0, 2
Let u = 89 - 89. Find x, given that u + 0*x - 2/7*x**2 = 0.
0
Let l be 3*2*(-3)/9. Let q = 0 - l. Determine t so that 4 + 0*t**2 - 4*t**q - 6*t**2 - 6*t = 0.
-1, 2/5
Solve 2*v**2 + 48/7*v + 18/7 = 0.
-3, -3/7
Find f, given that 3*f**2 - f**2 - 2*f**2 - 4*f - f**2 - 4 = 0.
-2
Let s be (1/(-15))/(98/(-245)). Factor -s*k**2 + 0 + 0*k - 1/3*k**3 - 1/6*k**4.
-k**2*(k + 1)**2/6
Let t(b) = -b**3 + b**2 + b. Let o(f) = -13*f**3 + 17*f**2 + 11*f. Let n(s) = -2*o(s) + 22*t(s). Suppose n(m) = 0. Calculate m.
0, 3
Let f(c) be the first derivative of -2*c**3/21 - 4*c**2/7 - 8*c/7 + 5. Factor f(i).
-2*(i + 2)**2/7
Let b be 7 + 175/(-28) - (-2)/(-4). Let 1/2*a**2 - 1/2 - b*a + 1/4*a**3 = 0. Calculate a.
-2, -1, 1
Let c(j) be the first derivative of -j**8/168 + j**7/140 + j**6/90 - j**3/3 - 1. Let k(l) be the third derivative of c(l). Factor k(h).
-2*h**2*(h - 1)*(5*h + 2)
Let m(j) = 10*j**5 + 20*j**4 + 18*j**3 + 16*j**2 + 8*j - 8. Let s(a) = -a**5 - a**4 + a**3 + a**2 + 1. Let i(q) = m(q) + 8*s(q). Suppose i(c) = 0. What is c?
-2, -1, 0
Let u(y) be the first derivative of 3/2*y**4 - 3*y**2 - 2/3*y**3 - 2/5*y**5 + 3 + 4*y. Find w such that u(w) = 0.
-1, 1, 2
Factor 138 - 20*s**2 - 138 - 8*s - 12*s**3.
-4*s*(s + 1)*(3*s + 2)
Let a(o) be the first derivative of -3/2*o**6 - 33/5*o**5 - 5 + 4*o**3 - 6*o**4 + 0*o + 0*o**2. Let a(p) = 0. Calculate p.
-2, 0, 1/3
Let r = 48 + -23. Let i = -25 + r. What is v in 8/3*v - 5/3*v**4 + i + 22/3*v**3 - 28/3*v**2 = 0?
0, 2/5, 2
Let a be (4 + (-196)/50)*5. Let n = 4 - 4. Factor n*i + a*i**2 - 2/5.
2*(i - 1)*(i + 1)/5
Let w(j) = 1 + 1 + 2*j - 4 - 6. Let v be w(6). Determine p, given that 0 - 6*p**2 + 2*p + 15/2*p**v - 1/2*p**3 = 0.
-1, 0, 2/5, 2/3
Let a = 631/240 + -11/48. Determine y, given that -3/5*y + 0 - a*y**2 = 0.
-1/4, 0
Suppose 5*v = -4*k + 7, 11*k - 6*k - 5*v - 20 = 0. Factor 16*c**2 + 2/3*c**4 + 32/3 + 16/3*c**k + 64/3*c.
2*(c + 2)**4/3
Let n(f) be the third derivative of -f**8/5040 + f**7/1260 - f**3/3 + 5*f**2. Let k(b) be the first derivative of n(b). Factor k(r).
-r**3*(r - 2)/3
Let w(l) = l**4 + 2*l**3 + l**2 - 6*l - 6. Let q(j) = -j - 1. Let i(a) = 30*q(a) - 5*w(a). Factor i(y).
-5*y**2*(y + 1)**2
Factor 0 + 0*z**2 - 2/3*z + 2/3*z**3.
2*z*(z - 1)*(z + 1)/3
Let k(z) = 14*z**3 + 11*z**2 + 20. Let p(x) = -5*x**3 - 4*x**2 - 7. Let j(g) = 6*k(g) + 17*p(g). Let u be j(-1). Factor -n + 2*n**3 - 2*n**2 - 3*n**3 + u*n.
-n*(n + 1)**2
Let a(h) be the first derivative of h**4/4 + 4*h**3/3 - h**2/2 - 4*h + 11. Factor a(x).
(x - 1)*(x + 1)*(x + 4)
Find o such that 3/2*o**2 + 5/2*o - 1/2*o**4 - 1/2*o**3 + 1 = 0.
-1, 2
Let z(j) be the first derivative of 2*j**6/21 - 2*j**5/7 + 3*j**4/14 + 2*j**3/21 - j**2/7 - 1. Factor z(u).
2*u*(u - 1)**3*(2*u + 1)/7
Let f(o) = -3*o**5 - 12*o**4 - 14*o**3 - 8*o**2 + o. Let v(g) = 3*g**5 + 12*g**4 + 13*g**3 + 7*g**2 - 2*g. Let q(u) = -5*f(u) - 4*v(u). Factor q(t).
3*t*(t + 1)**4
Let w(f) be the first derivative of 25*f**4/4 + 20*f**3 - 90*f**2 - 80*f + 12. Factor w(b).
5*(b - 2)*(b + 4)*(5*b + 2)
Let c = -89 + 197. Let t = -429/4 + c. Factor -1/4*m**3 + 3/4*m**2 - t*m + 1/4.
-(m - 1)**3/4
Let b be (-5)/(-20) - 13/(-12). Let w(p) be the first derivative of -b*p**3 - p**2 - 3 - 1/2*p**4 + 0*p. Factor w(z).
-2*z*(z + 1)**2
Let c be (8/(-18))/(-4 + 2). Factor 0 - 2/9*n**2 - c*n.
-2*n*(n + 1)/9
Let c(j) = -j**2 + 7*j + 4. Let n = -3 - -10. Let x be c(n). Find p such that 135*p**2 + 300*p**4 + 212*p**x + 2 + 32*p + 512*p**3 + 57*p**2 = 0.
-1/4
Let z(y) be the third derivative of -3*y**2 + 1/36*y**4 + 1/9*y**3 + 0*y + 0 - 1/90*y**6 + 1/315*y**7 + 1/504*y**8 - 1/45*y**5. Determine w so that z(w) = 0.
-1, 1
Let w(u) = -2*u**2 + 2*u + 3. Let y(i) = 7*i**2 - 7*i - 8. Let g(v) = 8*w(v) + 3*y(v). Solve g(h) = 0.
0, 1
Let t be (-2)/(-2) - (-6)/3. Suppose 0 = 6*j - t - 9. Suppose 0 + 0*k**j + 2/7*k**3 - 2/7*k = 0. What is k?
-1, 0, 1
Let n(r) = -12*r**2 - 6*r. Suppose -o - 11 = -2*h, 2*h + 3*o = -o + 6. Let k(t) = 13*t + 23*t**2 + 0 + 0. Let x(a) = h*n(a) + 2*k(a). Factor x(y).
-2*y*(7*y + 2)
Let g(a) be the third derivative of -a**8/896 + a**7/560 + a**6/320 - a**5/160 - 7*a**2. Factor g(u).
-3*u**2*(u - 1)**2*(u + 1)/8
Suppose 4*b + 24 = 2*u, -2*u + 1 = 3*b + 5. Determine c, given that 40*c**3 + 4*c - u*c - 41*c**3 = 0.
0
Let o(q) be the first derivative of 0*q + 4/3*q**3 - 3 + 2*q**2 + 1/4*q**4. What is j in o(j) = 0?
-2, 0
Let z(n) be the second derivative of n**5/26 - 17*n**4/78 + 16*n**3/39 - 4*n**2/13 - n. Factor z(k).
2*(k - 2)*(k - 1)*(5*k - 2)/13
Factor -21/5*f - 12/5*f**2 + 12/5*f**3 - 6/5.
3*(f - 2)*(2*f + 1)**2/5
Let x(b) be the second derivative of b**5/10 - b**4/6 + 5*b. Factor x(o).
2*o**2*(o - 1)
Suppose -o = 4*o - 50. Let n = o + -10. Determine l, given that n*l - 2*l**4 - 8/3*l**3 - 2/3*l**2 + 0 = 0.
-1, -1/3, 0
Suppose 4 = 3*z - z. Let d be 3/(-12) - (-18)/8. Factor -3*r + r**d - z - 3*r**2 + 3*r + 4*r.
-2*(r - 1)**2
Let d(n) be the first derivative of -3*n**5/35 - 3*n**4/14 + 3*n**2/7 + 3*n/7 + 2. Factor d(o).
-3*(o - 1)*(o + 1)**3/7
Let n = 10 + -6. Factor -6*i + n*i + 2*i**3 + 4*i**2 + 4*i.
2*i*(i + 1)**2
Let f(x) = 2*x - 22. Let d be f(10). Let v(r) = 9*r**3 - 3 - 9*r + r**2 + 4 + 3. Let c(g) = -4*g**3 + 4*g - 2. Let n(y) = d*v(y) - 5*c(y). Factor n(z).
2*(z - 1)**2*(z + 1)
Let x(l) = -l - 1. Let j be x(2). Let r = 9 - j. Find u, given that -u + 4*u**5 + 2*u**3 - 5*u**5 - 12*u**2 + r*u**2 = 0.
-1, 0, 1
Let u = 18 - 8. Let x = -6 + u. Factor -g**x - g**2 - 18*g**3 + g - g + 20*g**3.
-g**2*(g - 1)**2
Let g(a) be the first derivative of a**5/10 + 7*a**4/8 + 5*a**3/2 + 9*a**2/4 - 6. Solve g(h) = 0.
-3, -1, 0
Let u be -1 - (3 + -6 + -2). Let f be ((306/u)/(-3))/(-3). Find i such that 1/4*i - 4*i**2 + 1/2 - 7/4*i**5 - f*i**3 - 13/2*i**4 = 0.
-1, 2/7
Suppose -9*m = 9*m - 14*m. Let d(y) be the first derivative of 1/8*y**2 - 1/3*y**3 + 2 + m*y. Suppose d(z) = 0. Calculate z.
0, 1/4
Let q(t) be the third derivative of -t**8/40320 - t**7/2520 - t**6/360 + t**5/20 + 4*t**2. Let b(p) be the third derivative of q(p). Let b(x) = 0. What is x?
-2
Let f be ((-15)/(-30))/(2/12). Let j(n) be the second derivative of 0 + 0*n**f + 0*n**2 + n + 1/48*n**4. Factor j(a).
a**2/4
Let c(t) be the first derivative of -t**6/10 + 11*t**5/20 - 5*t**4/4 + 3*t**3/2 - t**2 + 2*t + 3. Let i(r) be the first derivative of c(r). Factor i(b).
-(b - 1)**3*(3*b - 2)
Let c be (-3)/9*(-18)/2. Suppose 3*z + 3*b + c = 0, 0 = -z + 2*b - 7*b - 9. Let -6*q**2 + z + 7/2*q**3 + 3/2*q = 0. What is q?
-2/7, 1
Determine m, given that 0 - 3/4*m**3 + 0*m**2 + 0*m + 1/4*m**4 = 0.
0, 3
Let b(f) be the second derivative of 0*f**3 - 1/2*f**2 - 1/96*f**4 + 0 - 1/240*f**5 - f. Let w(i) be the first derivative of b(i). Factor w(a).
-a*(a + 1)/4
Let q(c) be the first derivative of -3/4*c**4 + 6*c - 15/2*c**2 - 4 + 4*c**3. Determine x, given that q(x) = 0.
1, 2
Factor 160*k**2 - 200*k**3 - 4*k**5 + 8 + 120*k**4 - 10*k**5 - 4*k**5 - 10*k**5 - 60*k.
-4*(k - 1)**4*(7*k - 2)
Let p(x) be the first derivative of -2/15*x**5 + 0*x**2 + 0*x + 0*x**3 + 1/3*x**4 + 2. What is t in p(t) = 0?
0, 2
Let f be (-16)/(-15) + (-8)/12. Find x such that f*x**2 + 8/5 + 8/5*x = 0.
-2
Let r be (-16)/(-22) + 0/(-1). Let c = 27/22 - r. Solve 0*d + 0 + 1/2*d**3 - c*d**2 = 0.
0, 1
Let c be -7 + 7 + 2/1. Let l(h) be the second derivative of 0*h**3 + 0*h**c + 0 + 1/60*h**4 - 2*h. Find w such that l(w) = 0.
0
Find z such that -3*z - 1/2*z**2 - 9/2 = 0.
-3
Let u(g) = 6*g**4 + 6*g**3 + 6*g**2 - 3. Let h(c) = 17*c**4 + 18*c**3 + 17*c**2 - 8. Let m(a) = -3*h(a) + 8*u(a). Find t such that m(t) = 0.
-1, 0
Let r be -1*3*(-1)/1. Find s such that 0*s - 3*s**3 + s**4 + 6*s**r + 3*s - 2*s + 3*s**2 = 0.
-1, 0
Factor 3/4*q**4 + 3/8*q**2 + 0*q + 0 + 9/8*q**3.
3*q**2*(q + 1)*(2*q + 1)/8
Let d = -1914 + 401941/210. Let w(i) be the third derivative of 1/84*i**4 - 1/21*i**3 + 0*i + 0 + i**2 - 1/420*i**6 + d*i**5. Find m such that w(m) = 0.
-1, 1
Determine z so that -3*z**2 + 1 - 1 + 2*z**2 = 0.
0
Let v = 561 - 558. Determine o so that 0 + 3/4*o**v + 7/4*o**2 - 7/4*o**4 - 5/4*o**5 + 1/2*o = 0.
-1, -2/5, 0, 1
Factor 9*l**2 - 16*l + 33*l - 25*l - l**3.
-l*(l - 8)*(l - 1)
Let n(c) be the first derivative of -c**3/21 + 2*c**2/7 - 4*c/7 + 6. Find o, given that n(o) = 0.
2
Suppose 3*q - 12 = -0