Factor l(j).
j**2*(j + 8)**2/3
Let o(v) be the first derivative of -v**3/3 - 9*v**2/2 - 20*v - 356. Find p such that o(p) = 0.
-5, -4
Let v(k) be the second derivative of 8*k + 5/3*k**3 - 2*k**2 + 0 - 2/3*k**4 + 1/10*k**5. Factor v(g).
2*(g - 2)*(g - 1)**2
Let h(q) = 3*q**4 + 3*q**3 + 30*q**2 - 12*q - 36. Let d(y) = y**4 + y**3 - y**2 + 2. Let r(c) = -6*d(c) + h(c). Let r(z) = 0. What is z?
-4, -1, 2
Let s(x) = -4*x**3 + x**2 + 2*x + 1. Let h = 14 + -15. Let y be s(h). Factor -150*n**2 + 0*n**4 + 152*n**2 + 2*n**5 - n**5 - 2*n**y - n.
n*(n - 1)**3*(n + 1)
Let o = 115/114 + 28/57. Let s(b) be the first derivative of o*b**2 + 2/3*b**3 - 3/4*b**4 + 3 - 2*b. What is x in s(x) = 0?
-1, 2/3, 1
Let o be (-14332)/(-24) + (0 - 2/12). Solve 597 - o + 25*n**2 + 5*n**3 + 30*n = 0 for n.
-3, -2, 0
Let o(c) be the third derivative of -c**7/42 + c**6/4 + 11*c**5/12 - 25*c**4/2 - 250*c**3/3 + 621*c**2. Solve o(t) = 0 for t.
-2, 5
Factor -3/2*v**2 - 6*v + 0.
-3*v*(v + 4)/2
Factor 10*x + 10887 + x**3 - x**4 - 12*x**2 + 5*x**3 - 10890.
-(x - 3)*(x - 1)**3
Suppose 5*j = 14 + 6. Suppose 0 = -15*r + 4 - j. Factor r - 1/4*h**2 - 1/4*h**4 + 0*h + 1/2*h**3.
-h**2*(h - 1)**2/4
Let k = 7 - 11. Let x be 4/1 - (4 + 2 + k). Factor -n**3 + 0 + 1/3*n**x + 2/3*n.
-n*(n - 1)*(3*n + 2)/3
Let b(g) = -28*g**4 + 193*g**3 - 285*g**2 - 4*g + 16. Let z(p) = p**3 + 1. Let k(i) = -b(i) - 4*z(i). Determine r so that k(r) = 0.
-1/4, 2/7, 2, 5
Let s(x) = 3*x**5 - 4*x**3 + x. Let o = 22 + -24. Let j(y) = 4*y**5 - 4*y**3 + y**2 - 1. Let g(l) = o*j(l) + 3*s(l). Determine m so that g(m) = 0.
-1, 1, 2
Let o(g) be the first derivative of -2*g**3/3 - 25*g**2 - 168*g + 660. Solve o(n) = 0.
-21, -4
Let z be (-28)/42*-3*2. Let j be 5 - (-1 - z - -10). Factor 6/11*q**3 + j - 2/11*q**2 - 4/11*q.
2*q*(q - 1)*(3*q + 2)/11
Let k be (-3)/12 - 2/(-8). Suppose 2*l + 10 = -4*j, -l + 0*j + 20 = -3*j. Find q, given that 0 + 9*q - 4*q + l*q**2 + k = 0.
-1, 0
Let q = -16067 + 16069. Factor 0*t + 1/4*t**4 - 3/4*t**q + 0 - 1/2*t**3.
t**2*(t - 3)*(t + 1)/4
Factor 0 + 383/3*j**2 + 128/3*j - j**3.
-j*(j - 128)*(3*j + 1)/3
Let v = -120 - -141. Suppose -20*p = -v*p + 2. Solve -2/3*o**3 + 2/3*o + 0 + 0*o**p = 0 for o.
-1, 0, 1
Let h(b) be the third derivative of b**9/9072 + b**8/5040 - b**7/1260 - 11*b**3/6 - 4*b**2. Let p(t) be the first derivative of h(t). Factor p(z).
z**3*(z - 1)*(z + 2)/3
Let v = 90 - 90. Let g(j) be the second derivative of v - 2*j - 1/28*j**4 + 1/7*j**3 + 0*j**2. Factor g(w).
-3*w*(w - 2)/7
Factor 2 - 6/7*o**2 + 1/7*o**3 - 9/7*o.
(o - 7)*(o - 1)*(o + 2)/7
Let d(r) = 2*r**3 + 14*r**2 + r + 11. Let t be d(-7). Factor -6*w**4 + 32*w**3 + 40*w + 50*w**2 + w**t - 27*w**3.
-5*w*(w - 4)*(w + 1)*(w + 2)
Let h(u) be the first derivative of -u**5/15 - 5*u**4/36 - u**3/18 + 4*u - 11. Let l(x) be the first derivative of h(x). Factor l(d).
-d*(d + 1)*(4*d + 1)/3
Let v(d) be the third derivative of -d**6/420 - d**5/42 + d**4/3 + 32*d**3/21 + 406*d**2. What is l in v(l) = 0?
-8, -1, 4
Let h(d) = -3*d**3 - 2*d. Let v(o) = 2*o + 7 + 3*o**3 - o**3 - 7. Let z(f) = -f**3 - 8*f**2 - f - 4. Let n be z(-8). Let a(s) = n*h(s) + 5*v(s). Factor a(j).
-2*j*(j - 1)*(j + 1)
Let h be (-5 + 267/54)/(5/(-15)). Let w(f) be the second derivative of -1/10*f**5 + 1/30*f**6 - 1/6*f**4 + 1/42*f**7 + 0 + 1/2*f**2 + f + h*f**3. Factor w(r).
(r - 1)**2*(r + 1)**3
Let x(d) be the third derivative of d**5/30 - 8*d**4/3 + 256*d**3/3 + 36*d**2 - d. Factor x(u).
2*(u - 16)**2
Let t(s) be the third derivative of 1/315*s**7 + 0*s**5 + 0*s + 17*s**2 - 1/180*s**6 + 0*s**4 + 0 + 0*s**3. Let t(n) = 0. Calculate n.
0, 1
Let c(a) be the second derivative of -1/2*a**2 + 1/120*a**6 + 1/16*a**4 - 1/6*a**3 + 1/20*a**5 - 8*a - 2. Let c(y) = 0. Calculate y.
-2, -1, 1
Let z be 58/6 - (0 - 4/12). Factor -30*x**4 + 40*x**4 + 5*x + 0*x**5 + 0*x**5 - 5*x**5 - z*x**2.
-5*x*(x - 1)**3*(x + 1)
Let t(h) = -h**2 - 13*h - 9. Let d be t(-9). Let y be d/(-9) + 0 + 193. Solve 107*i - 20 + y*i**3 - 53*i - 40*i**4 - 285*i**2 + 86*i = 0 for i.
1/4, 1/2, 2
Suppose 0 = -67*s + 59*s. Let b(y) be the first derivative of s*y + 5 + 1/10*y**5 - 1/3*y**3 + 0*y**2 - 1/8*y**4. Find o such that b(o) = 0.
-1, 0, 2
Let n(r) = -r**2. Let f(o) be the first derivative of -7 - 2/3*o**3 + 1/4*o**4 + 0*o**2 + 0*o. Let b(y) = f(y) - 3*n(y). Factor b(p).
p**2*(p + 1)
Let a = 438 + -438. Let g = 18/17 - 56/85. What is h in -g*h**3 + 0 + a*h - 2/5*h**2 = 0?
-1, 0
Factor -12*g**4 - 1308*g**2 - 9408 - 16*g**4 - 108*g**3 + 32*g**4 - 6048*g - 7*g**4.
-3*(g + 4)**2*(g + 14)**2
Suppose -5*b - 5 = 0, k = 5*k + 5*b - 7. Let n(h) be the first derivative of 21/4*h**2 - 7 - 3/2*h**3 - k*h. Factor n(u).
-3*(u - 2)*(3*u - 1)/2
Let l(w) be the second derivative of 1/4*w**4 + 2*w**3 + 0 + 1/80*w**5 - 8*w + 8*w**2. Factor l(y).
(y + 4)**3/4
Let z(a) be the first derivative of -a**7/70 + 3*a**6/25 - 9*a**5/25 + 2*a**4/5 - 16*a - 12. Let k(x) be the first derivative of z(x). Factor k(s).
-3*s**2*(s - 2)**3/5
Suppose 5*l - 4*q - 4 = -0*l, 3*l - 3*q = 3. Suppose -3 = -5*b - 5*p + 17, l = 2*b + 4*p - 12. Factor 0*c - 2/3*c**3 + 2/3*c**5 - 2/3*c**4 + 0 + 2/3*c**b.
2*c**2*(c - 1)**2*(c + 1)/3
Let b(z) be the first derivative of 3*z**5/16 + 5*z**4/12 + 5*z**3/24 - 2*z - 21. Let c(h) be the first derivative of b(h). Determine i, given that c(i) = 0.
-1, -1/3, 0
Let c be 1*(-4)/8*1*0. Let n(i) be the first derivative of 3/2*i**3 - 3 - 6*i - 3/8*i**4 + c*i**2. Factor n(o).
-3*(o - 2)**2*(o + 1)/2
Let t(q) be the second derivative of q**6/135 + 11*q**5/45 + 26*q**4/9 + 410*q**3/27 + 275*q**2/9 + q + 125. Find a such that t(a) = 0.
-11, -5, -1
Let t(h) be the third derivative of -h**6/660 + h**5/110 - 4*h**3/33 + 87*h**2. Factor t(z).
-2*(z - 2)**2*(z + 1)/11
Let f(n) be the third derivative of -17*n**2 + 1/6*n**6 + 0*n**3 + 2/3*n**4 + 0 - 4/5*n**5 + 0*n. Suppose f(i) = 0. Calculate i.
0, 2/5, 2
Factor -8200*d - 205*d**3 - 4000 - 8805/2*d**2 - 5/2*d**4.
-5*(d + 1)**2*(d + 40)**2/2
Let r(z) be the second derivative of -2*z + 3/4*z**5 + 2/3*z**6 + 5/42*z**7 - 10/3*z**3 - 5/3*z**4 + 0*z**2 + 0. Factor r(l).
5*l*(l - 1)*(l + 1)*(l + 2)**2
Suppose l + w - 10 = 0, -w + 2 - 1 = 0. Suppose -2*d**3 + l*d - 9*d - 2*d**5 - 4*d**4 = 0. Calculate d.
-1, 0
Let j be -4 - 27*(-210)/1418. Let m = j + 8513/3545. Solve m*y**2 + 0 + 8/5*y = 0.
-2/3, 0
Let t = -5/83 + 2266/415. Let b be 6/10*(-1 + -1 + 3). Factor -b*u**2 + 18/5*u - t.
-3*(u - 3)**2/5
Let c(w) = w**2 - 19*w + 28. Let f be c(18). Let 2*m**4 + f*m**2 - 10*m**2 - 4*m**2 + 2*m**4 + 4*m - 4*m**3 = 0. What is m?
-1, 0, 1
Let t = 89 - 86. Suppose 0 = 3*k + 2*k - t*s + 2, -3*k - s + 10 = 0. Factor -1/2*p**k + 0 + 1/2*p.
-p*(p - 1)/2
Let k(u) be the first derivative of 4*u**5/5 + 5*u**4 - 20*u**3/3 - 90*u**2 - 144*u - 136. Determine t, given that k(t) = 0.
-4, -3, -1, 3
Let b be 35/(-100)*(-4)/14. Let u(o) be the first derivative of -b*o**5 + 0*o + 1/12*o**6 + 0*o**2 + 2 - 1/8*o**4 + 1/6*o**3. Factor u(n).
n**2*(n - 1)**2*(n + 1)/2
Let y(f) be the second derivative of f**4/36 - 11*f**3/18 + 14*f**2/3 + 166*f. Factor y(g).
(g - 7)*(g - 4)/3
Find d, given that -5/2*d**4 + 1/2*d**3 - 11/8*d**5 + 11/4*d**2 - 1/4 + 7/8*d = 0.
-1, 2/11, 1
Let h = -9554/63 - -1478/9. Factor -4 + h*p - 12/7*p**2.
-4*(p - 7)*(3*p - 1)/7
Let h(p) be the second derivative of -p**5/60 + p**4/2 - 6*p**3 + 36*p**2 + 115*p. Solve h(t) = 0 for t.
6
Factor -20/7 - 8/7*t + 11/7*t**2 - 1/7*t**3.
-(t - 10)*(t - 2)*(t + 1)/7
Let g(f) be the first derivative of 2*f**5/5 - 17*f**4/8 + 8*f**3/3 - 3*f**2/4 + 110. Factor g(s).
s*(s - 3)*(s - 1)*(4*s - 1)/2
Let r(h) be the first derivative of 2*h**4/5 + 22*h**3/3 - 14*h**2/5 + 1. Factor r(x).
2*x*(x + 14)*(4*x - 1)/5
Suppose -88 = -4*j + 8. Suppose -17*o**3 + 17*o**2 - j*o**4 - 15*o**5 + 14*o**3 - 11*o**2 = 0. What is o?
-1, 0, 2/5
Let d(p) be the third derivative of p**7/15 - 3*p**6/20 - p**5/6 + 3*p**4/4 - 2*p**3/3 + 72*p**2. Factor d(a).
2*(a - 1)**2*(a + 1)*(7*a - 2)
Let v(d) be the third derivative of -d**5/48 - 5*d**4/12 - 10*d**2 - 6. Factor v(n).
-5*n*(n + 8)/4
Suppose -10 = -4*n + 10. Let z(s) = s - 3. Let b be z(n). Determine v so that 2*v**4 + 3*v**2 + b*v - 2*v**5 + v**3 + 0*v - 5*v**4 - v = 0.
-1, -1/2, 0, 1
Let r be 138/48 + 1/8. Let k(m) be the second derivat