 = 2*k + 2, k - 5*z + z = 14. Suppose k*g**3 + o + 22/7*g + 32/7*g**2 = 0. What is g?
-1, -2/7
Let h(r) be the third derivative of r**5/600 + r**4/60 + r**3/20 - 7*r**2. Find l such that h(l) = 0.
-3, -1
Let h(n) be the third derivative of -n**6/60 + n**5/30 + n**4/12 - n**3/3 + 6*n**2. Factor h(j).
-2*(j - 1)**2*(j + 1)
Let -19*v - 7*v**2 + 3*v + 11*v**2 + 2 + 14 = 0. What is v?
2
Let -14*z + 16 + 0*z + 6*z + z**2 = 0. Calculate z.
4
Let u(o) = o**3 + o**2 + 1. Let q(l) = -5*l**4 - 15*l**2 - 10. Let b(r) = -q(r) - 10*u(r). Factor b(p).
5*p**2*(p - 1)**2
Let u(g) be the third derivative of 5*g**8/84 - 2*g**7/105 - g**6/2 - 7*g**5/15 + g**4/3 - 9*g**2. Let u(a) = 0. Calculate a.
-1, 0, 1/5, 2
Let h be 1 + 2 + -2 + 1. Factor -3*g + 2*g + h*g**2 - 2*g**3 + g**3.
-g*(g - 1)**2
Let t(l) be the first derivative of -l**3/5 + 11*l**2/10 + 4*l/5 + 9. What is j in t(j) = 0?
-1/3, 4
Let b be (-6)/(-1 + 1/(-2)). Let d be 1/3*3/b. Find h such that -1/4 + 11/4*h**2 - 5/2*h**4 - d*h + 2*h**5 - 7/4*h**3 = 0.
-1, -1/4, 1/2, 1
Let d(o) = -14*o**2 + 15*o - 4. Let s = 3 - -2. Let b(n) = s + 4*n**2 - 14*n - 1 - 3*n**2 + 13*n**2. Let t(y) = -3*b(y) - 4*d(y). Find a such that t(a) = 0.
2/7, 1
Let f be -1 + 2 + -3 - 1. Let h(s) = -2*s**4 - 5*s**3 - s**2 - s. Let q(w) = -w**3 - w**2 - w. Let v(k) = f*q(k) + h(k). Solve v(o) = 0.
-1, 0, 1
Let s be 8/1*13/65. Factor 8/5*d**3 + 2/5*d**4 + s*d + 2/5 + 12/5*d**2.
2*(d + 1)**4/5
Let z(c) be the first derivative of -c**8/1008 + c**7/315 + c**6/360 - c**5/90 - c**2 + 3. Let q(k) be the second derivative of z(k). What is t in q(t) = 0?
-1, 0, 1, 2
Let p(r) = r**5 + r**4 - r**3 + r**2 - r. Let d(c) = -14*c**5 + 9*c**4 - 4*c**3 - 5*c**2 + 7*c. Let n(s) = -3*d(s) - 21*p(s). Find w, given that n(w) = 0.
0, 2/7, 1
Suppose -2*n = 2*n + 88. Let q be 11/n*-2*4. Determine r, given that 0*r + 0 - 2/9*r**2 - 4/9*r**3 - 2/9*r**q = 0.
-1, 0
Let u(o) = -o**3 + o**2 - 7*o - 5. Let n(t) = 2*t**3 - t**2 + 13*t + 9. Let a(p) = 4*n(p) + 7*u(p). Find m such that a(m) = 0.
-1
Suppose 0 = 5*v - 10, -2*j = -j + 3*v - 10. Factor 21*o**5 - 9*o + 27*o**j + 9*o**4 - 12 - 42*o**2 + 18 - 12*o**3.
3*(o - 1)*(o + 1)**3*(7*o - 2)
Let f(t) be the first derivative of -3/2*t**2 + 2*t + 1/3*t**3 - 2. Let f(q) = 0. What is q?
1, 2
Let 4/15*r**2 + 0*r + 0 - 6/5*r**4 + 14/15*r**3 = 0. What is r?
-2/9, 0, 1
Let o(b) be the second derivative of -b**7/63 + 2*b**5/15 + b**4/9 - b**3/3 - 2*b**2/3 - 28*b. Find c, given that o(c) = 0.
-1, 1, 2
Let n = -27 + 8. Let m(w) = -w**3 - 18*w**2 + 19*w + 4. Let u be m(n). Suppose 0 - 4/11*z**2 + 6/11*z**3 + 0*z - 2/11*z**u = 0. What is z?
0, 1, 2
Suppose 5*c + 4 = -4*n, 3*n = -4 + 1. Let m(z) be the third derivative of -2*z**2 + c*z**3 - 1/120*z**6 + 0 - 1/30*z**5 - 1/24*z**4 + 0*z. Factor m(u).
-u*(u + 1)**2
Suppose 2*s - 2*j - 2 = 0, 3*s = s - j + 11. Suppose d = 0, -p - 2*d = d - s. Find h such that -2/9*h**5 + 0 + 2/9*h**p + 0*h**2 + 0*h + 0*h**3 = 0.
0, 1
Suppose -4*r - 5*m = -m - 36, 0 = -2*r - 5*m + 24. Find v, given that -3*v**4 - v**3 + r*v**2 - 1 - v**3 + 2*v**2 - 3 = 0.
-2, -2/3, 1
Factor -3*c**2 + 13*c**2 + 2*c - 7*c**2 + 4*c.
3*c*(c + 2)
Let w(o) be the third derivative of -o**6/30 + 2*o**5/15 - o**2. Let w(j) = 0. What is j?
0, 2
Let h(n) be the third derivative of -5*n**8/336 + n**7/42 + 5*n**6/24 + n**5/4 + 46*n**2. Factor h(x).
-5*x**2*(x - 3)*(x + 1)**2
Let i(f) = 14*f**4 + 8*f**3 + 2*f**2 - 8. Let c(y) = 9*y**4 + 5*y**3 + y**2 - 5. Let s(m) = -8*c(m) + 5*i(m). Factor s(k).
-2*k**2*(k - 1)*(k + 1)
Let r(w) be the third derivative of -2*w**7/315 + w**5/15 - w**4/9 + 13*w**2. Suppose r(d) = 0. What is d?
-2, 0, 1
Let m(c) be the first derivative of -c**4 + 8*c**3/3 + 6*c**2 - 25. Let m(p) = 0. Calculate p.
-1, 0, 3
Let v(o) be the second derivative of 3*o**5/20 - o**3/2 - 3*o. Suppose v(s) = 0. Calculate s.
-1, 0, 1
Let x be 20/25*5/(-1). Let z be 3 + x + (-3 - -6). Determine b, given that 0*b + 0 + 1/2*b**z = 0.
0
Let o = 272 - 270. Factor 15/2*i**3 + 15/4*i**4 + 15/4*i + 3/4 + 3/4*i**5 + 15/2*i**o.
3*(i + 1)**5/4
Let 0 - 1/5*n - 1/5*n**3 - 2/5*n**2 = 0. What is n?
-1, 0
Let k(m) be the first derivative of 1/3*m + 13/3*m**4 + 2*m**2 + 47/9*m**3 - 32/9*m**6 - 3 - 16/5*m**5. Suppose k(r) = 0. What is r?
-1, -1/4, 1
Let d be 16/20 - (0/(-3) + -1). Let h(j) be the first derivative of d*j**5 + 0*j**2 + 2/3*j**6 + 3/2*j**4 - 4 + 0*j + 1/3*j**3. Find c such that h(c) = 0.
-1, -1/4, 0
Suppose 5*b = 2*w + 12, 7 = 4*b - w - 2. Suppose 2/7*k**b + 2/7*k - 2/7*k**3 - 2/7 = 0. What is k?
-1, 1
Suppose -x - 4 = -o, 3*o = -2*x - 2*x + 5. Determine p, given that 0*p - 2/7*p**2 + 0 - 2/7*p**o = 0.
-1, 0
Let a = 31 + -17. What is n in a*n**2 - 5*n - 2*n + 8*n**3 + 3*n = 0?
-2, 0, 1/4
Let n = 2 + 2. Suppose -n*k = 2 - 10. Factor 7*b**2 + 3*b - 4*b**2 - 2*b + k*b.
3*b*(b + 1)
Let g(a) be the second derivative of 7/100*a**5 + 4*a + 1/5*a**4 + 0 - 1/5*a**2 + 1/10*a**3. Factor g(l).
(l + 1)**2*(7*l - 2)/5
Factor -2/5*m**2 + 2/5 - 2/5*m**3 + 2/5*m.
-2*(m - 1)*(m + 1)**2/5
Suppose 4*o = 3*r - 7*r - 4, 3*o + 5*r + 11 = 0. Let c(y) be the first derivative of -2/33*y**o + 2/11*y**2 - 2/11*y - 2. Factor c(b).
-2*(b - 1)**2/11
Let f(a) be the first derivative of -1/3*a**2 + 1/9*a**6 - 4/9*a**3 + 2 + 0*a + 4/15*a**5 + 0*a**4. Factor f(u).
2*u*(u - 1)*(u + 1)**3/3
Let l(w) be the second derivative of w**5/60 + w**4/12 + w**3/9 + 2*w. Solve l(u) = 0 for u.
-2, -1, 0
Let h = 4 + -4. Suppose -x + 1 + 1 = h. Determine y, given that -5*y - 2*y**3 + 48*y**4 + x*y - 32*y**5 - 12*y**2 + y = 0.
-1/4, 0, 1
Solve 0*d**2 - 1/4*d**4 - 9/8*d**5 + 0*d + 0*d**3 + 0 = 0.
-2/9, 0
Let n(f) be the first derivative of -f**4/48 - f**3/8 - f**2/4 + 3*f - 4. Let t(i) be the first derivative of n(i). Determine g so that t(g) = 0.
-2, -1
Let t(y) be the first derivative of -y**4/4 + 3*y**3 - 7*y**2/2 - 3. Let w be t(8). Factor w*i + 6*i**2 + 8/3.
2*(3*i + 2)**2/3
Suppose 4*v - 8 = -0*v. Factor -124*w**2 + w + 128*w**2 + w - 4*w**4 + v*w**5 - 4*w**5.
-2*w*(w - 1)*(w + 1)**3
Let k(h) be the second derivative of -2*h + 0 + 0*h**4 + 0*h**2 + 1/120*h**5 - 1/6*h**3 + 1/360*h**6. Let i(f) be the second derivative of k(f). Solve i(o) = 0.
-1, 0
Suppose 0 = -3*z + 3*v - 24, -5*z + 4*v = v + 34. Let p = z + 8. Let -2*c**2 + 0*c**3 - 3*c - c**p + 2*c = 0. What is c?
-1, 0
Factor -3*l**4 - 2*l + 2*l - 5*l**3 + 8*l**3.
-3*l**3*(l - 1)
Suppose -k - 5*u = 8, 12 = k + 2*u - 7*u. Factor -1/4*s - 1/4 + 1/4*s**k + 1/4*s**3.
(s - 1)*(s + 1)**2/4
Let i = -34 - -38. Let f(n) be the second derivative of 0 - i*n**2 - 4*n**3 - n - 3/2*n**4. Solve f(c) = 0 for c.
-2/3
Let l(j) = 5*j**2 + 0*j + 3*j - 10*j + 2*j + 6. Let i(q) = 14*q**2 - 14*q + 17. Let n(v) = -6*i(v) + 17*l(v). Factor n(f).
f*(f - 1)
Let n = 9 + -7. Suppose 4*y = n*y + 14. Find q, given that q**5 + 8*q**3 + y*q**4 + q**3 + q - 4*q**2 - 3*q**3 - 11*q**4 = 0.
0, 1
Let l(f) = -f**3 + 2*f**2 - 2*f + 1. Let a(c) = c**2 + 10*c - 10. Let s be a(-11). Let z be l(s). Factor z + 4/5*u - 2/5*u**2.
-2*u*(u - 2)/5
Let l(f) = -13*f**5 + f**4 - f**3 + 6*f**2 - 7. Let b(p) = 6*p**5 - 3*p**2 + 3. Let n(i) = -7*b(i) - 3*l(i). Factor n(w).
-3*w**2*(w - 1)*(w + 1)**2
Let d be (1/3)/((-5)/(-30)). Let b be (-20)/(-4) - (-43)/(-9). Factor -4/9*j**3 + 2/9*j**d + 0 + 0*j + b*j**4.
2*j**2*(j - 1)**2/9
Let b = -91 + 93. Factor 11/4*p**3 - 3*p + 3/2*p**4 - b + 1/4*p**5 + 1/2*p**2.
(p - 1)*(p + 1)*(p + 2)**3/4
Let k(m) be the third derivative of m**7/735 + m**6/105 + m**5/35 + m**4/21 + m**3/21 + 11*m**2. Factor k(x).
2*(x + 1)**4/7
Suppose 4*v - 112 = -0*o - 2*o, -3*v - 5*o = -77. Let n = v - 29. Factor n + 4/11*p**2 + 0*p - 2/11*p**3.
-2*p**2*(p - 2)/11
Let v = 817/4 + -204. Factor -v*f**2 + 1/4 + 0*f.
-(f - 1)*(f + 1)/4
Let r(m) = -4*m**2 + 88*m - 502. Let x(b) = -b**2 + 22*b - 125. Let v(u) = -2*r(u) + 9*x(u). Factor v(s).
-(s - 11)**2
Factor 28/3*n**3 + 4/3 + 4*n**4 + 32/3*n**2 + 2/3*n**5 + 6*n.
2*(n + 1)**4*(n + 2)/3
Let y(a) be the second derivative of -a**4/6 - 2*a**3/3 + 4*a. Factor y(m).
-2*m*(m + 2)
What is j in 2/13*j**2 - 12/13 - 2/13*j = 0?
-2, 3
Factor -3*i**3 - 17*i - 58*i - 30*i**2 + 0*i**3.
-3*i*(i + 5)**2
Suppose 0 = 3*w - 9 - 6. Let h = 7 - w. Factor 0*l + 0*l - l**4 + h*l**3 + 3*l**5 - 4*l**5.
-l**3*(l - 1)*(l + 2)
Let i(x) be the firs