-1/5*p**2 + 2/5 + 3/5*p - 1/5*p**v - 3/5*p**3.
-(p - 1)*(p + 1)**2*(p + 2)/5
Solve -12*t - 4 - 4 - 4*t**2 + 8 = 0 for t.
-3, 0
Let f(r) be the first derivative of 0*r**2 - 1/48*r**4 + r + 1/24*r**3 - 2. Let a(z) be the first derivative of f(z). Factor a(y).
-y*(y - 1)/4
Let c(g) = -4*g + 112. Let w be c(28). Suppose 2/7*o + 1/7*o**3 + w + 3/7*o**2 = 0. Calculate o.
-2, -1, 0
Solve -2/5*q + 2/5*q**5 + 0*q**3 - 4/5*q**4 + 0 + 4/5*q**2 = 0.
-1, 0, 1
Let z(p) be the second derivative of -1/42*p**4 + 0*p**2 - 2/21*p**3 + 0 - 5*p. Factor z(l).
-2*l*(l + 2)/7
Let z be (1/2)/((-4)/(-16)). Let w(o) be the third derivative of 0*o + 0*o**3 - 1/24*o**4 + 1/120*o**6 + 0*o**5 + 0 - 2*o**z. Let w(n) = 0. Calculate n.
-1, 0, 1
Let w = -31 + 33. Let u(v) be the first derivative of 9/2*v**4 + 8*v + 20*v**w + 18*v**3 - 3. Solve u(h) = 0.
-2, -2/3, -1/3
Suppose 0 = s - 2*s - 5. Let c be 6/((-3)/1 - s). Factor 5*f + c + 0*f - 2 + 4*f**2.
(f + 1)*(4*f + 1)
Let m(c) be the second derivative of -c**8/6720 + c**7/2520 + c**6/360 - c**4/3 - 7*c. Let i(o) be the third derivative of m(o). Find s such that i(s) = 0.
-1, 0, 2
Find s such that -1/4*s**2 + 1/8*s + 0 + 1/8*s**3 = 0.
0, 1
Let p(h) = -4*h**3 - 12*h**2 - 4*h + 4. Let x(t) = 15*t**3 + 49*t**2 + 17*t - 17. Let w = -20 + 29. Let a(f) = w*p(f) + 2*x(f). Let a(i) = 0. What is i?
-1, 1/3
Let g = 63 - 629/10. Let f(j) be the first derivative of 1/5*j**2 - 2 + 4/15*j**3 + g*j**4 + 0*j. Factor f(o).
2*o*(o + 1)**2/5
Let s(i) be the second derivative of -i**5/40 + i**3/12 + 2*i. Factor s(m).
-m*(m - 1)*(m + 1)/2
Let y be (-4)/14 + 16/7. Let f = -5 - -8. Find v, given that -9*v**2 + 10*v**2 - 3*v**3 - v**4 + y*v**f + v**5 = 0.
-1, 0, 1
Let v(a) be the second derivative of a**6/10 + 3*a**5/20 - 3*a**4/4 - 5*a**3/2 - 3*a**2 - 6*a. Suppose v(y) = 0. Calculate y.
-1, 2
Factor 2/3*a + 0 + 23/6*a**3 + 7/6*a**4 + 10/3*a**2.
a*(a + 1)*(a + 2)*(7*a + 2)/6
Find k such that -14*k**2 + 15*k**2 + 2*k**4 - 3*k**4 = 0.
-1, 0, 1
Let l be 2 + (-3 - 30/(-9)). Factor -l*w**2 - 5/3*w + 2/3.
-(w + 1)*(7*w - 2)/3
Let n(t) be the second derivative of -t**8/1680 + t**7/1050 + t**6/600 - t**5/300 - t**2 + t. Let u(s) be the first derivative of n(s). Factor u(w).
-w**2*(w - 1)**2*(w + 1)/5
Let f = 18 + -21. Let d(r) = -r**2 - 6*r - 7. Let l be d(f). Solve -40/9*g + 14/3*g**l - 50/9*g**4 + 40/9*g**3 + 8/9 = 0 for g.
-1, 2/5, 1
Let o(r) be the third derivative of r**5/480 + r**4/24 + r**3/3 - 4*r**2. Find f such that o(f) = 0.
-4
Let r(i) be the first derivative of i**5/45 - i**4/9 + i**3/9 + 2*i**2/9 - 4*i/9 - 27. Let r(l) = 0. Calculate l.
-1, 1, 2
Suppose 1 - 7 = -3*d. Let k(n) be the second derivative of n**d - n**3 + 0 + n + 1/2*n**4 - 1/10*n**5. Factor k(m).
-2*(m - 1)**3
Factor 4/5*a**2 + 2/5*a**3 - 2/5*a - 4/5.
2*(a - 1)*(a + 1)*(a + 2)/5
Suppose 0 = -w - 4*t + t + 6, 2*w - 13 = -5*t. Find h such that -w*h + 186 - 186 - 3*h**2 = 0.
-3, 0
Let u(s) be the first derivative of 5*s**6/24 - 3*s**5/4 + 5*s**4/8 + 5*s**3/6 - 15*s**2/8 + 5*s/4 - 14. Factor u(d).
5*(d - 1)**4*(d + 1)/4
Factor 2/5*d**2 - 4/5*d - 6/5.
2*(d - 3)*(d + 1)/5
Factor 3*x**2 + 36 - 204*x + 89*x + 76*x.
3*(x - 12)*(x - 1)
Let h be (-16)/(-2)*1/2. Find d such that -h*d**5 + 2*d**2 + 2*d + d**3 + d**5 + 7*d**4 - 9*d**2 = 0.
-1, 0, 1/3, 1, 2
Solve 2/7*l**2 + 0 + 2/7*l = 0 for l.
-1, 0
Let t(x) be the third derivative of 1/4*x**4 - 1/60*x**6 + 0 + 0*x + 2/3*x**3 + 0*x**5 - 4*x**2. Factor t(d).
-2*(d - 2)*(d + 1)**2
Let s(g) be the second derivative of 0*g**2 - 4*g - 1/70*g**7 + 0*g**3 + 0 + 3/100*g**5 + 1/20*g**4 - 1/50*g**6. What is o in s(o) = 0?
-1, 0, 1
Let m be (-4)/10 + 117/30. Let k be (-477)/(-126) + (-2)/7. Determine h, given that k*h**2 + m*h + h**3 + 1 = 0.
-2, -1, -1/2
Factor -1/2*n + 1/8*n**2 + 3/8.
(n - 3)*(n - 1)/8
Find t such that -3*t**5 - 6*t**4 - t**5 + 2*t**5 - 2*t**3 - 4*t**3 - 2*t**2 = 0.
-1, 0
Factor 20*a - 156*a**2 + 157*a**2 + 64 - 4*a.
(a + 8)**2
Let s be (-20)/(-264) + (-17)/(-187). Factor 0*m + 1/6 - s*m**2.
-(m - 1)*(m + 1)/6
Suppose 4*n = 0, c - 5 + 1 = n. Suppose 0*m - 8 = -c*m. Factor 2/3*z - 2/3*z**4 - 2/3*z**3 + 2/3*z**m + 0.
-2*z*(z - 1)*(z + 1)**2/3
Let c = -343/4 + 86. Factor -1/4 + c*s - 1/4*s**3 + 1/4*s**2.
-(s - 1)**2*(s + 1)/4
Let q(r) be the third derivative of -1/12*r**4 + 0*r - 1/3*r**3 + r**2 + 0 + 1/180*r**6 + 0*r**5. Let v(u) be the first derivative of q(u). Factor v(h).
2*(h - 1)*(h + 1)
Let d(l) be the second derivative of -l**4/36 + l**3/6 + 6*l. Factor d(z).
-z*(z - 3)/3
Let m(d) be the second derivative of 7*d**4/9 + 8*d**3/9 - 2*d**2 + 5*d. Factor m(v).
4*(v + 1)*(7*v - 3)/3
Let t(x) be the second derivative of -x**6/60 - 7*x**5/80 + x**4/12 + 2*x - 6. Let t(h) = 0. Calculate h.
-4, 0, 1/2
Let f be 10/6 + 4/6. Let x be (-4)/8 + 7/6. What is j in f*j**3 + x + j - 4*j**2 = 0?
-2/7, 1
Let c(x) be the second derivative of x**8/1680 - x**6/360 + 2*x**3/3 + 3*x. Let m(s) be the second derivative of c(s). Suppose m(w) = 0. What is w?
-1, 0, 1
Let 5/2*z + 1/2*z**2 - 3 = 0. Calculate z.
-6, 1
Let y(m) be the first derivative of m**4/2 + 8*m**3/3 + 3*m**2 - 4. Solve y(x) = 0 for x.
-3, -1, 0
Let r(o) be the first derivative of -o**4/18 + 2*o**3/27 + 5*o**2/9 + 2*o/3 - 2. Factor r(j).
-2*(j - 3)*(j + 1)**2/9
Let g(r) be the third derivative of 1/45*r**6 + 0 + 0*r + 2*r**2 - 1/9*r**3 + 1/18*r**4 + 7/90*r**5. Factor g(k).
2*(k + 1)**2*(4*k - 1)/3
Let v(n) = n**3 + 20*n**2 - 43*n + 24. Let u be v(-22). Determine l, given that 3/2 - 9/4*l**u - 3/4*l = 0.
-1, 2/3
Solve 0 + 0*n + 3/4*n**5 - 3/4*n**4 + 3/4*n**2 - 3/4*n**3 = 0 for n.
-1, 0, 1
Let d(z) be the third derivative of -z**11/1829520 + z**10/831600 + z**9/166320 - z**5/12 - 5*z**2. Let t(s) be the third derivative of d(s). Factor t(k).
-2*k**3*(k - 2)*(k + 1)/11
Let r be -2 - 11/(-3)*(-45)/(-60). Factor 0*n + 0*n**2 - r*n**3 + 21/8*n**4 + 0.
3*n**3*(7*n - 2)/8
Suppose -2*b - b - 5*b = 0. Factor -3/2*o - 3/2*o**2 + b.
-3*o*(o + 1)/2
Suppose 4/5 + 3/5*j**3 - 8/5*j + 1/5*j**2 = 0. Calculate j.
-2, 2/3, 1
Find l such that 2/3*l**4 - 4/3*l**3 - 2/3 + 4/3*l + 0*l**2 = 0.
-1, 1
Let u(h) be the first derivative of -2*h**3/27 - 2*h**2/9 - 2*h/9 + 29. Factor u(y).
-2*(y + 1)**2/9
Let h(z) be the second derivative of -z**7/3360 + z**6/960 + z**5/80 - 2*z**4/3 - 9*z. Let v(d) be the third derivative of h(d). Solve v(n) = 0 for n.
-1, 2
Let p(l) be the first derivative of l**4 - 4*l**3/3 - 2*l**2 + 4*l - 21. Factor p(w).
4*(w - 1)**2*(w + 1)
Let u(y) be the third derivative of 0*y - 1/10*y**3 + 1/100*y**5 - 1/40*y**4 + 0 + 1/200*y**6 + 3*y**2. Factor u(z).
3*(z - 1)*(z + 1)**2/5
Let d = 0 + 0. Let t(n) be the third derivative of n**2 + 1/90*n**5 + d*n + 0 + 0*n**3 + 0*n**4. What is b in t(b) = 0?
0
Let -23*r**2 + r**5 - r**4 - 19*r**2 - 3*r**3 - 2*r + 47*r**2 = 0. What is r?
-2, 0, 1
Let b(d) be the third derivative of -d**8/336 - d**7/210 + d**6/120 + d**5/60 + 9*d**2. Let b(c) = 0. What is c?
-1, 0, 1
Let f(k) be the first derivative of 1/9*k**3 - 1 + 3*k - k**2. Factor f(w).
(w - 3)**2/3
Let p(t) be the second derivative of t**4/4 - 6*t**2 + 2*t. Let p(y) = 0. Calculate y.
-2, 2
Let j(p) be the second derivative of -2*p**6/15 + 6*p**5/5 - 3*p**4 - 13*p. Find r such that j(r) = 0.
0, 3
Let b(n) = -n**2 - n + 1. Let k(j) = 2*j**3 + 6*j**2 + 4*j - 8. Let z(t) = -8*b(t) - k(t). Determine o, given that z(o) = 0.
-1, 0, 2
Let p = -5/11 - -43/22. Factor 12*c + p*c**2 + 24.
3*(c + 4)**2/2
Let q = 2361/20 + -118. Let w(h) be the second derivative of 0*h**2 - 1/4*h**4 - q*h**5 - 1/3*h**3 + h + 0. Factor w(d).
-d*(d + 1)*(d + 2)
Let s(c) be the third derivative of c**7/8820 - c**6/2520 + c**4/8 + 2*c**2. Let h(y) be the second derivative of s(y). Factor h(j).
2*j*(j - 1)/7
Let 0*b**2 - 4/11 - 2/11*b**3 + 6/11*b = 0. Calculate b.
-2, 1
Let u = -2 + 5. Find r, given that 11*r**2 - 2*r**2 + 1 - 1 - 3*r - 9*r**u + 3*r**4 = 0.
0, 1
Let w = 188 + -554/3. Find a such that w*a + 4/3*a**2 + 4/3 = 0.
-2, -1/2
Suppose -6 = -4*h + 2. Let u(l) be the first derivative of -7/6*l**4 - 2*l**3 - 5/3*l**h - 1 - 2/3*l - 4/15*l**5. Determine z so that u(z) = 0.
-1, -1/2
Let t(v) = 3*v**3 + 5*v**2 + 4*v - 8. Let i(w) = 8*w**3 + 14*w**2 + 12*w - 23. Let y(m) = 4*i(m) - 11*t(m). What is n in y(n) = 0?
-2, 1, 2
Let w(g) = -5*g**2 