et b(q) = s*a(q) + 4*t(q). Find c, given that b(c) = 0.
0, 1
Let p(d) be the first derivative of -d**4/2 + 4*d**3/3 + 12. Factor p(a).
-2*a**2*(a - 2)
Let r(g) = -g**5 - g**4 + g**2 - g + 1. Let d(c) = 4*c**5 + 4*c**4 + 2*c**3 - 3*c**2 + 4*c - 6. Let x(n) = 2*d(n) + 10*r(n). Factor x(i).
-2*(i - 1)**2*(i + 1)**3
Suppose 12*k = 7*k. What is l in 2/3*l + 2/3*l**2 + k = 0?
-1, 0
Let u(j) = 3*j**2 - 30*j + 38. Let h(l) = -8*l**2 + 90*l - 113. Let y(o) = 2*h(o) + 7*u(o). Solve y(d) = 0 for d.
2, 4
Let p(q) be the first derivative of -q**4/8 + q**2/4 + 5. Suppose p(y) = 0. What is y?
-1, 0, 1
Let s(i) be the first derivative of -4/5*i**5 + 0*i**2 + 0*i - 1/2*i**4 + i**6 + 2 + 0*i**3. Find c, given that s(c) = 0.
-1/3, 0, 1
Suppose -2/7*w**4 + 0*w**3 + 0*w + 0*w**2 + 2/7*w**5 + 0 = 0. What is w?
0, 1
Let b(p) be the second derivative of -4*p + 19/4*p**5 + 0 - 5/6*p**6 + 26/3*p**3 - 4*p**2 - 19/2*p**4. Factor b(v).
-(v - 2)*(v - 1)*(5*v - 2)**2
Suppose -84 = -27*f + 24. Find p such that 0*p + 2/13*p**2 - 4/13*p**3 + 2/13*p**f + 0 = 0.
0, 1
Let b(k) = 3*k**2 + 4*k - 2. Let u(r) = r**2 + r - 1. Let d(g) = b(g) - 2*u(g). Suppose d(t) = 0. What is t?
-2, 0
Let i be (-4)/22 + 48/22. Suppose i*b + 2 = -b + 4*m, -m + 8 = 3*b. Solve 2/7*k**b + 2/7*k**3 - 2/7*k - 2/7 = 0 for k.
-1, 1
Let k(m) be the third derivative of 0*m**3 + 1/30*m**6 - 3*m**2 + 0*m + 0*m**4 + 0 + 1/30*m**5 + 1/105*m**7. Suppose k(c) = 0. What is c?
-1, 0
Suppose -5*j + j + 32 = 0. Let f be 2/(-45)*(3 - j). Find a such that f*a - 4/9 + 2/9*a**2 = 0.
-2, 1
Solve 52/3*b**3 + 14/3*b**4 + 8/3*b + 18*b**2 - 8/3 = 0 for b.
-2, -1, 2/7
Factor 0*o**2 + 2/11*o**4 + 4/11*o - 4/11*o**3 - 2/11.
2*(o - 1)**3*(o + 1)/11
Let s(z) = -z**2 - 3*z + 2. Let c be s(-3). Let n be c/56 - (-3)/12. Determine p, given that 0 + 0*p**2 + 2/7*p**3 - n*p = 0.
-1, 0, 1
Let f(y) be the first derivative of y**9/1512 - y**8/280 + y**7/140 - y**6/180 - y**3/3 + 1. Let u(z) be the third derivative of f(z). Factor u(h).
2*h**2*(h - 1)**3
Find r, given that -24/5*r**3 + 0*r + 0*r**2 + 0 + 18*r**4 - 21/5*r**5 = 0.
0, 2/7, 4
Let p(x) be the first derivative of -x**4/14 - 12*x**3/7 - 108*x**2/7 - 432*x/7 - 41. Factor p(j).
-2*(j + 6)**3/7
Let p(s) be the first derivative of -5*s**4/16 + 5*s**3/4 - 5*s**2/4 + 7. Let p(b) = 0. What is b?
0, 1, 2
Let s be (-332)/(-12) + (-1)/(-3). Suppose -4*q + 3*i + s = 0, 6*q - q - 5*i = 40. Suppose -2*h**q + 23*h - 29*h - 34*h - 36*h**2 - 16 - 14*h**3 = 0. What is h?
-2, -1
Determine a so that -20*a**5 - 2*a**3 - 13*a**3 + 24*a + 6*a**5 + 42*a**4 - 42*a**2 + 5*a**5 = 0.
-1, 0, 2/3, 1, 4
Let g(l) be the second derivative of -l**8/840 - l**7/210 - l**6/180 - l**3/3 + l. Let a(m) be the second derivative of g(m). Factor a(i).
-2*i**2*(i + 1)**2
Let z(u) be the third derivative of -u**10/151200 - u**9/12096 - u**8/2520 - u**7/1260 - u**5/30 - u**2. Let k(x) be the third derivative of z(x). Factor k(c).
-c*(c + 1)*(c + 2)**2
Let a = 78 - 53. Let i = a - 25. Factor 1/4*t + i + 1/4*t**2.
t*(t + 1)/4
Suppose 16 + 0 = 2*t. Determine h so that -89 - t*h + 89 + 4*h**2 = 0.
0, 2
Let l(y) be the third derivative of -y**6/220 - y**5/22 - 2*y**4/11 - 4*y**3/11 + 25*y**2. Determine f so that l(f) = 0.
-2, -1
Let p be (3/48)/(165/22). Let j(r) be the second derivative of p*r**6 + 0*r**3 + 4*r + 1/48*r**4 + 0 - 1/40*r**5 + 0*r**2. Find q, given that j(q) = 0.
0, 1
Suppose 5*j + 0 - 30 = 0. Suppose -5*b + j = -4. Factor -1 - 1/2*h**b + 3/2*h.
-(h - 2)*(h - 1)/2
Let o(b) be the third derivative of b**6/720 + b**5/120 - b**3/9 + 10*b**2. Determine w, given that o(w) = 0.
-2, 1
Factor 6*j + 2*j**3 - 7*j**3 - 20*j**2 - 26*j.
-5*j*(j + 2)**2
Let l(s) = -s**5 + s**3 - s + 1. Let p(i) = -i**5 - 2*i**4 - 3*i**3 + 10*i**2 - 7*i + 3. Suppose -g - 10 = -13. Let v(f) = g*l(f) - p(f). Factor v(n).
-2*n*(n - 1)**3*(n + 2)
Let s be (-15)/(-10) - 2/(-4). Factor -2*f**4 - 6*f**3 + 51 - 6*f**s - 2*f - 51.
-2*f*(f + 1)**3
Suppose y = 2 - 0. Factor -w**2 + 4*w**y + 0*w - 5*w**2 + 2*w + 4.
-2*(w - 2)*(w + 1)
Let a(g) = -g**2 - 4*g + 5. Let d be a(-5). Let y = -17 + 19. Suppose 2/7*h**4 + d*h**y - 2/7 - 4/7*h**3 + 4/7*h = 0. Calculate h.
-1, 1
Let t be (-4*(-8)/(-864))/(2/(-12)). Let q = 1/376 - -743/3384. Factor -t*u**2 + 4/9 + q*u.
-2*(u - 2)*(u + 1)/9
Let f(q) = q**4 + q**2. Let w(t) = -4*t**4 + 8*t**3 + 2*t**2 - 24*t - 18. Let j(a) = 2*f(a) + w(a). Suppose j(o) = 0. What is o?
-1, 3
Let v be (46/2)/(-1 + 2). Suppose 5*h - v = 17. Suppose 34*j**2 + 5*j + 10*j + h + 17*j - 14*j**3 - 18*j**5 - 42*j**4 = 0. Calculate j.
-1, -2/3, 1
Let s(w) be the third derivative of w**7/210 + w**6/24 + 2*w**5/15 + w**4/6 + 6*w**2. Solve s(f) = 0.
-2, -1, 0
Let b(x) = x**5 + 2 - x + 1 - 4 - 2*x**4. Let u(n) = -n - 1. Let z(h) = -b(h) + u(h). Factor z(p).
-p**4*(p - 2)
Suppose 0 = -6*o + 54 - 30. Let l(w) be the first derivative of 0*w - 3 - 3/2*w**2 + 9/2*w**3 + 3/2*w**5 - 9/2*w**o. Suppose l(k) = 0. Calculate k.
0, 2/5, 1
Let g(p) = p**3 + 6*p**2 - 7*p + 4. Let u be 18/117 - (-186)/(-26). Let b be g(u). Factor 0*w + 3/5*w**b + 3/5*w**2 - 6/5*w**3 + 0.
3*w**2*(w - 1)**2/5
Suppose 0 = -3*j + 18. Suppose 0 = j*q - q. Factor -1/2*m - 1/2*m**5 + m**3 + 0*m**4 + q*m**2 + 0.
-m*(m - 1)**2*(m + 1)**2/2
Let y be ((-5)/10)/((-1)/10). Suppose y*t - 29 + 9 = 0. Let -2/9*d + 2/9*d**3 + 2/9*d**t - 2/9*d**2 + 0 = 0. What is d?
-1, 0, 1
Let w(p) be the third derivative of -11*p**8/1512 - 2*p**7/945 + 11*p**6/180 + 14*p**5/135 + p**4/27 + 47*p**2. Find s such that w(s) = 0.
-1, -2/11, 0, 2
Let j(a) = -27*a**4 - 120*a**3 - 153*a**2 - 81*a - 3. Let z(o) = -7*o**4 - 30*o**3 - 38*o**2 - 20*o - 1. Let b(h) = 2*j(h) - 9*z(h). What is u in b(u) = 0?
-1, -1/3
Solve -21*r**3 + 28*r + 10 - 8*r**2 - 6*r**5 - 48*r**2 - 2*r**5 + r**3 + 46*r**4 = 0.
-1, -1/4, 1, 5
Let j(o) be the third derivative of 5*o**8/336 - o**6/8 + o**5/6 - 7*o**2. Let j(c) = 0. What is c?
-2, 0, 1
Suppose 23*b - 20*b = 0. Let p(n) be the third derivative of b + 0*n + 5/12*n**4 - 2/3*n**3 - 2/15*n**5 + 2*n**2 + 1/60*n**6. Factor p(r).
2*(r - 2)*(r - 1)**2
Determine k, given that 12*k**2 - 9*k - 3*k - 3*k**4 + 1066 + 3*k**3 - 1066 = 0.
-2, 0, 1, 2
Let k(n) be the first derivative of -n**4/12 - n**3/3 - n**2/2 - n/3 + 3. Determine g, given that k(g) = 0.
-1
Let 0*x + 0 + 1/3*x**2 = 0. What is x?
0
Factor 8*o**2 - 5*o**3 - 20*o + 6 + 28 - 18 + 4*o**3.
-(o - 4)*(o - 2)**2
Let d be 9/12*3*2/9. Determine k so that k - d*k**5 - 5/2*k**2 + 1/2*k**4 + 3/2*k**3 + 0 = 0.
-2, 0, 1
Let n(x) be the second derivative of x**7/56 - 3*x**6/20 + 3*x**5/80 + 3*x**4/2 + 2*x**3 + 47*x. Suppose n(h) = 0. What is h?
-1, 0, 4
Let u be -6 - (-5 - -1) - (-12)/3. Factor -5/3*x**u + 7/3*x - 1 + 1/3*x**3.
(x - 3)*(x - 1)**2/3
Let u(q) = 7*q + 9 - 2 + 2*q**2 - 2 + 0*q**2. Let t(l) = l**2 + 3*l + 2. Let x(c) = -5*t(c) + 2*u(c). Factor x(g).
-g*(g + 1)
Let v(w) = -32*w + 258. Let n be v(8). Suppose 1/2*q**n - 2 + 0*q = 0. What is q?
-2, 2
Let c(q) be the first derivative of 2*q**3/27 - 10*q**2/9 + 2*q + 10. Factor c(b).
2*(b - 9)*(b - 1)/9
Let q(c) be the second derivative of 1/6*c**3 + 1/6*c**4 + 4*c + 0 + 0*c**2 + 1/20*c**5. Solve q(z) = 0.
-1, 0
Let u(q) = -q - 4. Let y be u(-4). Let k be (-3)/27 + (-2)/(-6). Determine c, given that y + 0*c + k*c**2 = 0.
0
Let r(j) = j - 3. Let v be r(6). Find d such that 2*d + 3*d**3 + 4*d**3 - d + 2*d**2 - 6*d**v = 0.
-1, 0
Let v = -1/111 + 115/444. Let 1/4*k**2 + v*k + 0 = 0. Calculate k.
-1, 0
Let x(q) be the second derivative of q**6/20 - 3*q**5/10 + 3*q**4/8 + q**3 - 3*q**2 - 11*q. What is a in x(a) = 0?
-1, 1, 2
Let g(p) be the second derivative of -p**7/63 - p**6/45 + p**5/30 + p**4/18 + 4*p. Find r, given that g(r) = 0.
-1, 0, 1
Let h(w) be the second derivative of -1/84*w**4 - 4*w - 1/42*w**3 + 0 + 0*w**2. Factor h(a).
-a*(a + 1)/7
Let k(i) be the second derivative of i**4/8 + 3*i**3/4 + 3*i**2/2 + 9*i. Solve k(w) = 0 for w.
-2, -1
Let t = -3/149 + 325/1341. Determine h so that -2/9*h**2 + 0 - t*h = 0.
-1, 0
Let g(l) be the second derivative of 1/12*l**4 - 1/5*l**5 - 1/10*l**6 - 2*l + 1/3*l**3 + 0 + 0*l**2. Factor g(f).
-f*(f + 1)**2*(3*f - 2)
Let n(z) be the third derivative of z**5/15 - z**4/3 + 39*z**2. Factor n(y).
4*y*(y - 2)
Let -6/11*b - 2/11*b**3 - 8/11*b**2 + 0 = 0. Calculate b.
-3