*i**5 - 3*i + 1/6*i**3. Factor q(o).
-o*(o - 1)*(o + 1)**2
Factor 0*q**3 - q**3 - 2*q - q**4 - q**3 - 5*q**2 - 2*q**3.
-q*(q + 1)**2*(q + 2)
Let z(m) be the second derivative of m**8/420 + 3*m**7/280 + m**6/60 + m**5/120 + m**3/6 + 2*m. Let u(v) be the second derivative of z(v). Factor u(g).
g*(g + 1)**2*(4*g + 1)
Let u(s) be the first derivative of 46/3*s**3 - 4*s - 6 - 12*s**6 - 7*s**2 - 18*s**5 + 67/2*s**4. Suppose u(t) = 0. What is t?
-2, -1/3, -1/4, 1/3, 1
Let t(j) be the first derivative of -j**8/560 + j**6/60 - j**4/8 + j**3 - 2. Let q(f) be the third derivative of t(f). Suppose q(i) = 0. Calculate i.
-1, 1
Let d(q) be the first derivative of 2*q**5/5 + q**4/2 - 2*q**3/3 - q**2 - 2. What is n in d(n) = 0?
-1, 0, 1
Let f(x) be the third derivative of -1/108*x**4 + 0*x**5 + 0*x + 0*x**3 + 1/540*x**6 + 0 - 2*x**2. Solve f(k) = 0 for k.
-1, 0, 1
Let k(g) = g**3 - 4*g**2 + 4*g - 3. Let r be k(3). Let m = r + 2. Find s such that 2*s - 1 + s - 5*s - s**m + 0 = 0.
-1
Factor -2/7*z + 4/7 - 2/7*z**2.
-2*(z - 1)*(z + 2)/7
Factor 0 + 2/5*a**3 + 2/5*a**4 + 0*a - 4/5*a**2.
2*a**2*(a - 1)*(a + 2)/5
Let s be (-104)/130 + (-28)/(-10). Factor -2/11*z**s + 0*z + 2/11.
-2*(z - 1)*(z + 1)/11
Let n(u) = u**3 + 30*u**2 - 29*u + 62. Let c be n(-31). Factor -2/7*j + c + 1/7*j**2.
j*(j - 2)/7
Let t(l) = -l**2 - 6*l + 8. Let f be t(-7). Solve -7*m + 0*m - 3 + 8*m**2 - f - 7*m = 0.
-1/4, 2
Let k = 8 - 6. Suppose l = 3*d - 7, -4*l = -k*d + 11 - 3. Find o, given that 1/2*o**d + 0 + 1/4*o**3 + 1/4*o = 0.
-1, 0
Let z = 23 + -37. Let r be (-38)/(-14) - z/49. Determine a so that -2/3*a**2 - 8/3*a**r - 2*a**4 + 0 + 0*a = 0.
-1, -1/3, 0
Let y(f) be the second derivative of -f**6/105 - f**5/35 + f**4/42 + 2*f**3/21 - 23*f. Factor y(t).
-2*t*(t - 1)*(t + 1)*(t + 2)/7
Let 125/3 - 106/3*q**3 + 290/3*q**2 - 1/3*q**5 - 325/3*q + 17/3*q**4 = 0. Calculate q.
1, 5
Let b(q) be the second derivative of 5/54*q**4 + 1/9*q**2 + 1/45*q**5 + q + 0 + 4/27*q**3. Factor b(l).
2*(l + 1)**2*(2*l + 1)/9
Let k(l) be the third derivative of -l**8/28 - 9*l**7/70 + l**6/20 + 9*l**5/20 + l**4/4 - 21*l**2. Let k(y) = 0. Calculate y.
-2, -1, -1/4, 0, 1
Let t(q) be the first derivative of 4/7*q + 7 + 5/7*q**2 - 2/3*q**3. Factor t(i).
-2*(i - 1)*(7*i + 2)/7
Suppose 2/11*l**2 + 2/11*l + 0 = 0. Calculate l.
-1, 0
Let i(m) be the first derivative of -49*m**3 - 168*m**2 - 192*m - 19. Factor i(b).
-3*(7*b + 8)**2
Let t be ((-4)/(-42))/(-7 - (-202)/28). What is k in -2/9*k**2 + 2/9*k**3 - t*k + 0 = 0?
-1, 0, 2
Let t(u) be the third derivative of 7*u**2 - 1/10*u**5 + 0 + 0*u**3 + 0*u + 0*u**4 - 1/70*u**7 - 3/40*u**6. Suppose t(n) = 0. What is n?
-2, -1, 0
Let c(d) be the third derivative of 1/48*d**4 + 1/24*d**3 + 1/240*d**5 + 5*d**2 + 0*d + 0. Factor c(y).
(y + 1)**2/4
Factor 56/3*f - 4 - 25/3*f**3 - 55/3*f**2.
-(f + 3)*(5*f - 2)**2/3
Let n = -429 + 432. Suppose 4/5*l**n - 1/5 + 2/5*l + 7/5*l**2 = 0. Calculate l.
-1, 1/4
Suppose -23*r + 8*r + 30 = 0. Factor 1/2*g**2 + 3/2 + r*g.
(g + 1)*(g + 3)/2
Let a(k) be the first derivative of 7*k**6/12 - k**5/5 - 7*k**4/4 + 2*k**3/3 + 7*k**2/4 - k - 5. Let a(h) = 0. What is h?
-1, 2/7, 1
Let j(w) = -2*w**3 + 20*w**2 + 20*w + 24. Let n be j(11). Suppose 8/5*r**2 + 2/5*r**3 + 4/5 + n*r = 0. What is r?
-2, -1
Factor -1/3 - 1/3*b + 1/3*b**2 + 1/3*b**3.
(b - 1)*(b + 1)**2/3
Let g be (-1 - -5) + (-156)/42. Determine d, given that 2/7*d**5 + 0*d + 0 + g*d**3 + 0*d**2 + 4/7*d**4 = 0.
-1, 0
Suppose -28 + 92 = 2*i. Suppose 76*w**3 + 74 + i*w**2 + 28*w**4 - 16*w - 74 = 0. What is w?
-2, -1, 0, 2/7
Let s be -1*(5 + -3)*2. Let u(w) = -w**3 + 18*w**2 + 32*w + 24. Let m(q) = -3*q**3 + 72*q**2 + 129*q + 96. Let c(r) = s*m(r) + 15*u(r). Let c(x) = 0. What is x?
-2
Let f(r) be the third derivative of -r**7/315 + r**5/90 - 5*r**2. Factor f(a).
-2*a**2*(a - 1)*(a + 1)/3
Suppose w - 1 = -4*y - 4, -2*w - 6 = 5*y. Let b(m) be the second derivative of 0*m**4 + 1/21*m**7 + 0*m**6 + 0*m**3 - 1/10*m**5 + 3*m + 0 + y*m**2. Factor b(t).
2*t**3*(t - 1)*(t + 1)
Let x(b) = -b**3 - 17*b**2. Let r be x(-17). Let t(c) be the second derivative of -1/30*c**5 + 1/90*c**6 + 0*c**2 + 0*c**3 + r + c + 1/36*c**4. Solve t(i) = 0.
0, 1
Let p(f) be the second derivative of f**5/180 - f**3/54 - 4*f + 2. Solve p(c) = 0.
-1, 0, 1
Let r be (-2)/(-4)*(15 + -7 + -8). Determine z so that -2/5*z**3 + 4/5*z**4 + 0*z + r - 2/5*z**5 + 0*z**2 = 0.
0, 1
Let m = 7 - 4. Let n(h) be the first derivative of -1/12*h**4 + 1 + 1/6*h**2 - 1/9*h**m + 1/3*h. Factor n(k).
-(k - 1)*(k + 1)**2/3
Let c(s) be the third derivative of 0 + 0*s**3 + 1/84*s**4 - 1/210*s**5 + 5*s**2 + 0*s. Factor c(a).
-2*a*(a - 1)/7
Let h(x) = -2*x**3 - 6*x**2 - 10*x - 2. Let i(u) = -5*u**3 - 17*u**2 - 30*u - 7. Let z = 13 + -9. Let r(b) = z*i(b) - 11*h(b). Suppose r(j) = 0. Calculate j.
-1, 3
Let a(h) be the second derivative of -h**4/4 + 4*h**3/3 + 3*h**2/2 + 8*h. Let v(q) = q**2 + 1. Let n(d) = -2*a(d) - 10*v(d). Suppose n(f) = 0. What is f?
-2
Suppose -2*o = 2*o - 8. Solve 4*y**o + 3 - 5 + y**2 + 3*y = 0.
-1, 2/5
Let d(n) be the second derivative of n**9/15120 + n**8/3360 + n**7/2520 + n**4/3 + 2*n. Let p(s) be the third derivative of d(s). Let p(k) = 0. Calculate k.
-1, 0
Let j be 1/(-3) + (-13)/(-39). Factor j + 0*p**2 - 2/11*p + 2/11*p**3.
2*p*(p - 1)*(p + 1)/11
Suppose -5*z + 5*c + 5 = 0, -c + 0*c - 3 = -3*z. Factor -3 + 2*q**2 + 4*q + 6 + 0*q - z.
2*(q + 1)**2
Let q = -110 - -551/5. Solve 0 + q*g**2 + 0*g = 0 for g.
0
Let 2/5*q + 0 + 0*q**2 - 2/5*q**3 = 0. What is q?
-1, 0, 1
Let t(a) be the second derivative of -a**6/120 + a**4/24 - a**2/8 - 5*a. Factor t(f).
-(f - 1)**2*(f + 1)**2/4
Let q(z) = 1. Let c(k) = k**2 + 5*k. Let m(x) = -c(x) - 4*q(x). Let m(j) = 0. What is j?
-4, -1
Let m(z) = 8*z**3 - 9*z**2 - 87*z - 119. Let o(k) = 4*k**3 - 4*k**2 - 44*k - 60. Let h(p) = -4*m(p) + 9*o(p). What is y in h(y) = 0?
-2, 4
Let v(q) be the second derivative of q**5/60 - 2*q**3/9 + 41*q. Solve v(o) = 0.
-2, 0, 2
Suppose -2*j + 1 = 5*g, 2*g + 4*j - 4 = 5*j. Factor 1/2*c + 1/2*c**2 - g.
(c - 1)*(c + 2)/2
Suppose 4/7*p**2 + 0 - 4/7*p**4 - 4/7*p**3 + 4/7*p = 0. What is p?
-1, 0, 1
Suppose 0 = 2*t - 23*t. Let h(j) be the second derivative of -3/40*j**5 + 0*j**2 + 1/28*j**7 + 0 + 1/8*j**4 - 1/20*j**6 + t*j**3 + 2*j. Factor h(z).
3*z**2*(z - 1)**2*(z + 1)/2
Let p(o) be the second derivative of 1/24*o**3 + 0*o**4 - 3*o + 0*o**2 + 0 - 1/80*o**5. Find q, given that p(q) = 0.
-1, 0, 1
Let y(q) be the second derivative of -1/36*q**4 + 0 - 2/3*q**2 - 2/9*q**3 - q. Determine u so that y(u) = 0.
-2
Let m = 7/10 - 1/2. Suppose 1/5*x**2 + 0 + m*x = 0. Calculate x.
-1, 0
Let a = 4 + -2. Factor 2*h**a + 2*h + 19 - 19.
2*h*(h + 1)
Let u(c) be the first derivative of -27*c**6/5 - 72*c**5/25 - 2*c**4/5 + 11. Factor u(p).
-2*p**3*(9*p + 2)**2/5
Let c(w) be the third derivative of 0 + 0*w**3 + 0*w**4 - 6*w**2 + 1/780*w**6 + 0*w + 1/195*w**5. Let c(g) = 0. Calculate g.
-2, 0
Let d be (-2)/4*6/(-30)*4. Let l be (-10)/(-4)*(-4)/(-25). Factor l*q**2 - d*q + 0.
2*q*(q - 1)/5
Suppose -5*k = 9 - 34. Let f(w) be the third derivative of -w**2 - 1/210*w**k + 0*w + 0 + 0*w**4 + 1/21*w**3. Factor f(a).
-2*(a - 1)*(a + 1)/7
Let s(h) be the first derivative of h**5/10 - h**4/24 - h**3/6 + h**2/12 - 30. What is z in s(z) = 0?
-1, 0, 1/3, 1
Let d(u) be the second derivative of 2*u**6/135 + u**5/15 + 2*u**4/27 + 29*u. Let d(k) = 0. What is k?
-2, -1, 0
Let c(v) = 5 - 2 - 5 + 4*v - v**2. Let i be c(2). Factor -4*b + 2 + b - b + 2*b**i.
2*(b - 1)**2
Factor -k**4 + 4*k**4 - 2*k**4 - 5*k**4 - 8*k**3.
-4*k**3*(k + 2)
Let b(x) = -x**3 + 2*x**2 + 5*x - 2. Let y be b(3). Factor -4*t**2 + y*t**4 + 4*t**3 + 0*t**4 - 4*t + 0*t**4 + 0*t**4.
4*t*(t - 1)*(t + 1)**2
Let x be 0/(-1) + -8 + 264/32. Find d, given that 1/4*d**5 + 0*d + 0 + 1/4*d**2 - x*d**3 - 1/4*d**4 = 0.
-1, 0, 1
Let f(h) be the third derivative of 5*h**7/42 + 5*h**6/24 - h**5/15 - h**4/6 - 9*h**2. Factor f(w).
w*(w + 1)*(5*w - 2)*(5*w + 2)
Let z(u) be the second derivative of 1/90*u**5 - 3*u - 1/27*u**3 + 0 - 1/9*u**2 + 1/54*u**4. Determine o so that z(o) = 0.
-1, 1
Factor -2*b**4 - 3*b**5 - b**3 - 2*b**4 + 3*b**2 + b**4 + 4*b**3.
-3*b**2*(b - 1)*(b + 1)**2
Let x(g) be the first derivative of -g**4/8 + 1. Factor x(c).
-c**3/2
Let j(c) = c**2 - 18*