- y**2. Suppose q(j) = 0. Calculate j.
0, 1
Suppose 3*k + 4*f = -2*k - 5, -2*f = k + 7. Suppose 0*q**2 + 4/9 + 2/9*q**k - 2/3*q = 0. Calculate q.
-2, 1
Let r be (2/(-180))/(2/(-5)). Let x(b) be the second derivative of 0 - r*b**4 + 0*b**2 - 2*b + 1/18*b**3. Solve x(d) = 0.
0, 1
Let o = -13 + 19. Let x(p) be the second derivative of 0 + 1/6*p**3 - 1/20*p**5 + 0*p**2 + 1/30*p**o + 2*p - 1/12*p**4. Let x(j) = 0. What is j?
-1, 0, 1
Let i(u) = 2*u**4 + 4*u**3 - 8*u**2 - 16*u. Let j(d) = -6*d**4 - 12*d**3 + 24*d**2 + 48*d. Let w(h) = 10*i(h) + 3*j(h). Determine l so that w(l) = 0.
-2, 0, 2
Let g be (-4)/(-58) + 70/(-1015). What is r in r**4 - r**2 + g*r**3 + 0 - 1/2*r**5 + 1/2*r = 0?
-1, 0, 1
Let r(c) be the second derivative of 3*c**5/20 + c**4/8 - 3*c**2/2 + 7*c. Let o(t) be the first derivative of r(t). Determine f, given that o(f) = 0.
-1/3, 0
Factor 8*x**3 - 10*x + 9*x**3 - 5*x**4 + 5*x**2 - 7*x**3.
-5*x*(x - 2)*(x - 1)*(x + 1)
Let y(t) be the third derivative of 0 + 0*t + 0*t**3 + 1/210*t**5 + 1/1470*t**7 - t**2 + 0*t**4 + 1/280*t**6. Factor y(g).
g**2*(g + 1)*(g + 2)/7
Suppose 27 = -5*v - 48. Let q be 3 - (-1 - 54/v). Factor 2/5*z - q*z**3 + 2/5*z**2 + 0 - 2/5*z**4.
-2*z*(z - 1)*(z + 1)**2/5
Suppose 5*n + 9 = 8*n. Let t(x) be the second derivative of -2/27*x**n + 1/45*x**5 + 1/135*x**6 - 1/9*x**2 - 2*x + 0 + 0*x**4. Solve t(a) = 0 for a.
-1, 1
Suppose z = x, 0 = 4*x + 2*z - 3*z - 12. Suppose -i**4 + 5*i**x - 3*i**4 - 4*i**4 = 0. Calculate i.
0
Let q(t) be the first derivative of -2*t**5/5 + 3*t**4 - 6*t**3 + 5. Factor q(z).
-2*z**2*(z - 3)**2
Let w(j) = -j**2 - 1. Let h(r) = 12*r**2 + 2*r + 18. Let o(g) = 2*h(g) + 28*w(g). Find y such that o(y) = 0.
-1, 2
Let v(u) = u**2 - u - 6. Let d be v(-2). Solve 0*x + 1/4*x**2 + d = 0 for x.
0
Let o be (-3)/((-54)/4) - (-46)/(-207). Determine w so that o*w**3 + 3*w**2 - 3/2*w**5 - 3*w**4 + 3/2*w + 0 = 0.
-1, 0, 1
Let w = -133 - 0. Let k = w - -671/5. Suppose 0*b**2 + 3/5*b**5 + 0 + 3/5*b**3 + 0*b + k*b**4 = 0. What is b?
-1, 0
Let b(i) be the second derivative of 0 - 1/126*i**7 + 1/15*i**5 - 1/6*i**3 - 1/18*i**4 + 0*i**6 + 2*i + 1/3*i**2. Suppose b(p) = 0. Calculate p.
-2, -1, 1
Let d(k) be the first derivative of -k**3 + 9*k**2/2 - 18. Factor d(t).
-3*t*(t - 3)
Let t(m) = -12*m**2 - 8*m + 4. Let p(v) = 6*v**2 + 4*v - 2. Suppose 5*x = 5*f + 5, -3*f + 17 = 4*x - 1. Let a(d) = f*t(d) + 5*p(d). Solve a(z) = 0.
-1, 1/3
Let j(o) = 2*o**3 + 7*o**2 - 10*o + 1. Let a(c) = -c**3 - 4*c**2 + 5*c. Let v(z) = -5*a(z) - 3*j(z). Factor v(f).
-(f - 1)**2*(f + 3)
Let c(n) be the second derivative of -1/40*n**5 + 0 + 0*n**2 + 0*n**3 + 1/48*n**4 + 3*n + 1/120*n**6. Find w such that c(w) = 0.
0, 1
Let w be (-6 + -4)*(-1)/2. Suppose -8 = y - w*y. Find i such that 0 - 2/3*i**4 + 0*i + 2/3*i**2 - y*i**3 + 2*i**5 = 0.
-1, 0, 1/3, 1
Let z be 0/(14/(-35) + 6/(-10)). Let i(l) be the first derivative of 1/16*l**4 + 2 + 1/2*l + z*l**3 - 3/8*l**2. Let i(f) = 0. Calculate f.
-2, 1
Suppose 11*h - 76 = 7*h. Let a = -37/2 + h. Factor 0*d**2 + 3/4*d - 1/4*d**3 + a.
-(d - 2)*(d + 1)**2/4
Let i be 1*-2 - (-1044)/435. Suppose -c = 2*f - 5, 5*f - 5*c = -0*c + 35. Factor 14/5*u**f - 4/5 + 38/5*u**3 + 6*u**2 + i*u.
2*(u + 1)**3*(7*u - 2)/5
Let x(l) be the third derivative of l**6/180 - l**5/90 + 11*l**2. Factor x(w).
2*w**2*(w - 1)/3
Let u(p) = 5*p. Let s be u(1). Suppose -s*f = -5*j - 25, -3*j - 2*f = -6*f + 20. Find b such that 0 + j*b + 2/5*b**2 + 2/5*b**3 = 0.
-1, 0
Let q(l) = -4*l - 5 - 10*l**2 - 13*l**2 + 27*l. Let c(y) be the first derivative of 4*y**3/3 - 2*y**2 + y + 2. Let a(m) = 34*c(m) + 6*q(m). Factor a(w).
-2*(w - 2)*(w + 1)
Let 32*t**4 - t**5 - 5*t**3 - 8*t**2 - 3*t**5 + 32 - 112*t - 95*t**3 + 160*t**2 = 0. Calculate t.
1, 2
Let s(g) be the second derivative of -g**5/60 - g**4/18 + 5*g**3/18 + g**2 - 33*g. Solve s(h) = 0.
-3, -1, 2
Let r = 5 - 3. Let d be (r/12)/(6/12). Factor 0 - 2/3*x**2 + 1/3*x + d*x**3.
x*(x - 1)**2/3
Let k(f) be the first derivative of f**4/20 - 3*f**2/10 - 2*f/5 - 1. Let k(n) = 0. Calculate n.
-1, 2
Let q(n) be the first derivative of -1 - 1/3*n**3 - 1/24*n**4 + 1/120*n**6 + 0*n + 1/30*n**5 - n**2. Let c(r) be the second derivative of q(r). Factor c(a).
(a - 1)*(a + 1)*(a + 2)
Let o = -5 - -16/3. Suppose -o*j**2 + 0*j + 0 = 0. Calculate j.
0
Let u(z) be the first derivative of -1/6*z**2 + 1/15*z**5 + 0*z - 1/9*z**3 + 1/12*z**4 + 2. Factor u(j).
j*(j - 1)*(j + 1)**2/3
Let g be 7/((-28)/8) + -1032. Let v = 3136/3 + g. Suppose 4/3 + 50/3*c**3 - 38/3*c**2 - 40/3*c**5 + v*c**4 - 10/3*c = 0. What is c?
-1, -2/5, 1/4, 1
Suppose 2*q - 7 = 3*q. Let j(y) = y**2 + 8*y + 10. Let c be j(q). Solve 12/7*s - 12/7*s**c + 2/7 - 18/7*s**4 + 16/7*s**2 = 0 for s.
-1, -1/3, 1
Let l(s) = -2*s - 5. Let t be l(-6). Factor -8*a**2 + 0 + 0 + t*a**2 - a.
-a*(a + 1)
Let d(y) be the third derivative of -1/30*y**5 - 3/80*y**6 + 0 + 0*y**3 + 0*y - 1/96*y**4 + 0*y**7 + 9/448*y**8 - 4*y**2. Factor d(h).
h*(h - 1)*(3*h + 1)**3/4
Let l = 18 - 7. Let i(r) = 4 - 14*r + r**2 + l*r - 2. Let k(y) = y**2 - 3*y + 2. Let b(g) = -4*i(g) + 3*k(g). Find w, given that b(w) = 0.
1, 2
Let p(k) = 2*k**2 - 3*k - 2. Let f be p(-1). Determine d, given that -7*d**2 + 8*d**2 + 14*d - 4 + 10*d**f - 2*d**4 - 10*d**2 - 9*d**2 = 0.
1, 2
Let n(t) be the third derivative of 0*t + 2*t**2 + 0 - 1/150*t**5 + 1/60*t**4 + 0*t**3. Factor n(u).
-2*u*(u - 1)/5
Let m be 2/(-1) - 175/(-5). Factor -4 + 21*z**4 - m*z**3 - 7*z**3 + 33*z**2 - 10*z**3 + 0*z**3.
(z - 1)**2*(3*z - 2)*(7*z + 2)
Suppose p - 3*w = -4*p + 20, 4*p = w + 16. Determine h so that 55*h**3 + 13*h**3 - p - 19*h**2 - 27*h**4 + 6 - 7*h - 17*h**3 = 0.
-1/3, 2/9, 1
Let d(k) be the second derivative of -k**7/3360 + k**5/480 + k**3 - k. Let o(s) be the second derivative of d(s). Factor o(a).
-a*(a - 1)*(a + 1)/4
Let l = -137 + 142. Factor 0 - 1/2*z**l + 0*z + 1/2*z**2 - 3/2*z**3 + 3/2*z**4.
-z**2*(z - 1)**3/2
Let w(h) = -4*h + 31. Let i be w(7). Let 0 + 2/9*m - 2/9*m**4 + 2/9*m**2 - 2/9*m**i = 0. Calculate m.
-1, 0, 1
Let t(o) = -o**2 - 2*o + 2. Let i(q) = q - 1. Let s(u) = -6*i(u) - t(u). Let s(f) = 0. Calculate f.
2
Suppose 2*a + a - 6 = 0. Suppose 2 + 2*r**4 + 0*r**4 - 5*r**2 + 2*r**5 + 2*r + 0*r - 4*r**3 + r**a = 0. What is r?
-1, 1
Let q(m) = -3*m - 7. Let b be q(-3). Let w(u) be the first derivative of -b - 2*u - 2/3*u**3 + 2*u**2. Solve w(v) = 0 for v.
1
Factor 0 - 2/3*m**2 + 2/3*m.
-2*m*(m - 1)/3
Let v(z) = -23*z**3 + 20*z**2 - 8*z - 2. Let c(p) = 45*p**3 - 40*p**2 + 18*p + 5. Let r(s) = 2*c(s) + 5*v(s). Solve r(f) = 0 for f.
0, 2/5
Let t(w) be the first derivative of 5*w**9/3024 + w**8/560 - w**7/420 - 2*w**3/3 - 1. Let l(s) be the third derivative of t(s). What is f in l(f) = 0?
-1, 0, 2/5
Let j(y) be the third derivative of 0 + 3/140*y**6 - 1/42*y**4 - 1/168*y**8 - 1/42*y**5 + 0*y**3 + 1/147*y**7 + 0*y - 3*y**2. Determine k, given that j(k) = 0.
-1, -2/7, 0, 1
Suppose -6 = -4*o - 4*c - 2, 0 = -3*o - 5*c + 3. Let n be (0/(-1) + o)/1. Suppose 1 + 5*y**2 - 4*y**2 - n = 0. What is y?
0
Suppose 0*w + 2*w = 4, 5*n + 4*w - 18 = 0. Suppose 2*j + 15 = v, 2*j + 5 = 2*v + 3*j. Factor -8*h - 4 - 2*h - 4*h + 19*h**3 + 10*h**4 - 6*h**n - v*h**3.
2*(h - 1)*(h + 1)**2*(5*h + 2)
Let l be ((-4)/8)/((-3)/(-42)). Let p = l + 9. Suppose p*m**2 - m**3 - m - 2 + 2 = 0. What is m?
0, 1
Let h(f) be the first derivative of -2 - 5/4*f**2 + 1/2*f**3 - f. Find k, given that h(k) = 0.
-1/3, 2
Let g(v) = v**2 + v - 1. Let n(y) = -4*y**2 - 15*y + 1. Let l(a) = -3*g(a) - n(a). Let z be l(-12). Factor -4/11*h + 2/11*h**z + 2/11.
2*(h - 1)**2/11
Let f(q) = -q**3 + q**2 + 3. Let v be f(0). Suppose -v*o + 24 = o. Let 2*k**2 - k + 5 - o - k**2 + k**3 = 0. What is k?
-1, 1
Let i(q) be the second derivative of -q**5/30 + q**4/4 - 2*q**3/3 - 3*q**2/2 + 3*q. Let d(y) be the first derivative of i(y). Solve d(w) = 0.
1, 2
Let f(v) be the third derivative of -7*v**6/60 - 16*v**5/15 - 29*v**4/21 - 16*v**3/21 - 6*v**2. Determine c so that f(c) = 0.
-4, -2/7
Let h be ((-2)/(-8))/(10/20). What is n in -h*n + 1/4*n**2 + 1/4 = 0?
1
Let p be (-2)/(-9) - 25/(-9). Suppose -2*g**3 - 2*g**4 + 4*g**p + 0*g**4 + 2*g**2 - 2*g = 0. Calculate g.
-1, 0, 1
Suppose -3*l - 4*m + 3 = 2*l, -4*l - 2*m + 6 = 0. Find v such that 0 - 1/2*v**l + 1/2*v - 1/2*v**4 + 1/2*v*