n - 1)**2
Let h = 15/52 - -6/13. Let v(a) be the first derivative of h*a**4 + 0*a**3 + 2 + 0*a**2 + 0*a - 3/10*a**5. Solve v(l) = 0.
0, 2
Let u(g) be the third derivative of 1/180*g**6 + 0*g**4 - 11*g**2 + 0*g - 1/504*g**8 + 0*g**3 + 0 - 1/315*g**7 + 1/90*g**5. Factor u(h).
-2*h**2*(h - 1)*(h + 1)**2/3
Let g(d) be the first derivative of -1/180*d**5 - 1/9*d**3 - 5/2*d**2 - 4 + 1/24*d**4 + 0*d. Let w(i) be the second derivative of g(i). Factor w(u).
-(u - 2)*(u - 1)/3
Let o be (-2 - 2) + 7 + 6 + 165/(-20). Factor 3/8*v**2 - o*v + 3/8.
3*(v - 1)**2/8
Determine y so that -5*y**3 - 4*y**4 + 37*y**3 - 8*y**2 + 22*y**4 = 0.
-2, 0, 2/9
Factor 1/5*j**5 - 17/5*j**2 - 3/5*j**4 + 0 - 3*j**3 - 6/5*j.
j*(j - 6)*(j + 1)**3/5
Let u(v) be the third derivative of v**8/192 + 41*v**7/420 + 19*v**6/40 - 3*v**5/10 - 47*v**2. Find p such that u(p) = 0.
-6, 0, 2/7
Factor 1/3*q**4 - 7/3*q**3 - 8/3*q + 14/3*q**2 + 0.
q*(q - 4)*(q - 2)*(q - 1)/3
Solve -29/11*v**4 + 0 + 0*v + 3/11*v**5 + 65/11*v**3 + 25/11*v**2 = 0.
-1/3, 0, 5
Let i(d) be the second derivative of -d**7/3024 - d**6/288 - d**5/72 + d**4/12 + 17*d. Let z(l) be the third derivative of i(l). Suppose z(t) = 0. Calculate t.
-2, -1
Let q = -5485 + 5485. Factor -1/2*i**3 - 1/2*i**2 + i + q.
-i*(i - 1)*(i + 2)/2
Let r = 21986/483 - 30/161. Find n, given that 4*n**4 + 32/3 + r*n**2 + 112/3*n + 68/3*n**3 = 0.
-2, -1, -2/3
Let o(p) be the third derivative of -p**7/70 + 7*p**6/15 - 93*p**5/20 + 27*p**4/4 + 130*p**2. Determine g, given that o(g) = 0.
0, 2/3, 9
Find x, given that 590/3*x**2 - 40/3 - 140/3*x**5 - 20/3*x - 415/3*x**4 + 25/3*x**3 = 0.
-2, -1/4, 2/7, 1
Let t(p) be the first derivative of -p**5/120 + p**4/72 + p**3/18 - p + 11. Let k(c) be the first derivative of t(c). Factor k(b).
-b*(b - 2)*(b + 1)/6
Factor -3082/11*f - 86/11*f**4 + 1058/11 - 788/11*f**3 - 2/11*f**5 + 2900/11*f**2.
-2*(f - 1)**3*(f + 23)**2/11
Let s(w) be the first derivative of -w**5/30 + 37*w**4/24 - 323*w**3/18 - 361*w**2/12 + 101. Suppose s(v) = 0. Calculate v.
-1, 0, 19
Solve -2/7*x**4 + 36/7 - 18/7*x**3 + 58/7*x + 6/7*x**2 = 0.
-9, -1, 2
Let x(c) be the second derivative of 6*c**7/7 - 8*c**6 - 26*c**5/5 + 12*c**4 - 14*c**3/3 + 306*c. What is b in x(b) = 0?
-1, 0, 1/3, 7
Let g(k) be the third derivative of 1/20*k**5 + 0*k + 33*k**2 + 0*k**3 + 0 - 1/8*k**4. Factor g(u).
3*u*(u - 1)
Factor -6*j**3 + 54*j**5 + 10*j**4 + 57*j**5 - 18*j**2 - 113*j**5.
-2*j**2*(j - 3)**2*(j + 1)
Factor -51/4*k**2 + 3*k + 0.
-3*k*(17*k - 4)/4
Let -12500*l**3 + 12435*l**3 - 10*l - 55*l**2 + 2*l**4 - 22*l**4 = 0. What is l?
-2, -1, -1/4, 0
Suppose -64*c + 2*c + 62 = 0. Factor -c + 9/2*b**2 + 7/2*b.
(b + 1)*(9*b - 2)/2
Let t = -2567/55 - -520/11. Suppose 12/5 + 9/5*a - t*a**2 = 0. What is a?
-1, 4
Let w be 22/(-11) - (2 - 2). Let q be (-2 - 0)*(-18)/(-8)*w. Solve -q*k + 18/7*k**3 - 3/7*k**5 + 30/7*k**2 - 9/7*k**4 + 27/7 = 0 for k.
-3, 1
Let k(g) = 9*g**3 - 165*g**2 + 303*g - 152. Let h(m) = -8*m**3 + 164*m**2 - 304*m + 152. Let c(d) = -5*h(d) - 4*k(d). Determine f, given that c(f) = 0.
1, 38
Let v(t) = 57*t**3 - 45*t**2 + 21*t + 102. Let j(s) = -11*s**3 + 9*s**2 - 4*s - 20. Let h(o) = -21*j(o) - 4*v(o). Factor h(x).
3*(x - 2)**2*(x + 1)
Let a(i) be the third derivative of -i**5/16 - i**4/16 + 7*i**3/8 - 4*i**2 + 2. Factor a(n).
-3*(n - 1)*(5*n + 7)/4
Let n(q) be the first derivative of -169*q**5/20 - 13*q**4/2 - 2*q**3 - 13*q**2/2 - 13. Let p(c) be the second derivative of n(c). Factor p(d).
-3*(13*d + 2)**2
Let c(r) be the second derivative of -r**10/7560 + r**8/560 - r**7/315 - 8*r**4/3 - 22*r. Let i(m) be the third derivative of c(m). Factor i(d).
-4*d**2*(d - 1)**2*(d + 2)
Let o(y) be the first derivative of 1/10*y**5 - 1/3*y**3 - y**2 + 1/6*y**4 - 1 + 2*y. Let f(j) be the first derivative of o(j). Factor f(a).
2*(a - 1)*(a + 1)**2
Suppose o + 3*o - 80 = 0. Suppose -5*y = -20 - o. Solve 5*t**2 - 2*t**2 - y - t**2 = 0.
-2, 2
Let x(l) be the first derivative of -l**4 - 20*l**3/3 - 8*l**2 + 373. Determine u, given that x(u) = 0.
-4, -1, 0
Let l(b) be the second derivative of 4*b + 0 + 1/60*b**4 + 1/150*b**6 - 1/10*b**3 + 3/100*b**5 - 1/5*b**2. Solve l(h) = 0 for h.
-2, -1, 1
Let 0*p**5 + 193*p**4 - 141*p**4 + 4*p**5 + 48*p**3 = 0. Calculate p.
-12, -1, 0
Factor -20/7*g**3 + 0*g + 3/7*g**4 + 12/7*g**2 + 0.
g**2*(g - 6)*(3*g - 2)/7
Let y be (-1 - (-381)/372)/((-57)/(-597)). Let j = y + -2/589. Let 0*o + 0 - 3/4*o**3 - j*o**5 - 1/4*o**2 - 3/4*o**4 = 0. Calculate o.
-1, 0
Let v(p) be the second derivative of -p**6/90 + 3*p**5/20 - 5*p**4/9 + 2*p**3/3 - 2*p - 21. What is i in v(i) = 0?
0, 1, 2, 6
Suppose -2*d + 6*d = 0. Let l be (0 - (d + 1)) + (-24)/(-18). Suppose -1/3*t**2 + 1/3 - 1/3*t + l*t**3 = 0. What is t?
-1, 1
Let r = -99 + 94. Let v be 16/12*r/(-20). Factor -1/3*c**2 + 1/3*c**4 + 0 + v*c**3 - 1/3*c**5 + 0*c.
-c**2*(c - 1)**2*(c + 1)/3
Let s(r) be the first derivative of 10 + 3*r**3 + 15*r - 3/4*r**4 + 27/2*r**2. Solve s(q) = 0.
-1, 5
Suppose -239*y = -245*y + 18. Let r(u) be the second derivative of 3*u**2 - u + 0 + 1/4*u**4 - 3/2*u**y. Determine f so that r(f) = 0.
1, 2
Let n(u) be the first derivative of 2*u**3/39 - 12*u**2/13 + 72*u/13 + 662. Find x such that n(x) = 0.
6
Let m(u) = -u**3 + 4*u**2 - u - 3. Let a = 10 + -7. Let j be m(a). Factor 3*b**4 - 4*b**4 + b**3 + b**3 - j*b**3.
-b**3*(b + 1)
Let f(m) be the third derivative of 1/12*m**4 + 0*m**3 + 0*m + 13*m**2 + 0 + 1/30*m**5. Determine u so that f(u) = 0.
-1, 0
Let b = 11135/2 - 5567. Factor b + 1/4*a**3 - 3/4*a + 0*a**2.
(a - 1)**2*(a + 2)/4
Let d(s) = -12*s + 85. Let t be d(7). Let p(w) be the first derivative of -1/2*w**3 + 3*w**2 - 6*w - t. Factor p(z).
-3*(z - 2)**2/2
Let y(g) be the first derivative of -1/6*g**4 - 11 - 2/3*g**3 + 1/3*g**2 + 2*g. Factor y(k).
-2*(k - 1)*(k + 1)*(k + 3)/3
Let i be (-2)/(-5) - 6744/1260. Let r = i - -44/7. Suppose 2/3*o**4 + r*o**2 + 0*o + 0 + 2*o**3 = 0. Calculate o.
-2, -1, 0
Let f(m) be the second derivative of -2*m - 3/5*m**5 - 1/4*m**4 + 2*m**3 + 3/2*m**2 + 24. Factor f(n).
-3*(n - 1)*(n + 1)*(4*n + 1)
Let x be 144/(-168) + 18/21. Factor 0*y**2 + 0 + 1/3*y**5 - 2/3*y**3 + 1/3*y + x*y**4.
y*(y - 1)**2*(y + 1)**2/3
Factor 11/2*w**2 + 5/3*w**3 + 8/3 + 20/3*w + 1/6*w**4.
(w + 1)**2*(w + 4)**2/6
Let k(w) = -10*w**5 - 52*w**4 - 7*w**3 - 7*w**2 - 7. Let n(c) = -7*c**5 - 35*c**4 - 5*c**3 - 5*c**2 - 5. Let y(a) = -5*k(a) + 7*n(a). Factor y(l).
l**4*(l + 15)
Suppose -a = -3*a + 6. Suppose a*w - 6 = q, -9 = -q - 4*w + 2*w. Determine o, given that -9*o**2 + 8 - o - 2 + 3*o**3 + q*o**4 - 2*o = 0.
-2, -1, 1
Let g(f) = -f**3 + 5*f**2 + 6*f + 7. Let q be g(6). Factor q*o**5 - o**2 + o - 19*o**4 - 3*o - 13*o**3 + 28*o**3.
o*(o - 1)**3*(7*o + 2)
Suppose 40 = 27*d - 7*d. Determine z so that 5/3*z**d - 2/3*z + 0 = 0.
0, 2/5
Find p such that -9*p - 18 - 23*p**2 + 47*p**2 - 25*p**2 = 0.
-6, -3
Let c(x) be the first derivative of -17 + 0*x - 10/27*x**3 + 1/9*x**2 + 2/9*x**4. Suppose c(i) = 0. Calculate i.
0, 1/4, 1
Let a be (-100)/(-12) + (-2)/6. Let y be 4/(-2) - (-14 + a). Let -2*f**2 + f**2 - y*f**4 + 3*f**4 + 2*f**3 = 0. Calculate f.
0, 1
Let k(p) = -9*p**5 - 6*p**4 - 3*p**3 + 6*p**2 - 6*p. Let v = 104 + -98. Let u(o) = o**5 + o**4 + o**3 - o**2 + o. Let f(n) = v*u(n) + k(n). Solve f(h) = 0.
-1, 0, 1
Determine d, given that -48*d**4 + 0*d**2 - 4*d**2 + 42*d**4 + 4*d**2 - 4*d**3 - 2*d**5 = 0.
-2, -1, 0
Suppose 2*o - 18*o - 352 = 0. Let y be o/66*(1 + -1). Solve y*q + 2*q**3 - 4/7*q**2 + 0 = 0.
0, 2/7
Let c(u) = 9*u**4 + 82*u**3 + 73*u**2 - 8*u. Let i(g) = -6*g**4 - 55*g**3 - 49*g**2 + 5*g. Let r(s) = 5*c(s) + 8*i(s). Factor r(q).
-3*q**2*(q + 1)*(q + 9)
Let u(z) be the third derivative of -1/48*z**4 - 8*z**2 + 0*z + 0 + 0*z**3 - 1/240*z**6 + 1/60*z**5. Factor u(k).
-k*(k - 1)**2/2
Let b be ((-9)/7 + 1)*(-378)/216. Factor 1/6 - 1/3*h - b*h**2.
-(h + 1)*(3*h - 1)/6
Let g(t) = -3*t**3 - 4*t**2 + 3*t. Let s(w) = 3*w**3 + 6*w**2 - 3*w. Let c(z) = -3*g(z) - 2*s(z). Solve c(y) = 0.
-1, 0, 1
Find b such that -92*b - 167*b**2 + 314*b**2 - 149*b**2 = 0.
-46, 0
Suppose p - 2*g = 12, 0 = 3*p - 4*g - g - 31. Suppose p*u - 8*u - 16*u**2 - 8*u - 8 - 4*u**3 - 6*u = 0. Calculate u.
-2, -1
Let d be 319/4653 - 8/(-188). Let v(b) be the second derivative of 0 - d*b**2 + 1/9*b**3 + 12*b +