 derivative of z**3/5 - 6*z**2/5 + 12*z/5 + 4. Factor g(v).
3*(v - 2)**2/5
Let h(u) = 5*u**3 - 10*u**2 - 4*u. Let s(z) = -70*z**3 + 140*z**2 + 55*z. Let o(w) = 55*h(w) + 4*s(w). Suppose o(v) = 0. Calculate v.
0, 2
Let f(o) be the first derivative of o**6/66 - o**5/11 + 2*o**4/11 - 4*o**3/33 + 56. Factor f(a).
a**2*(a - 2)**2*(a - 1)/11
Let t = 3 - -2. Suppose -p = -t*p + 8. What is g in g**p + 2/3 - 7/3*g = 0?
1/3, 2
Let w(p) = p**2 - 48*p + 554. Let t be w(29). Let -5/3*a**2 + 1/3*a**t - a**5 + 5/3*a**4 + 0 + 2/3*a = 0. Calculate a.
-1, 0, 2/3, 1
Let o(f) be the third derivative of -f**7/70 - 3*f**6/40 - 3*f**5/20 - f**4/8 - 30*f**2. Find l, given that o(l) = 0.
-1, 0
Let r be (-2)/(-2) + -13 + 16. Let l(j) be the first derivative of -1/5*j**2 - 7/20*j**r + 0*j - 1 - 3/5*j**3. Factor l(d).
-d*(d + 1)*(7*d + 2)/5
Suppose -3*b + 0*b - 15 = 0. Let v(x) = -x - 3. Let u be v(b). Let -6/7*w**3 - 4/7 - u*w - 16/7*w**2 = 0. What is w?
-1, -2/3
Let -18*b + 11/2*b**3 - 1/2*b**5 + 6*b**2 + 0 - b**4 = 0. What is b?
-3, 0, 2
Let b(z) = -4*z**2 + 3*z - 7. Let o(d) = d**2 - d + 2. Let r(l) = -2*b(l) - 7*o(l). Let w be r(1). Let 2*g**2 + 0*g**3 - 2*g**3 + 0*g**w = 0. Calculate g.
0, 1
Let v be (2 + -1)*3 - 1. Find k, given that 10*k - 7*k**v - 16 - 74*k - 21*k**2 = 0.
-2, -2/7
Suppose 2*c - 8 + 0 = 0. Let l = 88 + -85. Factor 0 + 4/9*s**2 - 4/9*s**c - 2/9*s**5 + 0*s**l + 2/9*s.
-2*s*(s - 1)*(s + 1)**3/9
Let w be 9 + 1*(2 + -3). Suppose -5*j - w + 28 = 0. Solve 1/3*t**2 - 1/3*t**j + 1/3*t + 0 - 1/3*t**3 = 0.
-1, 0, 1
Suppose 0*x - x = 8. Let l = 22 + x. What is j in l + 7*j + 2*j**2 - 6 + j = 0?
-2
Let d = -297 - -299. Solve 12/5*l**3 + 3/5*l + 0 + 3*l**d = 0 for l.
-1, -1/4, 0
Let s(k) be the third derivative of 0*k - 2*k**2 + 1/20*k**5 + 0 + 0*k**3 - 1/8*k**4. Find d, given that s(d) = 0.
0, 1
Let h = -17 - -22. Let q(x) be the third derivative of 1/60*x**6 - 4*x**2 + 0*x - 1/12*x**4 + 0*x**3 + 0 + 0*x**h. Factor q(g).
2*g*(g - 1)*(g + 1)
Factor 0 + 2/9*b**2 + 4/9*b.
2*b*(b + 2)/9
Factor 5/2*b**3 - 15/4*b - 15/4*b**4 + 5/4 + 5/2*b**2 + 5/4*b**5.
5*(b - 1)**4*(b + 1)/4
Let t(i) = -i**4 + i**3. Let p(k) = -4*k**5 + k**4 + 19*k**3 + 56*k**2 + 44*k + 12. Let c(r) = p(r) + 5*t(r). Factor c(w).
-4*(w - 3)*(w + 1)**4
Let v be 2*1 - (-2 - -2). Let d(i) be the third derivative of 1/12*i**4 - 2*i**v + 0*i - 1/60*i**6 + 0*i**5 + 0 + 0*i**3. Factor d(r).
-2*r*(r - 1)*(r + 1)
Let f(p) be the second derivative of -1/8*p**2 + 5*p + 1/80*p**5 - 1/24*p**3 + 0 + 1/48*p**4. Factor f(q).
(q - 1)*(q + 1)**2/4
Let y be (-4)/(-8) - (-2)/(-4). Let s(w) = -w - 3. Let n be s(-6). Factor 0*c**2 - 2/7*c + 2/7*c**n + y.
2*c*(c - 1)*(c + 1)/7
Let j(h) be the first derivative of -h**3/3 - 2*h**2 - 4*h + 4. Find w, given that j(w) = 0.
-2
Let q(p) be the first derivative of -p**4/42 - 2*p**3/7 - 9*p**2/7 + p - 5. Let h(r) be the first derivative of q(r). Factor h(n).
-2*(n + 3)**2/7
Suppose 2*x = -x + 2*k + 6, 2*k = 4*x - 10. Suppose -2*w + 4 = 2*a - 3*w, -a = x*w - 2. Factor v**2 + v - 4*v**2 - v**5 + 2*v**4 + 5*v**2 - 4*v**a.
-v*(v - 1)**3*(v + 1)
Let n = 420/2561 + -2/197. Factor 0 + 0*l**2 + 6/13*l**4 + 0*l + n*l**5 + 4/13*l**3.
2*l**3*(l + 1)*(l + 2)/13
Let b(t) be the second derivative of -t**6/30 + 3*t**5/20 - t**4/4 + t**3/6 + 9*t. Factor b(i).
-i*(i - 1)**3
Let s(g) be the second derivative of -g**7/70 + 2*g**6/75 + g**5/25 - g**4/10 - g**3/30 + g**2/5 + 22*g. Let s(q) = 0. What is q?
-1, -2/3, 1
Let i be (-1 + 3)/(4/14). Factor -2*f**3 + 0*f**3 + 3*f**2 + 2*f + 2*f**2 - i*f**4 + 2*f**2.
-f*(f - 1)*(f + 1)*(7*f + 2)
Let q(c) be the second derivative of -c**6/900 + c**5/300 + c**3/3 + c. Let k(b) be the second derivative of q(b). Find r such that k(r) = 0.
0, 1
Let g(y) be the third derivative of y**8/588 + 2*y**7/245 + y**6/70 + y**5/105 - 2*y**2. Determine x so that g(x) = 0.
-1, 0
Let v be 7/((-910)/(-20)) + 2/(-13). Determine k so that v + 2/7*k - 2/7*k**2 = 0.
0, 1
Determine h, given that 0*h + 2/3*h**3 + 2*h**2 + 0 = 0.
-3, 0
Let k be ((-3)/(-6) - (-5)/(-30))/1. Let o be 2 + (1/(-3) - 1). Factor j + k*j**2 + o.
(j + 1)*(j + 2)/3
Let c(b) be the second derivative of b**8/336 + b**7/105 - b**5/30 - b**4/24 + b**2 - b. Let x(p) be the first derivative of c(p). Factor x(w).
w*(w - 1)*(w + 1)**3
Suppose 39*x = 34*x + 35. Let g(a) be the third derivative of 0*a**3 - 1/84*a**4 + 0 - 1/140*a**6 - 1/70*a**5 - a**2 + 0*a - 1/735*a**x. Factor g(f).
-2*f*(f + 1)**3/7
Suppose 32 = -s + 5*s. Let d(w) = -w + 10. Let p be d(s). Factor -2/7*k**3 + 2/7 - 2/7*k**p + 2/7*k.
-2*(k - 1)*(k + 1)**2/7
Let h(a) = -2*a**4 + 4*a**2 - 2. Let r(l) = -l**3 - 1. Let s(z) = 2*h(z) - 4*r(z). Find q, given that s(q) = 0.
-1, 0, 2
Let k be (1 - -3 - 0) + 7 + -6. Factor 6/5*s**3 + 0 - 3/5*s**4 + 0*s + 0*s**2 - 3/5*s**k.
-3*s**3*(s - 1)*(s + 2)/5
Let r(u) = 2*u**2 + 2*u - 2. Let l(m) = 4*m - 1 + 0*m + m**3 - 3*m. Let p(o) = -2*l(o) + r(o). Factor p(n).
-2*n**2*(n - 1)
Suppose -c - 57 - 23 = 0. Let z be c/(-24) - (-2)/3. Let u**3 + 0 - 5/2*u**z + 5/2*u**2 - u = 0. What is u?
-1, 0, 2/5, 1
Let w(m) be the third derivative of m**11/166320 - m**9/30240 - m**5/30 + 2*m**2. Let t(i) be the third derivative of w(i). Factor t(f).
2*f**3*(f - 1)*(f + 1)
Let i(j) = 2*j + 3 - 3*j + 9 - 5. Let m be i(3). Let 5*s + 21/4*s**2 - 5*s**3 - 25/4*s**m + 1 = 0. What is s?
-1, -2/5, 1
Let i(f) be the second derivative of -3*f - 1/30*f**3 - 1/60*f**4 + 0*f**2 + 0. Factor i(l).
-l*(l + 1)/5
Let i(n) be the third derivative of n**10/50400 + n**9/8640 + n**8/10080 + n**5/30 - 6*n**2. Let j(z) be the third derivative of i(z). Factor j(p).
p**2*(p + 2)*(3*p + 1)
Let q(k) be the first derivative of 6*k**5/5 - 9*k**4/4 + k**3 + 2. What is l in q(l) = 0?
0, 1/2, 1
Let c(y) be the first derivative of y**5/140 + y + 6. Let t(a) be the first derivative of c(a). What is r in t(r) = 0?
0
Suppose 194*p**2 + p - 193*p**2 + 0*p = 0. What is p?
-1, 0
Let u(d) = -d**3 + 6*d**2 + 10*d - 19. Let g be u(7). Let n(h) be the first derivative of -h**3 + 6*h - 3/2*h**g - 3. Solve n(o) = 0.
-2, 1
Let y(r) be the first derivative of 32*r**5/15 - 68*r**4/3 + 214*r**3/3 - 136*r**2/3 + 32*r/3 + 1. Factor y(c).
2*(c - 4)**2*(4*c - 1)**2/3
Suppose 6 = -2*x + 12. Find p such that -2*p**5 - 6*p + 3 + 8*p**x - 4*p**2 + 3 - 2 = 0.
-2, -1, 1
Determine r, given that -12/5*r**2 + 0*r**3 + 3/5*r**4 + 0*r + 0 = 0.
-2, 0, 2
Let i(x) = 8*x**3 + 11*x**2 - 51*x + 32. Let n(k) = 4*k**3 + 5*k**2 - 25*k + 16. Let w(p) = -3*i(p) + 5*n(p). Factor w(g).
-4*(g - 1)**2*(g + 4)
What is m in -7*m**4 + 2*m**4 + 5*m**4 - 3*m**3 + 3*m**4 = 0?
0, 1
Let v(s) be the third derivative of 4/33*s**3 + 2*s**2 + 1/11*s**4 + 0 + 0*s + 1/1155*s**7 + 13/330*s**5 + 1/110*s**6. Find u, given that v(u) = 0.
-2, -1
Let o = 66 + -66. Let w(r) be the third derivative of o + 1/75*r**5 - 1/300*r**6 - 3*r**2 + 0*r - 1/60*r**4 + 0*r**3. Determine t so that w(t) = 0.
0, 1
Determine g so that -g**3 - 3*g**2 + 3*g**3 - 12 + 25*g**3 + 9*g**3 - 36*g + 15*g**4 = 0.
-2, -1, -2/5, 1
Let o be (-5 + (-155)/(-30))*2. What is w in 1/3*w**2 + 0 + 1/3*w**3 - o*w - 1/3*w**4 = 0?
-1, 0, 1
Let k(c) = -c**2 + 12*c - 6. Let v be k(9). Let b be 20/v - (-2)/(-7). Factor -4/3*p - b*p**2 - 2/3.
-2*(p + 1)**2/3
Let s = 326/5 - 65. Let k(g) be the first derivative of -1 + s*g**5 - 7/2*g**2 + 3*g**3 - 5/4*g**4 + 2*g. Find z, given that k(z) = 0.
1, 2
Let n(u) be the third derivative of -u**5/150 + u**4/60 + 6*u**2. Determine h so that n(h) = 0.
0, 1
Let g(a) = -a**3 - 6*a**2 + a + 4. Let k be g(-6). Let o be k/(8/(-6)) - 1. What is u in -o + 1/4*u**2 + 1/4*u = 0?
-2, 1
Suppose -i = -2*i - 6. Let o = -1 - i. Determine l so that 0*l**o - 3*l**4 + l**5 + 4*l**4 = 0.
-1, 0
Suppose 58*l - 16 = 54*l. Determine g, given that -1/2*g**5 - 2*g**l + 1 + 5/2*g + g**2 - 2*g**3 = 0.
-2, -1, 1
Let g be (4/(-10))/((-2)/10). What is p in -g*p**4 + p**2 + p**2 + 0*p**4 = 0?
-1, 0, 1
Let g(y) be the second derivative of -6*y**7/7 - 2*y**6 + 32*y**5/5 + 8*y**4 - 32*y**3 + 32*y**2 + 7*y. Let g(l) = 0. What is l?
-2, 2/3, 1
Let a be -3*((-88)/72 - (1 - 2)). Factor -2/3*m**3 - 2/3*m**2 + 2/3*m**4 + a*m + 0.
2*m*(m - 1)**2*(m + 1)/3
Let k be 16/104 - 74/(-26). Suppose 81 = k*y + 24. Factor -y*l**2 - 11*l**2 - 12*l**3 + 6 + 15*l**5 - 2*l + 11*l**4 + 13*l**