 derivative of -t*d**2 + 0*d + 2/33*d**3 - 2. Find p such that g(p) = 0.
0, 1
Suppose -5*d = -3*l - 265, 3*l - 115 = -5*d + 120. Let w be 5/(d/35) - 2. Factor w*k - 3/2*k**2 + 0 - 3/2*k**3 + 3/2*k**4.
3*k*(k - 1)**2*(k + 1)/2
Let s = -33 + 36. Factor 8/5*w + 0 + 8/5*w**2 + 2/5*w**s.
2*w*(w + 2)**2/5
Let c(q) be the first derivative of 2*q**5/65 + q**4/13 - 2*q**3/39 - 2*q**2/13 + 11. What is u in c(u) = 0?
-2, -1, 0, 1
Let d be -1*(-1)/(-6)*-2. Let 0*f**2 - 2/3*f**3 + 0*f + 0 + d*f**4 = 0. What is f?
0, 2
Let m be 6/21*30/(-20)*-1. Factor -m*g**5 - 36/7*g**2 - 39/7*g**3 + 0 - 12/7*g - 18/7*g**4.
-3*g*(g + 1)**2*(g + 2)**2/7
Let -2*t**3 + 5*t - 4*t**2 + 4*t - 11*t = 0. Calculate t.
-1, 0
Let l(h) = -8*h**2 - 4. Let t(r) = -7*r**2 - 3. Let o be (-63)/12 + (-1)/(-4). Let n(w) = o*l(w) + 6*t(w). What is x in n(x) = 0?
-1, 1
Let v = 143/1890 - 1/54. Let n(g) be the second derivative of 0 + 0*g**2 - 5/42*g**4 - 1/105*g**6 + g - v*g**5 - 2/21*g**3. Determine t, given that n(t) = 0.
-2, -1, 0
Let l(g) be the first derivative of -2*g + 2/3*g**3 - 2 + 0*g**2. Factor l(k).
2*(k - 1)*(k + 1)
Let r(h) be the second derivative of -h**6/1980 - h**5/165 - h**4/33 - 4*h**3/3 - h. Let g(f) be the second derivative of r(f). Determine u so that g(u) = 0.
-2
Let m(q) be the third derivative of 0*q + 3/20*q**5 + 2*q**2 + 3/8*q**4 + 0 + 1/2*q**3 + 1/40*q**6. Find f, given that m(f) = 0.
-1
Suppose -5*d + 23 = -p, 21 = 3*d + 6. Let u = 4 - p. Solve u*g - 4/5 - 6/5*g**2 - 2/5*g**3 + 2/5*g**4 = 0 for g.
-2, 1
Determine c, given that -3/5*c**3 + 0 - 3/5*c + 6/5*c**2 = 0.
0, 1
Let q = -37 - -39. Find o, given that 2/7*o**q + 0*o - 2/7 = 0.
-1, 1
Factor 1/5*p**3 + 0*p**2 + 0 + 0*p.
p**3/5
Let y(u) be the first derivative of u**4/4 + 4*u**3/3 - 3*u**2 - 5*u + 5. Let n be y(-5). Suppose 0 + 2/5*f**3 + 0*f**2 + 2/5*f**4 + n*f = 0. Calculate f.
-1, 0
Let r(i) be the third derivative of i**6/120 - 21*i**5/20 + 441*i**4/8 - 3087*i**3/2 + 10*i**2. Factor r(v).
(v - 21)**3
Let a = 195575/63 - 20630/7. Let p = a - 157. Factor -2/3*k - 4/9 - p*k**2.
-2*(k + 1)*(k + 2)/9
Solve 0 - 2*u**2 + 3/2*u - 7/2*u**3 = 0 for u.
-1, 0, 3/7
Let o be -4 + (3 - 3 - -4 - -5). Factor 9/5*l**4 + 6/5*l**3 - 9/5*l - 6/5*l**2 + 3/5*l**o - 3/5.
3*(l - 1)*(l + 1)**4/5
Let s(i) = -i**3 - i - 1. Let n(o) = -8*o**3 - 12*o**2 - 24*o - 6. Let d(u) = 2*n(u) - 12*s(u). Find l, given that d(l) = 0.
-3, 0
Let w(h) = 3*h**2 - 22*h - 14. Let i be w(8). Determine o so that -1/2 - 1/2*o**i + o = 0.
1
Let a(w) be the second derivative of w**7/21 + w**6/15 - w**5/10 - w**4/6 - 11*w. Find z, given that a(z) = 0.
-1, 0, 1
Let b be (2/(-6))/((-1)/3). Factor -14*a - 21*a**2 - 6*a**2 - 1 - b - 9*a**2 - 6*a**5 - 44*a**3 - 26*a**4.
-2*(a + 1)**4*(3*a + 1)
Suppose -3*c + 2*c = 5*c. Factor 0*p + 1/3*p**3 + c + 0*p**2.
p**3/3
Suppose 40*a**2 + 4 + 42*a**3 - 17*a - 58*a**3 - 2 = 0. What is a?
1/4, 2
Let k(y) = -y**2 + 6*y - 8. Let w be k(4). Let b(c) be the second derivative of 1/9*c**3 + 0*c**2 - 1/60*c**5 - c - 1/36*c**4 + w. What is u in b(u) = 0?
-2, 0, 1
Let x(i) be the second derivative of 0*i**5 + 0 + 1/33*i**3 + 0*i**2 + 2/165*i**6 - 1/231*i**7 - i - 1/33*i**4. Factor x(a).
-2*a*(a - 1)**3*(a + 1)/11
Let b = -8 + 9. Let i(p) be the first derivative of 0*p + 0*p**2 + 8/3*p**6 - 1/3*p**3 - 8/5*p**5 + b - 7/4*p**4. Factor i(h).
h**2*(h - 1)*(4*h + 1)**2
What is j in 2/3*j - 2/3*j**3 + 0*j**2 + 0 = 0?
-1, 0, 1
Let v = 256 - 252. Solve -8/3*t**3 + 3*t**5 - t**v + 0 + 0*t + 4/3*t**2 = 0 for t.
-1, 0, 2/3
Find x, given that -591*x**2 + 12*x + 7 + 11 + 593*x**2 = 0.
-3
Suppose -3*j + j = 0. Let g = 3 - j. Factor -4*x**3 + x**g + 3*x**3 + x**5.
x**5
Let w(q) be the first derivative of 3*q**4/20 - 2*q**3/5 - 2. Factor w(i).
3*i**2*(i - 2)/5
Let q be (-2 - 8/(-3)) + (-8)/(-6). Let v(u) be the first derivative of -q*u + 2*u**2 + 2/5*u**5 - 2 - u**4 + 0*u**3. Factor v(h).
2*(h - 1)**3*(h + 1)
Let u(g) be the second derivative of g**6/1260 - g**5/420 - g**4/42 - g**3/2 - 6*g. Let k(c) be the second derivative of u(c). Factor k(s).
2*(s - 2)*(s + 1)/7
Determine u, given that 3*u**2 - 44 + 71 + 11*u + 19*u = 0.
-9, -1
Suppose -2*u = r - 0*u + 14, 5*r + 56 = -3*u. Let o be (12/r)/((-6)/20). What is l in -5*l**5 - 4*l**2 + 21/5*l**3 + 0 + o*l**4 + 4/5*l = 0?
-1, 0, 2/5, 1
Let t(y) be the first derivative of -y**9/1728 - y**8/560 - y**7/1120 + y**6/720 + 2*y**3/3 + 1. Let s(f) be the third derivative of t(f). Factor s(m).
-m**2*(m + 1)**2*(7*m - 2)/4
Let k(z) be the third derivative of -z**8/1008 + z**6/180 - z**4/72 + 8*z**2. Solve k(f) = 0 for f.
-1, 0, 1
Let m(a) be the third derivative of a**8/2184 - 2*a**7/1365 + a**5/195 - a**4/156 - 4*a**2. Factor m(u).
2*u*(u - 1)**3*(u + 1)/13
Let p(j) be the second derivative of j**6/45 + j**5/40 - 5*j**4/72 - j**3/12 + j**2/12 + 13*j. Solve p(s) = 0 for s.
-1, 1/4, 1
Let w(l) = 2*l**3 + 6*l**2 + 4*l - 2. Let c(k) = -2*k**3 - 7*k**2 - 5*k + 3. Suppose 0 = -2*z - 2*z - 12. Let x(u) = z*w(u) - 2*c(u). Factor x(j).
-2*j*(j + 1)**2
Let o = 158 - 473/3. Factor 1/3*s**3 + o*s + 2/3*s**2 + 0.
s*(s + 1)**2/3
Let a(o) be the second derivative of 9/40*o**5 + 0 - 3/2*o**2 - 2*o + 1/2*o**4 - 1/4*o**3. Factor a(n).
3*(n + 1)**2*(3*n - 2)/2
Let g(c) be the third derivative of -c**6/960 + c**5/160 + 3*c**4/64 + 5*c**3/48 - 3*c**2. Let g(q) = 0. What is q?
-1, 5
Suppose 10*r = 4*r - r. Suppose r + 5/3*c**2 - 2/3*c - 4/3*c**3 + 1/3*c**4 = 0. What is c?
0, 1, 2
Let w(h) be the first derivative of -3*h**4/16 - h**3/2 - 11. Factor w(y).
-3*y**2*(y + 2)/4
Let o = -3 + 8. Let y(m) = m**2 - 5*m + 2. Let w be y(o). Solve 1/2 + 1/2*f**w + f = 0.
-1
Let z(d) be the first derivative of -d**3 - 9*d**2/2 - 6*d + 11. Factor z(g).
-3*(g + 1)*(g + 2)
Let i(p) be the third derivative of p**8/13440 + p**7/5040 + 5*p**4/24 + 4*p**2. Let y(v) be the second derivative of i(v). Factor y(x).
x**2*(x + 1)/2
Determine m so that 2*m**2 + 39*m - 33*m - 1 + 3 + 2 = 0.
-2, -1
Factor -3*u**3 - 2*u**3 + 9*u**2 + 6*u**2 - 10*u.
-5*u*(u - 2)*(u - 1)
Let z(i) be the second derivative of i**8/3360 - i**7/1260 - i**6/360 + i**5/60 + i**4/6 + 2*i. Let c(r) be the third derivative of z(r). Factor c(w).
2*(w - 1)**2*(w + 1)
Let q(r) be the third derivative of -r**5/60 - 5*r**4/24 - 16*r**2. Factor q(y).
-y*(y + 5)
Let v(l) be the third derivative of -l**7/70 + l**6/10 - 2*l**4 + 8*l**3 - 5*l**2. Determine z so that v(z) = 0.
-2, 2
Let h(r) = -r**3 - 5*r**2 - 3*r + 4. Let q be h(-4). Let i be (-8)/2*(-8)/16. Solve 6*j**2 - 4*j**i + 2*j + q*j**2 = 0 for j.
-1, 0
Let o(u) be the second derivative of -1/5*u**5 + 1/15*u**6 + 0 + 0*u**4 - u**2 - 10*u + 2/3*u**3. Factor o(g).
2*(g - 1)**3*(g + 1)
Let l be (-15)/(-6) - (-10)/(-4). Solve 3/2*o - 3/2*o**2 + l = 0 for o.
0, 1
Let k(f) be the first derivative of 0*f + 1/4*f**4 - f**2 + f**3 + 1/6*f**6 - 3/5*f**5 - 2. Solve k(y) = 0 for y.
-1, 0, 1, 2
Factor 6*t**4 + 0 + 50*t**2 + 2/5*t**5 + 30*t**3 + 0*t.
2*t**2*(t + 5)**3/5
Suppose 0 = -3*a + 8 + 1. Solve 5*z**3 + 5*z - 1 - z**a - 2*z - 6*z**2 + z - z**4 = 0 for z.
1
Let a(h) be the second derivative of -h**4/60 - 4*h**3/15 - 7*h**2/10 + 18*h. Factor a(t).
-(t + 1)*(t + 7)/5
Solve -2/5*a - 1/5 + 1/5*a**2 + 2/5*a**3 = 0.
-1, -1/2, 1
Factor -6/5*k - 2/5*k**2 + 2/5*k**4 + 6/5*k**3 + 0.
2*k*(k - 1)*(k + 1)*(k + 3)/5
Let -j**2 - 19*j**4 - 8*j**5 + 8*j**3 + 7*j**4 - 4 + 3*j**2 + 14*j**2 = 0. What is j?
-1, 1/2, 1
Let i(o) be the second derivative of o**4/4 - 3*o**2/2 - 7*o. Suppose i(a) = 0. What is a?
-1, 1
Let k = -35/36 + 11/9. Factor -1/4*l + k*l**5 + 0 - 1/2*l**2 + 1/2*l**4 + 0*l**3.
l*(l - 1)*(l + 1)**3/4
Let d be 50/20 - 1*2. Suppose -3*q + 0*q + 9 = 0. Factor -1/2*c - d*c**q - c**2 + 0.
-c*(c + 1)**2/2
Let x(t) = 3*t**5 + 6*t**4 - 7*t**3 + 2*t**2 - 4. Let m(k) = k**4 - k**3 + k**2 - 1. Let o(q) = 4*m(q) - x(q). Find w, given that o(w) = 0.
-1, -2/3, 0, 1
Let j(d) = d**2 - 2*d + 2. Let f(x) = 4*x**2 - 7*x + 7. Let i = 16 - 22. Let p(b) = i*f(b) + 21*j(b). Factor p(m).
-3*m**2
Let s(v) be the first derivative of -3*v**4/4 - v**2 - v - 7. Let i be s(-1). Solve 0 - 3/2*u**i + 3/2*u**3 + 3/2*u**2 - 3/2*u = 0 for u.
-1, 0, 1
Determine x, given that 53*x - 21*x + 16 + 2*x**2 - 14*x**2 - 52*x**3 + 32*x - 16*x**4 = 0.
-2, -1/4, 1
Let l(z) be the third derivative of