120*r**3 - o - 2*r**2 - 44*r**3.
-2*(r - 1)**2*(r + 3)
Let d be -5 - -10 - (-12)/(-2 - 4). Factor -2/3 - 1/3*f**2 - 2/3*f**d + 5/3*f.
-(f - 1)*(f + 2)*(2*f - 1)/3
Let x(g) be the third derivative of -3*g**2 + 1/120*g**6 + 0 - 3/8*g**4 + 1/2*g**3 + 1/20*g**5 + 0*g. Let k(s) be the first derivative of x(s). Solve k(h) = 0.
-3, 1
Let m = 206 + -191. Suppose -m*k + 11*k + 8 = 0. Find w such that 12/5*w - 3/5*w**3 + 0*w**k + 0 = 0.
-2, 0, 2
Let l = 30 - 27. Let v be (-2 - -1)/(7/(-35)). Solve 2/3*t**4 + 1/3*t**2 + 1/6*t**v + 5/6*t**l + 0 + 0*t = 0 for t.
-2, -1, 0
Suppose n - 40 = -4*n. Suppose 1613 + 4723 = n*m. Solve 37*v**2 - 324*v**5 - 16*v + 138*v**2 + v**2 - 628*v**3 + m*v**4 = 0 for v.
0, 2/9, 1
Suppose 3*h + 8*h + 616 = 0. Let l be (-4)/10 + h/10 + 8. Determine m so that -15/4*m**l - 9/4 - 21/4*m - 3/4*m**3 = 0.
-3, -1
Suppose 10 = 2*g + 3*g. Factor -15*i**g + i**2 + 2*i**2 + 8*i**2 + 4 + 2*i - 2*i**3.
-2*(i - 1)*(i + 1)*(i + 2)
Let l be (2/(-4) + -3)*-2. Factor -l - 4*m**2 - 8 + 15.
-4*m**2
Let n be 0/1 + 4 + 0. Let x be n/(-18) + (-3)/27*-26. Factor -2/3 - 25/6*j**2 - 1/6*j**5 - 7/6*j**4 - x*j - 19/6*j**3.
-(j + 1)**3*(j + 2)**2/6
Suppose 2*u = 3*h + 57, -5*u + 39 = h - 78. Let i be -3*(u/9)/(-4). Let a**2 + a - 2 - i*a**2 + 2 = 0. What is a?
0, 1
Suppose -5*p - 38 = 97. Let n = p - -32. Factor 21*r**3 + n*r**2 - r**3 + r - r + 25*r**4 + 10*r**5.
5*r**2*(r + 1)**2*(2*r + 1)
Let u(k) be the third derivative of k**5/180 - 167*k**4/36 + 27889*k**3/18 - 2*k**2 + 457*k. Find z, given that u(z) = 0.
167
Let t = 48933/34 + -2889/2. Let m = -134/51 - t. Factor -5/3*c**4 + 4/3*c**2 - m*c + 2*c**3 + 0 + 1/3*c**5.
c*(c - 2)**3*(c + 1)/3
Let r(m) be the first derivative of -m**8/6720 - m**7/1120 + m**6/1440 + m**5/160 + 8*m**3/3 - 12. Let d(i) be the third derivative of r(i). Factor d(j).
-j*(j - 1)*(j + 1)*(j + 3)/4
Factor -12*k - 45/4*k**2 + 0.
-3*k*(15*k + 16)/4
Suppose 12*t - 6*t - 6 = 0. Let 84*v**3 + t + 8*v**5 - 58*v**4 + 5 + 12*v**4 + 4*v - 68*v**2 + 12*v**2 = 0. What is v?
-1/4, 1, 3
Let r = 54817/41115 - -1/13705. Determine q, given that -r*q**4 + 0*q**2 - 4*q**3 + 0 + 16/3*q = 0.
-2, 0, 1
Let s(h) be the first derivative of 11/16*h**4 + 0*h + 1/6*h**3 - 4 + 0*h**2 + 1/2*h**6 + h**5. Determine k so that s(k) = 0.
-2/3, -1/2, 0
Let b be (-36)/28 + 2/7. Let w = b + 3. Find m such that 3 - 9*m - 9*m**4 + w*m**5 + m**5 + 9*m**2 + 6*m**3 - 3*m**2 = 0.
-1, 1
Let b be 1*(1 - -2) + (-4 - 216). Let w = -215 - b. Factor 4/13*c**w + 10/13*c**3 + 0*c - 14/13*c**4 + 0.
-2*c**2*(c - 1)*(7*c + 2)/13
Let v(g) = 3*g**2 + 39*g + 38. Let d be v(-12). Let w(l) be the first derivative of 0*l - l**3 + 0*l**d - 2 - 3/8*l**4. Factor w(p).
-3*p**2*(p + 2)/2
Let d(u) be the first derivative of -35*u**4/4 - 20*u**3 - 15*u**2/2 + 10*u + 9. Let d(r) = 0. What is r?
-1, 2/7
Let n(h) be the second derivative of 0*h**2 + 2/3*h**3 + 0 - 1/3*h**4 + h. Find p such that n(p) = 0.
0, 1
Let z(v) be the third derivative of 0 - 2/15*v**3 + 0*v - 1/20*v**5 - 1/1050*v**7 - 5*v**2 - 13/120*v**4 - 7/600*v**6. Find i such that z(i) = 0.
-4, -1
Let w(r) be the first derivative of r**6/33 - r**4/2 - 12*r**3/11 - 8*r**2/11 - 464. Determine t so that w(t) = 0.
-2, -1, 0, 4
Let d(b) be the second derivative of 0 + 0*b**2 + 2/5*b**5 + 0*b**3 - 1/3*b**4 + 19*b. What is f in d(f) = 0?
0, 1/2
Let h = -6261/4 + 1567. Let x(w) be the first derivative of 2/3*w**3 - w + 7/12*w**6 + 7/4*w**2 - h*w**4 - 1/5*w**5 - 1. What is p in x(p) = 0?
-1, 2/7, 1
Determine u, given that 3/2*u**3 + 3*u**2 - 45/2*u - 54 = 0.
-3, 4
Let y = -26/129 + 66/43. Factor 7*d**3 - 8*d - y - 29/3*d**2.
(d - 2)*(3*d + 1)*(7*d + 2)/3
What is z in -8*z + 2/5*z**2 - 42/5 = 0?
-1, 21
Let o(c) = c**4 - c - 2. Let j(r) = -6*r**4 + 205*r**3 + 425*r**2 + 216*r + 2. Let z(b) = j(b) + o(b). Find w, given that z(w) = 0.
-1, 0, 43
Let j(y) be the second derivative of -y**4/3 - 4*y**3 + 32*y**2 + 29*y. Factor j(k).
-4*(k - 2)*(k + 8)
Let s(v) be the first derivative of 0*v**4 - 3 + 0*v**2 + 0*v**3 + 0*v - 3/10*v**5 + 1/4*v**6. Solve s(z) = 0 for z.
0, 1
Factor 2/9*z**2 - 20/9 - 2/3*z.
2*(z - 5)*(z + 2)/9
Let v(s) be the second derivative of -s**7/4200 - s**6/1800 - s**3 + 5*s. Let f(z) be the second derivative of v(z). Let f(n) = 0. What is n?
-1, 0
Let m be 14/21 + (-4)/24 + 1. Determine t, given that 0 + 0*t + 6*t**2 - m*t**3 = 0.
0, 4
Let s(d) be the second derivative of -5*d**7/42 + 5*d**6/6 - 5*d**5/4 - 25*d**4/12 + 5*d**3 - 91*d. Determine f so that s(f) = 0.
-1, 0, 1, 2, 3
Let q = -297 - -300. Let x(p) = -p + 3*p - p**2 + 1 - p + p**3. Let o(u) = -8*u**3 + 11*u**2 - 10*u - 7. Let v(b) = q*o(b) + 21*x(b). Factor v(y).
-3*y*(y - 3)*(y - 1)
Find b, given that b**2 - 2*b + 0 - 1/4*b**4 + 1/2*b**3 = 0.
-2, 0, 2
Let y(p) be the first derivative of 16 + 1/66*p**6 + 1/22*p**2 + 4/33*p**3 + 0*p + 3/22*p**4 + 4/55*p**5. Factor y(o).
o*(o + 1)**4/11
Suppose -3/2*g**2 + 18 - 6*g = 0. What is g?
-6, 2
Let k(u) be the third derivative of -u**7/42 + u**6/3 - u**5/2 - 5*u**4/3 + 35*u**3/6 + 3*u**2 + 21. Factor k(w).
-5*(w - 7)*(w - 1)**2*(w + 1)
Let r = 14235 - 42205/3. What is j in 50*j**2 + 625/3 + 1/3*j**4 + r*j + 20/3*j**3 = 0?
-5
Let w = -34104 - -34106. Factor -2/9*c**3 + 2/9*c + 2/9 - 2/9*c**w.
-2*(c - 1)*(c + 1)**2/9
Let s(b) be the first derivative of 2/21*b**3 - 1/7*b**2 - 5 + 0*b. Suppose s(v) = 0. Calculate v.
0, 1
Suppose -2*o = 2*i + 114, -3*o - 2 = -4*o. Let w = 89 + i. Factor 1 - 20*j - 10*j**2 - 9*j**4 - 5 - w*j**3 - 27*j**2.
-(j + 1)**2*(3*j + 2)**2
Factor 6/5*b**2 - 3/5*b - 3/5*b**3 + 0.
-3*b*(b - 1)**2/5
Let s be ((-7)/((-252)/135))/((-10)/(-4)). Factor g + s - 1/2*g**2.
-(g - 3)*(g + 1)/2
Let c(f) be the first derivative of 2*f**3/33 + 7*f**2/11 - 16*f/11 - 80. Factor c(u).
2*(u - 1)*(u + 8)/11
Factor -115*b**3 - b**2 + 231*b**3 - 2*b**4 + 0*b + 9*b**2 - 106*b**3 + 96 - 88*b.
-2*(b - 4)*(b - 2)**2*(b + 3)
Let v = 31355 - 31352. Let 7/5 - 22/5*g + 24/5*g**2 - 2*g**v + 1/5*g**4 = 0. Calculate g.
1, 7
Let o = 2069/590 + -2/295. Let x be 3*(2 + 8/(-6)). Factor -11/2*y**x + 0 - o*y**4 + 8*y**3 + y.
-y*(y - 1)**2*(7*y - 2)/2
Suppose -b = 5*x - 7, 2*x - 10 = 2*b - 0*b. Let r(v) be the second derivative of 0*v**4 - 1/2*v**3 + v + 1/20*v**5 + 0 - v**x. Factor r(u).
(u - 2)*(u + 1)**2
Let s(q) be the third derivative of -1/9*q**5 + 8/315*q**7 - 5*q**2 - 1/36*q**4 + 2/9*q**3 + 0*q + 0 - 1/45*q**6 + 5/504*q**8. Solve s(b) = 0 for b.
-1, 2/5, 1
Let l(x) = -2*x - 5. Let u be l(-4). Let h = 2492/15 - 496/3. Determine t, given that 2/5 - 2/5*t**4 + 0*t**2 + 4/5*t**u - h*t = 0.
-1, 1
Let w(t) be the first derivative of 2*t**3/21 - 13*t**2/7 - 4*t + 13. Solve w(k) = 0.
-1, 14
Let c be (28/15 + (-30)/(-225))*3. Let q(z) be the first derivative of -c + 12*z**2 - 4/3*z**3 - 36*z. Suppose q(d) = 0. Calculate d.
3
Suppose -33 = -8*c - 3*c. Let g(x) be the second derivative of 0 + 0*x**2 + 5/54*x**4 - 2/27*x**c - 4*x. Suppose g(v) = 0. What is v?
0, 2/5
Let c(x) be the third derivative of -3/140*x**5 + 0 - 1/14*x**4 + 1/280*x**6 + 0*x**3 + 0*x + 14*x**2. Suppose c(l) = 0. What is l?
-1, 0, 4
Let n = -230 - -118. Let b = 112 + n. Factor -1/3*k**5 + b + 0*k**3 + 0*k + 0*k**2 + 1/3*k**4.
-k**4*(k - 1)/3
Let b = -102 + 105. Let -56*u**b + 27*u - 23*u - 12*u**5 + 44*u**4 + 24*u**2 + 2 - 6 = 0. Calculate u.
-1/3, 1
Let z be -4 - 0/(-2) - -7 - -115. Let t = 120 - z. Suppose 0 - 2/3*f**2 + t*f = 0. What is f?
0, 3
Let j(r) = 13*r**4 + 11*r**3 - 2*r**2 - 5. Let g(o) = 54*o**4 + 45*o**3 - 9*o**2 - 21. Let u(q) = 5*g(q) - 21*j(q). Determine m, given that u(m) = 0.
-1, 0
Factor 3*o**2 - 14*o**3 + 6*o**2 + 6*o**3 - 2*o - 3 + 4*o**2.
-(o - 1)**2*(8*o + 3)
Factor -90*y**4 - 3*y**2 + 5*y**3 - y**5 - 4*y - 67*y**4 + 160*y**4.
-y*(y - 4)*(y - 1)*(y + 1)**2
Let q(x) be the second derivative of x**6/6 + 11*x**5/4 + 45*x**4/4 + 125*x**3/6 + 20*x**2 - 145*x. Find m such that q(m) = 0.
-8, -1
Let b(u) be the second derivative of u**5/10 + u**4/2 - 4*u**2 - 86*u. Factor b(c).
2*(c - 1)*(c + 2)**2
Suppose -h = -0*c - 5*c, -c + 5*h = 0. Suppose -8140*v + 8152*v + c*v**2 - 3*v**2 + 15 = 0. What is v?
-1, 5
Let r(q) be the first derivative of q**6/135 + 2*q**5/45 + q**4/9 + 4*q**3/27 + q**2/9 + 14*q - 9. Let g(t) be the first derivative of r(t). Factor g(p).
2*(p + 1)**4/9