*d - 1. Let t(x) = l*f(x) - 2*b(x). Suppose t(z) = 0. What is z?
-1/2, 1
Let n(v) be the first derivative of -3*v**5/10 - 9*v**4/4 - 6*v**3 - 6*v**2 - 1. Factor n(z).
-3*z*(z + 2)**3/2
Suppose -1/6*v - 1/3 + 1/6*v**3 + 1/3*v**2 = 0. Calculate v.
-2, -1, 1
Let s(b) be the third derivative of -21/20*b**6 + 0*b - 3/2*b**4 + 0 + 109/60*b**5 + 7/30*b**7 + 8*b**2 + 2/3*b**3. Find t, given that s(t) = 0.
2/7, 1
Let d(t) be the second derivative of -t**6/120 - t**5/20 - t**4/12 - 8*t. Find y, given that d(y) = 0.
-2, 0
Let d(u) = -u**2 + 6*u + 74. Let x be d(12). Solve 4/3*y**3 + 1/3*y - 5/3*y**x + 0 = 0 for y.
0, 1/4, 1
Let v(k) be the first derivative of 0*k + 5 - 3/20*k**5 + 0*k**2 - 1/2*k**3 - 9/16*k**4. Factor v(l).
-3*l**2*(l + 1)*(l + 2)/4
Let y(d) = -21*d**2 - 15*d + 1. Let r(z) = 10*z**2 + 8*z. Let l(t) = t**3 - 4*t**2 - 3*t - 1. Let h be l(4). Let o(u) = h*r(u) - 6*y(u). Factor o(s).
-2*(s + 3)*(2*s + 1)
Let v be 2 + 2 + 0 - 2. Factor -u**5 - 15*u**3 - 2*u**5 - 2*u + 11*u**4 + 10*u**v - u**2.
-u*(u - 1)**3*(3*u - 2)
Solve 0 + 0*f + 2*f**2 + 2/5*f**3 = 0 for f.
-5, 0
Let a(m) be the third derivative of -2/3*m**4 - 3/35*m**7 + 2/3*m**5 + 0*m**3 - 3*m**2 + 0 + 0*m - 1/10*m**6. Solve a(q) = 0.
-2, 0, 2/3
Let a be 6/(-14) - 216/(-63). Let y(s) be the first derivative of 9/4*s**2 + 3/8*s**4 + 1 + 3/2*s**a + 3/2*s. Let y(n) = 0. Calculate n.
-1
Let b be (-7)/(-175)*(-10)/(-12). Let o(x) be the third derivative of x**2 + 1/105*x**7 + 0*x**4 + 0*x**5 + 0*x + 0*x**3 + 0 + b*x**6. Factor o(g).
2*g**3*(g + 2)
Let k = 186 - 184. Factor -1/4*v**k - 1/4*v + 0.
-v*(v + 1)/4
Let -3268/5*l**3 - 356*l - 64/5*l**5 - 40 - 160*l**4 - 4688/5*l**2 = 0. What is l?
-5, -2, -1/4
Factor 0*d**2 - 4*d**3 - 24*d**2 - 6*d - 30*d.
-4*d*(d + 3)**2
Let m(g) = g**3 - 7*g**2 + 2. Suppose 5 = -6*s + 47. Let w be m(s). Find p such that -3/5*p**w + 0 - 1/5*p**3 - 2/5*p = 0.
-2, -1, 0
Factor -8*f**2 + 9*f**2 - 12 - 8*f + 3*f**2.
4*(f - 3)*(f + 1)
Let d(v) = 5*v**2 + 10*v - 70. Let c(f) = f**2 - f - 1. Let i(o) = -6*c(o) + d(o). Factor i(r).
-(r - 8)**2
Suppose o + 6 = 4*k, -3*k + 2*o - 4 = -6. Suppose -k*p + p = 0. Let 4/7*f**2 - 2/7*f**3 + p - 2/7*f = 0. Calculate f.
0, 1
Find c such that -21/2*c - 3/2*c**2 - 9 = 0.
-6, -1
Solve -20*z**3 + 0 + 4*z + 16*z**5 + 0 + 27*z**2 + 12*z**4 - 39*z**2 = 0 for z.
-1, 0, 1/4, 1
Let h(v) = 14*v**4 + 35*v**3 + 25*v**2 + 13*v + 1. Let u(r) = r**4 + r**3 + r**2 - r. Let s(n) = -h(n) - 4*u(n). Let s(j) = 0. Calculate j.
-1, -1/2, -1/3
Let r(a) be the first derivative of 2*a**3/21 + 17. Factor r(n).
2*n**2/7
Let m(s) be the third derivative of -s**5/30 - s**4/3 - 4*s**3/3 - 4*s**2. Factor m(f).
-2*(f + 2)**2
Suppose 33 = 5*l + 13. Suppose 4/5 - 3/5*q**2 - 4/5*q**3 + 4/5*q - 1/5*q**l = 0. What is q?
-2, -1, 1
Let q = -136 - -138. Determine r, given that -1/4*r**4 + 0*r + 1/4*r**q + 0 + 0*r**3 = 0.
-1, 0, 1
Suppose 9 = c + 6. Let o = c + 0. Factor -4/5*f - 1/5*f**o + 0 + 4/5*f**2.
-f*(f - 2)**2/5
Let g(j) be the second derivative of j**5/120 - 5*j**4/72 + 2*j**3/9 - j**2/3 + j. Factor g(a).
(a - 2)**2*(a - 1)/6
Find t such that 10*t**4 - 9*t**4 + 0*t - t**3 - 4*t**4 - t**5 + 2*t + 3*t**2 = 0.
-2, -1, 0, 1
Let f(t) be the third derivative of -t**6/240 - t**5/80 + t**3/2 + 3*t**2. Let i(y) be the first derivative of f(y). Solve i(a) = 0 for a.
-1, 0
Let m + 2*m**3 + 12*m**2 + 9*m + 0 + 0 = 0. Calculate m.
-5, -1, 0
Let n(d) be the first derivative of -d**7/840 + d**5/120 - d**3/24 + d**2 - 2. Let t(i) be the second derivative of n(i). Factor t(v).
-(v - 1)**2*(v + 1)**2/4
Let u(t) be the second derivative of -t**6/75 + 2*t**5/25 - t**4/10 + 7*t. Find b, given that u(b) = 0.
0, 1, 3
Let p(v) = -v**2 + 4*v - 1. Let g be p(3). Factor 7 + 2*a**3 - 4*a - 2*a**g + 2*a - 2 - 3.
2*(a - 1)**2*(a + 1)
Let x(j) be the third derivative of 1/840*j**8 + 0 + 1/50*j**6 + 1/60*j**4 + 0*j - 2/75*j**5 + 0*j**3 - 2*j**2 - 4/525*j**7. Let x(y) = 0. Calculate y.
0, 1
Factor -1/4*u - 1/2*u**2 + 0.
-u*(2*u + 1)/4
Let c(y) = y**5 + y**2. Let b(s) = -5*s**5 - 11*s**4 - 11*s**3 - 3*s**2 + 2*s. Let n = -8 + 6. Let x(f) = n*c(f) - b(f). Factor x(j).
j*(j + 1)**2*(j + 2)*(3*j - 1)
Let l(z) be the first derivative of -z**5/10 + z**4/8 + z**3/3 - 5. What is y in l(y) = 0?
-1, 0, 2
Let r = -83/6 - -605/42. Let d be 3 - 3/(-3)*-1. Factor -r*i**3 - 2/7 - 2/7*i**4 + 2/7*i**5 + 2/7*i + 4/7*i**d.
2*(i - 1)**3*(i + 1)**2/7
Let t be 22/88 - (-379)/4. Let r = t - 377/4. Determine a so that r*a**2 - 1/4*a + 0 = 0.
0, 1/3
Let y(t) = 6*t**2 - 4*t - 14. Let x(k) = -k**2 + 2*k - 1. Let n(z) = 2*x(z) + y(z). Determine s so that n(s) = 0.
-2, 2
Let x(b) be the second derivative of b**6/96 - b**5/240 + b**2/2 + 2*b. Let i(d) be the first derivative of x(d). Determine k so that i(k) = 0.
0, 1/5
Let x be ((-12)/(-4))/3*5 - 3. Let w(g) be the second derivative of 1/80*g**5 + 0 + 0*g**4 + 0*g**2 + 0*g**3 - x*g. Let w(b) = 0. Calculate b.
0
Let g = 0 - -2. Let z(x) be the first derivative of 0*x + 1/3*x**3 + 0*x**2 + g. Factor z(q).
q**2
Let f = -161 - -161. Factor 1/3 - 1/3*b**4 + f*b**2 + 2/3*b - 2/3*b**3.
-(b - 1)*(b + 1)**3/3
Let f = 5 - 2. Suppose 4*q - 3 = f*q. Factor 2*i**4 + 4/3 + 10*i**2 + 6*i + 22/3*i**q.
2*(i + 1)**3*(3*i + 2)/3
Let j be 0 + 15 + 2 + -1. Let r(b) = -b**2 - 11*b - 14. Let d be r(-6). Factor -j + o + d + o - 2*o**3.
-2*o*(o - 1)*(o + 1)
Factor 4/3*i**2 - 4/3*i - 8/3.
4*(i - 2)*(i + 1)/3
Suppose 2/11*l**5 + 0*l + 2/11*l**2 + 6/11*l**3 + 0 + 6/11*l**4 = 0. What is l?
-1, 0
Suppose -c - 4*a + 4 = 0, -2*c = -4*c - 4*a + 20. Suppose -c = -2*m - 0*m - 4*f, -m - 4*f = -16. What is q in -1/4*q**3 - 1/4*q + 1/2*q**2 + m = 0?
0, 1
Let w(g) be the first derivative of -25*g**6/51 - 2*g**5/17 + 8*g**4/17 - 8*g**3/51 + 16. Suppose w(h) = 0. Calculate h.
-1, 0, 2/5
Let f(i) be the first derivative of 2/15*i**2 - 2/45*i**3 - 5 - 2/15*i. What is p in f(p) = 0?
1
Let l(t) be the third derivative of t**6/40 + 3*t**5/20 - t**4/8 - 3*t**3/2 + 5*t**2. Factor l(i).
3*(i - 1)*(i + 1)*(i + 3)
Let g be (-4)/(-6) + (-32)/(-6). Let d be (0 + 1)/(2/g). Factor -j**d + 0*j**3 + 3*j**3.
2*j**3
Let v(k) be the first derivative of -5*k**4/6 + k**3/3 + 2*k - 8. Let s(m) be the first derivative of v(m). Factor s(p).
-2*p*(5*p - 1)
Factor 4 + 5*q**3 + 12*q + 40*q**2 - 28*q**2 - q**3.
4*(q + 1)**3
Let g(h) be the first derivative of h**5/10 + 9*h**4/8 + 9*h**3/2 + 31*h**2/4 + 6*h - 52. Factor g(j).
(j + 1)**2*(j + 3)*(j + 4)/2
Let x(a) = a**3 - a - 1. Let b(p) = 172*p**3 - 252*p**2 - 146*p - 26. Let y(w) = -2*b(w) + 20*x(w). Factor y(g).
-4*(g - 2)*(9*g + 2)**2
Let g be ((-3)/6)/((-3)/18). Suppose 0*b + 2*q - 4 = 2*b, 14 = g*b + 2*q. Factor -2/5*v + 6/5*v**b + 8/5*v**3 + 0.
2*v*(v + 1)*(4*v - 1)/5
Factor 0*z + 2/5*z**5 + 2/5*z**3 + 0*z**2 + 4/5*z**4 + 0.
2*z**3*(z + 1)**2/5
Let l(s) be the third derivative of s**5/45 - s**4/9 + 2*s**3/9 + 18*s**2. Suppose l(t) = 0. Calculate t.
1
Suppose 0 = 2*h - 9 - 1. Suppose -d - l = -h*l - 2, 6 = 3*d - 5*l. What is q in 0*q + 2/9*q**d - 2/9 = 0?
-1, 1
Let k(h) = -32*h - 222. Let g be k(-7). Find t, given that 1 + 0*t - 1/4*t**g = 0.
-2, 2
Let b(x) = 7 - x**2 + 4 - 6*x + 16*x + 2*x**2. Let h be b(-9). Let 3 + 7*y**3 - y**3 + 0*y**h - 5*y**2 - 4*y**2 = 0. What is y?
-1/2, 1
Factor 25/2*m + 0 + 1/2*m**3 + 5*m**2.
m*(m + 5)**2/2
Let z(l) be the second derivative of -5*l**4/12 - 5*l**3/3 + 15*l**2/2 - 17*l. Let z(g) = 0. What is g?
-3, 1
Find i, given that -5*i**5 - 2*i**4 + 2*i**4 + 409*i**3 - 404*i**3 = 0.
-1, 0, 1
Factor 1/2 + 11/3*d**2 + 7/6*d**4 - 1/6*d**5 - 13/6*d - 3*d**3.
-(d - 3)*(d - 1)**4/6
Suppose 8 = -2*s + 16. Let h(z) be the third derivative of 2/9*z**3 - s*z**2 - 1/12*z**4 + 0*z + 0 + 1/90*z**5. Factor h(g).
2*(g - 2)*(g - 1)/3
Let r = 2 + 2. Let b be ((-12)/16)/((-3)/8). Factor r*i**2 + i**2 + 2*i**2 - 6*i**b.
i**2
Suppose -z**4 - 3*z**2 - 3*z**3 - z**2 + 7*z**3 = 0. Calculate z.
0, 2
Let p be (209/(-3))/(59/(-7)). Let i = 4/59 + p. Solve -1/3*q + 0 - i*q**3 + 10/3*q**2 = 0.
0, 1/5
Let x(w) = -18*w**2 + 9*w - 5. Let u(y) = 9 + 0 - 13*y + 27*y**2 - 2. Let d(g) = -5*u(g) - 7*x(g). Factor d(q).
-q*(9*q - 2)
Let b(r) = -3*r**2 + r - 2. Let c(u) = 2 - 2*u - 4 + 3 + u + u**2. Let i(f) = -b(f) - 2*c(f). Factor i(g).
g*(g + 1)
Let c(y) be the first derivative of y**8/756