e (18/15)/(3/10). Suppose -2*d + 5 = 1. Let j*g + 2*g**d - g - g = 0. What is g?
-1, 0
Determine j, given that -55*j**5 + 1/5 - 37/10*j + 257/10*j**2 - 817/10*j**3 + 229/2*j**4 = 0.
2/11, 1/5, 1/2, 1
Determine p so that -14*p + 48*p**2 + 54*p**2 - 118*p**2 - 2*p**3 = 0.
-7, -1, 0
Suppose -12 = -0*y - 3*y. Let d = y + -2. Solve -2*g**3 - d*g + 2*g + 4*g**2 - 2*g = 0.
0, 1
Let i(j) be the second derivative of -j**7/2520 - j**6/90 - 2*j**5/15 - 8*j**4/9 + j**3 + 2*j. Let c(n) be the second derivative of i(n). Factor c(p).
-(p + 4)**3/3
Let r(t) = 2*t**2 + 4*t + 6. Let l(j) = -1 - j**2 - 7*j - j + 7*j. Let g(i) = 4*l(i) + r(i). Let g(b) = 0. What is b?
-1, 1
Suppose -4*f + 3*n = -11, 9 = 3*f - 3*n + n. Suppose -f*a = -0*a. Factor -1 + a*p**3 + 8*p - 1 + 8*p**3 - 2*p**4 - 15*p**2 + 3*p**2.
-2*(p - 1)**4
Let p(y) be the third derivative of y**7/11340 - y**5/540 + y**4/8 + 7*y**2. Let u(m) be the second derivative of p(m). Suppose u(k) = 0. Calculate k.
-1, 1
Suppose -2*a = 3*z - 18, 0 = 4*a - 5*z + 2*z. What is o in a - 3*o**3 + 3*o + 7*o**2 - 10*o**2 + o - o = 0?
-1, 1
Let c(q) be the first derivative of 2*q**5/5 + q**4 + 2*q**3/3 + 1. Solve c(a) = 0 for a.
-1, 0
Let r(p) be the second derivative of p**7/735 + p**6/84 + 4*p**5/105 + p**4/21 - 7*p**2/2 - 4*p. Let l(j) be the first derivative of r(j). Solve l(x) = 0 for x.
-2, -1, 0
Let t(v) = -v + 7. Let b be t(5). Suppose 3*x = b*x. Solve x + 1/4*d**2 - 1/4*d**3 + 0*d = 0 for d.
0, 1
Let a = 5 + -3. Suppose -a*c**4 - 3*c**3 - 19*c**5 + 18*c**5 + 2*c**3 = 0. What is c?
-1, 0
Let y be (-1*6/1)/1. Let h be 4 - 1/((-3)/y). Find s, given that -4/9*s**h - 4/9*s**3 + 2/9 + 2/9*s**4 + 2/9*s**5 + 2/9*s = 0.
-1, 1
Let p(x) = 2*x**5 + 3 - 4*x**4 + 5 + 2 + 16*x + 4*x**2 - 12*x**3. Let f(n) = -n**4 - n**3 + n**2 + 1. Let b(v) = -2*f(v) + p(v). Factor b(l).
2*(l - 2)**2*(l + 1)**3
Let r = -347/3 - -116. Suppose 3*m + m = 0. Factor r*k - 1/3*k**2 + m.
-k*(k - 1)/3
Factor -2/11*w - 8/11*w**2 - 2/11*w**5 - 8/11*w**4 - 12/11*w**3 + 0.
-2*w*(w + 1)**4/11
Suppose 2*x - 4 = -2*t + 3*x, -3*t + 5 = -2*x. Let j = -4 + 8. Suppose -4/3*z + 4/3*z**t + 0*z**2 + 2/3*z**j - 2/3 = 0. Calculate z.
-1, 1
Let z(n) be the first derivative of 4*n**5/15 + 5*n**4/6 + n**3 + 11*n**2/2 + 10. Let y(f) be the second derivative of z(f). What is r in y(r) = 0?
-3/4, -1/2
Let s(k) be the third derivative of 1/15*k**5 - 1/12*k**4 + 9*k**2 - 2/3*k**3 + 0*k + 1/60*k**6 + 0. Factor s(a).
2*(a - 1)*(a + 1)*(a + 2)
Let d = -8 - -24. Suppose -4*a + 5*o + d = -2*a, 0 = 3*a + o - 7. What is t in 1/4 + 0*t**2 + 1/2*t**a - 1/4*t**4 - 1/2*t = 0?
-1, 1
Suppose k + 6 = 3*f + 1, 6 = 4*f - 2*k. Factor -i**2 + 9*i**4 - 2*i**f + 8*i**5 - 2*i**5.
3*i**2*(i + 1)**2*(2*i - 1)
Suppose 0 = -4*z + 3*q + 3, 4*q + 8 - 4 = 0. What is c in -26/7*c**4 - 6/7*c**3 - 8/7*c**5 + z + 0*c**2 + 0*c = 0?
-3, -1/4, 0
Let r(a) be the second derivative of 0*a**3 + a + 0 + 2/45*a**5 + 0*a**2 + 1/135*a**6 + 2/27*a**4. Factor r(s).
2*s**2*(s + 2)**2/9
Let h(b) = -2*b**4 + 8*b**3 + 16*b + 14. Let c(l) = -l**3 - l - 1. Let q(w) = -12*w. Let s be q(-1). Let u(t) = s*c(t) + h(t). Let u(p) = 0. Calculate p.
-1, 1
Suppose 7 = 5*v + 2. Factor 2 + 15 + 88*y**3 + 20*y**4 + 132*y**2 + 80*y - v.
4*(y + 1)**2*(y + 2)*(5*y + 2)
Let k(y) be the first derivative of -y**4/16 + y**3/3 - y**2/2 - 2. Find l, given that k(l) = 0.
0, 2
Let i(c) = -c - 10. Let n be i(-12). Find v, given that -28*v**3 + 4*v**4 + 6*v + 45*v**2 - 48*v + 16*v**n + 9 = 0.
1/2, 3
Let d(r) be the second derivative of 0 + 0*r**2 - 1/12*r**4 - 2*r + 1/6*r**3. Factor d(w).
-w*(w - 1)
Let t be (8/(-14) - -1) + (-9)/(-63). Factor -t - 2/7*a**3 + 2/7*a + 4/7*a**2.
-2*(a - 2)*(a - 1)*(a + 1)/7
Let f be ((-6)/(-18))/((-1)/(-12)). Let v(u) be the first derivative of 4/9*u**3 - 1/9*u**6 + 0*u - 1/9*u**2 - f + 4/9*u**5 - 2/3*u**4. Factor v(c).
-2*c*(c - 1)**3*(3*c - 1)/9
Let g(q) = -2*q**5 + 8*q**4 - 6*q**3 + 10*q**2 + 26*q + 18. Let h(l) = l**4 + l + 1. Let o(y) = -2*g(y) + 36*h(y). Factor o(u).
4*u*(u - 1)*(u + 1)**2*(u + 4)
Let h(r) = -r**2 + 3*r + 3. Let l = 14 + -11. Let i be h(l). Suppose -1/4*u**i + 0*u**2 + 0 - 1/4*u**4 + 0*u = 0. What is u?
-1, 0
Let t be (-3)/9 - (200/(-12))/5. Determine c, given that 40/3*c**t - 2/3 + 0*c + 14*c**2 = 0.
-1, -1/4, 1/5
Let a(c) be the first derivative of 0*c**2 + 1/5*c**5 + 3 + 0*c**3 + 0*c - 1/4*c**4. Find x such that a(x) = 0.
0, 1
Let g be 6/(-4)*-1 - 0. Let n(j) be the first derivative of 3*j**2 - 2*j - g*j**4 + 4/5*j**5 + 2 - 2/3*j**3. Factor n(b).
2*(b - 1)**2*(b + 1)*(2*b - 1)
Let p(y) be the second derivative of y**5/100 + y**4/20 - 44*y. Factor p(z).
z**2*(z + 3)/5
Solve 0*y + 0 + 0*y**3 + 0*y**2 + 3/2*y**4 = 0.
0
Let x be (-2 + 6)*(-9)/(-270). Let t(r) be the first derivative of 1/20*r**4 + 0*r + 5 + 0*r**2 + x*r**3. Find f, given that t(f) = 0.
-2, 0
Let x be -10*(7/(-2) + 3). Let u(n) be the second derivative of 0 + 4/15*n**6 + 0*n**3 + 0*n**2 + 2*n - 1/2*n**x + 1/6*n**4. What is g in u(g) = 0?
0, 1/4, 1
Let g(t) be the first derivative of 1/3*t**3 + 2*t + 3 + 1/12*t**4 + 1/2*t**2. Let n(o) be the first derivative of g(o). What is l in n(l) = 0?
-1
Let x(m) = 21*m**3 + 27*m**2 + 6*m + 6. Let p(h) = 43*h**3 + 55*h**2 + 12*h + 11. Let a(z) = -6*p(z) + 11*x(z). Suppose a(u) = 0. What is u?
-1, -2/9, 0
Solve 36/5*o + 16/5 + 24/5*o**2 + 4/5*o**3 = 0.
-4, -1
Let g(x) be the third derivative of -x**7/90 + x**6/20 - x**5/36 - x**4/12 - x**2 + 4. Determine w, given that g(w) = 0.
-3/7, 0, 1, 2
Let y be -6 + 2 + (-3)/1. Let g = 7 + y. Solve -2/7*s - 4/7*s**2 + 4/7*s**4 + 0*s**3 + 2/7*s**5 + g = 0.
-1, 0, 1
Let n(q) be the first derivative of q**2/2 - 2*q + 2. Let b be n(4). Factor -6*p**3 - 4*p**2 + 4*p**b + 4*p**3.
-2*p**3
Let v(o) be the third derivative of -o**8/10080 - o**7/2520 + o**5/20 - 4*o**2. Let i(q) be the third derivative of v(q). Find d, given that i(d) = 0.
-1, 0
Let k be 4/(-10) + (-597)/(-5). Let u = k + -831/7. Factor 0 + 0*p + 4/7*p**3 + 2/7*p**2 + u*p**4.
2*p**2*(p + 1)**2/7
Suppose 0 = 3*j + m - 6, 4*j - 2*m = -0*m + 8. Let 18/7 + 2/7*u**j - 12/7*u = 0. What is u?
3
Let l(x) be the second derivative of -x**6/150 + x**5/20 + 5*x + 2. Find y, given that l(y) = 0.
0, 5
Let y(d) = 4*d**5 - 2*d**4 - 10*d**3 + 6*d**2 + 6*d - 4. Let l(c) = 8*c**5 - 3*c**4 - 21*c**3 + 11*c**2 + 13*c - 8. Let q(j) = -2*l(j) + 5*y(j). Factor q(t).
4*(t - 1)**3*(t + 1)**2
Suppose -4*n = -8*n + 16. Let r = n - -12. Suppose -18*h**5 + 18*h**4 - 44*h**3 + r*h**2 + 30*h**4 - h - h = 0. What is h?
0, 1/3, 1
Let i(f) = f**2 + 5*f + 6. Let d be i(-4). Suppose -1 = m, -g + 4*m = -8 + 1. Factor -t**2 + 5*t**3 + t + d*t**2 - 6*t**g - 1.
-(t - 1)**2*(t + 1)
Let u(b) = b**2 - 4. Let j be u(-3). Suppose j*w - 4 = 6. Factor -5*c**2 - 5*c - 3*c**2 + c**2 + w.
-(c + 1)*(7*c - 2)
Let v(o) = o**4 - o**3 + o**2 + o + 1. Let j(s) = -s**3 + s**2 - 2*s**2 - 3*s**4 + 1 + 4*s**3 - 3*s - 3. Let c(z) = j(z) + 2*v(z). Factor c(g).
-g*(g - 1)**2*(g + 1)
Let u = 75/28 - 17/7. Suppose -1/4*w + 0 + u*w**2 + 1/4*w**3 - 1/4*w**4 = 0. Calculate w.
-1, 0, 1
Let g = -829 - -832. Factor -3*y**2 - 1/3*y**4 + 0*y + 0 + 2*y**g.
-y**2*(y - 3)**2/3
Factor -38*l**2 - 31*l**2 + 81*l**2 + 32*l**3 - 12*l**4 + 32*l**4.
4*l**2*(l + 1)*(5*l + 3)
Let c(p) be the third derivative of p**6/120 - 2*p**5/15 + 7*p**4/24 + 40*p**2. Solve c(l) = 0.
0, 1, 7
Factor d + d**2 - 2 + 32*d**3 - 33*d**3 + 1.
-(d - 1)**2*(d + 1)
Suppose -i = 1 - 0. Let k(u) = -4*u - 1. Let m be k(i). Factor 2*c**5 + 2*c**m + 3*c**3 - 7*c**3.
2*c**3*(c - 1)*(c + 1)
Let h(m) be the third derivative of -m**8/84 - 4*m**7/105 + 3*m**2. Suppose h(l) = 0. What is l?
-2, 0
Suppose -10*c**2 + 5*c**4 - 15*c**3 + 15*c**5 + 5 - 35*c**3 + 20*c**3 + 15*c = 0. What is c?
-1, -1/3, 1
Let n be (225/(-30))/(2/(-4)). Suppose 12*c + 15 = n*c. Determine i, given that i + 2*i**3 - i**4 - 1/5 - 2*i**2 + 1/5*i**c = 0.
1
Let l = 458/3 - 152. Solve l - 2/3*i**2 + 2/3*i - 2/3*i**3 = 0 for i.
-1, 1
Let c(n) = n**3 - 7*n**2 - n + 10. Suppose -2*f + 6*f = 28. Let h be c(f). Find x, given that 1/4*x**2 + 0 - 1/4*x**4 - 1/4*x + 1/4*x**h = 0.
-1, 0, 1
Suppose 0 = 5*c + 8 - 33. Suppose 277 = 4*h + 69. Find b, given that -26*b**3 - 5*b**c + h*b**4 - 27*b**5 + 2*b**5 + 4*b**2 = 0.
0, 1/3, 2/5, 1
Solve -8/7 - 8/7*z -