/2*l**3 - 1/4*l**4. Factor s(a).
-(a + 1)**4/4
Suppose -2*q + 11 = 5. Suppose -g**4 - g - 2*g + g**2 - 6*g**2 + 4*g**q + 5*g = 0. What is g?
0, 1, 2
Find h such that -5*h**2 - 2*h - 3*h + 4*h + 11*h = 0.
0, 2
Let h = -10 + 20. Let m be 168/h*4/6. What is v in 98/5*v**2 + m*v + 8/5 = 0?
-2/7
Let l(d) be the first derivative of -7*d**4/22 - 10*d**3/33 + 16*d**2/11 - 8*d/11 - 5. What is j in l(j) = 0?
-2, 2/7, 1
Let n be 13/3 - 2/(-3). Suppose -3*c + 4*c + 5*u - 15 = 0, 0 = 5*c - n*u + 15. Factor c*g + 1/3*g**2 + 0.
g**2/3
Let v(h) be the third derivative of -h**5/60 - h**4/6 - 2*h**3/3 - 9*h**2. Factor v(q).
-(q + 2)**2
Factor -6/5 - 4/5*w + 2/5*w**2.
2*(w - 3)*(w + 1)/5
Let j be -1*3 + 10 + 156/(-28). Factor 26/7*i - j*i**2 + 12/7.
-2*(i - 3)*(5*i + 2)/7
Let o = 2/45 + 7/45. Let a = o + 3/10. Find r such that -a*r**2 + 0 - r = 0.
-2, 0
Let j(p) = -p + 11. Let i be j(9). Let g be -1*2/(i/(-5)). Let 2*y**4 + 0 - 2*y**2 + 4/7*y - 10/7*y**g + 6/7*y**3 = 0. Calculate y.
-1, 0, 2/5, 1
Let x be 64/60 - (-12)/90*-3. Factor -2/3*g**2 + 0 + 0*g - x*g**3.
-2*g**2*(g + 1)/3
Suppose 2*k - 10 = 3*q, -3*q = -k + 2 - 0. Suppose -3*x + k = x. Factor -2*u + 3*u**2 - 3*u**x + u**2.
u*(u - 2)
Let c(s) be the second derivative of -9*s**5/70 - 10*s**4/21 - 13*s**3/21 - 2*s**2/7 - s + 3. Factor c(u).
-2*(u + 1)**2*(9*u + 2)/7
Let t(p) = -p**3 - p**2 + p + 1. Let w(v) = -6*v**3 - v**2 + 6*v + 1. Let c(b) = t(b) - w(b). Let c(f) = 0. Calculate f.
-1, 0, 1
Let t be ((-3)/2)/(6/60). Let l = 17 + t. Determine c, given that -8/7 - 10/7*c**l - 16/7*c - 2/7*c**3 = 0.
-2, -1
Suppose 0 = 4*z + m - 13, -6 = -3*m - 3. Let o(v) be the first derivative of 4/3*v - 4 - 1/6*v**4 - 4/9*v**z + 1/3*v**2. Suppose o(y) = 0. What is y?
-2, -1, 1
Suppose -3 + 1/2*c**2 + 1/2*c = 0. What is c?
-3, 2
Suppose -3*y + 32 = y. Suppose -3*n - 2 + y = 0. Factor 2*h**n - 2 - 2*h + 2.
2*h*(h - 1)
Let g(q) be the second derivative of 1/6*q**3 + 0*q**2 - 3*q - 1/12*q**4 - 3/20*q**5 + 0 + 1/30*q**6 + 1/21*q**7. Let g(s) = 0. What is s?
-1, 0, 1/2, 1
Factor -h**3 - 34 + 30 + 4*h**2 + 2*h - h**3.
-2*(h - 2)*(h - 1)*(h + 1)
Suppose -6*h**2 + 2*h**2 + 6*h**2 + h - 3*h = 0. Calculate h.
0, 1
Let c(j) = -2*j**2 + 9*j - 7. Let p(f) = 2*f**2 - 10*f + 8. Let h(b) = -4*c(b) - 3*p(b). Solve h(o) = 0 for o.
1, 2
Let w(s) be the first derivative of 2*s**6/3 - 8*s**5/5 + 8*s**3/3 - 2*s**2 + 17. Factor w(u).
4*u*(u - 1)**3*(u + 1)
Let h(r) be the first derivative of r**7/280 + r**6/160 - r**5/80 - r**4/32 - 3*r**2 + 4. Let i(g) be the second derivative of h(g). Factor i(o).
3*o*(o - 1)*(o + 1)**2/4
Let r(n) = n**3 + n**2 - n + 5. Let g(s) = -s**2 - 1. Let y(q) = -3*g(q) - r(q). Factor y(h).
-(h - 2)*(h - 1)*(h + 1)
Let s be 6/18 + 106/(-3). Let d = 35 + s. Solve -3/5*p**4 + d*p**3 + 3/5*p**2 + 0 + 0*p = 0.
-1, 0, 1
Let w(a) be the third derivative of -a**8/504 - 2*a**7/315 + 2*a**6/45 - a**5/45 - 7*a**4/36 + 4*a**3/9 + 11*a**2. What is p in w(p) = 0?
-4, -1, 1
Let f(i) be the second derivative of -1/54*i**4 + i + 0*i**2 - 1/27*i**3 + 0. Determine u, given that f(u) = 0.
-1, 0
Let h(c) be the second derivative of -c**6/15 - 3*c**5/10 - c**4/2 - c**3/3 - c. What is o in h(o) = 0?
-1, 0
Let y(l) be the first derivative of l**5/15 - l**4/6 - l**2/2 + 6. Let c(o) be the second derivative of y(o). Factor c(x).
4*x*(x - 1)
Solve 0*g**2 + 4*g**2 - 3*g**2 = 0.
0
Let a(q) be the third derivative of q**6/360 - q**5/120 - q**4/12 + q**3/2 - 7*q**2. Let i(u) be the first derivative of a(u). Solve i(j) = 0 for j.
-1, 2
Let d(u) = 3*u**4 - 8*u**3 + u**2. Let l(h) = 12*h**4 - 33*h**3 + 3*h**2. Let y(t) = -9*d(t) + 2*l(t). Solve y(n) = 0.
0, 1
Let s(q) = -q + 13. Let z be s(10). Let a(d) be the first derivative of 1/4*d**4 - 1/3*d**z + 2 - 1/2*d**2 + d. Suppose a(r) = 0. What is r?
-1, 1
Let y(b) be the second derivative of -b**4/12 - 5*b**3/3 - 11*b**2/2 + 3*b. Let r be y(-8). Factor 0*l - 2*l**4 + 0*l + 2*l**r.
2*l**4*(l - 1)
Let m(s) be the first derivative of -s**3/3 + 3*s**2/2 + 14. Let n be m(3). Let 2*x + n*x**2 - 4/3 - 2/3*x**3 = 0. What is x?
-2, 1
What is n in -3*n - 6*n - 2*n**2 - n**2 = 0?
-3, 0
Let q be (-10)/(-6)*180/50. Let x(l) be the third derivative of 0 + 1/180*l**q + 0*l - 1/30*l**5 - l**2 - 1/9*l**3 + 1/12*l**4. Factor x(u).
2*(u - 1)**3/3
Let i(z) be the second derivative of -z**6/780 - z**5/195 + z**4/156 + 2*z**3/39 + z**2/2 - 7*z. Let c(p) be the first derivative of i(p). Factor c(v).
-2*(v - 1)*(v + 1)*(v + 2)/13
Let o(u) be the first derivative of -3*u**4/4 + 7*u**3 - 12*u**2 - 48*u - 5. Factor o(z).
-3*(z - 4)**2*(z + 1)
Let f(l) be the second derivative of 7/15*l**3 + 1/15*l**7 - 7/25*l**5 + 2/75*l**6 - 2/15*l**4 + 0 + 2/5*l**2 + l. Suppose f(p) = 0. What is p?
-1, -2/7, 1
Let s(n) be the second derivative of -n**5/60 - n**4/24 - n**2/2 - 2*n. Let u(c) be the first derivative of s(c). What is r in u(r) = 0?
-1, 0
Determine s so that 4/13*s**4 + 2/13*s**3 + 2/13*s**5 + 0*s**2 + 0*s + 0 = 0.
-1, 0
Let l(j) = -5*j + 108. Let c be l(21). Solve 0 + 0*o**c + 2/3*o**4 - 2/3*o**2 + 1/3*o - 1/3*o**5 = 0 for o.
-1, 0, 1
Let j be 17*(-2 - (-3)/1). Let a = 21 - j. Factor -1/3*i**3 + 2/3*i**2 + 0*i + 0 - 1/3*i**a.
-i**2*(i - 1)*(i + 2)/3
Determine d, given that 26*d**3 - 38*d**3 - 64*d - 12*d**3 - 92*d**2 + 24*d**2 - 20 = 0.
-1, -5/6
Suppose -6 = -4*x + 6. Suppose 0 = 3*n + 4*a + 4, 2*a - 1 = -x*n + 3. Factor 0*u**3 + 0 + 0*u - 1/4*u**5 - 1/4*u**n + 0*u**2.
-u**4*(u + 1)/4
Factor -6*z + 18*z - 14*z**3 - 6*z**3 - 8*z**2.
-4*z*(z + 1)*(5*z - 3)
Let q(m) be the second derivative of -5*m**4/12 + 20*m**3/3 - 30*m**2 + 40*m. Factor q(c).
-5*(c - 6)*(c - 2)
Suppose 5*g = -3*d + 24, g + 1 = 2*d - 2. Suppose 0 = 4*j - d*j. Factor -10*n**4 + 2*n - 10*n**2 + j*n**4 - 8*n**2 + 4 - 26*n**3.
-2*(n + 1)**3*(5*n - 2)
Determine m, given that -10*m**2 + 4*m**5 + 16*m**4 - 20*m + 2*m**2 - m**5 - 8 + m**5 + 16*m**3 = 0.
-2, -1, 1
Let b = 217/9 - 71/3. Let t(f) be the second derivative of 0 - f - 7/54*f**4 - b*f**2 - 16/27*f**3. Factor t(g).
-2*(g + 2)*(7*g + 2)/9
Let c(l) be the first derivative of -l**4/24 + 7*l**3/18 - 5*l**2/4 + 3*l/2 - 17. What is t in c(t) = 0?
1, 3
Factor 5*i**2 - 31 - 6*i**2 + 34 - 8*i**2 + 6*i**3.
3*(i - 1)**2*(2*i + 1)
Determine u, given that 5/7*u - 2/7 + 1/7*u**3 - 4/7*u**2 = 0.
1, 2
Let s(l) be the first derivative of -1/2*l - 1/3*l**3 + 1 + 1/16*l**4 + 5/8*l**2. Find n such that s(n) = 0.
1, 2
Factor 3/2*f - 1/2*f**2 - 1.
-(f - 2)*(f - 1)/2
Factor 6*t**2 + 5*t**4 + 16*t**3 + 7*t**2 + 7*t**2 + 4*t**3.
5*t**2*(t + 2)**2
Determine b, given that -33*b**2 - 14*b - 10*b**3 + 2*b**4 - 5*b**4 + 5*b**4 + 7*b**2 = 0.
-1, 0, 7
Let s(m) be the second derivative of -m**6/1260 + m**5/210 - m**4/84 - m**3/2 - m. Let c(w) be the second derivative of s(w). Factor c(v).
-2*(v - 1)**2/7
Let m be 12/(-4)*(1 - 2). Suppose -m*d = 3*u - 3, -5*d + 0*u + 3*u - 3 = 0. Factor i**4 + 0 + i**3 + 1/3*i**2 + d*i + 1/3*i**5.
i**2*(i + 1)**3/3
Determine f so that 9*f**5 - 2*f**2 - 6*f**5 - 4*f**2 + 17*f**3 - 12*f**4 - 2*f**3 = 0.
0, 1, 2
Let x(i) = -2*i**2 + 4*i + 1. Let w(v) = -3*v**2 + 6*v + 1. Let y(d) = 5*w(d) - 8*x(d). What is o in y(o) = 0?
-1, 3
Suppose -5*o**2 + 2*o**2 + o - 9*o + 2*o = 0. Calculate o.
-2, 0
Let x(f) be the third derivative of 0*f + 3/8*f**4 - 1/40*f**6 + 0*f**5 + f**3 + 0 - 3*f**2. Factor x(t).
-3*(t - 2)*(t + 1)**2
Let a(q) be the third derivative of -1/10*q**4 + 1/100*q**5 - 2*q**2 + 0 + 2/5*q**3 + 0*q. What is h in a(h) = 0?
2
Let s = 137 - 1369/10. Let u(m) be the third derivative of 0*m**4 + 1/70*m**7 - 3*m**2 - s*m**6 + 1/5*m**5 + 0 + 0*m + 0*m**3. Factor u(a).
3*a**2*(a - 2)**2
Let p = -77/4380 + 5/146. Let k(j) be the second derivative of -j + 1/18*j**3 + 0*j**2 + 0 - 1/90*j**6 + 1/36*j**4 - p*j**5. Factor k(g).
-g*(g - 1)*(g + 1)**2/3
Let z(m) = 5*m**3 + m**2 + 4. Let u(l) = -6*l**3 - l**2 - 5. Suppose 3*y + 11 = -4. Let w(j) = y*z(j) - 4*u(j). Let w(a) = 0. What is a?
-1, 0
Let o(z) be the third derivative of 0 + 0*z + 0*z**4 - 1/30*z**5 + 1/210*z**7 + 4*z**2 + 0*z**6 + 1/6*z**3. Suppose o(j) = 0. What is j?
-1, 1
Solve -106*l**3 + 184*l - 25*l**5 + 32 - l**5 - 46*l**5 - 291*l**4 + 244*l**2 + 9*l**5 = 0 for l.
-4, -2/3, -2/7, 1
Let d(g) be the third derivative of g**11/332640 - g**10/151200 + g**5/60 +