*(q + 1)*(q + 3)
Let x(v) be the first derivative of -v**5/5 + v**4/2 - v**3/3 + 5. Factor x(z).
-z**2*(z - 1)**2
Let k(o) be the first derivative of o**6/60 - o**4/4 - 2*o**3/3 - o**2/2 - 5. Let b(z) be the second derivative of k(z). Suppose b(p) = 0. Calculate p.
-1, 2
Let a be -10 + 13 + (-2 - -4). Let -2*v**3 + 18/5*v**4 - 4/5*v - 18/5*v**2 + 0 + 14/5*v**a = 0. Calculate v.
-1, -2/7, 0, 1
Suppose -12 = 4*u, 5*c - 19 = 3*c + 5*u. Let s(d) be the second derivative of 0*d**c + 1/42*d**4 + d + 0*d**3 + 0. Determine b, given that s(b) = 0.
0
Let n(h) be the second derivative of 5*h**7/42 + h**6/2 - 5*h**4/3 + 2*h + 8. Let n(r) = 0. Calculate r.
-2, 0, 1
Let a(i) be the first derivative of -i**3/12 + 3*i**2/8 - 26. Factor a(z).
-z*(z - 3)/4
Let j be (-10)/132 + (-7)/(-42). Let x(t) be the first derivative of 0*t - j*t**2 - 1 - 2/33*t**3. Factor x(q).
-2*q*(q + 1)/11
Let r(d) = -10*d**3 - 12*d**2 + 38*d - 16. Let m(z) = -z**3 + z. Let q(w) = -10*m(w) - r(w). Factor q(l).
4*(l - 1)*(l + 2)*(5*l - 2)
Suppose 6*w - 10*w = -2*l - 20, -4*l = -3*w + 15. Factor -2/9*y + 2/9*y**2 + l.
2*y*(y - 1)/9
Let c(l) be the third derivative of -l**7/840 - 7*l**6/480 - 3*l**5/40 - 5*l**4/24 - l**3/3 + 6*l**2. Find o, given that c(o) = 0.
-2, -1
Find w such that -1/5*w**4 + 3/5*w**2 - w + 2/5 + 1/5*w**3 = 0.
-2, 1
Let c(y) = -4*y**4 + 4*y**3 + 4*y**2 - 8*y. Let o(d) = 5*d**4 - 3*d**3 - 5*d**2 + 9*d. Let z(t) = -3*c(t) - 2*o(t). Factor z(b).
2*b*(b - 3)*(b - 1)*(b + 1)
Suppose -2*l = -3*l + 6. Factor -10*h + l*h**3 + 4*h - 10*h**2 - 3*h**4 + 13*h**2.
-3*h*(h - 2)*(h - 1)*(h + 1)
Let h(n) = -2*n**5 - 6*n**4 + 14*n**3 + 2*n**2 + 10. Let g(z) = -z**4 + z**3 + z**2 + z + 1. Let f(q) = 6*g(q) - h(q). Factor f(j).
2*(j - 1)**3*(j + 1)*(j + 2)
Find n, given that -4/5*n**4 + 7/5*n**2 + 0 + n**3 - 2/5*n = 0.
-1, 0, 1/4, 2
Let x(u) be the third derivative of -u**8/10920 - u**7/1820 - u**6/780 - u**5/780 + u**3/2 - 4*u**2. Let m(y) be the first derivative of x(y). Factor m(d).
-2*d*(d + 1)**3/13
Let u be 8 + -3 + 3 + -2. Factor -2*l**3 + u*l**2 + 6*l**5 - 3*l**5 - l**3 - 6*l**4.
3*l**2*(l - 2)*(l - 1)*(l + 1)
Let a(z) = 4*z - 13. Let g be a(4). Let n(b) be the first derivative of 0*b**2 - 2/21*b**g + 2 + 0*b. What is j in n(j) = 0?
0
Let k(a) be the second derivative of -a**9/432 + a**8/840 + 2*a**3/3 - 3*a. Let r(y) be the second derivative of k(y). Let r(v) = 0. Calculate v.
0, 2/7
Let z(m) be the first derivative of m**5/10 - m**3 + 2*m**2 - 5*m + 2. Let k(u) be the first derivative of z(u). Factor k(b).
2*(b - 1)**2*(b + 2)
Let m = 27 + -25. Suppose -4*s + 12 = -5*a, -m*s = 3*s - 15. Suppose -1/2*f**3 + a + 0*f**2 + 0*f = 0. Calculate f.
0
Let n(v) = -10*v**2 + 22*v - 13. Let c(f) = 7*f**2 - 15*f + 9. Let g(a) = -7*c(a) - 5*n(a). Let q be g(5). Suppose -2*s**q + 2*s**2 + 2*s**2 = 0. Calculate s.
0
Let d be ((-12)/54)/(((-20)/(-102))/(-5)). Determine u, given that 1/3 + 0*u**2 - 2*u**5 + 4/3*u - 14/3*u**3 - d*u**4 = 0.
-1, -1/3, 1/2
What is b in -81 - 15*b - 5*b - 5*b**2 + 61 = 0?
-2
Suppose 0 = -5*a - 5*z + 35, 11 = -4*a - 2*z + 33. Factor -s**2 + 0*s**5 - 3*s**4 + s**5 + 7*s**3 - a*s**3.
s**2*(s - 1)**3
Let k(u) = -u**3 + 7*u**2 - 5*u + 4. Let i be k(6). Let v = i - 7. Suppose -4/7 + 52/7*x**2 - 48/7*x**4 - 32*x**5 - 18/7*x + 242/7*x**v = 0. What is x?
-1, -1/4, 2/7, 1
Let r(k) be the third derivative of 3/10*k**5 + 1/2*k**3 - k**2 - 1/2*k**4 - 1/10*k**6 + 0 + 1/70*k**7 + 0*k. What is c in r(c) = 0?
1
Factor 161/4*b**2 + 11*b + 49*b**3 + 1.
(4*b + 1)*(7*b + 2)**2/4
Factor -7*c - c**2 + 8*c + 0*c.
-c*(c - 1)
Suppose 2*q - 8 = -0*q. Let y be 2 + -7 + q - -5. Factor 0 - 2/5*f**y - 2/5*f**3 + 2/5*f + 2/5*f**2.
-2*f*(f - 1)*(f + 1)**2/5
Let f(m) be the third derivative of -m**8/420 - 2*m**7/525 + m**6/150 + m**5/75 + 8*m**2. Factor f(j).
-4*j**2*(j - 1)*(j + 1)**2/5
Let t be 0/(-1)*(-10 + 252/24). Factor 0*j**2 + t*j + 2/7*j**3 + 0.
2*j**3/7
Suppose -10 = -2*g - 3*g. Solve 18*c + 1 - 10*c**2 - 6*c**4 + 15*c**3 + 7*c**3 - 20*c**g - 5 = 0 for c.
2/3, 1
Let l(z) = z + 1. Let v(h) be the third derivative of h**5/60 - h**3/6 + 2*h**2. Let y(n) = 3*l(n) + v(n). Factor y(b).
(b + 1)*(b + 2)
Let w be 32/(-6) + -4 + 5. Let t = w + 71/15. Suppose -1/5 - 1/5*a**2 + t*a = 0. What is a?
1
Let n be 6/(-4)*8/(-3). Suppose -s = -n*s. Factor 2*l + 3*l**3 + s*l**3 - 5*l**3.
-2*l*(l - 1)*(l + 1)
Let v(s) be the first derivative of 2*s**3/27 + 4*s**2/9 + 2*s/3 - 16. Solve v(q) = 0 for q.
-3, -1
Let u(q) be the third derivative of 1/300*q**5 + 4*q**2 + 0 + 0*q + 0*q**4 + 2/3*q**3 + 1/900*q**6. Let n(z) be the first derivative of u(z). Factor n(a).
2*a*(a + 1)/5
Suppose -4 = -2*l - 2*p, p = -5*l + 3 - 1. Let 0 - 2/9*q + 0*q**2 - 2/9*q**5 + l*q**4 + 4/9*q**3 = 0. What is q?
-1, 0, 1
Let q be ((-63)/2)/(33/(-56)). Suppose 5*d - 4*b = 14, -5 + 3 = d + 4*b. Factor q*w**d + 16/11 - 686/11*w**3 - 168/11*w.
-2*(7*w - 2)**3/11
Let j(d) be the second derivative of 3*d**5/140 + d**4/28 + 4*d. Factor j(g).
3*g**2*(g + 1)/7
Suppose -w - 132 = 5*w. Let x be 3/w*56/(-42). Suppose -2/11*s - x*s**5 - 2/11*s**4 + 4/11*s**3 + 4/11*s**2 - 2/11 = 0. What is s?
-1, 1
Let a be 6 - -4*(-6)/8. Suppose g**4 + g**2 + 0*g**4 - 2*g**4 - g + g**a = 0. What is g?
-1, 0, 1
Let u be 1 + -8 - -2*1. Let k(n) = n**2 + 4*n - 3. Let a be k(u). Factor 0*x - 2*x + 4*x - a*x**3.
-2*x*(x - 1)*(x + 1)
Suppose 4*s + 9 = 81. Let k = s + -13. Suppose -2*o**2 + 1/2*o + 9/2*o**k + 0 + 6*o**4 - o**3 = 0. Calculate o.
-1, 0, 1/3
Let m = 1 - -1. Let r(w) be the first derivative of 2*w - 2*w**m - 1 + w**4 - 2/3*w**3. Factor r(h).
2*(h - 1)*(h + 1)*(2*h - 1)
Let q = 90 + -87. Let g(o) be the first derivative of -2*o**2 - 2/3*o**q + 0*o + 2. Factor g(c).
-2*c*(c + 2)
Let c(v) = 11*v**2 + 9*v - 2. Let d(y) = y**2 + 16*y + 20. Let f be d(-14). Let k(m) = -4*m**2 - 3*m + 1. Let x(b) = f*k(b) - 3*c(b). Factor x(p).
-(p + 1)*(p + 2)
Let g = 31 + -27. Let f(i) be the second derivative of -1/15*i**3 + 0 + 0*i**2 - 1/105*i**7 + 1/25*i**5 + 0*i**g + 0*i**6 + 2*i. Determine u so that f(u) = 0.
-1, 0, 1
Let i(p) = -p**2 - p. Let s(k) be the second derivative of -k**5/10 + k**4/2 + k**3/2 - k**2/2 - k. Let d(g) = 3*i(g) + s(g). Factor d(u).
-(u - 1)**2*(2*u + 1)
Factor -3/2*j**2 - 1/2*j**4 + 1/2*j + 0 + 3/2*j**3.
-j*(j - 1)**3/2
Let d be (0 + 1)*-1 - -1. Let x be -3 + 1 + d + 5. Factor -p**x - 3*p**2 - p**2 + 3*p - 7*p.
-p*(p + 2)**2
Find l such that 2/11*l**4 + 4/11 + 2/11*l - 2/11*l**3 - 6/11*l**2 = 0.
-1, 1, 2
Suppose 7 = 3*h + 1. Suppose -h*z + o + 5 = -z, 3*z + 4*o - 1 = 0. Find n such that 4*n**3 + 2*n + 0*n - 3*n**3 - 3*n**z = 0.
-1, 0, 1
Let b = 11573/519 + 6/173. Let w = b + -21. Factor -10/3*z**3 + 2*z**4 + 0*z + w*z**2 + 0.
2*z**2*(z - 1)*(3*z - 2)/3
Let j(x) be the third derivative of 0*x + 0 - 2/3*x**3 - x**2 + 7/30*x**5 + 5/12*x**4. Suppose j(s) = 0. What is s?
-1, 2/7
Let c(l) be the third derivative of l**9/75600 - l**8/20160 - l**7/3600 + l**6/1800 + l**5/15 - l**2. Let v(i) be the third derivative of c(i). Factor v(u).
(u - 2)*(u + 1)*(4*u - 1)/5
Let k(f) = f**2 - 3*f - 6. Let w be k(5). Find o such that -8/3*o**5 - 2/3*o - 2*o**2 + 0 + 10/3*o**3 + 2*o**w = 0.
-1, -1/4, 0, 1
Let r(m) be the first derivative of 0*m + 0*m**3 + 0*m**4 - 2 + 2/25*m**5 + 0*m**2. Factor r(a).
2*a**4/5
Let z(j) be the second derivative of -j**6/120 - 3*j**5/40 - j**4/6 + j**3/4 + 9*j**2/8 - 45*j. Find y, given that z(y) = 0.
-3, -1, 1
Let u(n) be the second derivative of -n**4/12 + n**2/2 + 9*n. Suppose u(h) = 0. What is h?
-1, 1
Let k(s) = s**3 + 7*s**2 - 9*s - 6. Let g be k(-8). Suppose r**2 + r - 2*r**2 + 0*r**g + 0*r**2 = 0. What is r?
0, 1
Let 0 + 3/2*u - 1/2*u**3 + u**2 = 0. What is u?
-1, 0, 3
Let j(q) = -3*q - 10. Let u be j(-7). Let g = 14 - u. Let -1/3*x**5 + 0 + 0*x + 1/3*x**4 + 1/3*x**g - 1/3*x**2 = 0. What is x?
-1, 0, 1
Let p be (-2)/(-12) - (-969)/1530. Factor 4/5*h**3 - 4/5*h**4 + 16/5*h**2 - 2/5*h**5 + p + 14/5*h.
-2*(h - 2)*(h + 1)**4/5
Let s(f) = f**2 - 2*f. Let p(v) = -3*v**2 + 7*v. Let b be (-12)/2*(-21)/6. Let t(u) = b*s(u) + 6*p(u). Factor t(w).
3*w**2
Suppose n = -2 + 9. Let i(y) be the third derivative of 1/210*y**6 - 1/42*y**4 + y**2 - 1/21*y**3 + 0*y + 0*y**5 + 1/735*y**n + 0. What is v in i(v) = 0?
-1, 1
Let b(g) = g**2 - g - 6. Let s b