*(d - 1)/5
Let j(m) = -17*m**3 + 4*m**2 - m - 2. Let r be j(2). Let s be r/(-12) - (-4)/6. Let 8*c**4 - 2*c**4 - 10*c**3 - 2*c**2 + s*c**3 = 0. What is c?
-2/3, 0, 1/2
Let y(t) be the third derivative of t**8/84 + 4*t**7/105 + t**6/30 + 13*t**2. Solve y(v) = 0.
-1, 0
Let x(s) be the third derivative of s**5/360 - s**4/36 - 36*s**2. Let x(g) = 0. What is g?
0, 4
Suppose -v = 4*v - 15, -14 = -c - 4*v. Factor -4*d**c - 2 + 2*d**2 - 2*d**2 + 6*d**2.
2*(d - 1)*(d + 1)
Let m be (2 - -2) + -3 - -3. Suppose -m*p + p + 6 = 0. Find f, given that -4/3 - 27*f**p - 12*f = 0.
-2/9
Let u = -107/14 - -57/7. Solve -u*x**4 + 0 + 0*x**3 + 1/2*x**2 + 0*x = 0.
-1, 0, 1
Let p be 1/2*128/8. Suppose -5*m + m + p = 0. Factor 16/3*q**m - 10/3*q**3 + 2/3*q**4 - 8/3*q + 0.
2*q*(q - 2)**2*(q - 1)/3
Let s = 21 - 20. Let z be 4 - s - (5 + -2). Solve z*o + o**3 + 1/2 - 3/2*o**2 = 0.
-1/2, 1
Let v(d) be the second derivative of d**8/1470 - d**7/980 - d**6/1260 - 5*d**3/3 - 3*d. Let p(s) be the second derivative of v(s). Determine i so that p(i) = 0.
-1/4, 0, 1
Let i = 292 + -1458/5. Factor -8/5*l + i*l**2 + 8/5.
2*(l - 2)**2/5
Let m be (-3)/(-2)*8/12. Let x(j) = 3*j**2 - j. Let k be x(m). Solve 6*w**3 - 3*w**3 + 5*w**3 - 2*w**k = 0.
0, 1/4
Let y(k) be the third derivative of -k**5/210 + k**4/84 + 3*k**2 + 17. Factor y(j).
-2*j*(j - 1)/7
Let g(u) be the second derivative of u**4/8 - u**3/2 - 9*u**2/4 - 35*u. Factor g(l).
3*(l - 3)*(l + 1)/2
Let y(b) = -b**3 + 12*b**2 + 14*b - 15. Let m be y(13). Let g be -3 - ((-147)/27 - m). Solve -2/9*t - 2/9*t**3 + 0 - g*t**2 = 0.
-1, 0
Let q be 20/((-440)/(-33))*1*2. Determine z so that -7/2*z**q - 1 - 1/2*z**2 + 3/2*z**4 + 7/2*z = 0.
-1, 1/3, 1, 2
Suppose -4*l = -2 - 2. Find f, given that -f + 2*f**4 - 3*f**4 + 3*f - 2*f**3 + l = 0.
-1, 1
Suppose -3*k = u - 8, 3*u = u - 5*k + 14. Let -17*z + z + 16 + 4*z**4 + 4*z**3 + 4*z**3 - 10*z**u - 2*z**2 = 0. Calculate z.
-2, 1
Let z(i) = 26*i**4 + 6*i**3 - 26*i**2 - 6*i + 2. Let r(a) = 51*a**4 + 11*a**3 - 51*a**2 - 11*a + 5. Let y(u) = 2*r(u) - 5*z(u). Suppose y(w) = 0. Calculate w.
-1, -2/7, 0, 1
Let d(s) be the first derivative of s**6/7 + 4*s**5/35 - 10. Factor d(f).
2*f**4*(3*f + 2)/7
Factor -9*v + 3/4*v**3 - 3/4*v**4 + 6*v**2 + 0.
-3*v*(v - 2)**2*(v + 3)/4
Let u(c) be the third derivative of 0*c**3 - 1/6*c**4 + 0*c + 1/30*c**6 + 8*c**2 + 0*c**5 + 0. Determine i so that u(i) = 0.
-1, 0, 1
Suppose -1/2*c**2 + 0 + c + 13/2*c**4 - 5/2*c**5 - 9/2*c**3 = 0. Calculate c.
-2/5, 0, 1
Suppose -s - 2 = -5. Let o(l) = -7*l**3 + 6*l**2 + l. Let a(d) = -d**4 - 8*d**3 + 7*d**2 + 2*d. Let b(h) = s*o(h) - 2*a(h). Factor b(k).
k*(k - 1)**2*(2*k - 1)
Suppose 5 + 16 = 2*l - 3*i, 2 = 4*l + 2*i. Factor 0*f**l + 0 + 2/9*f**5 - 2/9*f + 4/9*f**2 - 4/9*f**4.
2*f*(f - 1)**3*(f + 1)/9
Let h(g) be the first derivative of -g**9/13608 + g**7/3780 - g**3 + 1. Let v(o) be the third derivative of h(o). Factor v(q).
-2*q**3*(q - 1)*(q + 1)/9
Suppose -5*n + 3*u + 9 = 0, 4*n = 6*n - 4*u - 12. Factor 1/4*z**5 + 1/4*z**3 + n + 0*z + 0*z**2 - 1/2*z**4.
z**3*(z - 1)**2/4
Let l(k) be the first derivative of k**5/50 + 3*k**4/10 + 9*k**3/5 + 27*k**2/5 - 2*k - 2. Let q(n) be the first derivative of l(n). Factor q(o).
2*(o + 3)**3/5
Let r(t) = 3*t + 2 - 1 - 4*t. Let d be r(-3). Factor 0*m**2 + 0*m**d - 2/11*m + 0 + 4/11*m**3 - 2/11*m**5.
-2*m*(m - 1)**2*(m + 1)**2/11
Let t be 2/2*(-3)/(-15). Let v(s) be the second derivative of 2/3*s**3 + 2*s - 1/30*s**6 + 0 + t*s**5 - 1/2*s**4 - 1/2*s**2. Determine k so that v(k) = 0.
1
Let t be 16/(-180)*(0 + (-175)/14). Determine m, given that 8/9*m**2 - t*m + 2/9 = 0.
1/4, 1
Let r be (-8)/12 - 8/(-3). Suppose 0 = -6*x + r*x. Suppose -2*a**3 - 4/3*a - 10/3*a**2 + x = 0. What is a?
-1, -2/3, 0
Find z such that z**3 + 6*z**3 - 15*z**2 + 15 - 3*z + 0*z**3 - 4*z**3 = 0.
-1, 1, 5
Let a(g) be the third derivative of g**5/150 + g**4/60 + 13*g**2. Factor a(n).
2*n*(n + 1)/5
Let g(f) = 0*f**3 + 4*f**2 - 3*f**2 + f**3. Let n(m) = 19*m**3 - 47*m**2 + 48*m - 12. Let s(j) = -4*g(j) + n(j). Factor s(h).
3*(h - 2)*(h - 1)*(5*h - 2)
Suppose 0 = 4*h - 3*d - 8, 5*h - 2*d - 9 = 2*d. Suppose 3*q - l - 1 = 0, l + h = 5*q - 0*l. Find g, given that -3*g**3 + g**3 + q*g**2 + 0*g**2 = 0.
0, 1
Let b(t) be the second derivative of 0*t**2 - 3*t - 2/21*t**3 + 0 - 1/14*t**4 - 1/70*t**5. Factor b(u).
-2*u*(u + 1)*(u + 2)/7
Let a(v) = v**3 - 4*v**2 - v - 2. Suppose -5*b = -0*u + 3*u + 23, 3*b = u - 11. Let j(p) = p**2 + p + 1. Let c(o) = b*j(o) - 2*a(o). Factor c(f).
-2*f*(f - 1)**2
Let v(z) be the first derivative of -z**3 + 3*z**2/2 - 3. Factor v(p).
-3*p*(p - 1)
Let v be -2*(0 + 1) - 650/(-300). Factor 0*f + 0*f**3 + 0 + 1/6*f**2 - v*f**4.
-f**2*(f - 1)*(f + 1)/6
Let o(r) be the first derivative of 3 + r - 1/4*r**2 - 1/6*r**3. Suppose o(n) = 0. What is n?
-2, 1
Let n(q) be the second derivative of -q**5/2 - 4*q**4/3 + 19*q**3/3 - 6*q**2 + 14*q. Determine v so that n(v) = 0.
-3, 2/5, 1
Suppose -5*f + 3*w - w = -10, 2*f = -2*w - 10. Find x, given that f + 2/5*x + 2/5*x**2 = 0.
-1, 0
Suppose -6 = -3*w - 2*y, -4*w + 4*y = -5*w - 8. Determine r, given that 32/7 - 96/7*r + 16/7*r**2 + 10/7*r**5 - 54/7*r**w + 80/7*r**3 = 0.
-1, 2/5, 2
Suppose -10 = p + 1. Let m = -9 - p. Factor -2/7*u**m - 2/7 - 4/7*u.
-2*(u + 1)**2/7
Let d be 33/11*6/4. Suppose -f + 0 - 7/2*f**3 + d*f**2 = 0. Calculate f.
0, 2/7, 1
Let t(i) = i + 3. Let z be t(-1). Let q(d) be the second derivative of z*d + 0 - 3/2*d**2 + d**3 - 1/4*d**4. Factor q(y).
-3*(y - 1)**2
Factor 11*d + 37*d - 196*d**3 + 4*d - 4 - 57*d**2 - 83*d**2.
-4*(d + 1)*(7*d - 1)**2
Let d = 2705/3 - 899. Factor -30*x**4 - 16*x**3 + 0*x - 50/3*x**5 - d*x**2 + 0.
-2*x**2*(x + 1)*(5*x + 2)**2/3
Let w(k) = 3*k**2 - 3*k**2 + 3*k**4 + 4*k + 3*k**3. Let p(f) = -7*f**4 - 7*f**3 - 9*f. Let v(c) = -4*p(c) - 9*w(c). Solve v(d) = 0.
-1, 0
Suppose l**2 + 1/3*l**4 + 0 - l**3 - 1/3*l = 0. Calculate l.
0, 1
Let w(o) be the second derivative of 3*o**5/110 + o**4/11 + 12*o. Suppose w(p) = 0. Calculate p.
-2, 0
Let h be (4/5)/(10/25). Suppose 54*t**4 + 17*t - h*t + 36*t**3 - 56*t**2 - 54*t**5 + t = 0. What is t?
-1, 0, 2/3
Suppose -5*p + 19 = -4*z - 37, -4*z + 52 = 4*p. Let f be (p/(-14))/(9/(-14)). What is t in -2/3*t**3 - 2/3*t + 0 - f*t**2 = 0?
-1, 0
Let o(x) be the second derivative of -121*x**4/6 + 44*x**3 - 36*x**2 - 4*x. Factor o(r).
-2*(11*r - 6)**2
Let l(x) = -x**2 + 3*x + 3. Let z be l(3). Find j such that 0*j**5 + z*j**5 + 5*j**3 - 8*j**3 = 0.
-1, 0, 1
Let k(h) be the third derivative of h**7/42 - h**6/24 - h**5/6 - 15*h**2. Factor k(m).
5*m**2*(m - 2)*(m + 1)
Factor 28/3 + 20/3*t**2 + 52/3*t - 4/3*t**3.
-4*(t - 7)*(t + 1)**2/3
Let c(f) = -2*f**5 - 4*f**3 + 3*f. Let d(o) = 8*o**5 + 6*o**3 - 13*o - 5*o**3 + 16*o**3 + o**5. Let u(y) = -26*c(y) - 6*d(y). Determine i so that u(i) = 0.
-1, 0, 1
Let n(d) = 3*d**3 + 14*d**2 - 5*d. Let t(i) be the second derivative of -i**5/10 - 3*i**4/4 + i**3/2 + i. Let l(w) = 5*n(w) + 8*t(w). Let l(g) = 0. What is g?
-1, 0
Let m(k) = -2*k**5 + 4*k**4 + 3*k**3 - 5*k**2 + 1. Let o(l) = l**5 + l**3 - l**2 - l + 1. Let n(i) = 5*m(i) - 5*o(i). Find w, given that n(w) = 0.
-1, 0, 1/3, 1
Let c(s) = s**5 + s + 1. Let p(j) = 13*j**5 + 11*j**4 - 7*j**3 - 11*j**2 + 2*j + 4. Let g(d) = 20*c(d) - 5*p(d). Suppose g(b) = 0. What is b?
-1, -2/9, 0, 1
Let u be (-5)/15*(3 + (-30)/4). Factor -3/2*k**2 + 3/2*k + 0 + 3/2*k**4 - u*k**3.
3*k*(k - 1)**2*(k + 1)/2
Factor 5*h**5 + 6*h**4 - h + 7*h - 4*h**3 - 2 - 7*h**5 - 4*h**2.
-2*(h - 1)**4*(h + 1)
Let g(i) = i**4 - 5*i**3 + 17*i**2 + 13*i. Let w(r) = -2*r**4 + 8*r**3 - 26*r**2 - 20*r. Let d(t) = 8*g(t) + 5*w(t). Let d(m) = 0. Calculate m.
-1, 0, 2
Suppose 4*v - 5*v = -3*v. Let d(s) be the third derivative of -2*s**2 + 1/84*s**4 + 0 - 1/210*s**5 + v*s + 0*s**3. What is b in d(b) = 0?
0, 1
Let a = -37 - -37. Let f(o) be the third derivative of 3*o**2 + 1/18*o**3 + 0 + 1/180*o**5 - 1/36*o**4 + a*o. Factor f(g).
(g - 1)**2/3
Let c be -18*1/((-6)/2). Solve -4*w + 2*w - 2*w**2 + c*w - 2 = 0.
1
Let f be (4 - (7 - 4))*0 - -2. Let r(q) be the first derivative of -1 - 2/3*q**3 + 0*q - q**f. Factor r(m).
-2*m*(m + 1)
Let u(x) be the second derivative of -1/14*x**5 + 0 - 5*x + 2/7*x**4 - 3/7*x**3 + 2/7*x**2. Factor u(m).
-2*(m - 1)**2*(5*m - 2)/7
Let o(c) = 10*c*