 - (-4)/4. Factor -2*i**4 - 2*i**3 + i**2 + i**c - i**4 + i + 2*i**4.
-i*(i - 1)*(i + 1)**2
Let b(l) = 2. Let z(g) = -3*g**2 + g - 2. Let v be 2 + (2 - 2)*1. Let i(o) = v*z(o) + 2*b(o). Find c, given that i(c) = 0.
0, 1/3
Let s be ((-5)/(-2))/(12/24). Factor 2*k**5 - 5*k**s - 3*k + 5*k**4 + 12*k**2 - 18*k**3 + 7*k**4.
-3*k*(k - 1)**4
Let x be 11*-1 - (-8)/8. Let v be (x - -1)*5/(-15). Let 5*t + v*t**2 - 5*t - 4*t**2 = 0. What is t?
0
Let f = 144 + -221. Let b be (-8)/f + (-20)/(-110). Let b*z**3 - 2/7*z**5 + 0 + 2/7*z**4 - 2/7*z**2 + 0*z = 0. Calculate z.
-1, 0, 1
Find l, given that 13 + 5*l**4 - 8 - 15 + 5*l**2 + 15*l - 15*l**3 = 0.
-1, 1, 2
Suppose -s - 6 = -l, 4*s = -5*l + 20 + 1. Suppose -2/11*q**4 + 6/11*q**3 + 0 - 4/11*q - 2/11*q**l + 2/11*q**2 = 0. What is q?
-2, -1, 0, 1
Determine r, given that 3*r - 13*r - 3*r**2 - 4*r**2 + 2*r**2 = 0.
-2, 0
Let q = -18 - -23. Let d(i) be the third derivative of i**2 - 7/360*i**6 + 0*i + 0*i**3 + 0 + 2/315*i**7 + 1/72*i**4 + 1/90*i**q. What is u in d(u) = 0?
-1/4, 0, 1
Let w = 22 + -32. Let x(u) = -u**2 - u + 1. Let g(d) = -6*d**2 - 3*d + 4. Let z(j) = w*x(j) + 2*g(j). What is b in z(b) = 0?
1
Let w(m) be the first derivative of -m**6/30 - m**5/25 + m**4/10 - 26. Factor w(q).
-q**3*(q - 1)*(q + 2)/5
Let n(k) = k**2 - 12*k - 3. Let z be n(11). Let r = 29/2 + z. Factor -1/4*l**3 + 3/4*l**2 + 0 - r*l.
-l*(l - 2)*(l - 1)/4
What is o in 1/3*o**3 + 0*o - 1/3*o**5 + 0 - 1/3*o**2 + 1/3*o**4 = 0?
-1, 0, 1
Let x(w) be the second derivative of w**8/448 + w**2 - 5*w. Let d(b) be the first derivative of x(b). Factor d(t).
3*t**5/4
Factor 4/5*y**2 + 8/5*y + 0.
4*y*(y + 2)/5
Let s(g) be the first derivative of 3*g**3 - 21/2*g**2 - 2 + 6*g. Factor s(o).
3*(o - 2)*(3*o - 1)
Let a be (24/128)/(3/4). Determine h so that 3/4*h + a*h**2 + 1/2 = 0.
-2, -1
Let x = -20 - -38. Let i be 2/(-8) + x/8. Find z such that z + 2*z**2 - z**2 - i*z = 0.
0, 1
Let c be (-2)/(-4)*(6 - -2). Factor 2*p**2 - p**3 + 0 + p**2 - c.
-(p - 2)**2*(p + 1)
Let u(a) be the second derivative of a**8/3360 - a**6/360 + a**4/6 + a. Let k(v) be the third derivative of u(v). Factor k(q).
2*q*(q - 1)*(q + 1)
Factor 0 + 1/3*j**2 + 1/3*j.
j*(j + 1)/3
Let p(q) = -2*q**3 + q**2 + 11*q + 6. Let t be p(-2). Factor -1/2*f + 0 + 1/2*f**5 - f**t + f**2 + 0*f**3.
f*(f - 1)**3*(f + 1)/2
Let y be 63/(-7 + 14) - 7. Solve 2/3*x**y + 0 - 2/3*x**4 + 2/3*x**3 - 2/3*x = 0 for x.
-1, 0, 1
Let g(n) = -n**5 + 9*n**4 + 9*n**3 - n**2. Suppose 4 + 6 = 5*b. Let u(k) = -8*k**4 - 8*k**3. Let y(o) = b*g(o) + 3*u(o). Solve y(i) = 0 for i.
-1, 0
Let d(z) be the first derivative of z**5/15 - 2*z**3/9 + z/3 + 8. Factor d(y).
(y - 1)**2*(y + 1)**2/3
Let x(q) be the first derivative of -1/2*q**3 - 3 + 0*q + 0*q**2 - 3/8*q**4. Factor x(d).
-3*d**2*(d + 1)/2
Let o be (0*(-5)/(-10))/(-4). Find q, given that o - 4/3*q**3 + 0*q - 4*q**2 = 0.
-3, 0
Let u(r) be the second derivative of -r**8/7980 + r**7/2660 - r**6/3420 + 4*r**3/3 - 9*r. Let g(h) be the second derivative of u(h). Factor g(i).
-2*i**2*(i - 1)*(2*i - 1)/19
Let m = -8 + 12. Suppose 2*d**2 + 2*d + 18*d**3 - 4*d + 5*d**5 + 3*d**5 + 22*d**m = 0. Calculate d.
-1, 0, 1/4
Let d be 12/(-66) + (-70)/(-22). Factor 18*a**4 + 4 - 10*a**2 - 2*a + 32*a + 84*a**2 + 66*a**d.
2*(a + 1)*(a + 2)*(3*a + 1)**2
Let c(f) be the second derivative of -f**7/147 + f**6/35 - 3*f**5/70 + f**4/42 - 6*f. Factor c(t).
-2*t**2*(t - 1)**3/7
Let g(v) be the third derivative of 0*v - 1/10*v**6 + 0 + 0*v**3 + 1/3*v**5 - 1/3*v**4 + 6*v**2. Factor g(m).
-4*m*(m - 1)*(3*m - 2)
Let c = 10917/889 - -37/127. Suppose -162/7*r**5 + c*r**2 + 396/7*r**4 + 0 - 8/7*r - 314/7*r**3 = 0. Calculate r.
0, 2/9, 1
Let r(n) = -n**3 + n**2 - n - 1. Suppose 3*l + l = -4. Let f(x) = 6*x. Let k(v) = l*f(v) - 3*r(v). Let k(a) = 0. Calculate a.
-1, 1
Let i(s) = -s - 4. Let b be i(-6). Let m be (1 - 0 - 6) + (-3834)/(-710). Let -8/5*d + m*d**b + 8/5 = 0. Calculate d.
2
Let r(a) = -7*a**2 - a + 13. Let g(f) = f**2 - 2. Let x(q) = 39*g(q) + 6*r(q). Let x(i) = 0. What is i?
-2, 0
Find g such that 40/3*g**2 - 4*g**3 + 4/9*g**4 - 176/9*g + 32/3 = 0.
2, 3
Let h(x) = -16*x**4 + 19*x**3 - 11*x**2 + 8*x - 6. Let c(m) = -15*m**4 + 19*m**3 - 11*m**2 + 7*m - 5. Let j(u) = -6*c(u) + 5*h(u). Factor j(a).
a*(a - 1)*(2*a - 1)*(5*a - 2)
Let j = 3/379 - -1471/5685. Let m = j - -46/15. Factor -m*t - 8/3*t**2 - 4/3 - 2/3*t**3.
-2*(t + 1)**2*(t + 2)/3
Let s(v) be the first derivative of v**4/4 - v**2/2 + v + 4. Let l(k) = -6*k**5 + 9*k**4 - 5*k**3 - 3*k**2 + 5*k - 5. Let h(f) = l(f) + 5*s(f). Factor h(c).
-3*c**2*(c - 1)**2*(2*c + 1)
Let p(m) be the second derivative of -m**7/105 - 2*m**6/75 + 2*m**5/25 + m**4/15 - m**3/5 + 15*m. Suppose p(l) = 0. Calculate l.
-3, -1, 0, 1
Let j(o) be the second derivative of 0*o**3 + 0 + 21/20*o**5 - 5*o + 0*o**2 + 1/2*o**4. Factor j(x).
3*x**2*(7*x + 2)
Let z(k) be the first derivative of -k**4/12 + k**3/9 - 32. Factor z(v).
-v**2*(v - 1)/3
Find p such that -4/7*p**2 + 0 - 52/7*p = 0.
-13, 0
Let k(y) be the first derivative of 4/9*y - 2/45*y**5 - 3 + 2/9*y**3 - 1/18*y**4 + 5/9*y**2. Determine f so that k(f) = 0.
-1, 2
Let v(s) be the second derivative of 1/12*s**4 + 1/2*s**2 - s - 1/30*s**5 + 1/3*s**3 - 1/60*s**6 + 0. Let q(d) be the first derivative of v(d). Factor q(p).
-2*(p - 1)*(p + 1)**2
Let u(k) be the second derivative of -2/9*k**2 - 3*k + 1/54*k**4 + 1/27*k**3 + 0. Let u(y) = 0. Calculate y.
-2, 1
Let j(d) be the third derivative of d**8/20160 + d**7/2520 + d**4/8 + 3*d**2. Let v(k) be the second derivative of j(k). Factor v(g).
g**2*(g + 3)/3
Factor 2*z**3 - z**3 - 5*z**3 + 2*z**3.
-2*z**3
Let j(h) = 3*h**3. Let w(v) = 2*v**3. Let n(a) = -3*j(a) + 5*w(a). Factor n(f).
f**3
Let g = 3 - 3. Suppose 14 = 2*y + 2*w, g = y + 2*y + 4*w - 25. Suppose -3*m**2 + 2*m**2 - m**y + m + m**4 + 0*m = 0. What is m?
-1, 0, 1
Let f(n) be the second derivative of -n**6/225 + 2*n**5/75 - n**4/18 + 2*n**3/45 - 16*n. Factor f(s).
-2*s*(s - 2)*(s - 1)**2/15
Let r(s) be the first derivative of 2/7*s + 0*s**2 - 2/21*s**3 + 2. Let r(d) = 0. What is d?
-1, 1
Let f be 2445/6 + (-5)/10. Let h = -1205/3 + f. Factor -19/3*j**3 - h*j - 7/3*j**4 - 4/3 - 1/3*j**5 - 25/3*j**2.
-(j + 1)**3*(j + 2)**2/3
Let b(q) be the second derivative of -q**4 + 4*q**3/3 - 22*q. Factor b(j).
-4*j*(3*j - 2)
Let d(w) be the first derivative of 21/4*w**2 + 3/10*w**5 + 9/2*w**3 + 5 + 3*w + 15/8*w**4. Find m, given that d(m) = 0.
-2, -1
Let a = -1610 + 1613. Factor -2/9*j**a + 2/9*j + 4/9*j**2 - 4/9.
-2*(j - 2)*(j - 1)*(j + 1)/9
Let 0 + 3/7*u**5 - 3/7*u**3 - 3/7*u**4 + 3/7*u**2 + 0*u = 0. Calculate u.
-1, 0, 1
Let r(q) be the second derivative of -q**5/15 - q**4/9 - q**3/18 + 7*q. Factor r(u).
-u*(2*u + 1)**2/3
Suppose 4*u + 0 - 4 = 0, 3*n + 5 = 2*u. Let a(z) = -3*z**3 - z**2 - 2*z - 1. Let r be a(n). Factor -4/3*h**r + 0 - 5/3*h**2 - 1/3*h.
-h*(h + 1)*(4*h + 1)/3
Let b = -137 - -412/3. Let m(j) be the second derivative of -1/10*j**5 + 1/6*j**4 - 1/15*j**6 + 4*j + 0 + 0*j**2 + b*j**3. Factor m(d).
-2*d*(d - 1)*(d + 1)**2
Suppose 0 = m - 2 - 1. Factor 2*b**2 - m*b - 4*b**2 - b**3 + 4*b - 2*b.
-b*(b + 1)**2
Suppose -2*p + 30 - 24 = 0. Let d(w) be the second derivative of -1/10*w**4 - 3*w + 1/5*w**p - 1/5*w**2 + 1/50*w**5 + 0. Factor d(r).
2*(r - 1)**3/5
Suppose -2 = -2*f - 4*w - 8, -3*f - w = -6. Suppose 5*y + 4*k = 3*k, -4*k = -f*y. Factor u**2 + y + u**3 + 1/3*u**4 + 1/3*u.
u*(u + 1)**3/3
Let d = 38 + -113/3. Let o(c) be the first derivative of -2*c + 1 - d*c**3 - 3/2*c**2. Factor o(k).
-(k + 1)*(k + 2)
Let z(i) be the third derivative of i**7/1080 + i**6/135 + i**5/90 + i**4/24 + 3*i**2. Let l(d) be the second derivative of z(d). Suppose l(o) = 0. Calculate o.
-2, -2/7
Let m(b) = b**2. Let p(f) = -14*f**2 - 12*f + 4. Let g(q) = -2*m(q) + p(q). Factor g(d).
-4*(d + 1)*(4*d - 1)
Let j(y) be the second derivative of y**7/70 + y**6/25 - y**4/10 - y**3/10 + 8*y. Suppose j(d) = 0. Calculate d.
-1, 0, 1
Let a be 299/782 - (-2)/17. Factor 0 + 1/2*r**2 - a*r**3 + 0*r.
-r**2*(r - 1)/2
Suppose 152*y - 140*y = 0. Factor 12/5*q**2 + y - 21*q**4 + 0*q + 12/5*q**3.
-3*q**2*(5*q - 2)*(7*q + 2)/5
Suppose -b - 5*k + 2 = 0, -2*k = 6*b - 3*b - 6. Factor -2/7*y**b + 0 + 2/7*y.
-2*y*(y - 1)/7
Suppose -3*x = -4*m + 16, 0*m + 3*x = 3*m - 12. Fa