 61*l**2. Factor m(c).
-(c - 4)**2*(c + 3)/2
Let s(k) be the third derivative of -k**5/120 + 5*k**4/24 - 4*k**3/3 + 46*k**2. Factor s(h).
-(h - 8)*(h - 2)/2
Let a = 440/687 + 6/229. Factor a*x**2 - 2/3*x + 0.
2*x*(x - 1)/3
Let s(h) be the second derivative of -h**4/84 - h**3/42 + h**2/7 + 15*h. Factor s(l).
-(l - 1)*(l + 2)/7
Let p(c) be the second derivative of c**4/36 + c**3/9 - c**2/2 - 28*c. Factor p(j).
(j - 1)*(j + 3)/3
Suppose -2*p + 2 = t - 10, 0 = -t - p + 8. Suppose 6*r - 2*n - 20 = 3*r, -t*r + 2*n = -24. Factor 0*v + 0 - 1/5*v**5 + 1/5*v**3 + 0*v**2 + 0*v**r.
-v**3*(v - 1)*(v + 1)/5
Suppose 5*q + 720 = 2*q. Let z = 1204/5 + q. Factor 0*p**2 + 4/5*p**3 + 2/5 - 2/5*p**4 - z*p.
-2*(p - 1)**3*(p + 1)/5
Let l(d) be the second derivative of d**6/1260 + d**5/210 - d**3/6 - d. Let a(u) be the second derivative of l(u). Factor a(h).
2*h*(h + 2)/7
Let x(o) be the second derivative of 0 - 1/50*o**6 + 9/100*o**5 + 2*o + 0*o**2 + 1/10*o**3 - 3/20*o**4. Factor x(r).
-3*r*(r - 1)**3/5
Suppose -4*b = 3*b. Solve b + 1/4*u**2 + 1/4*u = 0.
-1, 0
Let d(p) be the first derivative of 3*p**2 + 1/3*p**3 + 9*p + 5. Factor d(x).
(x + 3)**2
Let m be (0/3)/(-3) - -1. Let t(r) = 4*r**3 + 1. Let o be t(m). Factor -6/5*i**3 - 1/5*i**o + 0 - 4/5*i**2 - 1/5*i - 4/5*i**4.
-i*(i + 1)**4/5
Let y(s) = -s**3 - 6*s**2 + 8*s + 10. Let i be y(-7). Factor -i*q**2 + 4*q**2 + q**2.
2*q**2
Let b = -11 + 15. Suppose 5 - 21 = -u + 4*h, u - 5*h = 17. Determine i so that 12*i**2 - 5*i**3 - 4 - 12*i + 18*i**2 - b + 3*i**4 - u*i**3 = 0.
-1/3, 2
Let o(y) = y**3 - 5*y**2 + 7*y. Let i(t) = -2*t**3 + 14*t**2 - 20*t. Let f(z) = -3*i(z) - 8*o(z). Factor f(j).
-2*j*(j - 1)*(j + 2)
Let z(l) be the second derivative of 0 + 1/6*l**4 + 2/7*l**2 - 2*l + 3/7*l**3. Find w such that z(w) = 0.
-1, -2/7
Let k(c) be the first derivative of c**7/1120 + c**6/720 - 7*c**5/480 + c**4/48 + c**3/3 - 2. Let s(y) be the third derivative of k(y). Factor s(i).
(i - 1)*(i + 2)*(3*i - 1)/4
Let n(h) be the first derivative of 3*h**4/4 + 2*h**3 - 21*h**2/2 + 12*h - 28. Factor n(r).
3*(r - 1)**2*(r + 4)
Suppose 5 + 15 = 2*a. Let j = a - 10. Suppose 1/3*x**4 + 0*x**3 + j*x + 1/3 - 2/3*x**2 = 0. What is x?
-1, 1
Let f(k) = -4*k**3 + 20*k**2 - 12*k - 6. Let d(o) = -15*o**3 + 79*o**2 - 49*o - 24. Let p(v) = -2*d(v) + 9*f(v). Factor p(u).
-2*(u - 3)*(u - 1)*(3*u + 1)
Let o(j) be the second derivative of -j**6/30 - j**5/4 - 3*j**4/4 - 7*j**3/6 - j**2 + 13*j. Find c, given that o(c) = 0.
-2, -1
Let b(w) be the first derivative of 0*w + 0*w**2 - 3 + 1/2*w**3 - 9/8*w**4 - 1/4*w**6 + 9/10*w**5. Determine l, given that b(l) = 0.
0, 1
What is w in 9*w**4 - 27*w - 45*w**2 - 10*w**4 - 21*w**3 - 2*w**4 = 0?
-3, -1, 0
Let q = -224 + 227. Factor -6*u**q - 3/2*u + 21/4*u**2 + 0 + 9/4*u**4.
3*u*(u - 1)**2*(3*u - 2)/4
Let d(y) = y**2 - 8*y + 14. Let u be d(6). Let -o**u + 1/2*o**3 + 1/2*o + 0 = 0. What is o?
0, 1
Let c(k) = -k**2 - 13*k - 15. Let l be c(-12). Let a be (-4)/8 - l/4. Let -a*z**2 + 0 + 1/2*z = 0. Calculate z.
0, 2
Let j = -4 - -2. Let y = 0 - j. Suppose -r**y + 2*r**2 + r**2 - 2 = 0. Calculate r.
-1, 1
Suppose 0 = -7*s + 7 + 7. Let 8/11*w**s - 12/11*w**3 + 6/11*w**5 - 4/11*w**4 - 4/11 + 6/11*w = 0. What is w?
-1, 2/3, 1
Let l(d) be the third derivative of 21/10*d**5 + 5/2*d**4 + 0 + 0*d + 49/120*d**6 + 4/3*d**3 - 3*d**2. Factor l(r).
(r + 2)*(7*r + 2)**2
Let r(n) be the third derivative of -1/18*n**5 + 0*n**3 + 0*n + 0 - 3*n**2 + 1/18*n**4. Factor r(q).
-2*q*(5*q - 2)/3
Let q(y) = y**3 - 10*y**2 + 10*y - 3. Let x be q(9). Suppose -4 = 4*a - x*a. Factor -a*m**2 - 8/5 + 32/5*m - 14/5*m**3.
-2*(m - 1)*(m + 2)*(7*m - 2)/5
Let b(q) be the first derivative of -2*q**5/35 - q**4/7 - 2*q**3/21 - 6. Factor b(p).
-2*p**2*(p + 1)**2/7
Let h(n) be the second derivative of -n**7/42 - n**6/30 + n**5/4 + n**4/12 - 4*n**3/3 + 2*n**2 + 12*n. Let h(b) = 0. Calculate b.
-2, 1
Let u(a) be the second derivative of -a**4/12 + 2*a**3/3 - 2*a**2 + a. Let c be u(2). Factor -2/7*s**2 + 0 + 2/7*s**4 + 0*s**3 + c*s.
2*s**2*(s - 1)*(s + 1)/7
Find l, given that -2*l**2 + 8*l**3 + 4*l - 18*l**3 - 4*l**2 + 0*l**2 = 0.
-1, 0, 2/5
Let k(w) be the second derivative of 0 - 1/5*w**2 - 1/50*w**5 + w - 1/10*w**4 - 1/5*w**3. What is s in k(s) = 0?
-1
Let x be ((-2)/(-5))/(15/75). Let -c**4 + 3*c**2 + 5*c**4 + 4*c**3 - 11*c**x = 0. Calculate c.
-2, 0, 1
Let d = 245/2 - 119. Solve 0*x + x**2 + d*x**3 + 0 = 0 for x.
-2/7, 0
Let c(n) be the third derivative of 0 + 1/60*n**5 - 1/6*n**4 + 7*n**2 + 0*n + 1/2*n**3. Solve c(h) = 0 for h.
1, 3
Let c = 8 + -8. Let s(t) be the first derivative of 1/10*t**4 - 3 + 0*t + 0*t**3 + c*t**2. Solve s(l) = 0.
0
Let z(n) be the second derivative of 7*n**5/20 - 3*n**4/4 + n**3/3 + n - 13. Determine m so that z(m) = 0.
0, 2/7, 1
Let g = -466 - -1399/3. Factor -1/3*i**3 - 1/3*i**4 + 0*i + g*i**2 + 1/3*i**5 + 0.
i**2*(i - 1)**2*(i + 1)/3
Let o(k) be the first derivative of 2*k**6/3 - 12*k**5/5 - 18. Suppose o(m) = 0. Calculate m.
0, 3
Let n(s) be the third derivative of s**6/8 - s**5/10 - 5*s**4/8 + s**3 - 2*s**2. Solve n(m) = 0 for m.
-1, 2/5, 1
Factor 1/2 - 1/2*y**4 + y**3 - y + 0*y**2.
-(y - 1)**3*(y + 1)/2
Suppose n + 240 = 2*n. Let f be 3/4 - 132/n. Factor 1/5*o - 1/5*o**2 + 1/5*o**4 + 0 - f*o**3.
o*(o - 1)**2*(o + 1)/5
Let n(p) be the second derivative of p**7/147 + 4*p**6/105 + 3*p**5/35 + 2*p**4/21 + p**3/21 - 3*p. Find j such that n(j) = 0.
-1, 0
Let q = 2 + 0. Let w = q + 0. Solve f + 5*f**w - 4*f**2 + 0*f**2 = 0.
-1, 0
Let a(k) be the first derivative of k**6/360 + 7*k**3/3 - 4. Let z(o) be the third derivative of a(o). Factor z(c).
c**2
What is c in 2/3*c - 4/3 - 2/3*c**4 - 2/3*c**3 + 2*c**2 = 0?
-2, -1, 1
Factor 4/9*t**2 - 8/9*t + 2/9*t**3 - 16/9.
2*(t - 2)*(t + 2)**2/9
Let b(k) = -10*k - 18. Let x be b(-2). Factor -6/7*i**3 - 1/7*i**5 - 1/7*i + 0 + 4/7*i**x + 4/7*i**4.
-i*(i - 1)**4/7
Let v be -5 - 5/((-70)/74). Factor -v*u**2 - 8/7*u + 8/7*u**3 + 2/7.
2*(u - 1)*(u + 1)*(4*u - 1)/7
Factor -16/5 + 8/5*t - 1/5*t**2.
-(t - 4)**2/5
Let g be 18/(-12)*(-52)/6. Factor -4*i**4 - g*i**2 + 10*i**2 + i - i**3 + 4*i**3 + 3*i**4.
-i*(i - 1)**3
Let q = 29 - 29. Factor 1/2*k**2 + q + k.
k*(k + 2)/2
Factor -7/3*w + 1 + 5/3*w**2 - 1/3*w**3.
-(w - 3)*(w - 1)**2/3
Let l = 10111/30 + -337. Let y(g) be the third derivative of -g**2 + 1/300*g**6 + l*g**4 - 1/50*g**5 + 0 + 0*g**3 + 0*g. Factor y(x).
2*x*(x - 2)*(x - 1)/5
Suppose 6*j - 4 = 14. Solve -2/9*m**2 - 4/9*m + 0 + 2/3*m**j = 0.
-2/3, 0, 1
Let r(z) be the first derivative of 3*z**4/4 + 3*z**3 + 9*z**2/2 + 3*z + 10. Suppose r(n) = 0. What is n?
-1
Factor -2/3*a**3 + 2 + 2/3*a**2 + 10/3*a.
-2*(a - 3)*(a + 1)**2/3
Let v(l) be the second derivative of -2*l**6/75 - 2*l**5/25 + 12*l. Factor v(a).
-4*a**3*(a + 2)/5
Let p(b) be the second derivative of b**4/72 - b**3/12 + b**2/6 + 10*b. Factor p(l).
(l - 2)*(l - 1)/6
Let q(r) be the second derivative of -r**5/5 + 2*r**4/3 + 2*r. Find h such that q(h) = 0.
0, 2
Let q(j) be the third derivative of -j**8/1008 + j**7/630 + j**6/120 - j**5/36 + j**4/36 + 14*j**2. Let q(r) = 0. Calculate r.
-2, 0, 1
Let b(i) be the second derivative of i**4/4 - i**3 - 3*i. Factor b(y).
3*y*(y - 2)
Let r be 9/15 + 64/10. Suppose 3*y + 3 = 0, 2*b - 9 = r*y - 4*y. Solve -39/2*l**2 - 3*l + 0 - 27/2*l**4 - 30*l**b = 0 for l.
-1, -2/9, 0
Let p be (-1)/(7/196*-4) + -5. Find l, given that -1 - 3/2*l - 1/2*l**p = 0.
-2, -1
Factor 0 - 2/5*n**5 + 0*n + 2/5*n**4 + 4/5*n**3 + 0*n**2.
-2*n**3*(n - 2)*(n + 1)/5
Let r(t) be the first derivative of t**2/2 + 2*t - 3. Let x be r(-1). Factor x + 20*h - 10*h**2 - 45*h**3 + 7 + 9*h**5 + 18*h**5.
(h - 1)**2*(3*h + 2)**3
Let o be -8 + 6 - (-4)/2. Let b(u) be the second derivative of -1/20*u**5 + 1/4*u**4 + o + 0*u**3 - 2*u + 0*u**2. Let b(h) = 0. Calculate h.
0, 3
Let h = 760/3 - 253. Factor 0 + 1/3*b - h*b**2.
-b*(b - 1)/3
Let b(o) be the first derivative of o**4/3 - 16*o**3/3 + 32*o**2 + 7*o - 3. Let g(l) be the first derivative of b(l). Suppose g(a) = 0. What is a?
4
Let m = 5 - -9. Let z(t) = -6*t**2 - 7*t + 7. Let g(c) = -c**2 - c + 1. Let j(k) = m*g(k) - 2*z(k). Let j(u) = 0. What is u?
0
Suppose 0 = -t - t. Suppose 4*f - 3 - 1 = -3*b, 5*b + 3*f - 3 = t. Factor 0*j + b*j**3 + 0 + 2/7*j**2 - 2/7*j**4.
-2*j**2*(j - 1)*(j + 1)/7
Let b