*s**5 - s**3 + 6*s**3 + 3*s**5 - 5*s**2.
-5*s**2*(s - 1)**2*(s + 1)
Let p(o) be the second derivative of -o**6/240 - o**5/60 + o**4/48 + o**3/6 + 3*o**2/2 + 3*o. Let g(i) be the first derivative of p(i). Let g(h) = 0. What is h?
-2, -1, 1
Let i = 661 - 659. Solve -1/2 + 1/4*u + 1/4*u**i = 0 for u.
-2, 1
Let a(w) = 3*w + 3. Let t be a(-3). Let x be (-10)/t + 5/15. What is o in -2/7*o - 2/7*o**4 + 2/7*o**3 + 2/7*o**x + 0 = 0?
-1, 0, 1
Let x(m) be the first derivative of -3*m**3 + 3*m**2 + 3*m + 17. Determine p so that x(p) = 0.
-1/3, 1
Determine k, given that -4*k**2 + 38*k**3 - 35*k**3 + 0*k**2 - 2*k**2 = 0.
0, 2
Let w(h) be the first derivative of -3*h**4/8 - h**3 - 3*h**2/4 + 1. Solve w(l) = 0.
-1, 0
Let w = -4 - -9. Factor 5*b**5 + 2*b**w - 3*b**5 - 5*b**5.
-b**5
Let m(i) be the first derivative of -4 - 3/2*i**4 + 3/5*i**5 + 3*i**2 + 0*i**3 - 3*i. Factor m(z).
3*(z - 1)**3*(z + 1)
Let a be (-14)/(-12) + 3/2. What is r in a*r**3 - 2/3*r - 5/3*r**4 - 1/3*r**2 + 0 = 0?
-2/5, 0, 1
Let l = 19 + -9. Let u be (-14)/4*(3 - 5). Factor -u*t - 8*t - 3*t + 24*t**2 - l*t**3 + 4.
-2*(t - 1)**2*(5*t - 2)
Factor w**2 - 95 - 4*w**2 + 6*w + 95.
-3*w*(w - 2)
Let m be (-1 - -5)*(-27)/(-36). Determine q, given that 1/3*q - 1/3*q**m - 1/3 + 1/3*q**2 = 0.
-1, 1
Let o be 95/(-15) + 3 + 4. Solve 0 + 2/3*j**4 - o*j**2 + 0*j**3 + 0*j = 0 for j.
-1, 0, 1
Let s(v) = 3*v**2 + 8*v + 14. Let h(z) = 7*z**2 + 16*z + 27. Let k(x) = 6*h(x) - 15*s(x). Solve k(l) = 0 for l.
-4
Let u(c) be the first derivative of -2/15*c**3 + 0*c**2 + 1/10*c**4 + 1 + 0*c. Suppose u(d) = 0. Calculate d.
0, 1
Factor 5 - 15*v - 6*v - 5 - 3*v**3 + 24*v**2.
-3*v*(v - 7)*(v - 1)
Let m(p) be the second derivative of 0 - 1/180*p**6 - 1/12*p**4 - 1/6*p**3 - 2*p + 1/30*p**5 + 0*p**2. Let o(q) be the second derivative of m(q). Factor o(b).
-2*(b - 1)**2
Let g = 220/3 - 73. Factor p**2 + 1/3 - p - g*p**3.
-(p - 1)**3/3
Let p(y) be the third derivative of 0 + 2/21*y**3 + 2/105*y**5 + 0*y + 1/420*y**6 + 5/84*y**4 + 2*y**2. Factor p(a).
2*(a + 1)**2*(a + 2)/7
Suppose 2*t + 4 = -2, 0 = -2*n - 2*t + 2. Determine f so that 9*f**3 + 3*f**2 - f + 3*f**5 + f + 0*f**n + 9*f**4 = 0.
-1, 0
Let h(u) = -2*u - 1. Let x be h(-2). Factor -2/7*q**4 + 0*q**x + 4/7*q**2 - 2/7 + 0*q.
-2*(q - 1)**2*(q + 1)**2/7
Let y = 977/278 + -2/139. Factor 0 + 0*k + 5/2*k**3 + 3/2*k**5 - 1/2*k**2 - y*k**4.
k**2*(k - 1)**2*(3*k - 1)/2
Suppose p + 2*p - 6 = 0. Let s be (-9)/p*(-6 + 4). Factor -3 - 1 - 8*a**2 + a + 2*a**3 + s*a.
2*(a - 2)*(a - 1)**2
Let q(z) = -2*z + 2*z**2 + 4 - 5*z**2 - 3. Let o(j) = -6*j**2 - 3*j + 3. Suppose -3*g = v, 0*g = 3*v + 3*g - 18. Let w(x) = v*q(x) - 4*o(x). Solve w(l) = 0.
-1
Let z(a) = -a**2 - 2*a. Let i be z(0). Determine s, given that i*s**2 - 3*s**2 + 2*s**2 = 0.
0
Suppose 0 = -2*k - k. Let 3 + k*d**2 - 2 - 5 + d**2 = 0. What is d?
-2, 2
Let s(k) be the third derivative of -k**4/6 - 4*k**3/3 - 7*k**2. Let i be s(-3). Factor 2*f**5 + 0*f**2 - 4/5*f**3 + 0*f + 0 + 6/5*f**i.
2*f**3*(f + 1)*(5*f - 2)/5
Let b(s) be the third derivative of s**2 - 1/60*s**5 + 0 - 1/6*s**3 - 1/12*s**4 + 0*s. Factor b(t).
-(t + 1)**2
Let o(w) be the second derivative of 1/2*w**4 - 1/10*w**6 + 0 - 3*w - 3/2*w**2 - 1/14*w**7 - 1/2*w**3 + 3/10*w**5. Factor o(n).
-3*(n - 1)**2*(n + 1)**3
Let r = -65 - -131/2. Factor -2*d**3 + r + 2*d - 1/2*d**2.
-(d - 1)*(d + 1)*(4*d + 1)/2
Let v(x) be the first derivative of -x**4 - 4*x**3/3 + 8*x**2 + 16*x - 7. Determine z, given that v(z) = 0.
-2, -1, 2
Let s(h) be the third derivative of 0*h - 5*h**2 + 1/21*h**3 + 0 + 1/210*h**5 + 1/42*h**4. Suppose s(v) = 0. Calculate v.
-1
Let d(v) be the third derivative of 3*v**9/224 - 39*v**8/1120 + v**7/42 - v**6/180 + v**3/6 + 2*v**2. Let z(h) be the first derivative of d(h). Factor z(m).
m**2*(m - 1)*(9*m - 2)**2/2
Let i be 84/15 - (-9)/(-15). Factor 8*n**4 + 3*n - n + 2*n + 0*n**5 - 4*n**i - 8*n**2.
-4*n*(n - 1)**3*(n + 1)
Suppose -5*t = -26 + 71. Let l be -4*(1 + t/6). Solve 6*a - 6*a - l*a**5 + 2*a**4 + 4*a**3 = 0.
-1, 0, 2
Let v(y) be the first derivative of y**6/1080 - y**5/120 + y**4/36 + 2*y**3/3 + 1. Let b(t) be the third derivative of v(t). Solve b(d) = 0 for d.
1, 2
Factor 137*k**3 + 3*k - k**4 - 143*k**3 - k**4 + 5*k.
-2*k*(k - 1)*(k + 2)**2
Let h be -1 - 0 - (-2 - 2). Suppose k - 2*k + 15 = h*s, 5*s - 25 = -2*k. Factor 0*n**2 + k + 1/2*n**3 - 1/2*n.
n*(n - 1)*(n + 1)/2
Suppose -4*l + 21 = -5*j - 8, -j = 5. Suppose -m - l + 4 = 0. Let -d**3 + 4*d**3 - 4*d**m = 0. What is d?
0
Let u(w) = -w**2 - w. Let y(v) = -5*v**3 - v. Let j(s) = u(s) - y(s). Let d(n) = -14*n**3 + 2*n**2. Let m(h) = 3*d(h) + 8*j(h). What is z in m(z) = 0?
-1, 0
Let q(r) be the third derivative of r**7/210 + r**6/20 + 13*r**5/60 + r**4/2 + 2*r**3/3 + 7*r**2. Let q(s) = 0. Calculate s.
-2, -1
Let r = 7/50 + 437/450. Let h = -2/21 - -16/21. Factor 0*f + 4/9*f**2 - h*f**3 + 0 - r*f**4.
-2*f**2*(f + 1)*(5*f - 2)/9
Let y(r) be the third derivative of 7/20*r**5 + 0*r + 9/8*r**4 + 0 + 4*r**2 + r**3. Factor y(g).
3*(g + 1)*(7*g + 2)
Let l(m) be the second derivative of m**3/6 + 6*m**2 - 6*m. Let b be l(-10). Find x, given that 3*x + b + 3/2*x**2 + 1/4*x**3 = 0.
-2
Let n(v) be the third derivative of -v**8/112 + 3*v**6/40 - v**5/10 + 6*v**2. Factor n(g).
-3*g**2*(g - 1)**2*(g + 2)
Let y(v) be the first derivative of -v**4/24 + 2*v**3/9 - 5*v**2/12 + v/3 - 6. Solve y(g) = 0 for g.
1, 2
Factor 4 + 76*m**2 + 74*m**2 - 134*m**2 - 20*m.
4*(m - 1)*(4*m - 1)
Let n = 40 - 999/25. Let f(a) be the third derivative of 0*a + 0 + 2*a**2 + 0*a**3 - 1/280*a**8 + 1/25*a**5 - n*a**6 - 1/60*a**4 + 2/105*a**7. Factor f(i).
-2*i*(i - 1)**3*(3*i - 1)/5
Let j(u) be the first derivative of -3*u**5/25 + 3*u**4/10 - u**3/5 - 21. Find f, given that j(f) = 0.
0, 1
Let m(h) be the third derivative of h**9/211680 + h**8/70560 + h**5/30 + 2*h**2. Let c(f) be the third derivative of m(f). Solve c(n) = 0 for n.
-1, 0
Suppose 0*g**2 + 0 + g**5 + 1/2*g**4 + 0*g + 0*g**3 = 0. What is g?
-1/2, 0
Let u = -8 + -2. Let m be u/25 - 17/(-5). Suppose 1/2*q**2 + 1/2*q - 1/2 - 1/2*q**m = 0. What is q?
-1, 1
Let p(q) be the second derivative of 4*q**2 + 0 - 16/3*q**3 + 7/6*q**4 + 2*q. Find u such that p(u) = 0.
2/7, 2
Factor -10*x + x + 3*x**4 + 3*x - 7*x**2 - 2*x**2.
3*x*(x - 2)*(x + 1)**2
Factor 0 + 0*k**2 + 0*k - 2/7*k**4 + 1/7*k**5 + 1/7*k**3.
k**3*(k - 1)**2/7
Let d be ((-7)/(-14))/(1/(-2))*0. Let f = -374/5 - -75. Find m, given that d - f*m**5 + 0*m**3 + 0*m**2 - 1/5*m**4 + 0*m = 0.
-1, 0
Let k(f) be the third derivative of -f**8/3360 - f**7/1260 + f**6/360 + f**5/60 - f**4/24 - 2*f**2. Let u(c) be the second derivative of k(c). Factor u(m).
-2*(m - 1)*(m + 1)**2
Let m(l) be the second derivative of 1/10*l**5 + 2*l + 0 - 1/6*l**4 + 0*l**2 + 0*l**3. Factor m(p).
2*p**2*(p - 1)
Solve l**2 + 9*l**2 + 6*l - 13*l**2 = 0.
0, 2
Let k(h) be the third derivative of h**5/60 + 5*h**4/24 - 3*h**3/2 + h**2. Let j be k(-7). Factor 7*t**2 - j*t**3 - 2*t + t**4 - t**5 + 4*t**4 - 4*t**3.
-t*(t - 2)*(t - 1)**3
Suppose 2 - 4 = -n. Let i(l) = 3 + 2*l**n + l**2 - 4*l + 2*l**3 - l**3. Let f(c) = c**2 - c + 1. Let s(k) = -6*f(k) + 2*i(k). Factor s(a).
2*a*(a - 1)*(a + 1)
Let s = 65 + -60. Let z(n) be the second derivative of -5/2*n**4 + 0 - 14/15*n**s + 28/9*n**3 - 4/3*n**2 + 4*n + 49/45*n**6. Find c, given that z(c) = 0.
-1, 2/7, 1
Factor -3/2*l + 0 + 3/2*l**2.
3*l*(l - 1)/2
Let b(o) = -3*o + 1. Let n be b(-1). Suppose 0*i - 2*i = -n. Factor -a - 2*a + 3*a - i*a**2 + 2*a.
-2*a*(a - 1)
Let p(g) be the second derivative of g**6/1800 - g**4/120 + 2*g**3/3 - 4*g. Let k(n) be the second derivative of p(n). Suppose k(o) = 0. What is o?
-1, 1
Let i = -92 + 277/3. What is y in y**4 - i*y**2 + 0*y - 2/3*y**5 + 0 + 0*y**3 = 0?
-1/2, 0, 1
Let l = 113 + -111. Solve -4 - 14*z - 49/4*z**l = 0 for z.
-4/7
Suppose 3*p + 2*s = -10, -3*p + 10 = -2*s - 0*s. Solve p + 0*y + 3/5*y**2 = 0.
0
Let j be 3*((-220)/56 + 4). Let p(t) be the second derivative of -2/5*t**6 + 2*t + 2/3*t**3 + 1/4*t**5 + t**4 + 0 + 0*t**2 - j*t**7. Solve p(u) = 0.
-1, -2/3, 0, 1
Solve -1/2 - 2*x - 2*x**3 - 1/2*x**4 - 3*x**2 = 0.
-1
Solve 21*c**2 + 5*c**3 - 11*c**2 - 20*c - 13 - 27 = 0 for c.
-2, 2
Let a(q) = -2. Let p(u) = 5*u**2 - 110*u + 545. Let t(r) = -30*a(r) + p(r). Factor t(j).
5*(j - 11)