= -139 + 698/5. Factor 4/5 + 0*q - d*q**2 + o*q**3.
(q - 2)**2*(q + 1)/5
Factor 1/3*u**3 - 2/9*u**2 + 0*u**4 - 1/9*u**5 + 0 + 0*u.
-u**2*(u - 1)**2*(u + 2)/9
Let j(c) be the third derivative of 1/30*c**5 - 3/28*c**4 - 7*c**2 + 2/21*c**3 + 0 + 0*c. Find q, given that j(q) = 0.
2/7, 1
Let q(v) be the third derivative of -v**7/210 + v**5/30 - v**3/6 + 8*v**2. What is u in q(u) = 0?
-1, 1
Let r = 163/28 - 39/7. Factor -1/4*i**2 + 1/4*i**4 - r*i**3 + 0 + 1/4*i.
i*(i - 1)**2*(i + 1)/4
Let o(c) be the second derivative of -1/63*c**7 + 0*c**5 + 0 + 2*c + 1/9*c**3 + 1/9*c**4 - 2/45*c**6 + 0*c**2. Let o(m) = 0. What is m?
-1, 0, 1
Let q be -62*7/(-56) - 7. Determine j so that 1/4 + q*j**3 + 5/4*j + 7/4*j**2 = 0.
-1, -1/3
Suppose -3*p - 39 = -2*k, 5*k - 5*p = 3*k + 29. Suppose -7 + 45*h**2 - 70*h**3 + 10 + k*h - 5*h**3 = 0. What is h?
-1/5, 1
Let z(j) = j**3 - 7*j**2 + 6*j - 2. Let u(l) = l**2 - l. Let k(y) = -3*u(y) - z(y). Let a be k(3). Factor -h**3 + 2*h**3 + 2*h**2 + a*h**4 + 3*h**3.
2*h**2*(h + 1)**2
Let a(g) be the first derivative of -g - 3/2*g**2 - 1/4*g**4 - 1 - g**3. Factor a(t).
-(t + 1)**3
Suppose -10 = -2*m - 2*d, -m + 4*d - 8*d - 1 = 0. Let p = m - 4. Factor -1/3*i**2 + 0*i + 0 + 1/3*i**p.
i**2*(i - 1)/3
Let w(j) = -j**4 - 10*j**3 + 7*j**2 + 4*j + 2. Let i(r) = 3*r**4 + 40*r**3 - 27*r**2 - 16*r - 9. Let p(t) = 4*i(t) + 18*w(t). Solve p(y) = 0 for y.
-4, -1/3, 0, 1
Suppose -6 - 24 = -6*p. What is v in 16*v**5 - 22*v**2 - 6*v**p + 3*v**3 - 15*v**3 + 54*v**3 + 4*v - 34*v**4 = 0?
0, 2/5, 1
Let w be (60/9)/(-10)*3/(-8). Factor 1/4*h**5 + 0*h**2 + 0*h + 0 + w*h**3 + 1/2*h**4.
h**3*(h + 1)**2/4
Let x(u) = -u**2 + 6*u + 4. Let g be x(6). Let d(c) be the third derivative of c**2 + 1/660*c**6 + 0*c + 1/44*c**g + 1/33*c**3 + 1/110*c**5 + 0. Solve d(z) = 0.
-1
Let f = -11 - -13. Factor -5 - f + 2*u**3 - 6*u**2 + 3 + 2 + 6*u.
2*(u - 1)**3
Suppose 2*r = z + 2, 2*z + 6 = 3*r - z. Let r*o - 80*o**2 - 20*o**4 + 36*o**3 + 4*o**5 + 52*o**2 + 8*o = 0. Calculate o.
0, 1, 2
Let n(i) be the second derivative of i**4/6 + i**3/3 - 12*i. Factor n(v).
2*v*(v + 1)
Let g(a) be the first derivative of 9*a - 3*a**2 + 1/3*a**3 - 7. Solve g(i) = 0.
3
Suppose 13*p + 14*p**3 - 5*p**5 - 6*p**4 - 16*p**2 - 2 - 4*p + 6*p**5 = 0. Calculate p.
1, 2
Let y(g) = -g**3 - g**2 + g - 1. Let u(a) = -23*a + 9 + 7*a**3 + 3*a**3 + 18*a + 13*a**2. Let x(h) = 2*u(h) + 18*y(h). Determine c, given that x(c) = 0.
-2, 0
Let f = 100 + -199/2. Factor a + f + 1/2*a**2.
(a + 1)**2/2
Let i(r) = 7*r**3 + r**2 + 4*r - 4. Let o(n) = -n**3 - n + 1. Let v(h) = -5*i(h) - 20*o(h). Factor v(m).
-5*m**2*(3*m + 1)
Let j be (-45)/9*-3*(-4)/(-55). Factor j*v - 18/11 - 2/11*v**2.
-2*(v - 3)**2/11
Let m = 6 - 3. Let g(d) be the second derivative of 1/15*d**6 + 1/3*d**m + 0*d**2 + 0 - d - 1/6*d**4 - 1/10*d**5. Find b, given that g(b) = 0.
-1, 0, 1
Determine q, given that -4/7*q - 10/7*q**3 + 0 + 22/7*q**2 = 0.
0, 1/5, 2
Let o = 6 - 4. Let x(r) = -r**3 + r**2 + 2*r. Let c be x(o). Factor 2 + 2*g + 2*g**2 - 6*g + c*g**2.
2*(g - 1)**2
Factor -3/2*p**3 - 9/2*p**2 + 0 - 3*p.
-3*p*(p + 1)*(p + 2)/2
Suppose 0 = -n + 4*n - 24. Factor -12*z**3 + n*z**4 + 0*z**2 - 2*z + 8*z**2 + 2*z**5 - 4*z**5.
-2*z*(z - 1)**4
Let k be (4/6)/((-6)/(-54)). Let 8*w**5 - 6*w**4 - 3*w**5 + k*w**2 - 8*w**5 + 3*w = 0. Calculate w.
-1, 0, 1
Let g(o) be the first derivative of 1/6*o**2 - 1/6*o**4 - 1/15*o**5 + 3 + 1/18*o**6 - 1/3*o + 2/9*o**3. Factor g(q).
(q - 1)**3*(q + 1)**2/3
Let k(x) = -7*x - 39. Let s be k(-6). Let t(l) be the first derivative of 0*l + l**2 - 3 + 1/3*l**s. Determine p, given that t(p) = 0.
-2, 0
Factor -1/4*b - 1/4*b**5 - 1/2*b**2 + 1/4*b**4 + 1/2*b**3 + 1/4.
-(b - 1)**3*(b + 1)**2/4
Determine s so that 1/5*s**2 - 1/5*s**4 + 2/5*s**5 - 2/5*s**3 + 0*s + 0 = 0.
-1, 0, 1/2, 1
Let n be 0*(-4 + 1)/6. Let j = 2 - n. Factor 3*x**4 - 2*x**4 - 2*x**3 - j*x**4 + 0*x**4 - x**2.
-x**2*(x + 1)**2
Let c(i) be the third derivative of -i**6/240 - i**5/36 - i**4/36 + 2*i**3/9 - 4*i**2. Let c(d) = 0. Calculate d.
-2, 2/3
Let j(q) be the first derivative of 2 - 1/3*q**4 - 1/3*q**2 + 0*q - q**3. Find w such that j(w) = 0.
-2, -1/4, 0
Let d(l) be the first derivative of -1/2*l**3 + 2 + 1/4*l**4 + 1/4*l**2 + 0*l. Factor d(a).
a*(a - 1)*(2*a - 1)/2
Suppose 0*u - 10 = -5*u - 5*l, -3*u = 5*l - 8. Suppose f = -o + 3*o - u, 0 = f - 5. What is m in -2 - 4*m**o + 0 + 1 + m**2 + m + 3*m**3 = 0?
-1, 1
Let o(s) = s**2 + 8*s + 4. Let d be o(-7). Let j be (d/2)/((-6)/8). Let 2/3 - 2*n - 2*n**4 + 4/3*n**j + 4/3*n**3 + 2/3*n**5 = 0. What is n?
-1, 1
Let h(k) be the third derivative of k**8/20160 + k**7/7560 - k**4/24 + 2*k**2. Let l(v) be the second derivative of h(v). Find u such that l(u) = 0.
-1, 0
Let t = 126 + -126. Find l, given that 0*l**2 - 4/11*l**4 + 2/11*l**3 + 2/11*l**5 + t + 0*l = 0.
0, 1
Let i(j) = j**3 + 5*j**2 - j - 2. Let n be i(-5). Suppose 5*t - 12 - n = 0. Solve -2/3*v + 8/3*v**2 + 2*v**t - 4/3 = 0.
-1, 2/3
Let t(a) = 7*a**3 + a**2 + a - 3. Let q(n) = -3*n**3 - n**2 - n + 1. Let b be (2/5)/(5/25). Let h(x) = b*t(x) + 5*q(x). Suppose h(k) = 0. Calculate k.
-1
Let f(h) = 0 + 5*h - 3 - 2*h + 3*h**2. Let k be f(-3). Suppose -8*b**2 - k*b - 2*b**3 - 4 + b**3 + 5*b - b**3 = 0. What is b?
-2, -1
Factor -6*z + 411*z**2 - 415*z**2 - 6*z.
-4*z*(z + 3)
Suppose 5*s + 2*n - 33 = -0, -5*n + 15 = -s. Suppose 2*y = -s*o, -3*o - 3 = -y - 4*o. Factor 2*m**2 - 3*m**2 + 4*m**3 - y*m**3.
-m**2*(m + 1)
Suppose -5*y + 3 + 2 = 0. Let l be y/6*8/6. Determine z, given that 2/9*z + l*z**3 + 4/9*z**2 + 0 = 0.
-1, 0
Let t be (-4)/22 - (1 + 46/(-11)). Let h(g) be the second derivative of 1/2*g**2 - 2*g - 1/12*g**4 + 1/6*g**t + 0 - 1/20*g**5. Solve h(z) = 0 for z.
-1, 1
Let n(q) = q**4 - q**3 + q**2 - q. Let b(w) = -20*w**4 + 25*w**3 - 35*w**2 + 25*w + 5. Let l(s) = -b(s) - 25*n(s). Factor l(i).
-5*(i - 1)**2*(i + 1)**2
Let c = 40 + -34. Let f(z) be the third derivative of -1/96*z**4 + 0 + 0*z**3 + z**2 + 0*z + 0*z**5 + 1/480*z**c. Suppose f(r) = 0. Calculate r.
-1, 0, 1
Suppose -3*o - 4*n + 21 = 0, -3*o = -8*o + 2*n + 9. What is i in 5*i + i**4 + i**2 - 2*i - 3*i**2 + 2*i**o - i**5 - 4*i + 1 = 0?
-1, 1
Let p(g) be the second derivative of 1/21*g**7 + 0*g**2 + 1/3*g**3 - 2/3*g**4 - 4/15*g**6 + g + 3/5*g**5 + 0. Solve p(u) = 0 for u.
0, 1
Let s(n) be the third derivative of n**6/150 - 8*n**5/75 + 7*n**4/10 - 12*n**3/5 + 45*n**2. Determine u, given that s(u) = 0.
2, 3
Factor 2/3*k - 10/9*k**2 + 2 + 2/9*k**3.
2*(k - 3)**2*(k + 1)/9
Let y(b) = 4*b**4 + 14*b**3 - 22*b**2 - 14*b - 6. Let a(l) = 3*l**4 + 14*l**3 - 23*l**2 - 15*l - 7. Let n = -1 + 7. Let j(f) = n*a(f) - 7*y(f). Factor j(w).
-2*w*(w - 1)*(w + 2)*(5*w + 2)
Let j(f) = 2*f + 14. Let v be j(-7). Let l(d) be the third derivative of 0*d**5 - 1/60*d**6 + 0*d + v*d**3 + 0*d**4 - 1/105*d**7 + d**2 + 0. Factor l(z).
-2*z**3*(z + 1)
Suppose 3*s + 3*x - 3 = 0, 5*s - 3 = -2*x + 14. Find g such that -2*g**2 + g**3 - g**s + 2*g**2 = 0.
-1, 0, 1
Factor 0*v**2 - 9/7*v**3 + 3/7*v**5 + 0 + 0*v + 6/7*v**4.
3*v**3*(v - 1)*(v + 3)/7
Let b(r) = 8*r**4 + 15*r**3 + 8*r**2 - 5*r - 5. Let d(g) = 4*g**4 + 8*g**3 + 4*g**2 - 2*g - 2. Let w(z) = 2*b(z) - 5*d(z). Factor w(m).
-2*m**2*(m + 2)*(2*m + 1)
Factor 4*v**3 + 9*v**2 - 4*v - 5*v**2 + 2*v**4 - 6*v**4.
-4*v*(v - 1)**2*(v + 1)
Factor 2/5*q**2 + 0*q + 0.
2*q**2/5
Let m(h) = -h + 13. Let j be m(9). Factor -9 - a**2 - j*a + 8 - 2.
-(a + 1)*(a + 3)
Let f = -1 + 4. Let v(c) be the first derivative of -17/10*c**4 - 2/3*c**f + 82/25*c**5 - 7/5*c**6 + 0*c + 1 + 2/5*c**2. Find r such that v(r) = 0.
-1/3, 0, 2/7, 1
Find s such that 3/4*s**5 + 0 - 3/2*s**3 + 0*s**4 + 3/4*s + 0*s**2 = 0.
-1, 0, 1
Suppose 16/13 + 18/13*p**3 + 12/13*p**2 - 40/13*p = 0. What is p?
-2, 2/3
Let q be 0 + (-4 - 94/(-24))*-4. Factor 1/3*m**2 + q*m - 2/3.
(m - 1)*(m + 2)/3
Let u(b) be the first derivative of 0*b**2 + 2/35*b**5 + 3 + 0*b**4 + 2/7*b - 4/21*b**3. Factor u(a).
2*(a - 1)**2*(a + 1)**2/7
Let g be (-1 - 1)*(-2)/2. Let y = g - -1. Solve 0 + 0*f + 0*f**2 + 1/4*f**y = 0.
0
Determine z so that 16*z - 222*z**4 + 726*z**4 + 8*z**3 + 13*z**3 + 31*z**3 + 324*z**5 - 112*z**2 = 0.
-1, 0, 2/9
Let s be -3 - (-2 - (35/(-15) + 4)). Let -14/9*v - 16/9*v**2 - s*v**3 - 4/9 = 0. What is v?
-1, -2/3
Let 0 + z + 1/2*z**2 - 1/2*z**3 