105*k**6 - 1/14*k**4 - 3/70*k**5. Factor m(t).
-2*t*(t + 1)**3/7
Let d(p) be the second derivative of -p**6/10 - 3*p**5/20 + 9*p**4/4 - 11*p**3/2 + 6*p**2 - 117*p. Let d(r) = 0. Calculate r.
-4, 1
Let o(y) be the third derivative of 13/36*y**4 + 0*y + 1/420*y**7 + 1/3*y**3 + 11/360*y**6 + 0 + 12*y**2 + 11/72*y**5. Determine j so that o(j) = 0.
-3, -2, -1/3
What is x in 116 - 2/3*x**4 - 106/3*x**3 + 566/3*x**2 - 806/3*x = 0?
-58, 1, 3
Solve -6*w**2 - w**3 - 8 + 23*w - 20*w + 12*w = 0.
-8, 1
Let p be ((-12)/(-32))/(((-3)/(-8))/((-6)/(-4))). Solve p*g**3 + 0*g + 0 - 3/2*g**2 = 0 for g.
0, 1
Let a(s) be the second derivative of s**6/15 - 3*s**5/5 + 13*s**4/6 - 4*s**3 + 4*s**2 - 14*s - 7. Factor a(n).
2*(n - 2)**2*(n - 1)**2
Factor 0*w + 0 + 5/6*w**4 + 5/6*w**2 - 5/3*w**3.
5*w**2*(w - 1)**2/6
Suppose -4/5*q**3 + 0*q - 1/5*q**5 + 0*q**2 - q**4 + 0 = 0. What is q?
-4, -1, 0
Suppose 0 = -y + 6 - 4. Suppose -3*k**3 + 3*k + k**y - k**4 - 109 + 109 = 0. What is k?
-3, -1, 0, 1
Let u(j) be the second derivative of -1/48*j**4 + 7*j + 0 + 0*j**3 + 1/120*j**5 - 3/2*j**2. Let a(c) be the first derivative of u(c). Let a(k) = 0. What is k?
0, 1
Let c = 4 + -2. Determine j, given that 3*j - 5*j**3 + 7*j**4 - 5*j**3 + 7*j - 5*j**2 - 3 + j**c = 0.
-1, 3/7, 1
Let z(m) = -4*m**4 + 13*m**3 + 36*m**2 + 38*m + 10. Let v(s) = -9*s**4 + 27*s**3 + 72*s**2 + 76*s + 19. Let q(g) = -3*v(g) + 7*z(g). Solve q(o) = 0 for o.
-1, 13
Find f, given that -3*f**2 - f**2 + 11*f + 9*f + 74 - 92 + 2*f**2 = 0.
1, 9
Determine s, given that 50/19 - 30/19*s + 4/19*s**2 = 0.
5/2, 5
Let n be (1 - 2)*(6 - 7). Let v be 4/(-4) + 15/n. Factor 4*p**2 - 17*p**3 + v*p**3 + 2*p - 3*p.
-p*(p - 1)*(3*p - 1)
Let z(x) be the third derivative of 5*x**2 - 1/2*x**3 + 0*x + 1/144*x**4 + 0 - 1/2160*x**6 + 0*x**5. Let g(o) be the first derivative of z(o). Solve g(s) = 0.
-1, 1
Let j be (3 + -2)/((-49)/(-21) + 8/(-24)). Factor 3/5 + 13/10*v - j*v**2.
-(v - 3)*(5*v + 2)/10
Let f(x) be the third derivative of -5*x**8/336 - x**7/42 + x**6/4 + x**5/3 - 5*x**4/3 - 37*x**2. Determine b so that f(b) = 0.
-2, 0, 1, 2
Let f be -3 + 5 - (-2 + -4 + 6). Let y be 30/8 - 1/(-4). Factor y*x**4 + 2*x - 12*x**f + 9*x - 3*x.
4*x*(x - 1)**2*(x + 2)
Let w(x) be the first derivative of 4*x**5/35 - 11*x**4/7 + 44*x**3/7 - 10*x**2/7 - 200*x/7 - 64. Suppose w(r) = 0. What is r?
-1, 2, 5
Solve 8/5*j + 2/5*j**2 + 0 = 0.
-4, 0
Let r(s) be the third derivative of 0*s + 5*s**2 - 2/3*s**3 + 0*s**7 - 1/15*s**6 + 0 + 1/4*s**4 + 1/168*s**8 + 1/15*s**5. Find c such that r(c) = 0.
-2, -1, 1
Let y(k) be the second derivative of k**5/70 - k**4/21 + k**3/21 - 150*k. Factor y(w).
2*w*(w - 1)**2/7
Let n(r) be the second derivative of r**7/105 - 7*r**6/50 + 29*r**5/50 - r**4/15 - 2*r**3 + 5*r**2/2 + 4*r + 10. Determine k so that n(k) = 0.
-1, 1/2, 1, 5
Suppose 0 = -i - 20 - 64. Let q = i - -86. Suppose -3/5*f**q - 6/5 + 9/5*f = 0. Calculate f.
1, 2
Suppose 5*a - 5 = 4*a. Let s = -1 + a. Factor -3*k**3 + k**4 - k + 3*k**2 + 5*k**4 - 5*k**s + 0*k**3.
k*(k - 1)**3
Let b = 13 + -13. Suppose -3 = s - 5*w, -5*s - w - 3 + 14 = b. Let 0*r**3 - s*r**3 - 8*r + 2*r**5 + 8*r = 0. Calculate r.
-1, 0, 1
Let o(t) = -7 - t**2 + 11*t + 3*t**2 + 5*t. Let s(g) = -g**2 - 2*g - 6*g + 2 + 3*g. Let x(c) = 2*o(c) + 7*s(c). Factor x(d).
-3*d*(d + 1)
Let y(b) be the first derivative of 2*b**3/3 - 30*b**2 + 58*b + 100. What is a in y(a) = 0?
1, 29
Suppose 5*p + 465*r = 469*r + 7, -2 = -r. Factor -2/15 + 2/15*a**4 + 0*a**2 + 4/15*a**p - 4/15*a.
2*(a - 1)*(a + 1)**3/15
Let z(t) be the second derivative of -t**4/12 - t**3/6 + 6*t**2 + 53*t + 2. Factor z(v).
-(v - 3)*(v + 4)
Let n = -2357/2 - -1267. Let x = -88 + n. Factor 1/4*i + 1/2*i**4 - x*i**2 - 1/4*i**5 + 0 + 0*i**3.
-i*(i - 1)**3*(i + 1)/4
Let i be (-41)/(2665/(-286)) + -3 + 0. Factor -i*u + 4/5*u**2 - 2/5.
(u - 2)*(4*u + 1)/5
Let v(y) be the first derivative of -1/630*y**7 + 0*y**3 + 0*y**6 + 3 + 0*y**4 + 0*y**5 + 0*y + 2*y**2. Let l(r) be the second derivative of v(r). Factor l(t).
-t**4/3
Let a be ((-4)/(-10))/(2/20). Factor 6 + a*f - 2*f**2 + 5*f + 5*f**2.
3*(f + 1)*(f + 2)
Let d(x) be the first derivative of -x**6/120 + x**5/80 + x**4/48 - x**3/24 - 2*x - 3. Let s(f) be the first derivative of d(f). Factor s(a).
-a*(a - 1)**2*(a + 1)/4
Let x(p) be the first derivative of 1/2*p**2 + 2*p - 2/3*p**3 - 1/4*p**4 + 6. Solve x(a) = 0 for a.
-2, -1, 1
Find j, given that 2*j - j**4 - 7*j**3 - 3*j + 5*j + 10*j**3 - 6*j**3 = 0.
-2, 0, 1
Let x(b) be the first derivative of -b**6/45 - b**5/30 + b**4/18 + b**3/9 + 16*b - 9. Let h(f) be the first derivative of x(f). Factor h(a).
-2*a*(a - 1)*(a + 1)**2/3
Let d be (-104)/10 - 2/(-5). Let i = d + 29. Let 4*c**2 + 12*c**2 - 3*c - i*c**2 + 6 = 0. What is c?
-2, 1
Let k(h) be the second derivative of -h**6/3 - 11*h**5/5 + 17*h**4/6 + 10*h**3/3 - 16*h + 2. Factor k(g).
-2*g*(g - 1)*(g + 5)*(5*g + 2)
Let d(i) be the second derivative of 5*i**4/12 - 85*i**3/6 - 45*i**2 + 8*i - 29. Determine y, given that d(y) = 0.
-1, 18
Let j(o) be the first derivative of -o**5/15 - o**4/2 + o**3/3 + 10*o**2/3 + 4*o - 257. Factor j(n).
-(n - 2)*(n + 1)**2*(n + 6)/3
Let t = -2581 + 2585. Let 0 + 0*f + 0*f**2 + 3/2*f**3 - 3/4*f**t = 0. Calculate f.
0, 2
Let b(w) be the third derivative of -w**7/210 - w**6/40 + w**5/10 + w**4/3 + 85*w**2. Factor b(z).
-z*(z - 2)*(z + 1)*(z + 4)
Let w(r) = -9*r**4 - 13*r**3 - 8*r**2 + 3*r - 3. Let j(h) be the first derivative of h**5/5 - h**4/4 - h**2/2 + h - 15. Let c(n) = -3*j(n) - w(n). Factor c(q).
2*q**2*(q + 2)*(3*q + 2)
Let g be 2072/(-222)*(-2)/4 + -4 + 0. Factor 4/3*v**2 + 2/3*v - 4/3*v**4 - g*v**5 + 0 + 0*v**3.
-2*v*(v - 1)*(v + 1)**3/3
Let g(x) be the first derivative of -x**6/120 - x**5/40 - 7*x + 14. Let v(d) be the first derivative of g(d). Factor v(q).
-q**3*(q + 2)/4
Let y = 54/35 + -127/105. Let v(q) be the third derivative of 0*q + 5*q**2 + y*q**3 + 0 - 1/120*q**6 - 5/24*q**4 + 1/15*q**5. Factor v(r).
-(r - 2)*(r - 1)**2
Let j = -29260 - -29262. Factor 10/7 - 8/7*p - 2/7*p**j.
-2*(p - 1)*(p + 5)/7
Let w = -219 + 225. Let r(i) be the third derivative of 0 + 1/84*i**4 - 6*i**2 + 0*i + 0*i**3 + 1/420*i**w - 1/105*i**5. What is y in r(y) = 0?
0, 1
Let g(l) be the first derivative of 0*l + 6*l**3 - 3/4*l**4 + 21/2*l**2 + 29. Let g(z) = 0. What is z?
-1, 0, 7
Let r(m) be the third derivative of m**6/480 - m**5/240 - m**4/6 - 5*m**3/6 + 541*m**2. Suppose r(u) = 0. Calculate u.
-2, 5
What is d in 95*d + 20*d**4 + 22 + 21 - 30*d + 75*d**3 + 105*d**2 - 28 = 0?
-1, -3/4
Suppose 6*h + 16 - 34 = 0. Suppose 0 = p - a + 2, -7*p + h*p + 4 = 2*a. Factor p - 54/5*k**2 + 54/5*k + 18/5*k**3 - 2/5*k**4.
-2*k*(k - 3)**3/5
Let j(r) be the second derivative of r**7/280 + r**6/40 + r**3/3 - 2*r. Let x(l) be the second derivative of j(l). Factor x(p).
3*p**2*(p + 3)
Suppose 16 = -50*r + 54*r. Suppose 5*c = 3*a - 2*a + 5, 5*a - 33 = -r*c. Factor 0*o + 0 + 1/4*o**a + o**3 + o**4 + 0*o**2.
o**3*(o + 2)**2/4
Find l such that -24*l + 8 + 13 + 2*l**2 - 10 + 29 = 0.
2, 10
Suppose 0 = -5*h + 3*p + 14, 2*p - 6*p = -3*h + 4. Suppose 0*i - 12 = -h*i. Factor 2*b**3 + 0*b**2 - 4*b**3 + i*b**3 + b - 2*b**2.
b*(b - 1)**2
Suppose 3*j - 3*b = 0, -22*j + 3*b - 21 = -26*j. Let h(m) be the first derivative of -9/14*m**2 + 0*m + 11 + 1/7*m**j. Factor h(l).
3*l*(l - 3)/7
Suppose -2*w + 44 = -6*w. Let p be (w - (3 + -18)) + (-13)/4. Suppose 3/4*y**2 - 3/4*y**4 + 0 + 3/4*y**3 - p*y = 0. What is y?
-1, 0, 1
Let d(b) = 8*b**5 + 64*b**4 - 28*b**3 - 28*b**2 + 20*b - 14. Let c(w) = -w**5 - 9*w**4 + 4*w**3 + 4*w**2 - 3*w + 2. Let h(l) = -44*c(l) - 6*d(l). Factor h(r).
-4*(r - 1)**4*(r + 1)
Let c = 12 + -12. Suppose 2*i + 2*r = 2, -4*r = i - c*r + 14. Factor 3*s**5 - 9*s**3 - i*s**4 - 3*s**3 + 6*s**2 + 9*s**3.
3*s**2*(s - 2)*(s - 1)*(s + 1)
Let j(l) be the first derivative of 6/5*l - 39/10*l**2 - 22 + 6/5*l**3. Solve j(g) = 0 for g.
1/6, 2
Factor 2/9*m**2 - 2/9*m**3 + 16/3*m + 8.
-2*(m - 6)*(m + 2)*(m + 3)/9
Let s(i) be the first derivative of i**4/8 + 5*i**3/6 + i**2 - 214. Let s(g) = 0. Calculate g.
-4, -1, 0
Solve -25 - 2*f + 10*f**3 - 5*f**4 + 45*f**2 + 0*f**4 - 8*f - 15 = 0 for f.
-2, -1, 1, 4
Let l = 63 + -53. Factor -5 - 6*q**2 - l*q + 1 - 21 + 5*q**2.
-(q + 5)**2
Factor -2/7*m**5 - 144/7 - 312/7*m - 114/