t p(l) = l**2 + 5*l - 9. Let t = -20 + 13. Let y be p(t). Let y*n**3 + 2*n**2 - 2*n**4 - 3*n + n - 3*n**3 = 0. What is n?
-1, 0, 1
Let -1/4*k**2 + 0 - 1/4*k = 0. Calculate k.
-1, 0
Suppose -5*d = -2*d. Let u be (-6)/12*(-3 + -1). Let d - 1/2*y**u + 1/2*y = 0. What is y?
0, 1
Let q = -20 - -26. Let d(j) be the first derivative of 0*j**3 + 0*j**2 + 1 + 1/10*j**4 + 1/15*j**q + 0*j + 4/25*j**5. Let d(v) = 0. What is v?
-1, 0
Let s(j) be the second derivative of j**6/90 - j**5/12 + 12*j. Factor s(f).
f**3*(f - 5)/3
Let h = 4/55 - 1/165. Let w(u) be the first derivative of -h*u**6 + 1/10*u**4 - 2/25*u**5 + 0*u + 2/15*u**3 + 0*u**2 + 3. Factor w(c).
-2*c**2*(c - 1)*(c + 1)**2/5
Let h(d) = 15*d**4 + 21*d**3 - 15*d**2 - 21*d. Let f(r) = -r**4 - r**3 + r**2 + r. Let q(c) = -18*f(c) - h(c). Factor q(m).
3*m*(m - 1)**2*(m + 1)
Let q(d) be the first derivative of d**3/9 - 3*d + 28. Factor q(u).
(u - 3)*(u + 3)/3
Let y(i) be the second derivative of -6*i + 1/35*i**5 - 5/42*i**4 + 4/21*i**3 + 0 - 1/7*i**2. Suppose y(z) = 0. What is z?
1/2, 1
Let c = 26 - 21. Let j(w) be the third derivative of 1/36*w**4 + 1/180*w**c - w**2 + 1/18*w**3 + 0*w + 0. Solve j(z) = 0.
-1
Solve -3*l**2 - 4*l**3 - 3*l + 0*l**2 + 6*l**3 + 3*l**4 + l**3 = 0 for l.
-1, 0, 1
Let n be -3 + (-3 - -5) + 10. Let g(v) = v**3 - 8*v**2 - 9*v + 3. Let z be g(n). Suppose 0 - 4/3*y**z - 2/3*y**5 + 0*y**2 + 0*y - 2*y**4 = 0. Calculate y.
-2, -1, 0
Let w(i) be the first derivative of 2*i**3/33 + 2*i**2/11 + 3. Factor w(g).
2*g*(g + 2)/11
Let v(p) = 7*p**5 - 5*p**4 - 4*p**3 - 5*p**2 - 3*p - 5. Let a(j) = 11*j**5 - 8*j**4 - 6*j**3 - 8*j**2 - 5*j - 8. Let r(m) = 5*a(m) - 8*v(m). Factor r(n).
-n*(n - 1)**2*(n + 1)**2
Let r = 7/30 - 1/10. Let g(h) be the third derivative of 1/300*h**5 + r*h**3 + 0*h - 1/30*h**4 + 0 + 3*h**2. Factor g(i).
(i - 2)**2/5
Let t(g) be the second derivative of -7*g**6/135 - g**5/18 + 5*g**4/9 + 20*g**3/27 - 8*g**2/9 + 25*g. What is r in t(r) = 0?
-2, -1, 2/7, 2
Let r(b) be the second derivative of -b**4/24 + b**3/12 + b**2/2 + 8*b. Find o such that r(o) = 0.
-1, 2
Let m(s) = s**4 + 3*s**4 + 3*s**2 - 6*s**5 - s**5 + 3*s + 3*s**5. Let w(j) = 3*j**5 - 3*j**4 - 2*j**2 - 2*j. Let l(g) = 2*m(g) + 3*w(g). Factor l(x).
x**4*(x - 1)
Let l(z) be the first derivative of z**6/2 - 9*z**5/5 - 3*z**4/4 + 7*z**3 - 12*z - 5. Find i, given that l(i) = 0.
-1, 1, 2
Let w be (-2)/8 - 19/(-12). Let 2/3*t**2 - w*t**3 + 0 + t**5 - 2/3*t**4 + 1/3*t = 0. What is t?
-1, -1/3, 0, 1
Determine y so that 8*y**2 - 16*y**2 + 4 - 12*y**3 + 4 + 12*y = 0.
-1, -2/3, 1
Let m(f) = -2*f - 14. Let x be m(-8). Suppose x*l = 4*l - 4. Factor 0*o**l + 0 + 2/5*o - 2/5*o**3.
-2*o*(o - 1)*(o + 1)/5
Let z(m) be the third derivative of m**6/120 - 13*m**5/60 + m**4/2 + m**3/3 + 3*m**2. Let p be z(12). Factor -2/5*c**p - 2/5 + 4/5*c.
-2*(c - 1)**2/5
Let v(j) be the second derivative of -25*j**4/12 - 10*j**3/3 - 2*j**2 - 4*j. Let v(t) = 0. What is t?
-2/5
Let b(c) = 10*c**3 + 19*c**2 - c - 1. Let a(t) = -5*t**3 - 9*t**2 + t + 1. Let s(j) = 9*a(j) + 4*b(j). Factor s(r).
-5*(r - 1)*(r + 1)**2
Let u(n) be the second derivative of -1/60*n**6 - 5*n - 5/24*n**4 + 0*n**2 - 1/10*n**5 + 0 - 1/6*n**3. Let u(f) = 0. Calculate f.
-2, -1, 0
Let k(i) be the second derivative of 1/3*i**4 + 0*i**2 + 3*i + 0 + 2*i**3. Suppose k(m) = 0. Calculate m.
-3, 0
Let c(a) be the first derivative of -2*a**6/3 + 16*a**5/5 - 5*a**4 + 8*a**3/3 + 34. Factor c(s).
-4*s**2*(s - 2)*(s - 1)**2
Let r(m) = -4*m**3 + 22*m**2 + 12*m + 4. Let l be r(6). Find f such that 5/4*f + 1/2 + 1/4*f**2 - 3/4*f**l - 5/4*f**3 = 0.
-1, -2/3, 1
Let u(h) = -h**3 + 4*h**2 - 3*h + 3. Let y be u(3). Find n, given that 4*n**3 + 10*n**3 - 6*n**4 - n**4 - 5*n**y - 2*n**2 = 0.
0, 2/7, 1
Let p(j) be the second derivative of j**2 - j - 1/3*j**4 + 0*j**5 + 0 + 0*j**3 + 1/15*j**6. Factor p(a).
2*(a - 1)**2*(a + 1)**2
Let o(i) be the second derivative of -5*i**4/12 + 5*i**3/6 + 5*i**2 - i. Factor o(b).
-5*(b - 2)*(b + 1)
Suppose -4*f - 15*u = -19*u, 0 = 3*f - 2*u - 2. Let 0*j**f + 4/7*j**3 + 0 - 4/7*j = 0. Calculate j.
-1, 0, 1
Factor -958*h + 3 + 991*h + 42*h**2 + 3.
3*(2*h + 1)*(7*h + 2)
Let n = -211/3 - -71. Let h be ((-4)/(-16))/(2/16). What is d in -1/3*d**h - 1/3 + n*d = 0?
1
Let m(l) be the third derivative of -l**5/20 + l**4/36 + 18*l**2. Let m(o) = 0. What is o?
0, 2/9
Factor -12*y**2 - 6*y + 0*y**2 + 12*y**4 + 2*y + 4*y**3.
4*y*(y - 1)*(y + 1)*(3*y + 1)
Let g = -51/2 - -27. Factor -1/2*t**2 + g*t - 1.
-(t - 2)*(t - 1)/2
Let m(q) be the third derivative of 0*q**4 - 1/1008*q**8 + 1/360*q**6 - 1/180*q**5 + 0*q + 0 + 1/630*q**7 + 5*q**2 + 0*q**3. Let m(x) = 0. What is x?
-1, 0, 1
Let j(p) be the third derivative of -p**5/90 + p**4/18 + p**3/3 + 6*p**2. Factor j(i).
-2*(i - 3)*(i + 1)/3
Let g(s) be the first derivative of -s**5/20 + 7*s**4/16 - 3*s**3/2 + 5*s**2/2 - 2*s - 8. Let g(a) = 0. What is a?
1, 2
Let o(h) be the second derivative of h**6/15 + 3*h**5/10 - 4*h**3/3 + 11*h. Let o(d) = 0. Calculate d.
-2, 0, 1
Let o(a) be the second derivative of 3*a - 2/5*a**5 - 2*a**3 + 0 + a**2 + 3/2*a**4. What is f in o(f) = 0?
1/4, 1
Solve 5/3*p - 1/3 - 4/3*p**2 = 0.
1/4, 1
Let z(b) be the second derivative of -b**4/18 + 28*b**3/9 - 196*b**2/3 + 3*b - 2. Determine a so that z(a) = 0.
14
Suppose b - 85 = -3*g + 2*b, 4*g - 116 = 2*b. Let c = -185/7 + g. Suppose c + 6/7*d + 2/7*d**2 = 0. Calculate d.
-2, -1
Let u(o) be the first derivative of -5*o**4/4 - 25*o**3/3 - 10*o**2 + 22. Factor u(t).
-5*t*(t + 1)*(t + 4)
Let r(n) = -n**3 + 10*n**2 + 12*n + 5. Let h be r(11). Factor 0*z**3 + 3*z**3 - 20*z**2 + 32*z - z**3 + 2*z**3 - h.
4*(z - 2)**2*(z - 1)
Let m be 4/(-46) + 1846/598. Let -2/9*k**2 - 2/9*k**m + 2/9*k + 2/9 = 0. Calculate k.
-1, 1
Let d(x) be the second derivative of -x**4/72 + x**2/12 - 4*x. Find a such that d(a) = 0.
-1, 1
Let b be 130/35 - 2/(-7). Let s = 10 - 7. Solve -4*v**2 - s*v + 5*v - v**5 + 4*v**b - v**5 = 0 for v.
-1, 0, 1
Let l(t) be the second derivative of -2/7*t**7 - 339/80*t**5 + 19/4*t**4 + 3/4*t**2 - 21/8*t**3 + 0 + 6*t + 9/5*t**6. What is d in l(d) = 0?
1/4, 1, 2
Suppose 7 = 5*s + 2. Suppose -5*w + s = -9. Factor w*x**2 - 2*x**4 - 2*x**3 + 2*x - 3*x**3 + 3*x**3.
-2*x*(x - 1)*(x + 1)**2
Let d(i) be the third derivative of i**7/315 + i**6/120 + i**5/180 - 32*i**2. Factor d(g).
g**2*(g + 1)*(2*g + 1)/3
Let c(t) be the second derivative of t**6/15 - t**5/5 - t**4/6 + 2*t**3/3 + 5*t. Solve c(u) = 0 for u.
-1, 0, 1, 2
Let b(j) = j**3 + 4*j**2 + 3*j + 3. Let g be 1/((-14)/6 - -2). Let q be b(g). Factor 4*a**2 - 6*a + 0 - q + 5.
2*(a - 1)*(2*a - 1)
Factor 0 + 1/8*o**3 + 0*o - 1/8*o**2.
o**2*(o - 1)/8
Let h(k) be the second derivative of k**4/6 - 53*k. Factor h(g).
2*g**2
Let w(b) be the second derivative of 2*b**6/15 - b**5/5 - 2*b**4/3 + 6*b. Suppose w(v) = 0. Calculate v.
-1, 0, 2
Let l(g) be the second derivative of -3*g**7/49 + 11*g**6/105 + g**5/10 - 11*g**4/42 + 2*g**3/21 - 10*g. What is b in l(b) = 0?
-1, 0, 2/9, 1
Find q, given that -828*q + 828*q - 5*q**3 = 0.
0
Let a be -2*(-3)/4*(-8)/(-48). Let w be 2/(-4)*(-6)/4. Let -a*f**2 + 0*f - w*f**3 + 0 - 3/4*f**4 - 1/4*f**5 = 0. What is f?
-1, 0
Let v(s) be the third derivative of -s**9/5040 + 3*s**8/2240 - s**7/420 - s**4/24 + 4*s**2. Let t(j) be the second derivative of v(j). Factor t(o).
-3*o**2*(o - 2)*(o - 1)
Let g(o) be the second derivative of -o**7/4200 - o**6/1800 + o**5/300 - o**3/6 - 7*o. Let j(u) be the second derivative of g(u). Factor j(p).
-p*(p - 1)*(p + 2)/5
Suppose 2 = x - 0. Let z(i) be the second derivative of 1/150*i**6 - i + 0 + 0*i**3 + 0*i**5 + 0*i**x + 0*i**4. Determine g, given that z(g) = 0.
0
Let l(x) be the third derivative of -x**5/150 - x**4/60 + 2*x**3/5 + 21*x**2. Solve l(f) = 0 for f.
-3, 2
Let o(l) be the second derivative of -l**6/240 - l**5/20 - 3*l**4/16 - 2*l**3/3 - 5*l. Let w(z) be the second derivative of o(z). Factor w(b).
-3*(b + 1)*(b + 3)/2
Let c(u) = -14*u**2 + 3*u. Let x = 8 + -5. Suppose 0 = -x*r - 36 + 3. Let f(i) = -5*i**2 + i. Let y(b) = r*f(b) + 4*c(b). Solve y(k) = 0 for k.
0, 1
Let n be (-130)/504 + 12/42. Let p(c) be the third derivative of -1/180*c**5 - 2*c**2 - 1/126*c**7 + 0 + 0*c + 1/45*c**6 + 0*c**3 - n*c**4. Factor p(a).
-a*(a - 1)**2*(5*a + 2)/3
Factor -2*y**2 + 6*