r h(t).
2*t*(t - 2)*(t - 1)*(t + 1)/3
Let z(b) be the first derivative of b**3/15 + 7*b**2/10 + 6*b/5 + 4. Factor z(c).
(c + 1)*(c + 6)/5
Let x(f) = -f**2 + 10*f - 6. Let l be x(8). Let p be ((-4)/l)/(12/(-10)). What is o in 0 + p*o**4 + 0*o**3 + 0*o - 1/3*o**2 = 0?
-1, 0, 1
Let b = -4 - -4. Let t = 2 + b. Factor -2*o**t + 8*o**4 + 0*o**2 + 10*o**3 + 2*o**5 + 6*o**2.
2*o**2*(o + 1)**2*(o + 2)
Suppose 5*g - 18 = -3. Let a be 8/(-21) + -7*20/(-210). Solve -a*z + 4/7 + 2/7*z**g - 4/7*z**2 = 0.
-1, 1, 2
Suppose 1/2*s**2 + s - 1/2*s**3 + 0 = 0. Calculate s.
-1, 0, 2
Let q(s) = -28*s + 17. Let m be q(-13). Let x = m - 1899/5. Determine i so that -2/5*i - x*i**2 + 0 - 4/5*i**3 = 0.
-1, -1/2, 0
Suppose 10*n - 2 = 9*n. Determine b so that 0*b + 1/5*b**n + 0 - 1/5*b**3 = 0.
0, 1
Let b(c) = c**3 + c**2 - c - 1. Let f(s) = -s**3 + 3*s**2 + s - 3. Let j(o) = -3*b(o) + f(o). Factor j(t).
-4*t*(t - 1)*(t + 1)
Factor -w + 26*w**2 - 3*w - 6 - 25*w**2 + 1.
(w - 5)*(w + 1)
Let r(p) be the first derivative of 1 + 1/3*p + 1/3*p**2 + 1/9*p**3. Find u such that r(u) = 0.
-1
Let w(r) = 3*r - 3. Let k(z) = -z**2 - 5*z + 5. Let h(a) = -3*k(a) - 5*w(a). Solve h(g) = 0.
0
Let g(b) = 2*b**2 - 8*b + 8. Let s(p) = 2*p**2 - 8*p + 8. Let d(t) = 5*t + 1. Let a be d(-1). Let u(n) = a*s(n) + 5*g(n). Let u(c) = 0. Calculate c.
2
Let h(x) be the first derivative of 5*x**4/4 + 20*x**3/3 + 25*x**2/2 + 10*x + 14. Find a, given that h(a) = 0.
-2, -1
Suppose 13*n**5 + 24*n - 22*n**4 + 12*n**5 - 13*n**5 + 124*n**3 + 92*n**2 + 90*n**4 = 0. Calculate n.
-3, -1, -2/3, 0
Let z = -9 - -9. Let d(m) be the first derivative of 0*m**3 + z*m - 1/14*m**4 + 0*m**2 - 1. Solve d(s) = 0 for s.
0
Suppose 4*t - 3*v = 4, -t + 10 = 5*v - 14. Factor -1/5*a**t - 13/5*a**2 - 12/5*a - 4/5 - 6/5*a**3.
-(a + 1)**2*(a + 2)**2/5
Factor -8/7*c**3 + 2/7 + 8/7*c - 2/7*c**2.
-2*(c - 1)*(c + 1)*(4*c + 1)/7
Suppose 4*c - 1 = -5. Let i be c/((-3)/12 + 0). Factor d**2 - 1 + i - 4*d**2 + 0.
-3*(d - 1)*(d + 1)
Let a(w) be the first derivative of 7*w**4/6 + 38*w**3/9 + 8*w**2/3 - 8*w/3 - 13. Suppose a(h) = 0. Calculate h.
-2, -1, 2/7
Let p(d) be the third derivative of -d**5/150 - d**4/60 + 45*d**2. Find g such that p(g) = 0.
-1, 0
Let x = -36928/148707 + -32/1271. Let r = -2/39 - x. Factor r*y**2 + 2/9 + 4/9*y.
2*(y + 1)**2/9
Let f(t) = -t**3 + 3*t**2 + t. Let r be f(2). Factor 0*n**2 + 9*n**2 + 3*n - r*n - 6*n**3.
-3*n*(n - 1)*(2*n - 1)
Let m(l) be the third derivative of 0 + 0*l**4 + 2*l**2 + 0*l**6 + 1/330*l**5 - 1/1155*l**7 + 0*l + 0*l**3. Determine z so that m(z) = 0.
-1, 0, 1
Suppose -5*n = -2*n. Suppose -y = -3 - n. Let -6*a**y - a**2 + 2*a**3 + 3*a**3 = 0. What is a?
-1, 0
Let b = 6 - 4. Factor 4*n**4 - n**3 - 4*n**4 - 3*n**b - 2*n**4 + 5*n**4 - n + 2*n**5.
n*(n - 1)*(n + 1)**2*(2*n + 1)
Let y(c) be the third derivative of -c**7/11340 + c**4/12 - c**2. Let g(h) be the second derivative of y(h). Factor g(k).
-2*k**2/9
Let a = 165 - 163. Determine x, given that 0 - 3/2*x**a + 0*x = 0.
0
Let a(f) be the third derivative of -1/315*f**7 + 0*f**4 - 1/90*f**5 + 4*f**2 - 1/90*f**6 + 0*f**3 + 0 + 0*f. Factor a(m).
-2*m**2*(m + 1)**2/3
Let n = -392 - -2752/7. Factor n + 0*f - 2/7*f**2.
-2*(f - 2)*(f + 2)/7
Let p = -43 + 43. Let b(x) be the third derivative of 0*x + p + 2*x**2 + 1/135*x**5 - 1/540*x**6 + 0*x**3 - 1/108*x**4. Factor b(f).
-2*f*(f - 1)**2/9
Let c(n) = n**2 - n. Suppose -4*y + 7 = -1, 2*h + 3*y = 8. Let j(z) = -15*z**2 + 18*z. Let f(s) = h*j(s) + 12*c(s). Factor f(v).
-3*v*(v - 2)
Solve -8/5*z + 26/5*z**3 + 16/5 - 28/5*z**2 - 6/5*z**4 = 0.
-2/3, 1, 2
Let f = 2642/4599 - 2/657. Suppose 0 + 24/7*l**3 - 18/7*l**2 - 10/7*l**4 + f*l = 0. Calculate l.
0, 2/5, 1
Factor -1/6*d**2 + 2/3*d + 0.
-d*(d - 4)/6
Let i = 101 - 101. Let j(v) be the second derivative of i*v**2 + 4*v + 0 + 1/48*v**4 + 0*v**3. Solve j(m) = 0.
0
Let s be (-4 - -6)/(2*12). Let q(i) be the second derivative of 1/40*i**5 + 0 - 1/8*i**4 - s*i**3 + 2*i + 1/2*i**2 + 1/60*i**6. Factor q(r).
(r - 1)**2*(r + 1)*(r + 2)/2
Let x be 1 + -17 - 6/3. Let z = x + 22. Determine q so that 2*q**3 + 10/3*q**z - 14/3*q**2 - 2*q + 4/3 = 0.
-1, 2/5, 1
Let k(n) be the second derivative of 5*n**7/21 - 13*n**6/15 + 23*n**5/25 + n**4/15 - 7*n**3/15 - n**2/5 - 22*n. Factor k(q).
2*(q - 1)**3*(5*q + 1)**2/5
Let g be 0/(-3 - (-2 + -2)). Let r(v) = v. Let y be r(g). Let 0*h**4 - 2/3*h + 4/3*h**3 + 0 + y*h**2 - 2/3*h**5 = 0. What is h?
-1, 0, 1
Let w(u) be the first derivative of u**3/3 + 7*u**2 + 17*u + 4. Let g be w(-13). Factor -1/2*j**g + 0*j + 0 + 1/2*j**2 + 0*j**3.
-j**2*(j - 1)*(j + 1)/2
Suppose 20 = 15*v - 10*v. Suppose c = 2*p - 9, -p - v*c + 2*c + 2 = 0. Determine s, given that 0 - 4*s**2 - 2*s**p + 4*s**4 + 0*s**4 + 2 = 0.
-1, 1
Let h(m) = -17*m**5 - 46*m**4 - 67*m**3 - 8*m**2 + 9*m - 7. Let g(k) = -9*k**5 - 23*k**4 - 34*k**3 - 4*k**2 + 4*k - 4. Let c(p) = 7*g(p) - 4*h(p). Factor c(f).
f*(f + 1)*(f + 2)**2*(5*f - 2)
Let c be 4 - (64/(-24))/(1*-2). Factor 32/3*p**3 - c*p**2 - 10*p**4 + 0 + 0*p.
-2*p**2*(3*p - 2)*(5*p - 2)/3
Find j such that -j + 2*j**3 + 0 - 7/2*j**2 = 0.
-1/4, 0, 2
Let s = 20 + -18. Let v(b) = b**2 + 2*b. Let i be v(-2). Factor 4/5*k**s + 2/5*k + 2/5*k**3 + i.
2*k*(k + 1)**2/5
Suppose 128 = 6*k - 2*k - 5*a, -a = 4. Let h be k/18*(-4)/(-9). Solve 1/3*z**4 - h + 1/3*z**2 - z**3 + z = 0.
-1, 1, 2
Solve -27/7*c**3 + 36/7*c**2 + 6/7 + 33/7*c = 0.
-1/3, 2
Let x = -812 + 572. Let t be (-696)/x - 1/2. Solve 1/5*g**3 + 8/5 + t*g + 6/5*g**2 = 0 for g.
-2
Let f be (-5)/(-7 - 54/(-12)). Factor 0 + 1/2*z**f + 1/2*z.
z*(z + 1)/2
Suppose -15 = 11*y - 37. Let -3/4*c**y + c - 1/4 = 0. What is c?
1/3, 1
Let w(f) be the third derivative of -f**6/40 - 3*f**5/20 - f**4/4 + 5*f**2. Suppose w(b) = 0. What is b?
-2, -1, 0
Let z(o) be the third derivative of 0*o**4 + 0*o**3 + 2*o**2 - 2/105*o**5 + 0 + 2/35*o**6 - 1/24*o**8 + 0*o - 1/35*o**7. Let z(q) = 0. Calculate q.
-1, 0, 2/7
Let k(l) be the third derivative of l**5/15 - l**4/12 - 2*l**3 + 21*l**2. Determine t, given that k(t) = 0.
-3/2, 2
Let z(l) be the second derivative of l**7/735 - l**6/105 + 4*l**4/21 - 16*l**3/21 - 5*l**2/2 + 6*l. Let q(b) be the first derivative of z(b). Factor q(f).
2*(f - 2)**3*(f + 2)/7
Factor 0*v + 0*v**2 - 1/6*v**3 + 1/6*v**4 + 0.
v**3*(v - 1)/6
Let a(j) be the third derivative of -2*j**2 + 1/78*j**4 + 0*j - 1/780*j**6 + 0 + 0*j**3 + 1/390*j**5. Factor a(d).
-2*d*(d - 2)*(d + 1)/13
Let s(n) be the second derivative of 8*n**7/21 + 34*n**6/15 + 28*n**5/5 + 22*n**4/3 + 16*n**3/3 + 2*n**2 - 5*n. Find b such that s(b) = 0.
-1, -1/4
Let r = -1/265 - -4243/795. Factor 40/3*v + 14/3*v**3 - 12*v**2 - r - 2/3*v**4.
-2*(v - 2)**3*(v - 1)/3
Let m(v) be the first derivative of -1/2*v**2 + 0*v + 2. Let y(c) = -c**3 - c**2 + 1. Let w(s) = m(s) - y(s). Factor w(t).
(t - 1)*(t + 1)**2
Let n(q) = -25*q**2 - 54*q + 17. Let t(c) = -38*c**2 - 81*c + 25. Let h(z) = 7*n(z) - 5*t(z). Find d such that h(d) = 0.
-2, 1/5
Let w(f) be the second derivative of f**4/36 + 13*f**3/9 + 169*f**2/6 + 2*f - 13. Factor w(s).
(s + 13)**2/3
Solve 0 + 45/4*f**2 + 27/8*f + 75/8*f**3 = 0.
-3/5, 0
Suppose 6*s = -5*s + 5*s. Let q(t) be the second derivative of 0*t**2 + 0 - t + 1/126*t**7 + 1/45*t**6 - 1/60*t**5 - 1/18*t**4 + s*t**3. Factor q(d).
d**2*(d - 1)*(d + 1)*(d + 2)/3
Let f(j) be the second derivative of -j**4/42 + 2*j**3/7 - 9*j**2/7 - 7*j. Find l such that f(l) = 0.
3
Factor -2/7 + 12/7*c**2 + 10/7*c.
2*(c + 1)*(6*c - 1)/7
Suppose 0 = -4*a - 0 - 12. Let t be a + (2 - 1 - -2). Factor -3/4*w**2 + 1/4*w**3 + 1 + t*w.
(w - 2)**2*(w + 1)/4
Suppose j + 46 = 3*f, -4*f - 1 = -j - 63. Solve 4*d**3 + f*d**4 + 0*d**2 + 2*d**2 + 2*d**4 + 8*d**3 = 0.
-1/3, 0
Let q(h) = -h**2 - 5*h + 8. Let x be q(-6). Factor -x*m**2 - 7*m**2 + 4*m**4 - 6*m - m**4 + 0*m**2.
3*m*(m - 2)*(m + 1)**2
Let v(n) be the first derivative of -3 + 2/7*n**2 - 2/21*n**3 - 2/7*n. Factor v(w).
-2*(w - 1)**2/7
Factor -3/5 + 3/5*v**3 - 3/5*v + 3/5*v**2.
3*(v - 1)*(v + 1)**2/5
Let l = 19 - 10. Suppose t = -2*h + l, 3*t = -4*h - t + 28. Determine v, given that -1/4*v**4 - v**3 - 1/4 - 3/2*v**h - v = 0.
-1
Let d(i) be the third derivative of -i**7/70 - i**6/20 + i**5/20 + i**4/4 + 24*i**2. What is p in d(p) = 0?
-2, -1, 0, 1
Let p = 38 - 23. Suppose 4*m - p = m. Find x such 