 - 23 + 8 = 0, k - 15 = 3*g. Factor 0*h + 1/3*h**3 - 1/3*h**2 + k.
h**2*(h - 1)/3
Let x be 4/6*(17 - 14). Factor -2/5 + 2/5*z**x + 0*z.
2*(z - 1)*(z + 1)/5
Factor 10/17*q**2 + 2/17*q**4 - 4/17*q + 0 - 8/17*q**3.
2*q*(q - 2)*(q - 1)**2/17
Let f(c) be the first derivative of -2 + 12/5*c - 6/5*c**2 + 1/5*c**3. Find t, given that f(t) = 0.
2
Let t(n) be the first derivative of -4*n**3/21 + 4*n**2 - 28*n + 32. Find u, given that t(u) = 0.
7
Let y(r) be the first derivative of 5*r**6/6 - 3*r**5 + 20*r**3/3 - 14. Factor y(o).
5*o**2*(o - 2)**2*(o + 1)
Let d(y) be the first derivative of -6/35*y**5 - 7 - 4/21*y**3 - 5/14*y**4 + 0*y + 0*y**2. Factor d(b).
-2*b**2*(b + 1)*(3*b + 2)/7
Let n(l) be the first derivative of -l**4/9 + 2*l**3/27 - 4. Factor n(f).
-2*f**2*(2*f - 1)/9
Let f(t) be the second derivative of -t**5/30 - t**4/2 - 3*t**3 - 2*t**2 - 4*t. Let n(h) be the first derivative of f(h). Determine c so that n(c) = 0.
-3
Let c(o) be the third derivative of o**7/42 - o**6/8 - o**5/6 + 5*o**4/2 - 20*o**3/3 - 18*o**2. Factor c(l).
5*(l - 2)**2*(l - 1)*(l + 2)
Factor 20/9*a**2 + 4/9*a**3 + 16/9 + 32/9*a.
4*(a + 1)*(a + 2)**2/9
Let q(c) = -c + 6. Let g(l) = -l + 5. Let t(s) = 5*g(s) - 4*q(s). Let z(k) = 3*k**2 - 10*k + 7. Let i(f) = 4*t(f) - z(f). What is o in i(o) = 0?
1
Let y(u) = u + 1. Let j be y(-6). Let h(g) = -g**3 - 3*g**2 + 7*g + 4. Let l be h(j). Factor 7*s - l*s - s**2 + 1 - 13 - 2*s**2.
-3*(s + 2)**2
Let k(w) be the second derivative of -w**6/120 + w**5/5 - 2*w**4 - w**3 + 9*w. Let q(c) be the second derivative of k(c). Let q(t) = 0. What is t?
4
Let c be 4/22 + (-160)/(-88). Factor z**3 - 8*z**2 - 4*z**3 + c*z**2.
-3*z**2*(z + 2)
Let g be (-9)/12 + 27/4. What is k in 3*k**5 + 6 - g*k**4 + k**2 + 5*k**2 - 3*k - 6 = 0?
-1, 0, 1
Let o be 13/12 - (7 - 10)/12. Let z(l) be the first derivative of o*l + 1/3*l**2 + 3 - 2/9*l**3. Factor z(v).
-2*(v - 2)*(v + 1)/3
Let d be 3 + (-45)/10 - (-4 - -1). Factor -4*j**3 - d*j**4 - 2*j**2 + 0 + 0*j.
-j**2*(j + 2)*(3*j + 2)/2
Let t(d) be the first derivative of 2*d - 4*d**2 - 2*d**4 + 2/5*d**5 + 2 + 4*d**3. Determine j, given that t(j) = 0.
1
Let l(j) be the second derivative of -j**6/360 + j**5/60 - j**3/6 + 2*j. Let g(t) be the second derivative of l(t). Factor g(i).
-i*(i - 2)
Let p(t) be the second derivative of -13*t**4/12 + 14*t**3/3 - 2*t**2 - 4*t + 3. Find n such that p(n) = 0.
2/13, 2
Suppose 8 = 4*p, 4*p + 24 = -0*n + 4*n. Let l be -3 + n/(-20)*-8. Find k such that -l*k**2 - 2/5*k + 3/5 = 0.
-3, 1
Suppose -47*n**3 - 12*n + 2 - 7*n - n**5 + 36*n**2 + 20*n**2 + 17*n**5 - 8*n**4 = 0. Calculate n.
-2, 1/4, 1
Let m(q) = q**5 + 4*q**4 + q**3 - 5*q**2 + q + 4. Let d(n) = -4*n**5 - 15*n**4 - 3*n**3 + 19*n**2 - 4*n - 15. Let s(z) = 6*d(z) + 22*m(z). Factor s(v).
-2*(v - 1)**2*(v + 1)**3
Let q(v) be the third derivative of -7*v**6/40 - 9*v**5/20 - v**4/4 - 9*v**2. Find p, given that q(p) = 0.
-1, -2/7, 0
Let m(i) be the third derivative of 0*i + 5*i**2 - 1/48*i**4 + 1/240*i**6 + 1/12*i**3 - 1/120*i**5 + 0. Factor m(h).
(h - 1)**2*(h + 1)/2
Let g = 15 - 15. Solve u**3 + g*u**3 + 2*u**3 - 9*u + 5 + 1 = 0 for u.
-2, 1
Let m(j) = j**2 + 5*j + 3. Let s be m(-5). Factor -s*r**5 + 0*r**3 - r**2 + 2*r**3 + r**5 + 2*r**4 - r**2.
-2*r**2*(r - 1)**2*(r + 1)
Let k(r) = -r**3 + 5*r**2 + r. Let l be k(5). Factor -l*p**2 + 2*p - 1 + p**2 + 2*p**2 + p**2.
-(p - 1)**2
Let y(h) be the third derivative of -h**5/60 - 5*h**4/24 - 2*h**3/3 + 18*h**2. What is j in y(j) = 0?
-4, -1
Let j(t) be the second derivative of t**7/8820 - t**6/2520 - t**4/4 - 5*t. Let r(f) be the third derivative of j(f). Let r(c) = 0. What is c?
0, 1
Let v(k) be the second derivative of k**7/3780 - k**5/180 - k**4/54 - k**3/2 + 4*k. Let s(a) be the second derivative of v(a). Determine r, given that s(r) = 0.
-1, 2
Suppose 6*b - 3*b - 6 = 0. Factor 2*z - 4*z**b + 4*z**2 + 2*z**2.
2*z*(z + 1)
Suppose 0 = 2*b - b - 2. Factor -7 - 2*q - 4*q**3 + q**4 + 5*q**b + 7.
q*(q - 2)*(q - 1)**2
Find x, given that 16/9*x + 4/9 - 79/9*x**2 - 91/9*x**3 = 0.
-1, -2/13, 2/7
Let r be 1/(-4) + (-21)/(-36). Determine b, given that 1/3*b**2 - r + 3/2*b - 3/2*b**3 = 0.
-1, 2/9, 1
Let x be 1 - -1 - 70/56. Let r(o) be the first derivative of 0*o + 2 + 1/3*o**3 + 0*o**2 - 1/6*o**6 + 3/5*o**5 - x*o**4. Factor r(c).
-c**2*(c - 1)**3
Let o(z) be the third derivative of z**8/336 - z**7/210 - z**6/120 + z**5/60 - 2*z**2. Determine n, given that o(n) = 0.
-1, 0, 1
Suppose 12 = -h - 5*n, -2*h - n - 8 = h. Let m be 2 + 0/(-1 + h). Let 2*l + l**4 + 2*l**2 - 4*l**4 + l**4 - m*l**3 = 0. Calculate l.
-1, 0, 1
Let d(z) be the second derivative of 6*z + 1/20*z**5 + 0*z**2 + 0 - 1/12*z**4 + 0*z**3. Factor d(h).
h**2*(h - 1)
Let l(w) = 2*w**2 + 3*w. Let h be l(-2). Factor -4*d**2 - 46*d**4 + 26*d**4 - h*d**3 + 2*d + 24*d**4.
2*d*(d - 1)*(d + 1)*(2*d - 1)
Let a(q) be the first derivative of -7*q**5 - 75*q**4/2 - 145*q**3/3 - 15*q**2 - 4. Factor a(u).
-5*u*(u + 1)*(u + 3)*(7*u + 2)
Let d(j) = j**2 + 4*j. Let z(u) = -u**2. Let s(p) = -2*d(p) - 6*z(p). Solve s(v) = 0.
0, 2
Let r(b) = -8*b**4 + 8*b**3 + 4*b**2 - 4. Let j(k) = -8*k**4 + 7*k**3 + 3*k**2 - 3. Let l(a) = 4*j(a) - 3*r(a). Factor l(i).
-4*i**3*(2*i - 1)
Find g, given that -2*g + 9*g + 2*g**2 + g = 0.
-4, 0
Let p = -16 - -16. Let b(d) be the second derivative of -1/60*d**6 + 0*d**5 + 1/24*d**4 + p + 0*d**2 + 1/168*d**7 - 2*d - 1/24*d**3. Factor b(l).
l*(l - 1)**3*(l + 1)/4
Let k(m) be the first derivative of -4*m**5/15 + 4*m**3/9 + 9. Factor k(t).
-4*t**2*(t - 1)*(t + 1)/3
Let n(k) be the second derivative of k**4/4 - k**3 + 3*k**2/2 + 5*k. Solve n(m) = 0 for m.
1
Let l(c) be the third derivative of -c**8/1176 - 2*c**7/735 + c**6/140 + 4*c**2. Solve l(f) = 0.
-3, 0, 1
Let t(c) = 6*c**2 - 14. Let p(o) = 2*o**2 - 5. Let k(j) = 8*j**3 + j**2 + j. Let l be k(-1). Let r(d) = l*p(d) + 3*t(d). Factor r(q).
2*(q - 1)*(q + 1)
Factor 9 - 2*l**2 - 5*l**2 - 5 - l**2 + 4*l**4.
4*(l - 1)**2*(l + 1)**2
Let a(y) be the second derivative of -y**7/56 + 3*y**5/80 + y. Factor a(q).
-3*q**3*(q - 1)*(q + 1)/4
Let y(k) be the third derivative of 1/260*k**6 + 1/130*k**5 + 0*k + 1/1365*k**7 + 1/156*k**4 + 4*k**2 + 0*k**3 + 0. Factor y(v).
2*v*(v + 1)**3/13
Let y(n) be the first derivative of 1/42*n**4 - 3 + 2/21*n**3 + 1/7*n**2 - 2*n. Let c(j) be the first derivative of y(j). Factor c(b).
2*(b + 1)**2/7
Let q(b) be the third derivative of -b**10/90720 + b**9/60480 + b**8/30240 + 7*b**5/60 - b**2. Let u(w) be the third derivative of q(w). Factor u(c).
-c**2*(c - 1)*(5*c + 2)/3
Let z(t) be the first derivative of 1/10*t**5 - t + 7 - 3/4*t**2 + 1/6*t**3 + 3/8*t**4. Suppose z(k) = 0. Calculate k.
-2, -1, 1
Let d(x) = -x**5 - x**4 + x**3 + x**2 + 4*x. Let u(w) = -w**5 - w**4 + w**3 + w**2 + 7*w. Let b(v) = -7*d(v) + 4*u(v). Factor b(a).
3*a**2*(a - 1)*(a + 1)**2
Let o(g) be the third derivative of 1/105*g**5 + 0 + 1/147*g**7 + 0*g**3 + 0*g**4 + 3*g**2 + 0*g - 1/60*g**6. Find p, given that o(p) = 0.
0, 2/5, 1
Let o(x) = 8*x**3 - 12*x**2 - 23*x. Let v(h) = h**3. Let n(k) = o(k) + 3*v(k). Let c(q) = 2*q**3 - 2*q**2 - 4*q. Let s(j) = 34*c(j) - 6*n(j). Factor s(d).
2*d*(d + 1)**2
Let r(j) be the third derivative of -j**8/7560 - j**7/1890 + j**5/270 + j**4/108 - j**3/2 + 3*j**2. Let x(u) be the first derivative of r(u). Factor x(m).
-2*(m - 1)*(m + 1)**3/9
Let j(n) be the first derivative of -1 + 2/3*n**3 + 0*n**2 - 2*n. Factor j(z).
2*(z - 1)*(z + 1)
Factor 3*f + 4*f**3 - 5*f + 4 - 2*f - 4*f**2.
4*(f - 1)**2*(f + 1)
Let m(j) = 4*j**4 + 13*j**3 + 3*j**2 - 13*j - 7. Let y(i) = 2*i + 3*i**4 + 2*i**2 - 5 + 9*i**3 + 2*i - 13*i. Let p(n) = -5*m(n) + 7*y(n). Factor p(g).
g*(g - 2)*(g - 1)*(g + 1)
Factor -i**5 - 2*i**3 - 3*i**5 + 3*i**5 + 4*i**4 - 7*i**4.
-i**3*(i + 1)*(i + 2)
Let r be (-2)/((15 - 17)/(3 - -1)). Suppose 2/11*d**2 - 2/11*d**r + 0 + 0*d + 0*d**3 = 0. What is d?
-1, 0, 1
Suppose 4 = -11*w + 26. Factor -2/7*l**4 - 18/7*l**w - 4/7 - 10/7*l**3 - 2*l.
-2*(l + 1)**3*(l + 2)/7
Determine a so that 31*a**5 - 120*a**3 + 85*a**4 + 65*a**2 + 36*a**5 - 87*a**5 - 10*a = 0.
0, 1/4, 1, 2
Suppose u**3 - u**2 + 1/2*u**4 - 1/2*u**5 + 1/2 - 1/2*u = 0. What is u?
-1, 1
Suppose -2*j + o + 6 = -3*o, 3*o = 0. Suppose r = j*r. Let -y**2 + 0 + r*y**3 + 1/2*y - 1/2*y**5 + y**4 = 0. Calculate