3/2*f + 3/2*f**2 + 15/2*f**3 + 3/2*f**4.
3*(f - 2)*(f + 1)*(f + 3)**2/2
Let z = -611 - -3069/5. What is n in -4/5*n**2 + 0*n - z*n**3 + 0 = 0?
-2/7, 0
Let c = 18 + -4. Suppose 4*a = -6 + c. Find b such that -2/5*b**3 + 2/5 - 2/5*b**a + 2/5*b = 0.
-1, 1
Let i(o) = 8*o**4 - 20*o**3 + 25*o**2 - 13*o + 3. Let v(m) = -9*m**4 + 20*m**3 - 25*m**2 + 14*m - 4. Let g(b) = -4*i(b) - 3*v(b). Find l such that g(l) = 0.
0, 1, 2
Let r be (-14)/(-4) - (-1)/(-2). Suppose -2*h**2 - 4*h**2 + 7*h**r + 6*h**4 + 3*h - 14*h**3 + 9*h**5 - 5*h**3 = 0. What is h?
-1, 0, 1/3, 1
Let t(y) be the third derivative of y**5/390 - y**3/39 + y**2. Factor t(g).
2*(g - 1)*(g + 1)/13
Let c(p) = -p + 10. Let n be c(7). Let h = n + -1. Solve h*w**2 - w**2 + w**3 - 2*w**2 = 0.
0, 1
Suppose 3*v = k + 8, 0*k = -v + 3*k. What is b in 11*b**v + 8 - 30*b**4 - 32*b - 9*b**3 + 22*b**2 + 30*b**3 = 0?
-1, 2/5, 2/3, 1
Let o = -52 + 99. Let w = o - 140/3. Factor -2*q**2 - 4*q - w*q**3 - 8/3.
-(q + 2)**3/3
Suppose -4*n + 5 = -7. Find f, given that 2/5 - 2*f**2 + 6/5*f**n + 2/5*f = 0.
-1/3, 1
Let o = 21 - 3. Let t(r) = r**2 - 18*r + 4. Let l be t(o). Determine b, given that b**3 - b + 1/3*b**2 + 1/3*b**l - 2/3 = 0.
-2, -1, 1
Let d(v) = -v + 3. Let m be d(3). Factor m*h**5 - 12*h**3 - 16*h**2 + 4*h - 34*h**4 + 54*h**3 - 6*h**2 + 10*h**5.
2*h*(h - 1)**3*(5*h - 2)
Let o(n) = n - 1. Let v(m) = m**2. Let s(q) = o(q) + 2*v(q). Factor s(g).
(g + 1)*(2*g - 1)
Let w be 26/195*(-5)/(-4). Let m(i) be the second derivative of -3*i + 1/10*i**5 + 0 - 1/15*i**6 + 0*i**2 + w*i**4 - 1/3*i**3. Determine k, given that m(k) = 0.
-1, 0, 1
Let h(r) = r**2. Let i = -3 - -6. Suppose 0 = 5*a - i*g - 2, 4*g + 0*g = -a + 5. Let u(z) = 2*z**2 - 2*z. Let y(p) = a*u(p) - 3*h(p). Factor y(f).
-f*(f + 2)
Factor 0*o**2 + o**3 - o**5 + 0*o**2.
-o**3*(o - 1)*(o + 1)
Let c(m) be the first derivative of 2 - 7/9*m**3 + 0*m - 1/3*m**2. Factor c(q).
-q*(7*q + 2)/3
Let q = 24 - 22. Factor 2*v**4 - v**3 + q*v**4 - 9*v**2 - 5*v**4 + 11*v**2.
-v**2*(v - 1)*(v + 2)
Suppose -53 = -b - 49. Factor 11/2*c**3 - 1/2 + 1/2*c + 9/2*c**2 + 2*c**b.
(c + 1)**3*(4*c - 1)/2
Suppose -5*m = -0*m + y - 13, -2*m + 4*y - 8 = 0. Find w such that -8/3 - 8/3*w - 2/3*w**m = 0.
-2
Factor 0*y - 2 + 9/2*y**2.
(3*y - 2)*(3*y + 2)/2
Let t(l) be the third derivative of -2*l**7/105 - l**6/30 + l**5/5 + l**4/6 - 4*l**3/3 + 24*l**2. Let t(p) = 0. Calculate p.
-2, -1, 1
Let p(n) be the third derivative of -n**8/84 + 2*n**7/105 + n**6/30 - n**5/15 + n**2 - 4*n. Factor p(z).
-4*z**2*(z - 1)**2*(z + 1)
Let w be (-5)/(5/(-1)) + (-9)/21. Factor 4/7*z**2 - 2/7*z**5 + w*z**3 - 2/7*z**4 - 2/7 - 2/7*z.
-2*(z - 1)**2*(z + 1)**3/7
Let d(b) be the second derivative of -b**7/210 - b**6/90 + b**5/15 - 5*b**3/6 + 4*b. Let g(s) be the second derivative of d(s). Factor g(q).
-4*q*(q - 1)*(q + 2)
Factor 0*i + 4/7*i**2 + 0.
4*i**2/7
Let s(n) = -3*n**2 - 3*n + 5. Let q(l) = -2*l**2 - 2*l + 4. Let v(o) = 5*q(o) - 4*s(o). Factor v(f).
2*f*(f + 1)
Let k be ((-4)/(-15))/(14/35). Find r, given that 0 + 2/3*r - k*r**2 = 0.
0, 1
Let p(w) = -w**2 - 5*w. Let q(z) = z. Let x(i) = -p(i) - 2*q(i). Let j be x(-3). Factor 0*y**2 - 10*y**3 - 4*y**2 + j*y**2 + 14*y**4.
2*y**2*(y - 1)*(7*y + 2)
Let g(v) = -v**3 - 8*v**2 + 8*v - 4. Let q be g(-9). Let y = q - 2. Factor -2*u**4 + 4*u - 4*u**y - 2*u**2 + 2 + 2*u**2.
-2*(u - 1)*(u + 1)**3
Factor v - v**3 - 3*v**2 + 5*v**2 - 16*v**2 + 13*v**2 + 1.
-(v - 1)*(v + 1)**2
Let x(v) be the third derivative of v**8/336 - v**7/42 + v**6/15 - v**5/15 + 4*v**2. Let x(w) = 0. What is w?
0, 1, 2
Let d(s) be the second derivative of 1/24*s**4 - 1/4*s**3 + 0 + s + 1/2*s**2. Solve d(t) = 0.
1, 2
Let h(w) be the third derivative of -w**7/630 + w**6/360 + 2*w**2. Factor h(p).
-p**3*(p - 1)/3
Let m = 145 - 579/4. Let m*x**2 + 1/2 + 3/4*x = 0. What is x?
-2, -1
Suppose 12 = y + 5*y. Let -2*u**y - 4*u**2 - u + 5*u**2 + 3 - u = 0. What is u?
-3, 1
Let o(z) be the first derivative of 0*z + z**2 + z**3 + 1/4*z**4 - 3. Suppose o(u) = 0. Calculate u.
-2, -1, 0
Suppose -4*o + 723 = 219. Let i be (-4)/(-18) + 8/o. Solve -i*x**2 + 2/7*x**5 + 0 - 6/7*x**4 + 6/7*x**3 + 0*x = 0.
0, 1
Let k = -4 + 7. Solve -12*m**2 - 1 - 1 + 2*m**k + 6*m**2 + 6*m = 0 for m.
1
Find c, given that -1/4*c**4 + 1/4*c**3 - 1/4*c**5 + 0 + 1/4*c**2 + 0*c = 0.
-1, 0, 1
Let o = -4 + 1. Let y be (-6)/9*o/2. Factor -4*d**3 + y + 2*d + 6*d**2 + d**4 - 6*d + 0.
(d - 1)**4
Suppose 4*q + 4*b - 8 = 0, -3*q + 4*b + 6 + 7 = 0. Let w be (63/(-28))/(q/(-2)). Find z such that -w*z - 1 - 1/2*z**2 = 0.
-2, -1
Let j = 210 + -203. Let m(p) be the third derivative of -1/840*p**j - 1/480*p**6 + 0*p**4 + 0 - 2*p**2 + 0*p + 0*p**5 + 0*p**3. Let m(a) = 0. Calculate a.
-1, 0
Suppose 6*u = 450 - 438. Determine b, given that -3/2*b**u + b + 1/2*b**3 + 0 = 0.
0, 1, 2
Let j(d) = -d**3 - 7*d**2 + 2*d - 7. Let o be j(-7). Let g = -61/3 - o. Factor 0 - g*h + 2/3*h**2.
2*h*(h - 1)/3
Suppose -2*g - 2 = -3*g. Let q be 10/(-1 + 1 + g). Suppose 0*u**3 + 0 + u**2 - u**4 + 1/2*u**q - 1/2*u = 0. Calculate u.
-1, 0, 1
Let d be (-135)/25 - (13 - 20). Factor -d*g**5 + 2/5*g**2 - 2*g**3 + 16/5*g**4 + 0*g + 0.
-2*g**2*(g - 1)*(2*g - 1)**2/5
Let r = 186 - 184. Factor -14/11*q**r + 18/11*q - 4/11.
-2*(q - 1)*(7*q - 2)/11
Suppose a + 91 = 3*i, i + 2*a - 22 = 6. Find m, given that i*m**2 + 24 + 120*m**4 + 24*m**4 + 252*m**2 + 132*m + 291*m**3 + 27*m**5 = 0.
-2, -1, -2/3
Let f = 114 + -110. Suppose -5*m + 15 = -z, -3*m - 3*z = -2 - 7. Factor 1/2 + 0*r**2 + r - r**m - 1/2*r**f.
-(r - 1)*(r + 1)**3/2
Let h(i) be the first derivative of -4*i**5/25 + 8*i**3/15 - 4*i/5 + 3. Determine o, given that h(o) = 0.
-1, 1
Let x(k) be the first derivative of -k**6/3 + 2*k**5/5 + k**4 - 4*k**3/3 - k**2 + 2*k - 8. What is v in x(v) = 0?
-1, 1
Let s = 5/3451 + 722733/3451. Let t = 210 - s. Let 2/7*a**3 + 2/7*a + 0 - t*a**2 = 0. Calculate a.
0, 1
Let l be 12/18 + 184/(-294). Let r = l - -333/245. Factor 3/5*a**4 - 2/5*a + 0 + r*a**2 - 8/5*a**3.
a*(a - 1)**2*(3*a - 2)/5
Let f be 2/2 + 11 + -11. Suppose z - f - 3 = 0. Factor 2*v**3 - 2*v**2 + 0 - 2/3*v**z + 2/3*v.
-2*v*(v - 1)**3/3
Let k(m) be the second derivative of 4/75*m**6 - 1/35*m**7 + 1/50*m**5 - 1/15*m**4 + 0*m**2 - 3*m + 0 + 0*m**3. Factor k(v).
-2*v**2*(v - 1)**2*(3*v + 2)/5
Let q(a) be the third derivative of 5*a**5/24 - 5*a**4/4 + 5*a**3/3 - 8*a**2. Factor q(c).
5*(c - 2)*(5*c - 2)/2
Suppose j - 4*f = -16, -j + 45 = 4*j + 5*f. Factor 6*x**2 + x**5 + 6*x**5 + 36*x**j + 8*x**5 + 26*x**3 + x**3.
3*x**2*(x + 1)**2*(5*x + 2)
Let a(y) = 2*y**2 - 13*y + 20. Let x be a(5). Find v such that -28/5*v**2 + 4/5*v + 9/5*v**x + 0 + 61/5*v**3 - 42/5*v**4 = 0.
0, 1/3, 2
Let f = 14 - 27. Let z(c) = 19*c**2 - 18*c + 13. Let a(h) = 9*h**2 - 9*h + 6. Let n(b) = f*a(b) + 6*z(b). Factor n(p).
-3*p*(p - 3)
Let l(b) be the second derivative of b**5/70 + b**4/14 - 4*b**2/7 + 23*b. Suppose l(f) = 0. Calculate f.
-2, 1
Let d(n) be the second derivative of -n**5/20 - n**4/3 - 5*n**3/6 - n**2 + 5*n. Let d(t) = 0. Calculate t.
-2, -1
Let v(i) be the third derivative of 3*i**5/70 + 3*i**4/28 + 2*i**3/21 - 17*i**2. Factor v(q).
2*(3*q + 1)*(3*q + 2)/7
Suppose p + 5*j = -5 - 13, p = 3*j + 14. Factor 2*o**p - o**4 + o**4 + o + o**2 + o**4 + 3*o**3.
o*(o + 1)**3
Solve 0 + 1/4*u**4 + 1/2*u + 1/2*u**5 + 1/4*u**2 - 3/2*u**3 = 0.
-2, -1/2, 0, 1
Factor 0 - 3/2*j**5 + 11/6*j**3 + 0*j - 2*j**4 - 1/3*j**2.
-j**2*(j + 2)*(3*j - 1)**2/6
Let j(g) = -2*g + 3*g**3 + 3*g**3 + 10*g**2 + 8*g. Let o(b) = b**3 + 2*b**2 + b. Let f(h) = -2*j(h) + 11*o(h). Factor f(m).
-m*(m - 1)**2
Let r = -19 + 11. Let c = r - -12. Factor 3*v - c*v + v - 2*v**3.
-2*v**3
Let r(o) be the first derivative of o**6/90 + o**5/5 + 3*o**4/2 + 7*o**3/3 + 8. Let u(h) be the third derivative of r(h). Factor u(w).
4*(w + 3)**2
Let o(u) be the third derivative of u**6/600 - u**4/40 + u**3/15 + 4*u**2. Factor o(i).
(i - 1)**2*(i + 2)/5
Let u(w) be the second derivative of -w**6/10 - 3*w**5/5 - 5*w**4/4 - w**3 - 6*w. Factor u(k).
-3*k*(k + 1)**2*(k + 2)
Factor 4*o + 4*o - 66*o**2 + 70*o**2.
4*o*(o + 2)
Let q(z) = z**2 - 10*z + 11. Let x be q(9). Solve -3*y**x - 2*y**3 + y**4 - y**3 + 0*y**4 + 5*y**2 = 0.
0, 1, 2
Let h(z) be the second derivative of z**5/40 + z**4/24 - z**3/12 - z**2/4 + z. Factor h(l).
(l -