**2*(5*z - 2)/9
Let r(j) be the first derivative of 0*j**3 - 7 + 0*j - 3/2*j**2 + 3/4*j**4. Let r(m) = 0. Calculate m.
-1, 0, 1
Let o be 0/3 - (-3 - -1). Suppose -4*i**3 + 5*i**4 - 7*i**4 - 2*i**2 + 2*i**o = 0. What is i?
-2, 0
Let j(a) be the second derivative of 0 - 9/2*a**2 + 2*a**3 - 1/4*a**4 + 7*a. Factor j(y).
-3*(y - 3)*(y - 1)
Let w(p) be the second derivative of p**6/105 + p**5/70 - p**4/21 + 30*p. Let w(r) = 0. Calculate r.
-2, 0, 1
Let q(g) be the first derivative of -2*g**3/9 + 2*g**2/3 + 2*g - 5. Factor q(w).
-2*(w - 3)*(w + 1)/3
Let h be -4*(-12)/(-16) + 46/14. Let 2/7*i**4 + 0*i + 0 - h*i**5 + 2/7*i**3 - 2/7*i**2 = 0. What is i?
-1, 0, 1
Factor 1/2*i**2 - 3/2*i**3 - 1/2 + 3/2*i.
-(i - 1)*(i + 1)*(3*i - 1)/2
Let y(a) = -6*a + 14. Let d(m) = 7*m - 15. Let u(s) = -4*d(s) - 5*y(s). Let z be u(5). Solve -1/2*n**2 - 1/2*n + z = 0.
-1, 0
Let w = -67 - -69. Find v, given that -1/4*v**3 + 0 - 1/4*v + 1/2*v**w = 0.
0, 1
Suppose 5*d - 7 = 3. Suppose 0 = -o - 3, -f + 5*f + 3*o - 11 = 0. Solve 2/7*w**d + 0*w + 0 + 6/7*w**4 + 2/7*w**f + 6/7*w**3 = 0 for w.
-1, 0
Factor 1/4*y**2 - 1/4 + 0*y.
(y - 1)*(y + 1)/4
Suppose -3*k = 2*k. Suppose k = -0*d + 4*d - 12. Factor 2*x**2 + 0*x**3 - x**3 + 3*x**d.
2*x**2*(x + 1)
Let d(z) be the third derivative of 1/8*z**4 + 2*z**2 - 1/60*z**6 + 0*z + 0 - 1/6*z**3 + 1/70*z**7 - 1/336*z**8 - 1/30*z**5. Determine y so that d(y) = 0.
-1, 1
Let w be (0 - 1/(-6))*4/2. Factor 1/3 + 2/3*h + w*h**2.
(h + 1)**2/3
Let s = -4 + 9. Let t be 32/140*s/2. What is f in 0 - 6/7*f**4 - t*f**2 + 10/7*f**3 + 0*f = 0?
0, 2/3, 1
Factor 9*i + 8*i + 3*i**2 + 50 - i**2 + 3*i.
2*(i + 5)**2
Let p(u) be the third derivative of u**8/3360 - u**6/360 - 11*u**4/24 - 8*u**2. Let l(x) be the second derivative of p(x). Factor l(z).
2*z*(z - 1)*(z + 1)
Let c = -16 + 21. Find a, given that -7*a**2 + 5*a**4 - 2*a**5 + 4*a**3 - 10*a**c - 13*a**2 + 15*a**4 + 8*a = 0.
-1, 0, 2/3, 1
Determine t, given that 1/10*t**2 + 3/5*t + 9/10 = 0.
-3
Factor -4/5*q**3 + 12/5*q**2 + 0*q + 0.
-4*q**2*(q - 3)/5
Let b(r) = r**3 + 12*r**2 - r - 1. Let o be b(-12). Let k = 13 - o. Factor 0 + 1/2*j**3 - j**k + 0*j.
j**2*(j - 2)/2
Solve -1/4*j**2 + 0*j + 1 = 0 for j.
-2, 2
Suppose 45*a - 42*a = 12. Let f(h) be the second derivative of 1/2*h**a - 1/3*h**3 + 1/15*h**6 - 3/10*h**5 + 0 - 4*h + 0*h**2. Factor f(k).
2*k*(k - 1)**3
Let b(n) = n**3 - 12*n**2 - n + 14. Let a be b(12). Suppose 2*c = 3*c - a. Factor -4*t**c - 17*t**2 + 15*t + 18*t**3 - 9*t**3 - 3.
3*(t - 1)**2*(3*t - 1)
Let z(d) be the first derivative of -d**3 - 2*d**2 - 5. Let r(l) = -5*l**2 - 8*l. Let t(v) = 6*r(v) - 14*z(v). Determine i, given that t(i) = 0.
-2/3, 0
Let y be 12/20*300/36. Factor 6/11*c**4 + 0 + 6/11*c**3 + 0*c + 2/11*c**y + 2/11*c**2.
2*c**2*(c + 1)**3/11
Let x(u) = -4*u - 9. Let s be x(-4). Let q(f) be the third derivative of 0*f**3 + 1/480*f**6 + 1/60*f**5 + 0 + 0*f - 1/210*f**s - 1/96*f**4 + f**2. Factor q(r).
-r*(r - 1)*(r + 1)*(4*r - 1)/4
Let v(f) = 3*f - 20. Let h(j) = j - 7. Let l(q) = -7*h(q) + 2*v(q). Let m be l(6). Factor -t**m - 1/2*t**5 - 3/2*t**4 + t**2 + 3/2*t + 1/2.
-(t - 1)*(t + 1)**4/2
Suppose -23 + 5 = -3*f. Let m be -3 + f + (-2 - 1). Factor 0*s**3 - 4/3*s**2 + 2/3 + 2/3*s**4 + m*s.
2*(s - 1)**2*(s + 1)**2/3
Let f(t) = 11*t**4 - 55*t**3 + 53*t**2 - 14*t - 5. Let o(b) = 6*b**4 - 28*b**3 + 26*b**2 - 7*b - 3. Let h(v) = -3*f(v) + 5*o(v). Find w, given that h(w) = 0.
0, 1/3, 1, 7
Let m(d) = d + 4. Let q be m(-8). Let p be 1*(q/(-10) - 0). Determine s, given that 3/5*s + 1/5*s**2 + p = 0.
-2, -1
Let z(d) = -d**5 - d**4 + 11*d**3 + d**2 + 5. Let u(w) = 6*w**3 + 3. Let q(x) = 5*u(x) - 3*z(x). Factor q(c).
3*c**2*(c - 1)*(c + 1)**2
Factor 2 - 1/4*n**3 + 3/2*n**2 - 3*n.
-(n - 2)**3/4
Factor -1/4*w**2 + 0 + 1/4*w.
-w*(w - 1)/4
Let z be -3 - 0 - -11 - 2. Let c(h) be the second derivative of 0*h**4 + 0*h**5 + 0 - h - 1/30*h**z + 0*h**3 + 0*h**2. Factor c(o).
-o**4
Find x such that -28/9*x**2 - 16/9 + 56/9*x - 10/3*x**3 = 0.
-2, 2/5, 2/3
Suppose 3*k - 2 = 2*k. Let m = -55 + 57. Factor 3*o**2 - 6*o**k - 4 + m*o**2 + 4*o.
-(o - 2)**2
Let i(n) be the third derivative of 0*n**4 + 0*n + 0*n**5 + n**2 + 0*n**3 + 1/180*n**6 + 0. Let i(s) = 0. Calculate s.
0
Let g(a) = 2*a**2 + 3*a. Let l be g(-2). Find q such that -16*q**2 - 4 + l*q**3 + q**3 - 9*q**3 - 14*q = 0.
-1, -2/3
Let f(b) = -2*b**2 - 4*b + 2. Let i(o) be the third derivative of -o**5/20 - 5*o**4/24 + o**3/2 + 2*o**2. Let z(t) = 5*f(t) - 4*i(t). Factor z(h).
2*(h - 1)*(h + 1)
Let a(p) be the third derivative of -p**7/7560 - p**6/1080 - p**5/360 + p**4/24 - 3*p**2. Let q(k) be the second derivative of a(k). Solve q(h) = 0.
-1
Let r be (-14)/(-7 - -21)*(-10)/2. Factor 22/3*g**3 - 4/3*g**2 - 4*g**4 + 2/3*g**r - 8*g + 16/3.
2*(g - 2)**3*(g - 1)*(g + 1)/3
Let p(i) = i**3 + 4*i**2 + 5*i + 6. Let c be p(-3). Determine a so that 10/9*a**4 + 4/9*a**3 + 0*a**2 + 0 - 14/9*a**5 + c*a = 0.
-2/7, 0, 1
Let k(j) be the third derivative of j**5/20 - 3*j**4/4 + 9*j**3/2 + 11*j**2. Factor k(o).
3*(o - 3)**2
Suppose -5*z + 16 = -4*v - 0, -3*z - 4*v - 16 = 0. Factor 2/7*u**4 + 2/7*u**3 + z - 2/7*u**2 - 2/7*u.
2*u*(u - 1)*(u + 1)**2/7
Let c(z) be the second derivative of 3*z**6/5 - 3*z**5/10 - 4*z**4/3 + 4*z**3/3 - z. Factor c(k).
2*k*(k + 1)*(3*k - 2)**2
Let u(m) be the first derivative of -m**5/210 - m**4/84 + 2*m**3/21 - 3*m**2/2 + 6. Let o(k) be the second derivative of u(k). Solve o(w) = 0.
-2, 1
Let r(s) = 2*s**2 + 6*s + 10. Let b(v) = -v**3 - 13*v**2 + 14*v - 2. Let h be b(-14). Let x(l) = l**2 + 1. Let w(g) = h*r(g) + 2*x(g). Factor w(q).
-2*(q + 3)**2
Let f(n) be the first derivative of 11*n**5/240 - n**4/48 + 3*n**2/2 - 3. Let v(k) be the second derivative of f(k). Factor v(s).
s*(11*s - 2)/4
Let r(x) = -11*x**5 - 17*x**4 - 9*x**2 + 11*x + 13. Let q(v) = 5*v**5 + 8*v**4 + 4*v**2 - 5*v - 6. Let f(p) = 13*q(p) + 6*r(p). Let f(n) = 0. What is n?
-1, 0, 1
Let y(w) be the first derivative of -1/3*w**3 + 1/2*w**4 + 0*w**2 + 3 + 0*w - 1/5*w**5. Factor y(h).
-h**2*(h - 1)**2
Let i be 12/15*5/2. Factor 0 - 4 - 5*m - 7*m**4 + 3*m**5 + 6*m**i + 2*m**3 + 5.
(m - 1)**3*(m + 1)*(3*m - 1)
Let y(u) be the first derivative of -5*u**6/6 + 3*u**5 + 5*u**4/2 - 10*u**3 - 5*u**2/2 + 15*u - 2. Let y(a) = 0. Calculate a.
-1, 1, 3
Suppose 0 = w + 2 + 3. Let d be 4 - w/(5/(-2)). Factor -1/4 + 3/2*n**d + 3/4*n**4 - 2*n**3 + 0*n.
(n - 1)**3*(3*n + 1)/4
Let j(b) = -5*b**4 + 32*b**3 - 60*b**2 + 52*b - 15. Let n(k) = 25*k**4 - 161*k**3 + 300*k**2 - 261*k + 75. Let i(m) = -11*j(m) - 2*n(m). What is q in i(q) = 0?
1, 3
Let c(r) = r - 15. Let n be c(0). Let k = 18 + n. Solve 0 + 0*f + 4/5*f**2 + 2/5*f**k = 0 for f.
-2, 0
Find c, given that 7*c + 4*c**2 - 2 - 70*c**3 + 66*c**3 - 2 - 3*c = 0.
-1, 1
Determine u, given that 29*u**3 + 37*u**2 - 2*u**4 + 8*u - u**2 + 11*u**3 + 14*u**4 = 0.
-2, -1, -1/3, 0
Let x = -2 + 2. Let u(n) be the third derivative of 1/120*n**5 + 2*n**2 + 1/160*n**6 + 0 + x*n**3 + 0*n - 1/96*n**4. Factor u(d).
d*(d + 1)*(3*d - 1)/4
Let o(s) = -4*s**2 + 8*s - 2. Let n(v) = 4*v**2 - 8*v + 3. Let y(z) = -2*n(z) - 3*o(z). Let y(j) = 0. Calculate j.
0, 2
Let b(z) = -z**3 - 3*z**2 + 5*z + 6. Let c be b(-4). Factor -c*p**2 + 0*p - 4*p**2 + 4*p**2 - 4*p.
-2*p*(p + 2)
Let n = 504 - 502. Factor 1/5*l**n + 4/5 - 4/5*l.
(l - 2)**2/5
Suppose 1 + 3*c + 2*c**4 + 3 - 8*c**3 + 12*c**2 - 2 - 11*c = 0. What is c?
1
Let n(v) be the first derivative of -v**4/24 + v**2/12 - 12. Let n(f) = 0. What is f?
-1, 0, 1
Let m(t) be the first derivative of -t**4/4 - t**3/3 + 8*t**2 - 20*t + 39. Let m(w) = 0. What is w?
-5, 2
Let f(x) be the first derivative of -1 - 1/5*x**4 + 4/15*x**3 + 2*x + 8/5*x**2 - 1/10*x**5 - 1/75*x**6. Let l(y) be the first derivative of f(y). Factor l(q).
-2*(q - 1)*(q + 2)**3/5
Solve 2/3*z**3 + 0 - 2/3*z + 0*z**2 = 0.
-1, 0, 1
Let r(i) be the second derivative of i**4/28 + 3*i**3/14 + 3*i**2/7 + 14*i. Find j, given that r(j) = 0.
-2, -1
Let g = -5 + -1. Let k be (-2)/g + 5/3. Find v, given that -5*v**3 + 0*v**2 - 5*v**3 - k*v**2 - 4 + 6*v**4 + 10*v = 0.
-1, 2/3, 1
Let v be (1 - (-2)/(-2))*-1. Let i be v - ((0 - 0) + -2). Let -f**i - 2/3*f + 0 = 0. Calculate f.
-2/3, 0
Suppose 5*a + 4 - 14 = 0. Suppose 0*c**2 + c + c**2 - 4*c**a + 2*c = 0. What is c?
0, 1
Let o(q) be t