*(x + 1)
Suppose -14*s + 0 + 28 = 0. Factor 5/2*r + 2*r**s + 1/2.
(r + 1)*(4*r + 1)/2
Let s be -1*(1 + 23/(-6)). Let o = 19/6 - s. Determine t so that 2/3*t**2 + 0 - o*t**3 - 1/3*t = 0.
0, 1
Let s(o) = 7*o - 3. Let u(z) = 6*z - 2. Let g(k) = 5*s(k) - 6*u(k). Let t be g(-7). Factor 5*j**4 - 5*j**t - 2*j**3 + 2*j**5.
2*j**3*(j - 1)*(j + 1)
Suppose -3*g + 15 = -5*t, 7*g + 2*t = 4*g - 6. Suppose 0*j**4 + j**2 + g*j**2 - j**4 = 0. What is j?
-1, 0, 1
Let j(o) = 9*o**5 - 27*o**4 - 51*o**3 + 17*o**2 + 46*o + 6. Let b(p) = p**4 - 2*p + 1. Let u(g) = 2*b(g) + j(g). Solve u(h) = 0 for h.
-1, -2/9, 1, 4
Suppose -4/3*x + 0 - 10/3*x**2 - 4/3*x**3 = 0. What is x?
-2, -1/2, 0
Let m(b) be the third derivative of -b**6/480 - b**5/120 + b**4/24 + b**3/3 + 12*b**2. Find l such that m(l) = 0.
-2, 2
Let z(x) be the second derivative of x**7/3780 + x**6/540 + x**5/180 + x**4/2 + 4*x. Let t(f) be the third derivative of z(f). Solve t(b) = 0.
-1
Let j be (-2)/(-3) - 16/24. Suppose 3*p - 2 = 2*p. Let j*c**2 + c**2 + p - 3 = 0. Calculate c.
-1, 1
Let u(m) be the first derivative of 2*m**5/45 + 2*m**4/9 + 8*m**3/27 - 3. Find h such that u(h) = 0.
-2, 0
Let s(j) be the second derivative of 0 + j**2 - 2/9*j**4 - 2*j - 7/180*j**5 - 2/9*j**3. Let h(g) be the first derivative of s(g). What is l in h(l) = 0?
-2, -2/7
Determine v, given that -4/3*v**3 - 4/3*v**4 + 0*v + 0 + 4/3*v**2 + 4/3*v**5 = 0.
-1, 0, 1
Let a(j) be the third derivative of j**7/735 + j**6/140 + j**5/210 - j**4/28 - 2*j**3/21 - 2*j**2. Solve a(l) = 0 for l.
-2, -1, 1
Let q(s) be the second derivative of s**5/60 + s**4/18 - s**3/18 - s**2/3 - 5*s. Find n, given that q(n) = 0.
-2, -1, 1
Let c(g) = 8*g**5 + 10*g**4 + g**3 - 10*g**2 - 9*g + 9. Let h(v) = -v**5 - v**4 + v**2 + v - 1. Let z(k) = -2*c(k) - 18*h(k). Solve z(o) = 0.
-1, 0, 1
Let -1/3*v**3 + 14/3 + 9*v + 4*v**2 = 0. What is v?
-1, 14
Let j = -67 - -403/6. Let g(f) be the first derivative of 0*f + 2 + 11/25*f**5 + 1/15*f**3 + j*f**6 + 7/20*f**4 + 0*f**2. Factor g(w).
w**2*(w + 1)**2*(5*w + 1)/5
Let o be (15/12)/(15/6). Let t(u) be the first derivative of -2/3*u**3 + 1/5*u**5 - 1/2*u**4 - 2 + o*u**2 + u + 1/6*u**6. Let t(k) = 0. What is k?
-1, 1
Factor 3*z + 24*z**2 - 7*z**2 + z - 13*z**2.
4*z*(z + 1)
Let b(s) be the second derivative of 0*s**6 + 0 - 1/168*s**7 + 0*s**2 + 0*s**3 + 2*s + 0*s**4 + 1/80*s**5. Find o such that b(o) = 0.
-1, 0, 1
Suppose k - 1 + 0 = 2*h, -5 = -k. Let s(m) be the first derivative of -1 + 0*m - 2*m**h + 2/3*m**3. Factor s(l).
2*l*(l - 2)
Determine s, given that 4/3*s**3 + 0*s**2 - 4/3*s + 0 = 0.
-1, 0, 1
Let w = 9/7 - 47/42. Let x(j) be the second derivative of 0 + w*j**3 - 1/12*j**4 + j + 0*j**2. Solve x(c) = 0 for c.
0, 1
Let a be 5 + (2 + -2 - 3). Factor 0*k**2 - 2*k**2 + a*k**3 - k**2 - k**2.
2*k**2*(k - 2)
Let t(g) be the third derivative of g**8/336 + g**7/105 - g**6/120 - g**5/30 - 3*g**2. Factor t(n).
n**2*(n - 1)*(n + 1)*(n + 2)
Let s(v) be the second derivative of -v**7/3360 + v**5/480 - v**3/2 - 3*v. Let z(y) be the second derivative of s(y). Find f, given that z(f) = 0.
-1, 0, 1
Let p = 1/83 - -493/415. Suppose 0 - 2/5*s**4 - 6/5*s**3 - 2/5*s - p*s**2 = 0. Calculate s.
-1, 0
Let u(t) be the second derivative of -t**7/63 - t**6/45 + t**5/10 + t**4/18 - 2*t**3/9 - 7*t. Let u(j) = 0. Calculate j.
-2, -1, 0, 1
Suppose -4*g - 39 = -51. Let 10/13*h**2 + 6/13 + 2/13*h**g + 14/13*h = 0. What is h?
-3, -1
Let l(s) be the second derivative of 0*s**3 - 1/12*s**4 - 8*s + 0 - 1/30*s**6 + 1/10*s**5 + 0*s**2. Factor l(f).
-f**2*(f - 1)**2
Let m(b) be the first derivative of -4*b**5/15 - b**4/4 + b**3/9 - 31. Factor m(h).
-h**2*(h + 1)*(4*h - 1)/3
Let v(k) be the third derivative of 0 + 0*k**3 + 1/20*k**5 - 3*k**2 + 1/12*k**4 + 0*k + 1/120*k**6. Factor v(q).
q*(q + 1)*(q + 2)
Let g(z) be the second derivative of -11*z**4/36 - z**3/2 + z**2/3 + z. Factor g(c).
-(c + 1)*(11*c - 2)/3
Let t(p) = -p**3 - p**2 + p. Let q(i) = 10*i**4 - 29*i**3 + 15*i**2 + 5*i - 4. Let v(f) = 2*q(f) - 6*t(f). Factor v(a).
4*(a - 1)**3*(5*a + 2)
Let i(b) be the first derivative of 8*b**3/45 - b**2/3 + 2*b/15 + 16. Determine u, given that i(u) = 0.
1/4, 1
Let w(s) = s**3 - 7*s**2 + 7*s - 2. Let q be w(6). Factor q*i + 2*i**3 + 2*i**2 - 4*i**3 - 4*i.
-2*i**2*(i - 1)
Let u(b) be the first derivative of b**6/288 + b**5/96 + 3*b**3 + 7. Let w(g) be the third derivative of u(g). Factor w(a).
5*a*(a + 1)/4
Let a = 13 + -12. Let y be 0/2 - (-4 + a). Determine j, given that 0 + 3/2*j**y + 0*j - 3/2*j**2 = 0.
0, 1
Let w(z) be the third derivative of -z**8/33600 + z**7/8400 - z**5/60 - 2*z**2. Let s(l) be the third derivative of w(l). Determine b, given that s(b) = 0.
0, 1
Let j(w) = w**3 - 5*w**2 + 2*w - 4. Let a be j(4). Let o be ((-2)/(-3))/((-8)/a). Factor 2 + 2*y**2 - 6*y - o + 3.
2*(y - 2)*(y - 1)
Factor -4*u + 8 + 4*u**4 + 0*u**4 - 47*u**3 + 51*u**3 - 12*u**2.
4*(u - 1)**2*(u + 1)*(u + 2)
Factor 0 - 3/2*u**5 - 4*u**4 - 7/2*u**3 - u**2 + 0*u.
-u**2*(u + 1)**2*(3*u + 2)/2
Let -6*s - 3*s**3 + 2 + 1/2*s**4 + 13/2*s**2 = 0. Calculate s.
1, 2
Let x(n) be the first derivative of n**6/60 - n**5/15 + n**4/12 + n**2 + 3. Let b(h) be the second derivative of x(h). Determine g, given that b(g) = 0.
0, 1
Let b(a) be the second derivative of -a**8/15680 + a**7/2940 + a**6/1680 - a**5/140 - a**4/4 + 6*a. Let z(n) be the third derivative of b(n). Factor z(x).
-3*(x - 2)*(x - 1)*(x + 1)/7
Let r(t) be the first derivative of -1 + 2/5*t - 1/5*t**2 - 4/15*t**3. What is u in r(u) = 0?
-1, 1/2
Let x(v) be the second derivative of -v**4/3 + 10*v**3/3 + 2*v. Factor x(r).
-4*r*(r - 5)
Let f be 28/6 + -5*2/(-30). Factor 1/2*k**3 + 0 + 0*k - 1/2*k**f - 1/2*k**2 + 1/2*k**4.
-k**2*(k - 1)**2*(k + 1)/2
Let i be 359/8 + 6/48. Let f be (93/i - 2)*6. Find l, given that 0 - f*l + 2/5*l**2 = 0.
0, 1
Let v(a) be the third derivative of -3*a**7/280 + 29*a**6/480 - 11*a**5/80 + 5*a**4/32 - a**3/12 + 16*a**2. Solve v(k) = 0.
2/9, 1
Let l(b) be the second derivative of 1/11*b**3 - 2*b - 2/11*b**2 + 0 - 1/66*b**4. Find r such that l(r) = 0.
1, 2
Let f = -129 + 131. Find t, given that -4/5*t**4 + 0 + 1/5*t - 4/5*t**f + 6/5*t**3 + 1/5*t**5 = 0.
0, 1
Suppose 0 = -t - 0*v - 5*v + 5, -3*t = -4*v + 4. Determine a, given that -a**4 - 8/5*a**3 - 1/5*a**5 - 4/5*a**2 + 0*a + t = 0.
-2, -1, 0
Let f be 4/8 + (-122)/4. Let k = 121/4 + f. Find d, given that -5/4*d**2 - 1 - k*d**3 - 2*d = 0.
-2, -1
Let g(b) = 4*b**2 + 5*b - 3. Let j(a) = -a**2 - a. Let q(n) = -g(n) - 5*j(n). Let m(w) = 2*w**2 + 8. Let o(s) = -3*m(s) + 8*q(s). Find i such that o(i) = 0.
0
Let j(g) be the second derivative of -g**5/4 + 5*g**4/12 + 5*g**3/6 - 5*g**2/2 + 9*g. Factor j(x).
-5*(x - 1)**2*(x + 1)
Let c be 6/((6/32)/1). Suppose 3*p**5 + 0*p**3 - 2*p**2 + 11*p**5 - 2*p**2 + 22*p**3 - c*p**4 = 0. Calculate p.
0, 2/7, 1
Factor -2*q**4 + 7*q**2 + 0*q**3 - 1 + q - q**3 - 4*q**2.
-(q - 1)*(q + 1)**2*(2*q - 1)
Let r(c) be the second derivative of -c**7/105 - c**6/75 + c**5/50 + c**4/30 + 11*c. Factor r(k).
-2*k**2*(k - 1)*(k + 1)**2/5
Let i(x) be the third derivative of 1/270*x**5 - 6*x**2 + 2/27*x**3 - 1/36*x**4 + 0 + 0*x. Factor i(c).
2*(c - 2)*(c - 1)/9
Determine w, given that 0 + 39/5*w**2 - 18/5*w - 24/5*w**3 + 3/5*w**4 = 0.
0, 1, 6
Let i(k) = k**4 - k**3 + k**2 + k. Let b(q) = 21*q**5 + 42*q**4 - 51*q**3 + 3*q**2 + 15*q. Let u(j) = b(j) - 15*i(j). Suppose u(h) = 0. What is h?
-2, -2/7, 0, 1
Factor -7*k**3 - 12*k**3 - 6*k**3 - 3*k + 29*k**3 - 1.
(k - 1)*(2*k + 1)**2
Let f(b) be the first derivative of -2*b**5/5 - 3*b**4/2 - 2*b**3 - b**2 - 1. Solve f(l) = 0.
-1, 0
Suppose -2*y - 3*y + 23 = 3*d, 0 = -y - d + 5. Suppose y*j = -j. Find a such that j - 4/9*a - 2/9*a**2 = 0.
-2, 0
Determine l, given that 2 - 18*l**2 + 15*l**2 + 9*l**3 + 6*l**2 + 3*l**4 - 9*l - 8 = 0.
-2, -1, 1
Let p(k) = 13*k**3 + 16*k**2 + 7*k. Let r(n) = 3*n**3 + 4*n**2 + 2*n. Let x(j) = 2*p(j) - 9*r(j). What is d in x(d) = 0?
-2, 0
Let f(c) = 5*c**2 + 2*c + 11. Let z(d) = 2*d**2 + d + 5. Let i = 14 + -8. Suppose o + 3*j = -11, -5*o - 65 = 2*j + 3*j. Let s(t) = i*f(t) + o*z(t). Factor s(k).
2*(k - 2)*(k + 1)
Let p(n) be the first derivative of 3/4*n + 3/8*n**4 - 1/2*n**3 + 3/20*n**5 - 3/8*n**2 + 4 - 1/8*n**6. Solve p(k) = 0 for k.
-1, 1
Let s be -1 - (36/3)/(-3). Suppose 