z**3 + 9/2*z.
(z - 3)**3/6
Suppose 7*l + 5 = 2*l. Let m be l/(21/(-12))*10/8. Factor 0 - 5/7*s**4 - 2/7*s + m*s**2 + 2/7*s**3.
-s*(s - 1)*(s + 1)*(5*s - 2)/7
Suppose -680 = -10*a - 120. Let n be 0/1 + -1 - (-152)/a. Solve 12/7 + 3/7*g**2 + n*g = 0 for g.
-2
Let n(k) = -2 + 6*k + 2*k**2 + 2*k**2 - 4 - 9*k**2 + 2. Let o(y) = 1 - y + y**2 + 3*y - 3*y. Let x(v) = -n(v) - 4*o(v). Factor x(f).
f*(f - 2)
Let c(j) = j**3 + j**2 - 2*j + 1. Let r(y) = 4*y**5 - 17*y**4 + 2*y**3 + 19*y**2 - 8*y + 2. Let g(b) = -2*c(b) + r(b). Solve g(t) = 0.
-1, 0, 1/4, 1, 4
Let t(v) = v**4 + v**3 - v - 1. Let u be 7/(-14)*(1 + 1). Let d(w) = w**4 + 2*w**3 + 6*w**2 - 10*w + 1. Let s(h) = u*d(h) + 2*t(h). What is n in s(n) = 0?
-3, 1
Suppose 2*j - 24 = -5*c, j + 4*c - 10 = 4*j. Let i(a) be the second derivative of 5/42*a**4 - 2/21*a**3 - 3/70*a**5 + 0 - 7*a + 0*a**j. Solve i(z) = 0 for z.
0, 2/3, 1
Determine a, given that 14/3*a**3 + 0 + 4/3*a**4 - 2*a**5 + 4/3*a**2 + 0*a = 0.
-1, -1/3, 0, 2
Let y be (-18)/40 + 12/16. Let z(p) be the first derivative of 0*p + 1/5*p**3 + 2 + 0*p**2 - y*p**4 + 3/25*p**5. Factor z(q).
3*q**2*(q - 1)**2/5
Factor o + 36*o - 374*o**4 - 34*o**3 + 2*o**2 + 372*o**4 - 3*o.
-2*o*(o - 1)*(o + 1)*(o + 17)
Let k be 1*11 + 3913/(-364). Suppose 0*g**4 + 0*g**2 - 1/4*g - k*g**5 + 1/2*g**3 + 0 = 0. What is g?
-1, 0, 1
Let q = 21147 - 21147. Let q - 1/5*a + 2/5*a**2 = 0. Calculate a.
0, 1/2
Let x(r) be the second derivative of -r**10/45360 - r**9/16200 - r**8/25200 - 5*r**4/12 + 2*r. Let i(b) be the third derivative of x(b). Factor i(k).
-2*k**3*(k + 1)*(5*k + 2)/15
Let q(j) = -2*j**3 + 30*j**2 + 6*j - 24. Let c(x) = -6*x**3 + 91*x**2 + 20*x - 70. Let w(h) = 2*c(h) - 7*q(h). Solve w(l) = 0 for l.
-1, 1, 14
Factor -40/13*p**2 + 2/13*p**3 + 74/13*p - 36/13.
2*(p - 18)*(p - 1)**2/13
Let t be ((-18)/(-8))/(-8 + (-630)/(-72)). Let f(k) be the first derivative of 0*k - k**2 + 1 - 1/2*k**4 - 4/3*k**t. Determine i so that f(i) = 0.
-1, 0
Let f(l) = -5*l**2 - 5*l + 5. Suppose -2*k + 0 + 20 = 2*a, 2*k = 3*a - 5. Let u(r) = 5*r**2 + 4*r - 6. Let b(n) = k*u(n) + 6*f(n). Find z, given that b(z) = 0.
-2, 0
Let s = 6 - 4. Find u such that 12 + 2*u + 10*u - u**2 + 0*u**3 - s*u**2 - 3*u**3 = 0.
-2, -1, 2
Let m(b) be the third derivative of b**5/210 - 37*b**4/21 - 436*b**2. Find v, given that m(v) = 0.
0, 148
Let r(h) = h**3 + 6*h**2 + 5*h - 7. Let g be r(-5). Let x = g + 10. Determine l, given that 5*l + 2*l + x*l**2 - l = 0.
-2, 0
Suppose 0 = -5*n + x + 15, -n + x + 10 = 3. Factor 7 - 3*j - 4*j**2 - 6 + 3*j**3 + j**2 + n.
3*(j - 1)**2*(j + 1)
Let h(u) = 17*u**2 + 57*u + 81. Suppose -z = -2*z - 4. Let f(k) = -4*k**2 - 14*k - 20. Let i(a) = z*h(a) - 18*f(a). Let i(x) = 0. What is x?
-3
Factor 142/7*m**2 + 592/7*m + 600/7 - 2/7*m**3.
-2*(m - 75)*(m + 2)**2/7
Factor 0 - 16/5*s - 4/5*s**2.
-4*s*(s + 4)/5
Suppose 47 = -2*o + 5*o + 4*p, 0 = 3*o + 3*p - 45. Suppose -27*q**4 + 10*q**4 - 672*q**2 - 88*q**3 + o*q**4 - 1372 - 1960*q = 0. Calculate q.
-7, -1
Let k(l) be the third derivative of l**7/105 - 7*l**5/30 - l**4/2 + 76*l**2. Factor k(m).
2*m*(m - 3)*(m + 1)*(m + 2)
Let i(x) be the second derivative of -x**8/840 - x**7/1260 - 7*x**4/12 + 2*x. Let s(g) be the third derivative of i(g). Determine p so that s(p) = 0.
-1/4, 0
Let i = -6 + 8. Factor -773 + 800 + 0*h**2 - 3*h**i.
-3*(h - 3)*(h + 3)
Let y(z) be the first derivative of z**6/45 - 2*z**5/75 - z**4/30 + 2*z**3/45 + 13. Factor y(l).
2*l**2*(l - 1)**2*(l + 1)/15
Let u be 4*(26/(-8) + 3 + 0). Let o(k) = -12*k**2 - 57*k - 39. Let q(j) = j**2 + j + 1. Let b(a) = u*o(a) - 18*q(a). Factor b(n).
-3*(n - 7)*(2*n + 1)
Let i(f) = -7*f**4 - 5*f**3 + 18*f**2 + 84*f + 76. Let w(t) = -t**4 + t**3 + 1. Let l(k) = i(k) - 4*w(k). Solve l(a) = 0.
-2, 3
Let v(w) be the third derivative of -w**8/10080 - w**7/1260 - w**5/20 + 2*w**3/3 - 2*w**2 + 39. Let a(f) be the third derivative of v(f). Factor a(k).
-2*k*(k + 2)
Let q(a) = -5*a**3 - 150*a**2 - 98*a - 2. Let m(z) = 2*z**3 + z**2 + 2. Let p(n) = 3*m(n) + 3*q(n). Factor p(j).
-3*j*(j + 49)*(3*j + 2)
Factor 320/3 + 56*x - 52*x**2 - 4/3*x**3.
-4*(x - 2)*(x + 1)*(x + 40)/3
Let z(x) be the second derivative of x**5/5 - 3*x**4 - 95*x. Suppose z(d) = 0. What is d?
0, 9
Let w(k) be the first derivative of 2*k**3/15 + 2*k**2 + 35. Suppose w(n) = 0. What is n?
-10, 0
Let f = -8763/11 - -797. Factor -2/11*i**5 + 0*i**2 + f*i**3 - 2/11*i + 0 + 0*i**4.
-2*i*(i - 1)**2*(i + 1)**2/11
Let n = -1166/9 - -8189/63. Factor -n*g**2 + 6/7*g + 9/7.
-3*(g - 3)*(g + 1)/7
Solve -653*p + 650*p - 7*p**2 + 6*p**2 = 0 for p.
-3, 0
Let p(j) = -11*j**3 - 21*j - 10. Let d(i) = -13*i**3 + 2*i**2 - 21*i - 12. Let c(x) = 5*d(x) - 6*p(x). Suppose c(n) = 0. Calculate n.
-7, -3, 0
Let x(n) = -n**3 - n + 2. Let m(v) = 12*v**3 + 24*v**2 + 52*v + 8. Let a(f) = m(f) + 8*x(f). Factor a(l).
4*(l + 1)*(l + 2)*(l + 3)
Let h be (2/4)/((-1)/(-60)). Factor -h*q - 6 + 0*q**2 + 3*q**2 + 33*q.
3*(q - 1)*(q + 2)
Suppose n - 57 = 5*p, -4*n - 3 = 9. Let b = -8 - p. Factor -1 - 3/2*f**3 - 7/2*f - b*f**2.
-(f + 1)**2*(3*f + 2)/2
Let m be 3 - 4/(0 - 4). Let g(j) be the third derivative of 1/12*j**3 + 0 + 0*j - 6*j**2 + 0*j**5 + 1/480*j**6 - 1/32*j**m. Factor g(t).
(t - 1)**2*(t + 2)/4
Let o(j) = -6 + 12*j + 2*j**2 + 2*j - 8*j - j**3. Let q be o(3). Factor 0 - 6/5*d**q + 3/5*d**4 + 3/5*d**2 + 0*d.
3*d**2*(d - 1)**2/5
Let p be (-28)/(-77)*55/10. Let m(k) be the first derivative of -k**4 - 2/5*k**5 + 1/2*k**6 + 2/3*k**3 + 0*k + 1/2*k**p + 6. Let m(w) = 0. What is w?
-1, -1/3, 0, 1
Let d(o) be the first derivative of 0*o**3 - 1/2*o**4 - 1/5*o**5 + 0*o + 1/6*o**6 - 34 + 0*o**2. Solve d(b) = 0.
-1, 0, 2
Let d(s) be the second derivative of 5*s**4/12 + 25*s**3/3 + 105*s**2/2 + 194*s. What is m in d(m) = 0?
-7, -3
Suppose 5*u + 16 = u - 4*q, 0 = 3*q + 12. Let d(j) be the second derivative of 0*j**3 + 1/24*j**4 - 1/4*j**2 - 2*j + u. Suppose d(a) = 0. What is a?
-1, 1
Let g(h) be the first derivative of -h**3/7 - 9*h**2/14 + 324*h/7 + 6. Factor g(m).
-3*(m - 9)*(m + 12)/7
Let i = -22 - -24. Suppose 4*r - 94 = i*q, -5*r - 2*q - 3*q = -155. Find c such that -25*c**2 + r*c**2 - c + 0*c = 0.
0, 1
Let u(o) = -5*o**2 - 22*o + 7. Let s(x) = -2*x**2 - 8*x + 2. Let c(q) = -7*s(q) + 2*u(q). Factor c(m).
4*m*(m + 3)
Let p(u) be the third derivative of u**5/12 + 155*u**4/24 + 22*u**2 + 2. Factor p(k).
5*k*(k + 31)
Factor -1/6*f**2 - 2/3*f - 2/3.
-(f + 2)**2/6
Let d(v) be the second derivative of v**6/120 + v**5/20 + 4*v**2 - 4*v. Let y(l) be the first derivative of d(l). Factor y(g).
g**2*(g + 3)
Let k = -6414/319 + 620/29. Find s such that -2/11*s**2 - 16/11*s - k = 0.
-7, -1
Let y(g) be the third derivative of -g**7/945 - 11*g**6/540 - g**5/10 - 25*g**4/108 - 8*g**3/27 - 30*g**2. Factor y(c).
-2*(c + 1)**3*(c + 8)/9
Let k be 3/6*-4*-2. Suppose 2*c + k*c = 0. Determine q so that c*q**3 + 0*q - 3/5*q**2 + 3/5*q**4 + 0 = 0.
-1, 0, 1
Let n(w) be the third derivative of -5*w**8/1008 - w**7/21 + 5*w**6/24 - 2*w**5/9 - 26*w**2. Solve n(a) = 0 for a.
-8, 0, 1
Let b(d) be the third derivative of 0 + 28*d**2 + 0*d + 4/21*d**3 - 1/28*d**4 - 1/210*d**5. Factor b(i).
-2*(i - 1)*(i + 4)/7
Let j(i) be the second derivative of -i**8/1960 + i**7/420 - i**6/252 + i**5/420 - i**3/3 + 3*i. Let z(g) be the second derivative of j(g). Factor z(k).
-2*k*(k - 1)**2*(3*k - 1)/7
Let g(t) = -t**2 + 11*t + 7. Let w be g(10). Solve w*q - 4*q**2 + 41*q - 64 - 26*q = 0.
4
Suppose -16*i + 8 = -12*i. Suppose -3*z = -0*z - 6. What is m in 3*m**z - 2*m**4 - 2*m + 7 - 9 - 2*m**5 + 4*m**3 + m**i = 0?
-1, 1
Let b = -21 + 43. Let d = 27 - b. Solve -10 - y**3 + 0*y**3 - d*y + 0 + 6*y**3 + 10*y**2 = 0 for y.
-2, -1, 1
Let j = 3 + 12. Suppose 2*c = c + j. Factor c*d + 7 - 5*d**2 + 2*d**2 + 3*d - 34.
-3*(d - 3)**2
Let k = 286 + -286. Suppose 5*z + 3*s - 29 = k, 0 = -11*z + 14*z - 4*s. Suppose -14/11*i**2 - 4/11*i + 14/11*i**z + 4/11*i**3 + 0 = 0. What is i?
-1, -2/7, 0, 1
Let f(n) be the second derivative of -2*n**7/231 - 3*n**6/55 - 3*n**5/55 + 10*n**4/33 + 8*n**3/11 - 2*n + 8. Solve f(d) = 0.
-2, 0, 3/2
Let b(t) be the third derivative of t**7/5880 + t**6/420 + 3*t**5/280 + t**3/3 + t**2. Let c(w) be the first derivative of b(w). Factor c(p).
p*(p + 3)**2/7
Let c(n) = 3*n**3 + n**2. Let r be c(1). Suppose 