2/5*q**5 + 4/5*q**2 - 2*q**3 + 0 + 0*q.
-2*q**2*(q - 2)*(q - 1)**2/5
Suppose p = -3*w + 10, -5*w + 4*w + p + 2 = 0. Factor 12*j**2 + 6*j + w + 3*j**2 - 8 + 4*j.
5*(j + 1)*(3*j - 1)
Let g be ((-640)/8000)/(22/(-10) + 2). Factor -4/5*j - g + 2/5*j**4 + 4/5*j**3 + 0*j**2.
2*(j - 1)*(j + 1)**3/5
Suppose 5*g + 5 = 6*g. Suppose -g*w + 3*o = 6*o - 27, -w + o - 1 = 0. Factor 1/3*k**w - 1/3*k**4 + 0 - 1/3*k**5 + 0*k + 1/3*k**2.
-k**2*(k - 1)*(k + 1)**2/3
Let t = -15 + 20. Solve -6 + t*b**2 - 376*b + 366*b + 11 = 0 for b.
1
Suppose 59*g = 58*g. What is u in -2/11*u**3 + g + 4/11*u**2 - 2/11*u = 0?
0, 1
What is h in 18/5*h**2 + 14/5*h**4 - 31/5*h**3 + 1/5*h - 2/5 = 0?
-2/7, 1/2, 1
Suppose 0*v = -3*v + 6. Suppose -6 = -3*w + v*h + 3, 5*h + 3 = w. Solve d**5 - 2*d**3 + 3*d**w - 9 - 2*d**4 + 9 = 0.
0, 1
Let b(y) be the third derivative of y**7/1260 + y**6/120 + y**5/30 - y**4/12 - 17*y**2. Let g(v) be the second derivative of b(v). Factor g(l).
2*(l + 1)*(l + 2)
Factor 500 - 234 + b**2 - 226 + 13*b.
(b + 5)*(b + 8)
Let c be 52/(-234) - (-80)/90. Let p be (-8)/4 + 8/3. Solve -4/3*m + p*m**4 + 0 - 2/3*m**5 - c*m**2 + 2*m**3 = 0 for m.
-1, 0, 1, 2
Solve 0 - 2401/5*l**3 - 98/5*l**4 + 0*l - 1/5*l**5 + 0*l**2 = 0.
-49, 0
Let v(s) = s**2 - 7*s + 3. Let p be v(7). Let q = 22 + -22. Factor 2/3*n**p + 0*n**2 + q - 2/3*n.
2*n*(n - 1)*(n + 1)/3
Let d(j) be the first derivative of j**4/20 + 26*j**3/15 - 58*j**2/5 + 24*j - 137. What is a in d(a) = 0?
-30, 2
Suppose c = 2*c + 2. Let g = 4 + c. Determine y, given that -y**g - 11*y + 14*y - 5*y**2 + 6*y**4 - 3*y**5 = 0.
-1, 0, 1
Let l(j) be the first derivative of -2*j**3/15 - 24*j**2/5 + 10*j + 54. Factor l(o).
-2*(o - 1)*(o + 25)/5
Let s(u) be the first derivative of -3*u**5/5 + 147*u**4/2 - 2497*u**3 + 7056*u**2 - 6912*u + 153. Factor s(t).
-3*(t - 48)**2*(t - 1)**2
Let q(u) be the third derivative of u**6/300 - 2*u**5/75 - u**4/20 + 6*u**3/5 - 4*u**2 - 6*u. Factor q(d).
2*(d - 3)**2*(d + 2)/5
Let b(q) be the third derivative of 14*q**2 + 3/28*q**8 - 4/3*q**3 - 22/15*q**5 + 0 + 16/35*q**7 + 0*q + 2/15*q**6 - 13/6*q**4. Find r, given that b(r) = 0.
-2, -1, -1/3, 1
Find r, given that 0 - 2/5*r**3 - 6/5*r - 2/5*r**4 + 2*r**2 = 0.
-3, 0, 1
Suppose 5*u - 20 = 5. Suppose -b + u = 3. Solve 4*z**2 + 3*z - b*z + 11*z - 8 - 12*z**3 + 4*z**4 = 0 for z.
-1, 1, 2
Let u be (1*10/(-6))/(18/(-54)). Suppose -9*l + 16 = -u*l. Let 0*f**2 - 2/5*f**3 - 4/5*f**l - 2/5*f**5 + 0 + 0*f = 0. Calculate f.
-1, 0
Factor -1922/7 - 18*o**2 - 2/7*o**3 - 2046/7*o.
-2*(o + 1)*(o + 31)**2/7
Let j(f) be the first derivative of 1/22*f**4 + 0*f**2 - 10/33*f**3 + 16 + 0*f. Solve j(y) = 0 for y.
0, 5
Let n(y) = y**3 - 25*y**2 + 102*y - 31. Let f be n(20). Let 18*t - f*t**2 - 12 + 3/2*t**3 = 0. Calculate t.
2
Let d be (-2)/1 - (1819/(-434) + 3). Let y = 3/62 - d. Factor -y*z**3 + 2/7*z**2 - 4/7 + 6/7*z + 2/7*z**4.
2*(z - 2)*(z - 1)**2*(z + 1)/7
Let q(n) be the first derivative of 7/25*n**5 + 0*n**2 + 0*n + 1/3*n**3 + 11/20*n**4 + 1/30*n**6 - 7. Solve q(t) = 0 for t.
-5, -1, 0
Let b(c) be the first derivative of 2/3*c**3 - 7/2*c**2 + 8 + 4*c + 1/4*c**4. Suppose b(f) = 0. What is f?
-4, 1
Let 0*z + 1/4*z**3 - 1/4*z**5 - 3/4*z**2 + 3/4*z**4 + 0 = 0. What is z?
-1, 0, 1, 3
Let p(c) be the first derivative of 4*c**5/35 - 52*c**4/7 + 1352*c**3/7 - 17576*c**2/7 + 114244*c/7 + 124. Suppose p(o) = 0. Calculate o.
13
Let b = 1485 - 1482. Let k(p) be the first derivative of 3/2*p + 7 - 9/8*p**2 - 5/4*p**b. Factor k(j).
-3*(j + 1)*(5*j - 2)/4
Factor 110/3 - 35/2*c**2 + 20*c - 5/6*c**3.
-5*(c - 2)*(c + 1)*(c + 22)/6
Let i(k) be the second derivative of -42*k + 0*k**2 + 3/13*k**3 + 0 - 5/39*k**4 + 1/130*k**5. Find y such that i(y) = 0.
0, 1, 9
Suppose 7/6*q**2 + 1/6*q**4 + q - 4/3 - q**3 = 0. What is q?
-1, 1, 2, 4
Suppose -18 = 5*g - 4*w, -134 = -2*g - 3*w - 109. Find a such that 0*a - 1/2*a**2 + g = 0.
-2, 2
Let h(l) be the third derivative of -1/14*l**3 + 1/420*l**5 + 0*l - 5*l**2 - 1/84*l**4 + 0. Suppose h(i) = 0. Calculate i.
-1, 3
Let 7200 - 1569/10*x**3 + 33/5*x**4 + 1574*x**2 - 1/10*x**5 - 5880*x = 0. What is x?
3, 20
Let r(m) = -6*m**4 + 30*m**3 - 44*m**2 - 248*m - 256. Let w(o) = o**4 - 6*o**3 + 9*o**2 + 50*o + 51. Let b(v) = 3*r(v) + 16*w(v). Factor b(d).
-2*(d - 3)*(d + 2)**3
Let c(g) = 81*g + 66. Let r(l) = -l**2 - 162*l - 136. Let p(u) = 5*c(u) + 3*r(u). Factor p(n).
-3*(n + 1)*(n + 26)
Factor 2*f - 20/9*f**2 + 0 + 2/9*f**3.
2*f*(f - 9)*(f - 1)/9
Suppose t + t = 4. Factor -2*v**2 + v**4 - 2*v**5 - 3*v**4 + 4*v**t - 3*v**3 + 5*v**3.
-2*v**2*(v - 1)*(v + 1)**2
Let v(f) be the third derivative of -f**8/168 + 4*f**7/245 + f**6/7 - 11*f**5/21 + 9*f**4/28 + 6*f**3/7 - 25*f**2 + 3. Suppose v(s) = 0. What is s?
-3, -2/7, 1, 3
Let z = 5/27 - 1/54. Let k(j) be the second derivative of 0*j**3 - 4*j + 0 - j**2 + z*j**4. Determine r so that k(r) = 0.
-1, 1
Let f(n) be the first derivative of -4*n**5/5 + 26*n**4 - 92*n**3 - 528. Factor f(g).
-4*g**2*(g - 23)*(g - 3)
Let c(d) = d**3 - 2*d**2 + d. Let y be c(1). Let r = -6312/5 + 1263. Factor -r*q**2 + 3/5 + y*q.
-3*(q - 1)*(q + 1)/5
Let d(y) = -4*y**2 - 5*y - 3. Suppose 3 = -4*q + 5*q. Let i(h) = 4*h**2 + 4*h + 4. Let s(z) = q*i(z) + 4*d(z). Let s(r) = 0. Calculate r.
-2, 0
Factor 11/3*b - 1/2*b**3 - 7/6*b**2 + 4/3.
-(b - 2)*(b + 4)*(3*b + 1)/6
Let f be (5 - 9)*39/(-52). Solve -1 + 1/2*j**f - 3/2*j + 0*j**2 = 0 for j.
-1, 2
Let d = 1/270 + 1439/270. Let -4*y**2 + d + 8/3*y**3 - 16/3*y + 4/3*y**4 = 0. Calculate y.
-2, 1
Let a be 6/1 + (-30 - -26). Let i(k) be the second derivative of -4/5*k**5 - 1/3*k**4 + k + 0 + 8/3*k**3 + a*k**2. Factor i(y).
-4*(y - 1)*(y + 1)*(4*y + 1)
Let b(o) be the first derivative of 5/6*o**6 - 2*o**5 + 0*o**4 + 0*o + 0*o**2 - 16 + 0*o**3. Factor b(l).
5*l**4*(l - 2)
Let g be (96 + 0)/8*(38/(-8) + 5). Let 6/7 + 3/7*r**4 + 27/7*r**2 - 15/7*r**g - 3*r = 0. Calculate r.
1, 2
Let y(i) be the first derivative of 2/3*i**3 + 3 + 0*i - 1/2*i**2 + 7/4*i**4 + 4/5*i**5. Factor y(v).
v*(v + 1)**2*(4*v - 1)
Let s(x) = -29*x**3 + 168*x**2 + 25*x + 4. Let w(b) = -780*b**3 + 4535*b**2 + 675*b + 110. Let u(m) = 55*s(m) - 2*w(m). What is q in u(q) = 0?
-1/7, 0, 5
Let i = -2194 - -2194. Factor -4/11*u**3 + 2/11*u**2 + 0 + i*u.
-2*u**2*(2*u - 1)/11
Suppose 0 = 2*j + j + 3. Let u(b) = -b + 1. Let y be u(j). Solve -4*d**y + 2*d**3 - 3*d**2 + 3*d**2 = 0.
0, 2
Factor -792*l + 792*l + 0*l**5 - 10*l**4 - 5*l**5.
-5*l**4*(l + 2)
Let l(m) be the second derivative of -1/45*m**6 - 64/3*m**2 - 13/30*m**5 + 0 - 112/9*m**3 - 10/3*m**4 + 7*m. Factor l(j).
-2*(j + 1)*(j + 4)**3/3
Let k(m) = m**3 - 7*m**2 + m + 1. Let s(w) = 10*w**3 - 774*w**2 + 44658*w - 907918. Let d(f) = -6*k(f) + s(f). Find u such that d(u) = 0.
61
Let m be 1/(-3) - (-222)/18. Let v be (m/16)/(3/16). Factor 6*h**2 - 4*h**3 - h**3 + 7*h**3 - 6*h**v - 3*h + h**3.
-3*h*(h - 1)*(h + 1)*(2*h - 1)
Let j(k) = 343*k**3 + 625*k**2 - 89*k - 39. Let n(l) = -172*l**3 - 312*l**2 + 44*l + 20. Let r(d) = 4*j(d) + 7*n(d). Factor r(y).
4*(y + 2)*(6*y + 1)*(7*y - 2)
Let r(p) = 26*p**2 - 38*p + 12. Let z(c) = 9*c**2 - 13*c + 4. Let v(h) = -2*h - 2. Let g be v(-8). Let i(m) = g*z(m) - 5*r(m). Solve i(w) = 0.
1
Let w(d) be the second derivative of 0 + 5/189*d**7 + 31/54*d**4 - 20/27*d**3 - 7/135*d**6 + 4/9*d**2 - 13/90*d**5 - 6*d. Solve w(x) = 0 for x.
-2, 2/5, 1
Let -4 - 3*u**2 + 14*u + 2 - 1 - 5 - u**2 - 2*u**3 = 0. Calculate u.
-4, 1
Factor -25/4*n**2 - 23/4 - 47/4*n - 1/4*n**3.
-(n + 1)**2*(n + 23)/4
Solve -89*i**3 - 66*i**3 + 127*i**3 + 72 + 122*i**2 - 168*i + 2*i**4 = 0 for i.
1, 6
Let i be (-12)/10*(-10)/6. Suppose -2 = -3*o + 10. Solve 6*x**3 - 6*x + 7*x**i + 0*x**2 - o*x**2 - 3*x**4 = 0 for x.
-1, 0, 1, 2
Let i(b) be the second derivative of -b**7/63 + 4*b**6/45 - b**5/10 + 3*b - 83. Factor i(l).
-2*l**3*(l - 3)*(l - 1)/3
Let h(u) = -5*u - 2. Let r be h(-1). Suppose -d - 10 = -r*d. Suppose -8*t**3 - 3*t**d - 8*t**4 + 20*t**4 + 6*t**2 - 7*t**3 = 0. What is t?
0, 1, 2
Let t(d) be the second derivative of d**6/75 + 3*d**5/10 + 34*d**4/15 + 4*d**3 - 144*d**2/5 - 103*d + 1. Suppose t(b) = 0. What is b?
-6, -4, 1
Let i = 16335/23 + -710. Let n = 31/69 + i. Factor -8/3*t - 2 - n*t**2.
-2*(t + 1)*(t + 3)/3
Let s(v) be the first derivative of 1/22*v**4 + 0*v**2 - 11 + 0*v + 0*v**3 