/7*h.
-(h - 1)**3*(h + 1)**2/7
Let w(m) = 11*m**3 + 21*m**2 + 41*m + 19. Let u(v) = 14*v**3 + 22*v**2 + 42*v + 19. Let y(x) = -4*u(x) + 5*w(x). Solve y(l) = 0 for l.
-1, 19
Let q(k) be the first derivative of 0*k + 2/15*k**3 + 2*k**2 - 4 - 1/12*k**4 + 1/150*k**5 + 1/150*k**6. Let w(z) be the second derivative of q(z). Factor w(m).
2*(m - 1)*(m + 2)*(2*m - 1)/5
Suppose 0 = 3*k + 4*i - 40, -4*k - i + 37 = -k. Suppose -o = -4*z + k, -z + 6*z - 2 = -2*o. What is g in 1/2*g**z - 1/4*g - 1/4*g**3 + 0 = 0?
0, 1
Let u = -53 + 76. Suppose -20*r + u = -17. Factor 4/7*t**3 + 4/7*t - 8/7*t**r + 0.
4*t*(t - 1)**2/7
Let r(w) be the third derivative of 1/24*w**6 + 1/3*w**5 + 5/24*w**4 + 0*w + 0 - 1/7*w**7 - 9*w**2 + 0*w**3. Let r(o) = 0. Calculate o.
-1/2, -1/3, 0, 1
Factor -192 + 75*s**3 - 42*s**4 - 321*s + 81*s + 19*s**4 + 60*s**2 - 7*s**4 + 3*s**5.
3*(s - 4)**3*(s + 1)**2
Let u be 1337 - (-2 - 1 - -7). Determine p so that 3*p**4 - 1337*p - 2*p**4 - 7*p**2 + u*p - 2*p**3 = 0.
-1, 0, 4
Suppose l - 223 = 290. Factor 4*w**3 - 513 + l.
4*w**3
Let b(j) be the second derivative of j**6/6 + j**5/2 + 5*j**4/12 - 5*j - 5. Solve b(y) = 0 for y.
-1, 0
Let i = 1237 + -1235. Let t(o) be the first derivative of 67/4*o**4 - 4*o - 8*o**i + 10 - 119/5*o**5 + 23/3*o**3 + 49/6*o**6. Factor t(n).
(n - 1)**3*(7*n + 2)**2
Let r(m) = -m**2 + 1. Let l = 29 - 22. Let t(g) = -2*g**2 + 2. Let n(f) = l*r(f) - 5*t(f). Find p such that n(p) = 0.
-1, 1
Let o(d) be the first derivative of -d**5/25 - d**4/5 - 2*d**3/15 + 2*d**2/5 + 3*d/5 - 125. Factor o(w).
-(w - 1)*(w + 1)**2*(w + 3)/5
Let s(z) be the third derivative of -3*z**4 - 32*z**2 - 7/60*z**6 - 8/3*z**3 - z**5 + 0 + 0*z. Factor s(k).
-2*(k + 2)**2*(7*k + 2)
Suppose 0 = -3*f + 2*i, 3*f = 4*f + 5*i - 34. Solve 16/3*q - 36*q**2 + 16/3 + 104/3*q**3 - 28/3*q**f = 0 for q.
-2/7, 1, 2
Let m be 1 - (-6)/(30/175). Factor 2*c**2 - 39 + 0*c**2 - m + 73.
2*(c - 1)*(c + 1)
Let u = 15 - -8. Let o = u + -19. Factor 3*m**3 - 9*m**2 + 2*m**4 + 6 + 2*m**o + 4*m - m**4 - 7*m.
3*(m - 1)**2*(m + 1)*(m + 2)
Let y = 16 - 11. Factor -4*x**3 - 4*x**4 + x**5 + 0*x**4 + y*x**4 - x**2 + 3*x**3.
x**2*(x - 1)*(x + 1)**2
Let s(r) be the first derivative of r**6/40 - 3*r**5/20 + 3*r**2 - 12. Let j(m) be the second derivative of s(m). Find v, given that j(v) = 0.
0, 3
Let c(h) be the third derivative of -h**5/30 + h**4 - 11*h**3/3 - 77*h**2 - h. Factor c(w).
-2*(w - 11)*(w - 1)
Let p(r) be the second derivative of r**6/90 + r**5/20 - 19*r**4/36 - 29*r**3/6 - 15*r**2 + 2*r + 77. Let p(n) = 0. What is n?
-3, -2, 5
Let q(p) be the second derivative of p**5/40 + p**4/24 - p**3/12 - 2*p**2 + p. Let t(a) be the first derivative of q(a). Factor t(j).
(j + 1)*(3*j - 1)/2
Let 12/7*d - 8/7*d**2 + 10/7 - 2/7*d**4 - 12/7*d**3 = 0. What is d?
-5, -1, 1
Let r(z) be the second derivative of -5*z**4/12 - 170*z**3/3 - 2890*z**2 - 128*z. Factor r(k).
-5*(k + 34)**2
Let j be (-3102)/(-470)*(-12)/(-33). Factor 2/5*l**2 + 2 + j*l.
2*(l + 1)*(l + 5)/5
Suppose -23*q - 3 = -24*q. Factor -42*p**2 + p**3 + 6*p**3 + 24*p - 5*p**3 + 7*p**q.
3*p*(p - 4)*(3*p - 2)
Let w = -326 - -331. Let h(m) be the second derivative of -1/14*m**3 + 0 - 3/28*m**4 + 5*m - 1/70*m**6 + 0*m**2 - 9/140*m**w. Let h(y) = 0. What is y?
-1, 0
Let m be (-13 - -3) + 36/3. Factor 3/5*f**3 + 3/5 - 3/5*f - 3/5*f**m.
3*(f - 1)**2*(f + 1)/5
Let i = -12319/4 + 3080. Let 0*r + 0 + i*r**2 = 0. What is r?
0
Let x(o) be the second derivative of -o**6/105 - 13*o**5/70 - 8*o**4/7 - 12*o**3/7 - 25*o. Let x(y) = 0. Calculate y.
-6, -1, 0
Let n(y) be the third derivative of -y**5/540 + 7*y**4/108 + 2*y**2 - 11. Determine k so that n(k) = 0.
0, 14
Let v(q) be the first derivative of -5*q**4/12 - 5*q**3/6 + 5*q**2 - 14*q - 5. Let i(k) be the first derivative of v(k). Factor i(x).
-5*(x - 1)*(x + 2)
Let y be (6/40)/(24/16). Let x(k) be the first derivative of 1/2*k + y*k**5 + k**2 + 1/2*k**4 + 4 + k**3. What is o in x(o) = 0?
-1
Let l(u) be the first derivative of 5*u**3/3 + 45*u - 52. Let b(t) = -t**2 - 11. Let q(c) = -26*b(c) - 6*l(c). Find x such that q(x) = 0.
-2, 2
Let l be (-12042)/(-14049)*-1*2/(-3). Find s, given that -6/7*s - l - 2/7*s**2 = 0.
-2, -1
Let m(y) = -4*y - 8. Let j be m(-3). Let v(z) = -8*z**2 + 20. Let d(f) = f**2 - f + 1. Let w(a) = j*d(a) + v(a). Determine k so that w(k) = 0.
-3, 2
Let a(p) be the first derivative of -48 + 3/2*p**2 + 1/6*p**3 + 4*p. Factor a(v).
(v + 2)*(v + 4)/2
Let r(j) = j**3 + 4*j**2 - 14*j - 8. Let u be r(-6). Let b(o) = -o + 1. Let n(i) = 2*i**2 + 2. Let c(x) = u*b(x) - 2*n(x). Factor c(k).
-4*k*(k + 1)
Let m(n) be the third derivative of -1/8*n**6 + 0*n**3 + 44*n**2 + 0 + 0*n + 0*n**4 + 1/42*n**7 + 0*n**5. Determine l so that m(l) = 0.
0, 3
Let u(b) be the first derivative of -b**5/10 + 3*b**3/2 + b**2 - 6*b + 116. Factor u(l).
-(l - 3)*(l - 1)*(l + 2)**2/2
Let v(x) = 1 - 8 - 28*x**2 + x**2 - 17*x + 45*x**2. Let g(w) = -71*w**2 + 69*w + 29. Let r(y) = 2*g(y) + 9*v(y). Factor r(n).
5*(n - 1)*(4*n + 1)
Let h = 236/23 - 858/115. Find d, given that -h*d**2 - 2 - 22/5*d - 2/5*d**3 = 0.
-5, -1
Suppose i - 4*k + 10 = 0, -2*i - i = 2*k - 12. What is t in 0*t**i + 0*t**2 + 2*t**2 + t**2 + 6*t = 0?
-2, 0
Let t = 81/8 - 10. Let y(u) be the second derivative of 0 + u + 0*u**3 + 1/48*u**4 - t*u**2. Find r, given that y(r) = 0.
-1, 1
Let u = 8 - 8. Suppose u = -4*w - q + 19, 4*w - 4*q = 32 - 8. Factor 2*i + 2*i**4 - i**w - i**5 - 2*i + 2*i**3 - 2*i**2.
-2*i**2*(i - 1)**2*(i + 1)
Let t(r) = -2*r - 16. Let p be t(-9). Suppose -12 = 3*y, p*f + 2*y = 3*y + 12. Suppose 5*n**2 - f*n**2 + 3*n - 2 + n**3 - 4*n + n**2 = 0. What is n?
-2, -1, 1
Let d(l) be the second derivative of 33*l**5/100 - 5*l**4/4 + 17*l**3/10 - 9*l**2/10 - 355*l. Factor d(g).
3*(g - 1)**2*(11*g - 3)/5
Let p(k) be the second derivative of -1/6*k**4 + 12*k**2 + 2 + 4/3*k**3 + k. What is b in p(b) = 0?
-2, 6
Let h(a) be the first derivative of 1/14*a**4 + 4/21*a**3 - 24 - a**2 + 8/7*a. Determine k so that h(k) = 0.
-4, 1
Let t(d) = 4*d**2 + 413*d - 310. Let l be t(-104). Factor 6/5*k + 0 - 2/5*k**l.
-2*k*(k - 3)/5
Let i(z) be the second derivative of z**5/120 + 5*z**4/72 + z**3/9 - 91*z. Factor i(n).
n*(n + 1)*(n + 4)/6
Factor -2992*h + 2957*h + 5*h**2 + 0*h**2 + 0*h**2.
5*h*(h - 7)
Solve 0 + 2/17*s**5 + 0*s - 20/17*s**2 + 12/17*s**4 + 6/17*s**3 = 0 for s.
-5, -2, 0, 1
Let d be 2*-3*(38 + -18 + -21). Let v(a) be the third derivative of 0*a - d*a**2 - 3/10*a**6 + 1/5*a**5 + 0*a**3 - 1/24*a**4 + 0. Factor v(w).
-w*(6*w - 1)**2
Let f(t) be the first derivative of -13 - 2/15*t**3 - 6/5*t**2 - 18/5*t. Find r, given that f(r) = 0.
-3
Suppose -5*r = -0*r + 25. Let i(b) = -27*b**3 - 11*b**2 + 5*b. Let t(v) be the first derivative of v**3/3 - v**2/2 + 1. Let h(w) = r*t(w) - i(w). Factor h(n).
3*n**2*(9*n + 2)
Factor 5*t**3 + 1/2*t**5 + 133/2*t + 49/2 + 53*t**2 - 11/2*t**4.
(t - 7)**2*(t + 1)**3/2
Suppose -4*g = g + i - 12, 4 = -2*g + 4*i. Let o be 2388/252 - (-1 + -4)/(-35). Solve -4/3 - 32/3*q**g - 4*q**4 - 2/3*q**5 - o*q**3 - 6*q = 0 for q.
-2, -1
Let c(y) be the first derivative of y**4/6 + 40*y**3/9 - y**2/3 - 40*y/3 - 265. Let c(p) = 0. Calculate p.
-20, -1, 1
Let n = 2/277 - -548/831. Let g be (-10)/(6*60)*-8. Factor -g*v**2 + 0 + n*v.
-2*v*(v - 3)/9
Let f = -94258/6775 + 348/25. Let i = 261/1355 + f. Factor 1/5*s**3 - i*s - 1/5 + 1/5*s**2.
(s - 1)*(s + 1)**2/5
Let l(x) = -28*x**4 - 72*x**3 - 116*x**2 - 56*x + 16. Let u(q) = -9*q**4 - 24*q**3 - 39*q**2 - 19*q + 5. Let i(z) = 5*l(z) - 16*u(z). Factor i(g).
4*g*(g + 1)*(g + 2)*(g + 3)
Let w(m) be the second derivative of m**6/120 - 3*m**5/40 + m**4/4 + 13*m**3/6 - 6*m. Let g(c) be the second derivative of w(c). Suppose g(j) = 0. Calculate j.
1, 2
Let w be 9/15 + 6/(-60). Let g(s) be the first derivative of 0*s - 3*s**2 - 27/4*s**4 - 7*s**3 - 3*s**5 - w*s**6 + 3. Factor g(h).
-3*h*(h + 1)**3*(h + 2)
Let o be 56/48*24/63. Let 0*d + 4/9*d**2 + 4/9*d**3 - o*d**5 - 4/9*d**4 + 0 = 0. Calculate d.
-1, 0, 1
Let g(k) be the second derivative of 5/4*k**4 + 0 - 27/2*k**2 + 3/20*k**5 + 3/2*k**3 - 12*k. Factor g(z).
3*(z - 1)*(z + 3)**2
Let x(d) be the second derivative of -d**6/900 + 2*d**5/75 - 4*d**4/15 - 7*d**3/6 - 10*d. Let g(r) be the second derivative of x(r). Factor g(v).
-2*(v - 4)**2/5
Suppose 