8/3*d**4 - 464*d - 40/3*d**3 + 384 + 1/3*d**5 + 512/3*d**2 = 0.
-8, 2, 6
Let m(q) = q**2 - 118*q - 351. Let y(d) = 4*d**2 - 592*d - 1756. Let i(v) = -14*m(v) + 3*y(v). Factor i(w).
-2*(w + 3)*(w + 59)
Let i(m) be the second derivative of m**7/560 - m**6/48 - m**5/10 + 3*m**4/4 + 5*m**3/3 + m**2/2 - 26*m. Let r(b) be the second derivative of i(b). Factor r(x).
3*(x - 6)*(x - 1)*(x + 2)/2
Solve 0*w**3 + 54*w - 79*w**2 + 0*w**3 + 162*w**2 + 3*w**3 - 110*w**2 = 0 for w.
0, 3, 6
Suppose -795 = -4*w - 283. Suppose -w = -2*n + 122. Factor 4*f**4 - 15*f**2 + n*f**2 + 52*f**3 + 0*f**2 + 30*f**2 - 196*f.
4*f*(f - 1)*(f + 7)**2
Let k(r) be the second derivative of -7*r**6/50 - 39*r**5/100 - r**4/4 + r**3/10 + 719*r. Factor k(y).
-3*y*(y + 1)**2*(7*y - 1)/5
What is u in -624 - 6171*u**3 + 0*u**4 + 87*u**2 - 3*u**4 - 6174*u**3 + 12198*u**3 + 381*u**2 - 12*u = 0?
-52, -1, 2
Let q = 41/4938 - -57569/4938. Find i, given that -3 + 2/3*i**4 - 13/3*i**3 - 41/3*i**2 - q*i = 0.
-1, -1/2, 9
Let n(c) be the third derivative of -c**5/12 - 1385*c**4/24 + 695*c**3/3 + 3292*c**2. Suppose n(j) = 0. Calculate j.
-278, 1
Suppose 0 = 5*s - 0*s - d + 100, -5*s - d - 90 = 0. Let y(m) = -m**3 - 19*m**2 + 2. Let o be y(s). Factor 2*h - 7 - 6*h**o + 7.
-2*h*(3*h - 1)
Let q = 60 - 56. Let w = -356 + 360. Find l, given that 4/5*l**q + 0 - 8/5*l - 16/5*l**3 + w*l**2 = 0.
0, 1, 2
Let s be (-33)/(-44) - 15/4. Let n be 18/(-30) - 13*s/15. Let 0*i + 2/7*i**n - 5/7*i**3 - i**4 + 0 = 0. What is i?
-1, 0, 2/7
What is h in -4*h**2 + 0 + 0*h + 4/5*h**3 = 0?
0, 5
Let v(n) be the third derivative of -n**7/280 + 2*n**6/5 - 63*n**5/5 - 32*n**4 + 2048*n**3 + 1668*n**2 - 2. Find k such that v(k) = 0.
-4, 4, 32
Let d = 36/4673 + 17280646/14019. Suppose -8/3 + 344/3*r - d*r**2 = 0. What is r?
2/43
Let p(j) be the first derivative of j**5/75 + 13*j**4/5 + 1014*j**3/5 + j**2/2 + 16*j - 121. Let b(x) be the second derivative of p(x). Solve b(h) = 0.
-39
Let m(l) be the first derivative of -16*l**5/55 - 7*l**4/22 + 2*l**3 + 28*l**2/11 - 8*l/11 - 938. Suppose m(v) = 0. Calculate v.
-2, -1, 1/8, 2
Let y be ((-25)/10 - 2)*2/18*-6. Factor 39/4*d**4 + 3/2*d + 0 - 15/4*d**5 - 3/4*d**2 - 27/4*d**y.
-3*d*(d - 1)**3*(5*d + 2)/4
Determine c, given that 4032/5*c + 2/15*c**5 + 6272/15 + 1024/15*c**3 + 6952/15*c**2 - 34/5*c**4 = 0.
-2, -1, 28
Let g(q) = -q**5 + 10*q**4 - 17*q**3 + 6*q**2 + 2. Let u = 117 - 120. Let t(k) = 9*k**4 - 18*k**3 + 6*k**2 + 3. Let x(d) = u*g(d) + 2*t(d). Factor x(n).
3*n**2*(n - 2)*(n - 1)**2
Let y be (-496)/(-4) + -1 + 2. Find l, given that -112*l + 69*l - y*l + 1049 + 2*l**2 + 2479 = 0.
42
What is g in -31 - g**4 + 6*g**4 + 69*g**2 - 92*g - 29 + 62*g**3 + 15 + 1 = 0?
-11, -2, -2/5, 1
Let m(l) be the third derivative of -2*l**7/105 + l**6/2 - 13*l**5/15 - 5*l**4/2 + 28*l**3/3 + 5*l**2 - 74. Factor m(j).
-4*(j - 14)*(j - 1)**2*(j + 1)
Suppose n = -3*n, n = -m. Suppose m = 4*q + 2*v - 82, -5*q + 104 + 5 = -4*v. Let 18 + u**4 + 0*u**4 + q*u**2 + 39*u - 3*u**3 - 4*u**4 = 0. What is u?
-2, -1, 3
Factor 12/5*r**3 + 0*r - 2/5*r**4 - 16/5*r**2 + 0.
-2*r**2*(r - 4)*(r - 2)/5
Let d(s) be the first derivative of 6*s - 9/2*s**2 + 83 + s**3. Determine i so that d(i) = 0.
1, 2
Let s(n) be the second derivative of 5 - 1/50*n**6 + 1/2*n**3 + 3/20*n**4 - 3/100*n**5 + 3/5*n**2 - 18*n. Find f such that s(f) = 0.
-1, 2
Suppose -4*r = -0*z + 3*z - 26, -z = 4*r - 6. Suppose -o + z = o. Factor 6*k**2 - 4*k + 2*k**3 + 21*k**4 + 2*k**o - 20*k**4 - 7*k**4.
2*k*(k - 2)*(k - 1)**2*(k + 1)
Suppose -12160000 = -58*u + 20*u. Factor -3*g**3 + 24000*g + 6*g**3 - u - 600*g**2 + 2*g**3.
5*(g - 40)**3
Factor 115/3*k - 5*k**3 + 1/3*k**4 + 22 + 11*k**2.
(k - 11)*(k - 6)*(k + 1)**2/3
Let p(b) be the second derivative of -b**5/5 + 22*b**4/3 - 74*b**3/3 - 120*b**2 + 3*b + 314. Find m, given that p(m) = 0.
-1, 3, 20
Let z(s) be the second derivative of -s**5/15 - 4*s**4/3 - 14*s**3/3 - 91*s**2/2 + 14*s + 2. Let o(g) be the first derivative of z(g). Solve o(v) = 0 for v.
-7, -1
Let x be 2*(2 + (-12 - (7 - 13))). Let l(w) = 17*w + 150. Let k be l(x). Solve 147*b**2 - 686*b - k*b**3 + 1/2*b**4 + 2401/2 = 0.
7
Let v(y) = -y**2 - y + 58. Let j be v(5). Let t be ((-302)/j - -11)*(50 - 2). Determine p so that -2/7*p**2 - t + 24/7*p = 0.
6
Suppose 4*k = 2*i + 4, 0 = 3*k + 16*i - 14*i - 10. Let m(t) be the first derivative of t**5 + 0*t**k + 0*t + 5/4*t**4 - 10/3*t**3 - 1. What is h in m(h) = 0?
-2, 0, 1
Let r(w) = -8717*w - 95883. Let n be r(-11). Factor 384*d - 4/5*d**n - 180 - 1144/5*d**2 + 128/5*d**3.
-4*(d - 15)**2*(d - 1)**2/5
Let u(x) = 4*x**3 + x**2 + 1. Let o(a) = 7*a**4 + 13*a**3 - 19*a**2 - a + 12. Let l(k) = o(k) - 2*u(k). Factor l(i).
(i - 1)**2*(i + 2)*(7*i + 5)
Let u(q) be the first derivative of 29*q**6/18 - 61*q**5/15 - 287*q**4/6 - 212*q**3/3 + 12*q**2 - 5726. Let u(m) = 0. What is m?
-2, 0, 3/29, 6
Factor -76/3*t - 1/3*t**4 - 44 + 19/3*t**2 + 10/3*t**3.
-(t - 11)*(t - 3)*(t + 2)**2/3
Let f(g) be the third derivative of g**5/150 + 19*g**4/15 + 544*g**3/15 - 7*g**2 - 286*g. Let f(h) = 0. Calculate h.
-68, -8
Let g(w) be the first derivative of w**6/12 - w**5 + 25*w**4/8 + 5*w**3/3 - 25*w**2 - 199*w + 43. Let m(j) be the first derivative of g(j). Solve m(p) = 0.
-1, 2, 5
Suppose 2*g = 19 + 9. Suppose 3*q = 12, -2*q = 3*k - 0*k - g. Suppose 2*x + 0*x**k - 2*x + 3*x - 3*x**2 = 0. Calculate x.
0, 1
Let q(s) be the first derivative of -741/10*s**4 + 0*s - 1/10*s**6 + 2197/10*s**2 - 116/25*s**5 - 2028/5*s**3 + 138. Factor q(h).
-h*(h + 13)**3*(3*h - 1)/5
Suppose 4*k**3 + 7*k**3 + 15*k**2 + 13*k**2 + 1533*k**4 - 1532*k**4 = 0. Calculate k.
-7, -4, 0
Let i(m) be the third derivative of 2*m**2 + 5/36*m**3 + 1/360*m**5 + 1/24*m**4 + 0 - 92*m. Factor i(l).
(l + 1)*(l + 5)/6
Let y(j) be the second derivative of -3*j**5/20 - j**4/3 - j**3/3 - j**2/2 - 51*j - 1. Let x be y(-1). Factor x - 1/4*z**2 + 1/4*z.
-z*(z - 1)/4
Let w(v) be the third derivative of v**7/70 - 113*v**6/40 + 111*v**5/20 + 113*v**4/8 - 56*v**3 + 106*v**2. Suppose w(k) = 0. What is k?
-1, 1, 112
Suppose 79*b = 90*b - 121. Factor 0*k - b*k + 12*k**2 - 11*k**2.
k*(k - 11)
Suppose 5602*f + 4*x + 126 = 5605*f, -f = 5*x + 91. Factor -100/7*n**3 - 53*n**2 - f*n - n**4 + 0.
-n*(n + 7)**2*(7*n + 2)/7
Let b(r) = 5*r**5 - 9*r**4 - 22*r**3 - 2*r**2 + 17*r + 7. Let w(l) = -4*l**5 + 9*l**4 + 22*l**3 + 2*l**2 - 18*l - 8. Let i(x) = 3*b(x) + 4*w(x). Factor i(c).
-(c - 11)*(c - 1)*(c + 1)**3
Factor 117*k**2 - 53*k**3 - 44*k**3 + 145*k**3 - 4368*k - 27040 + 81*k**2 - 50*k**3.
-2*(k - 52)**2*(k + 5)
Solve -57 + 25/2*m - 1/2*m**3 + 9*m**2 = 0 for m.
-3, 2, 19
Let y be -12*(24/(-90) - 3/(-30)). Suppose 0 = a - k - 6, 7*a - 8*a - y = 3*k. Factor 0*r - a*r**3 + 0 + 8/7*r**2.
-4*r**2*(7*r - 2)/7
Let z(s) be the first derivative of -68/3*s**3 + 8*s**4 - 4/5*s**5 + 20*s**2 + 0*s - 210. Factor z(a).
-4*a*(a - 5)*(a - 2)*(a - 1)
Let u(l) be the first derivative of 5*l**4/4 - 15*l**3 + 24*l**2 + 11*l + 48. Let r(c) = -c**3 + 9*c**2 - 10*c - 2. Let g(i) = -22*r(i) - 4*u(i). Factor g(p).
2*p*(p - 7)*(p - 2)
Let z be (-34)/(-8) - 2/8. Suppose 5*s + 1 = p + 13, 0 = -4*s - p + 6. What is b in -b**3 + 0*b**2 - 2*b**s + 3*b + b**2 + b + z = 0?
-2, -1, 2
Let 2/3*i**4 + 1/9*i**5 + 2/3*i**2 + 11/9*i**3 + 0*i + 0 = 0. Calculate i.
-3, -2, -1, 0
Let b(q) be the second derivative of -q**4/18 - 151*q**3/3 - 452*q**2/3 - 57*q + 2. Factor b(r).
-2*(r + 1)*(r + 452)/3
Let k(c) be the third derivative of c**6/96 + 7*c**5/12 - 155*c**4/24 + 80*c**3/3 - 987*c**2. Let k(s) = 0. What is s?
-32, 2
Find v, given that 64*v - 48*v**3 + 3506*v**2 - 1762*v**2 + 4*v**5 - 1760*v**2 - 4*v**4 = 0.
-2, 0, 1, 4
Let p(k) be the second derivat