 u - 2*u + 15. Let g = b - 6. Factor -1 + 1/2*m**g - 1/2*m.
(m - 2)*(m + 1)/2
Let c = -1/15 + 2/5. Factor -1/3*s**2 + c + 0*s.
-(s - 1)*(s + 1)/3
Suppose c - 92 = 66. Let m = -1102/7 + c. Factor -10/7*t + 8/7*t**2 - 2/7*t**3 + m.
-2*(t - 2)*(t - 1)**2/7
Let l(a) be the third derivative of a**6/420 - a**5/210 - a**4/42 - 6*a**2. Let l(k) = 0. Calculate k.
-1, 0, 2
Let g(z) be the first derivative of -1/12*z**4 + 0*z**2 + 1 - 1/15*z**5 + 1/18*z**6 + 1/9*z**3 + 0*z. Factor g(m).
m**2*(m - 1)**2*(m + 1)/3
Suppose 18*w = 15*w + 15. Let o(b) be the first derivative of 0*b**2 + 1/6*b**6 - 1/5*b**w - 1 + 1/3*b**3 + 0*b - 1/4*b**4. Factor o(c).
c**2*(c - 1)**2*(c + 1)
Let n(g) = -3*g**3 + 12*g**2 + g + 7. Let i(v) = 2*v**3 - 12*v**2 - 2*v - 6. Let y(o) = -7*i(o) - 6*n(o). Determine q, given that y(q) = 0.
-2, -1, 0
Let s(p) = p**3 - 4*p**2 - p + 3. Let r be s(4). Let b(h) = h**2 - 1. Let x be b(r). Suppose 0*g**2 - 1/2*g**3 + x + 0*g = 0. What is g?
0
Let o = -69241/15 - -4610. Let g = -22/5 - o. Factor -1/3*m**3 + 4/3*m**2 - g*m + 2/3.
-(m - 2)*(m - 1)**2/3
Let g(w) = -19*w**2 - 38*w - 13. Let b(k) = -9*k**2 - 19*k - 6. Let a(v) = 7*b(v) - 3*g(v). Determine s, given that a(s) = 0.
-3, -1/6
Suppose g - 35 + 13 = 0. Let q be ((-3)/g)/((-1)/4). Factor -14/11*r**3 - 4/11 - q*r + 24/11*r**2.
-2*(r - 1)**2*(7*r + 2)/11
Let r(z) be the third derivative of -2*z**7/525 - z**6/50 + 2*z**4/15 + 8*z**2. Find t, given that r(t) = 0.
-2, 0, 1
Let z be (-14)/63 + 94/18. Let x(c) be the third derivative of 1/30*c**z + 0*c + c**2 + 0 + 1/3*c**3 + 1/6*c**4. Factor x(h).
2*(h + 1)**2
Let d be (-3)/(-1) - (-4)/(-4). Let -2*m**2 - m + 2 - m**3 + 0*m - d = 0. What is m?
-1, 0
Let q(y) be the second derivative of y**5/20 + 9*y. Suppose q(z) = 0. Calculate z.
0
Let m(f) be the first derivative of -f**8/1680 + f**7/840 + f**6/180 - f**3/3 - 2. Let d(y) be the third derivative of m(y). Let d(t) = 0. Calculate t.
-1, 0, 2
Let g(v) be the second derivative of -v**7/1260 + v**6/270 - v**5/180 + 5*v**3/6 + v. Let i(y) be the second derivative of g(y). Factor i(w).
-2*w*(w - 1)**2/3
Find r such that -128/5 - 4/5*r**3 - 128/5*r - 8*r**2 = 0.
-4, -2
Let t be (14 + 4)*(-2)/(-560). Let d = t + 383/140. Find w, given that 2*w**2 + 4/5 + d*w = 0.
-1, -2/5
Factor 8*z**3 + 0 - 7/2*z**4 + z - 11/2*z**2.
-z*(z - 1)**2*(7*z - 2)/2
Let a be 4*(-6)/6*(-1)/6. Suppose -2/9 - 4/9*c**2 - 4/9*c**3 + 2/3*c + a*c**4 - 2/9*c**5 = 0. What is c?
-1, 1
Let i(u) be the first derivative of 0*u**3 - 1/3*u**6 + 1/6*u**4 + 0*u + 4/15*u**5 - 2 + 0*u**2. Solve i(s) = 0 for s.
-1/3, 0, 1
Let o(a) be the first derivative of -1 + 1/2*a**2 + 0*a + 1/20*a**5 - 1/4*a**4 + 0*a**3. Let g(p) be the second derivative of o(p). Factor g(w).
3*w*(w - 2)
Let k(x) = 5*x**3 - x**2 + 6*x - 6. Let p be k(1). What is a in 1/5*a**p + 0*a + 6/5*a**3 + 9/5*a**2 + 0 = 0?
-3, 0
Let j(v) be the third derivative of -v**5/15 - 5*v**4/3 - 50*v**3/3 + 32*v**2. Factor j(s).
-4*(s + 5)**2
Suppose 1/2*j**2 + 0*j**3 + 0 - 1/4*j - 1/2*j**4 + 1/4*j**5 = 0. Calculate j.
-1, 0, 1
Let b(n) = 4*n**2 - 6. Let m(a) = -9*a**2 + 13. Let l(y) = 13*b(y) + 6*m(y). Factor l(j).
-2*j**2
Let l(z) = 3 - 14*z**3 - 3 + 6*z - 3 - 6*z**2 + 5. Let t(i) = 15*i**3 + 7*i**2 - 5*i - 3. Let s(d) = 3*l(d) + 2*t(d). Let s(a) = 0. What is a?
-1, 0, 2/3
Let x = 5 + -14. Let d(s) = -6*s**5 + 3*s**4 + 9*s**3 - 9*s**2. Let p(h) = -h**5 + h**4 + h**3 - h**2. Let n(i) = x*p(i) + d(i). Find o, given that n(o) = 0.
0, 2
Let a = 4 + -4. Suppose a = 3*n - 6 - 3. Factor -2/7*b**5 + 0 - 26/7*b**n - 12/7*b**4 - 24/7*b**2 - 8/7*b.
-2*b*(b + 1)**2*(b + 2)**2/7
Let p(o) be the first derivative of 2*o**2 + 2/3*o**3 + 0*o + 4. Determine s so that p(s) = 0.
-2, 0
Find n such that 7*n**2 - 2*n**2 + 25 + 3*n**2 - 30*n - 3*n**2 = 0.
1, 5
Let i(z) = -2*z - 2. Let n be i(2). Let a be (-24)/15 + (-4 - n). Determine j so that 1/5 - 3/5*j + a*j**2 = 0.
1/2, 1
Suppose -7/3*h**3 - 1/3*h**2 + 8/3*h + 5/3*h**4 - 4/3 - 1/3*h**5 = 0. Calculate h.
-1, 1, 2
Let b(k) be the third derivative of -1/28*k**4 + 3*k**2 + 0*k - 1/420*k**6 - 1/21*k**3 - 1/70*k**5 + 0. Suppose b(h) = 0. Calculate h.
-1
Let o = 24 + -26. Let s be o/3 - (-13)/15. What is r in s*r**3 - 1/5*r**2 - 1/5*r + 0 + 1/5*r**4 = 0?
-1, 0, 1
Suppose 2*q + 4*j + 38 = 5*q, 2*j - 16 = -q. Let -1 - 8*m**3 - q*m**5 + 80*m**2 + 57*m**4 - 92*m**3 + 5 - 30*m + 3*m**4 = 0. Calculate m.
2/7, 1
Let d be (-30)/(-5) + 3 + -5. Let f(u) be the second derivative of 1/8*u**d + 0 + 3/2*u**2 + 3/4*u**3 + 3*u. Solve f(i) = 0.
-2, -1
Factor 0 - 2/3*y**2 + 2*y.
-2*y*(y - 3)/3
Let p(g) = -g**3 + 16*g**2 + 38*g - 32. Let y be p(18). Factor -3*m**2 - 2/3*m + 3*m**y + 2/3*m**3 + 0.
m*(m - 1)*(m + 1)*(9*m + 2)/3
Suppose -4*z**4 + 31 + 2*z**2 - 2*z**5 + 2*z**2 + 2*z**3 - 31 = 0. What is z?
-2, -1, 0, 1
Let z(v) be the second derivative of -v**6/180 - v**5/40 - v**4/24 - v**3/36 + 6*v. Determine p, given that z(p) = 0.
-1, 0
Factor -14/5*z**2 + 2/5*z**4 - 12/5 - 26/5*z + 2/5*z**3.
2*(z - 3)*(z + 1)**2*(z + 2)/5
Let l(c) = 3*c**4 - c**3 - 7*c**2 + 6*c + 9. Let d(p) = -2*p**4 + 4*p**2 - 3*p - 5. Let s(m) = -5*d(m) - 3*l(m). Find k such that s(k) = 0.
-2, -1, 1
Let f(c) be the third derivative of c**6/60 + c**5/15 + 24*c**2. Suppose f(h) = 0. Calculate h.
-2, 0
Let k be (2 - 0) + -1 - -1. Suppose k*v - 7 = -3. Suppose -3*s**v + s**2 - s - s = 0. What is s?
-1, 0
Let y = 51 - 149/3. Factor 2/3*i - 20/3*i**2 + y.
-2*(2*i - 1)*(5*i + 2)/3
Suppose 10*h - h - 18 = 0. What is x in -3/7*x**4 + 0*x**h + 6/7*x**3 - 6/7*x + 3/7 = 0?
-1, 1
Let z(k) be the first derivative of -k**8/2240 + k**7/1120 + k**6/480 - k**5/160 - k**3/3 + 2. Let c(n) be the third derivative of z(n). Factor c(g).
-3*g*(g - 1)**2*(g + 1)/4
Let u(i) = 5*i**4 - 8*i**3 - 7*i**2 + 2. Let r(z) = 6*z**4 - 9*z**3 - 6*z**2 + 3. Let n(g) = 2*r(g) - 3*u(g). Find y such that n(y) = 0.
-1, 0, 3
Let d(o) = 8*o**2 + 3*o - 5. Let a(c) = -15*c**2 - 5*c + 10. Let v(u) = 2*a(u) + 5*d(u). Factor v(r).
5*(r + 1)*(2*r - 1)
Let g(k) be the first derivative of k**4/2 - 20. Factor g(f).
2*f**3
Suppose 0 = k + 4. Let a be k/18 - (-6)/27. Suppose -1/4*x**3 - 1/2 + a*x**2 + 3/4*x = 0. Calculate x.
-2, 1
Let g(k) be the second derivative of -3*k**5/20 - k**4/4 - k. Factor g(h).
-3*h**2*(h + 1)
Let j(l) = -l + 11. Let m be j(8). Suppose c - m = -1. Factor -c*z**5 + 4*z**4 - 4*z**2 + 2*z + 4*z**5 - 4*z.
2*z*(z - 1)*(z + 1)**3
Let n(j) be the first derivative of -2/21*j**3 + 0*j + 2 + 1/84*j**4 + 1/210*j**5 - j**2. Let h(g) be the second derivative of n(g). Solve h(d) = 0 for d.
-2, 1
Find w, given that 1/3 + 4/3*w + 4/3*w**3 + 1/3*w**4 + 2*w**2 = 0.
-1
Suppose -4*b = 5*t - 3, 0 = 4*b - 0*b - 5*t + 27. Let j be ((-4)/b)/((-6)/(-9)). Suppose -1/3*a**5 - 2/3*a**4 + 2/3*a**j + 0 + 0*a**3 + 1/3*a = 0. What is a?
-1, 0, 1
Let u(z) be the second derivative of -7*z**6/135 + 2*z**5/15 - z**4/18 - 2*z**3/27 - 10*z. Factor u(p).
-2*p*(p - 1)**2*(7*p + 2)/9
Suppose 2*h + p - 19 = 0, 3*p = -4*h + 4*p + 29. Let 3*w**4 - 5*w**4 - 5*w - w - h*w**5 + 4*w**2 - 2*w - 2 + 16*w**3 = 0. Calculate w.
-1, -1/4, 1
Let z = -7/613 - -82163/1839. Factor -26*i**4 - 8/3 - 16*i - 38*i**2 - 6*i**5 - z*i**3.
-2*(i + 1)**3*(3*i + 2)**2/3
Let p be (-3 - -2)/(((-5)/15)/1). Let t(w) be the first derivative of -2/5*w**5 - 2/3*w**4 + 1 + 1/2*w**6 - 1/6*w**2 + 2/3*w**p + 0*w. What is i in t(i) = 0?
-1, 0, 1/3, 1
Let r(b) be the second derivative of -b**5/70 + b**3/21 + 8*b. Factor r(y).
-2*y*(y - 1)*(y + 1)/7
Let i(y) be the third derivative of -1/72*y**4 - 1/60*y**5 + 0 + 0*y - 1/120*y**6 + 0*y**3 - 1/630*y**7 - 4*y**2. Determine b, given that i(b) = 0.
-1, 0
Let n(f) be the second derivative of 1/14*f**7 + 1/20*f**5 - 1/6*f**6 + 0 + 0*f**2 + 1/12*f**4 + 0*f**3 + 2*f. Factor n(a).
a**2*(a - 1)**2*(3*a + 1)
Let r(n) be the second derivative of -n - 2/3*n**3 - 2*n**2 + 0 - 1/12*n**4. Factor r(t).
-(t + 2)**2
Let a(t) = t**3 - 4*t**2 - t + 4. Let k = 11 + -14. Let i(c) = -c - 12*c**2 + 12 + 4*c**3 - 2*c**3 - c. Let m(x) = k*i(x) + 8*a(x). Let m(u) = 0. Calculate u.
-2, -1, 1
Let k(p) be the second derivative of p**6/90 + p**5/60 - p**4/18 - 11*p. Let k(x) = 0. Calculate x.
-2, 0, 1
Solve 4/11*i**3 + 4/11 - 6/11*i - 6/11*i**2 = 0.
-1, 1/2, 2
Let g(o) be the second derivative of 0*o**3