 2*v**2 + 7*v - 28. Let b(h) = -h**2 + h + 1. Let f(a) = -6*b(a) - 2*s(a). Determine m so that f(m) = 0.
5
Suppose -2*m + 25 = 3*m. Suppose m*i + 3*n - 13 = 0, -5*i + 0*i - 4*n + 14 = 0. What is g in -7/4*g**i + 1/2 - 5/4*g = 0?
-1, 2/7
Let m(g) be the first derivative of 2/3*g**2 - 7/24*g**4 - 2 - 1/36*g**6 - 1/6*g**5 + 1/18*g**3 + 2/3*g. Let m(k) = 0. What is k?
-2, -1, 1
Suppose 0*w + 4*w = 0. Let h(o) be the second derivative of -2*o + 1/24*o**4 - 1/6*o**3 + w + 1/4*o**2. Determine t so that h(t) = 0.
1
Let f(q) be the first derivative of 0*q**3 + 1/20*q**4 - 5 - 2/5*q - 3/10*q**2. Factor f(r).
(r - 2)*(r + 1)**2/5
Suppose -6*n**3 + 12*n + 45*n**5 + 48*n**2 - 2*n**3 + 5*n**3 - 102*n**4 = 0. Calculate n.
-2/5, -1/3, 0, 1, 2
Suppose -9 = -3*q, 5*q = 5*s - 140 + 50. Let z = -41/2 + s. Factor 0*p + 0*p**3 + 0 - 1/2*p**4 + z*p**2.
-p**2*(p - 1)*(p + 1)/2
Let t = 2 - -6. Let z = t + -4. Factor 0*m + 4*m**z - 2*m + 2*m**2 - 6*m**4 + 2*m**3.
-2*m*(m - 1)**2*(m + 1)
Suppose 11 = t - f - 2*f, -3*f = 5*t - 37. Let b be 2/(-3)*(-6)/t. Solve 1/4*q**3 + 0 - 1/4*q**2 - b*q = 0.
-1, 0, 2
Let q(u) = -8*u**2 + 4*u + 1. Let r(n) = n**3 + 9*n - 7*n**2 - 1 - 9*n**2 + 2. Let l = 3 - -2. Let v(j) = l*q(j) - 3*r(j). Factor v(b).
-(b - 1)**2*(3*b - 2)
Let t(k) = k**2 - 17*k + 5. Let s be t(17). Let s - 2*q**3 + 5*q + q + 0 - 1 = 0. What is q?
-1, 2
Let d = -2/291 - -301/1455. Factor 3/5*n - d*n**2 - 2/5.
-(n - 2)*(n - 1)/5
Let m(u) = -5*u - 21. Let y be m(-5). Factor 0*g + 5/2*g**y + 3/2*g**5 + 0 - 1/2*g**2 + 1/2*g**3.
g**2*(g + 1)**2*(3*g - 1)/2
Let s be (-2)/3*(-8)/4. What is c in s*c + 2/3*c**2 + 0 = 0?
-2, 0
Suppose 5*d + 5*q = 13 + 17, -30 = -5*d + 2*q. Suppose -5*u + 17 = -4*b, -u - 25 = -d*u. Determine w so that -4*w**2 + 5*w**2 + 2*w**b - 3*w**4 = 0.
-1, 0, 1
Suppose -4*v + 3*h = 36, -3*v = 4*h + 4 - 2. Let u be (-18)/30 - v/10. Solve 4/7*i**3 + 2/7*i**2 + 0*i + u + 2/7*i**4 = 0.
-1, 0
Suppose 0 = 4*n - 7 - 1. Determine h, given that 6*h**2 + 2*h + h**n - 9*h**2 = 0.
0, 1
Suppose 2*y - 5*y + 6 = 0. Let g(z) be the first derivative of y + 1/16*z**4 + 1/10*z**5 + 1/24*z**6 + 0*z**2 + 0*z + 0*z**3. Factor g(a).
a**3*(a + 1)**2/4
Let v(d) = d**3 - d**2 - 2*d + 1. Let z(q) = -q**2 + 4 - 2*q + 3*q - 5. Let p(b) = v(b) - z(b). Let p(h) = 0. Calculate h.
-2, 1
Let h = -13460 - -53307/4. Let l = h + 134. Determine w so that -1/4*w**2 - l*w - 1/4*w**4 + 1/2 + 3/4*w**3 = 0.
-1, 1, 2
Let q(a) be the third derivative of 0*a**4 + 2*a**2 + 1/30*a**5 + 1/35*a**7 + 1/20*a**6 + 0 + 1/168*a**8 + 0*a**3 + 0*a. Factor q(r).
2*r**2*(r + 1)**3
Let w(u) be the third derivative of -7*u**8/216 + 52*u**7/135 + 11*u**6/27 + 16*u**5/135 + 10*u**2 + 2*u. Factor w(x).
-2*x**2*(x - 8)*(7*x + 2)**2/9
Let a(c) = c**2 + 6*c - 5. Let l be a(-7). Factor f - 5 + 1 + f + 2*f**2 + 2 - l*f**3.
-2*(f - 1)**2*(f + 1)
Suppose 7 + 1 = 2*a. Factor h**2 + h**2 - 3*h - a + 15*h - 10*h.
2*(h - 1)*(h + 2)
Let d(h) = 5*h - 2. Let v be d(2). Let k(g) = -14*g**3 - 6*g**2 + 6*g + 14. Let r(s) = 5*s**3 + 2*s**2 - 2*s - 5. Let z(l) = v*r(l) + 3*k(l). Factor z(j).
-2*(j - 1)*(j + 1)**2
Suppose 5*a - 18 = -y + 37, 22 = 2*a + y. Factor 37 - 21 + 4*r**2 + 5*r + a*r.
4*(r + 2)**2
Let v(m) be the third derivative of m**7/210 - m**6/12 + 2*m**5/5 + 5*m**4/12 - 25*m**3/6 + 25*m**2. Determine n, given that v(n) = 0.
-1, 1, 5
Let f = -12 + 40/3. Let x(u) be the first derivative of -1/3*u**2 - 2/9*u**3 - 2 + f*u. Factor x(k).
-2*(k - 1)*(k + 2)/3
Let s(r) be the first derivative of r**4/10 + 2*r**3/15 - r**2/5 - 2*r/5 - 15. Determine m, given that s(m) = 0.
-1, 1
Let m(d) = -3*d**2 - 1 + 0*d**2 - d + 2*d**2. Let z(o) = -2*o**2 - 4*o - 6. Let q(j) = 4*m(j) - z(j). Factor q(v).
-2*(v - 1)*(v + 1)
Suppose 0 + 4*m + 3*m**2 + 2*m + 0 = 0. What is m?
-2, 0
Let g(k) = -4*k**2 - 7*k + 11. Let o(f) = 2*f**2 + 4*f - 6. Let q(t) = t**3 - 3*t**3 - 1 + t**2 + t**3. Let r be q(-2). Let y(v) = r*o(v) + 6*g(v). Factor y(d).
-2*d*(d - 1)
Suppose 3*s - 15 = -0*s. Suppose -5*h = -20, 4*k - 2*k + 2 = s*h. Solve -32*d**3 + 4 + 56*d**5 - 26*d**3 + k*d**4 + 2*d - 62*d**2 + 49*d**4 = 0 for d.
-1, -2/7, 1/4, 1
Let a(m) be the third derivative of 0*m**3 + 0*m + 1/30*m**5 + 5/336*m**8 + 0 + 1/120*m**6 + 3*m**2 + 0*m**4 - 4/105*m**7. Factor a(r).
r**2*(r - 1)**2*(5*r + 2)
Let v(s) = -s**2 + 8*s - 7. Let a be -1 + -1 - (-2 - 6). Let d be v(a). Factor 0*b + 4*b**2 - d*b**2 + b.
-b*(b - 1)
Solve -2*i**3 - 12*i**2 + 2 + 2*i**3 + 5*i**3 + 2*i**3 + 3*i = 0 for i.
-2/7, 1
Factor -15/2*m - 5 - 5/2*m**2.
-5*(m + 1)*(m + 2)/2
Let z be (-10)/1*(-10)/20. Let m be 1/(-2)*0 - -2. What is g in -7*g - 2 + 0*g**2 - 2*g**2 + 7*g**3 + z*g**4 - g**m = 0?
-1, -2/5, 1
Let m be 0/((3 + 0)/(-3)). Factor -b + 7*b**2 - 8*b**2 + 0 + m.
-b*(b + 1)
Let d be (-40)/(-166)*(-116)/(-56). Let s = 6/83 + d. Factor s + 6/7*j - 6/7*j**4 - 2*j**3 - 6/7*j**2.
-2*(j + 1)**3*(3*j - 2)/7
Let i = -3 - -7. Factor -4*t**5 + t**5 + 0*t**3 + 2*t**i + 10*t**4 - 12*t**3.
-3*t**3*(t - 2)**2
Suppose 0 = 4*m - m - 3. Suppose 13 = 4*s + m. Let -2/3*i**s - 2*i - 2*i**2 - 2/3 = 0. What is i?
-1
Suppose -2 - 3*q**2 + 8 + 106*q - 103*q = 0. What is q?
-1, 2
Let b be 9/(-45)*(-2)/2. Let q(m) be the first derivative of -3 + 2/15*m**3 - b*m**2 - 4/5*m. Find l, given that q(l) = 0.
-1, 2
Let o be -76*(-6)/1008 + 2/(-12). Factor -o*n**2 - 2/7 + 4/7*n.
-2*(n - 1)**2/7
Solve -8/7*o**3 - 2/7 - 12/7*o - 18/7*o**2 = 0 for o.
-1, -1/4
Let n(y) be the first derivative of 19*y**4/18 - 80*y**3/27 + 23*y**2/9 - 4*y/9 - 19. Factor n(t).
2*(t - 1)**2*(19*t - 2)/9
Let h = 7 + -5. What is a in -5*a + 13*a - 3*a**h + 8 + 5*a**2 = 0?
-2
Let k be (-2)/4*((-10)/(-2) - 6). Factor 1/2*d**2 + 0 + k*d.
d*(d + 1)/2
Let g(a) be the first derivative of a**3/9 + a**2/2 + 4. Factor g(y).
y*(y + 3)/3
Suppose -3 = -i - 0*i. Let b = 6 - i. Factor 2/11*d**4 + 0*d + 2/11 - 4/11*d**2 + 0*d**b.
2*(d - 1)**2*(d + 1)**2/11
Let b(l) be the first derivative of l**6/6 - 5*l**4/4 + 2*l**2 - 7. Find s such that b(s) = 0.
-2, -1, 0, 1, 2
Suppose 2*x + 2 = -a - a, -4*x - 2*a - 2 = 0. Find o, given that 0*o**3 - 2*o + 5*o + x*o**3 - 3*o**3 = 0.
-1, 0, 1
Factor 0 - 3/2*m**2 + 3/2*m.
-3*m*(m - 1)/2
Let p(x) = 4*x**3 + x**2 - 1. Let j be p(1). Suppose j + 2 = 3*a. Factor 6*f**3 - a*f**2 - 7*f**3 + 0*f**3.
-f**2*(f + 2)
Let a = -24 - -16. Let o = a + 10. Factor 0*g + 0 - 2/5*g**4 - 4/5*g**3 - 2/5*g**o.
-2*g**2*(g + 1)**2/5
Suppose -4 = 2*l - 10. Suppose 3*x**2 - 7*x**3 + x**l - 6*x**2 - 3*x**4 = 0. Calculate x.
-1, 0
Let a(l) be the second derivative of -7/8*l**4 - 3/2*l**2 + 0 - 3*l + 9/4*l**3. Determine i, given that a(i) = 0.
2/7, 1
Suppose -20 = -7*z + 2*z. Let q(k) be the first derivative of 0*k**3 - 1/10*k**5 + 2 + 1/2*k**2 + 1/2*k - 1/4*k**z. Find p such that q(p) = 0.
-1, 1
Let o(w) be the second derivative of -5*w**7/63 - w**6/15 + w**5/15 - 25*w. Solve o(r) = 0.
-1, 0, 2/5
Let 5*t**3 - 7*t**5 + t**3 - 8*t**4 + 9*t**5 + 8*t**2 - 8*t = 0. Calculate t.
-1, 0, 1, 2
Let z(c) be the first derivative of -3*c**5/5 + 3*c**3 + 3*c**2 - 4. Solve z(t) = 0 for t.
-1, 0, 2
Let a(k) be the third derivative of -1/630*k**7 - 2*k**2 + 0*k + 0*k**6 + 0*k**3 + 0*k**5 + 0 + 0*k**4 - 1/1008*k**8. Factor a(g).
-g**4*(g + 1)/3
Let t(c) = 2*c**3 - 11*c**2 + 7*c - 4. Let r(s) = -s**2 - s. Let j(m) = 3*r(m) - t(m). Let j(g) = 0. What is g?
1, 2
Let -8*a**3 - 2*a**5 - 6*a**2 + 4*a - 8*a**3 + 14*a**3 + 6*a**4 = 0. What is a?
-1, 0, 1, 2
Let v = 35 + -33. Let x be (v/(-8))/(21/(-28)). Factor -1/3*f**4 + 1/3*f**3 + 0 + x*f**2 - 1/3*f.
-f*(f - 1)**2*(f + 1)/3
Let r(l) be the first derivative of -l**6/8 - 3*l**5/20 + 3*l**4/16 + l**3/4 - 18. Factor r(c).
-3*c**2*(c - 1)*(c + 1)**2/4
Let 2*b**4 - 2*b**4 - 235*b**5 + 2*b**3 + 233*b**5 = 0. Calculate b.
-1, 0, 1
Let -2*l**2 + 5*l**4 + 13*l**3 - 7*l**4 - 9*l**3 = 0. Calculate l.
0, 1
Let j = 4 - 0. Suppose -210 = -j*b - 30. Suppose 16*x**3 - b*x**3 + 26*x**2 + 2*x**2 - 20*x**3 - 4*x = 0. What is x?
0, 2/7
Suppose 2*l = 0, -3*h - h + 5*l = -12. Suppose h*q - 7*q**2 + 3 - 6*q + 4*q**2 + 3 = 0. What is q?
-2, 1
Let l(s) = -5*s**5 + 2*s**4 + 4*s**3 + 4*s - 4. Let o(k) = k**5 - k**4 - k**3 - k + 1. Let y(q) = -l(q) - 4*o(q). Factor y(a).
a**4*(a + 2)
What is x in -4/15*x + 0 - 2/5*x**3 + 2/15*x**5 + 2/3*x**2 - 2/15*x**4 = 0?
-2, 0, 1