e the third derivative of -1/70*i**7 + 0 + 0*i**5 + 0*i + 0*i**6 + 1/112*i**8 + i**2 + 0*i**4 + 0*i**o. Solve r(c) = 0 for c.
0, 1
Let u(j) be the first derivative of 0*j**3 + 0*j**4 + 0*j**2 - 8 - 1/5*j**5 + 0*j + 1/6*j**6. Find d, given that u(d) = 0.
0, 1
Let u(m) = m**2 + 7*m + 6. Let o be u(-6). Let r(d) be the first derivative of 0*d**2 + 1/27*d**6 + 1/6*d**4 + 2/27*d**3 + o*d + 2/15*d**5 + 1. Factor r(a).
2*a**2*(a + 1)**3/9
Let l be (-172)/(-42) - (-6)/(-63). Solve -1 + 2*q + 1/4*q**l + 1/4*q**5 - 1/4*q**2 - 5/4*q**3 = 0 for q.
-2, 1
Suppose 0 = -2*v - 150 + 154. Factor 2/5*l**v + 4/5*l + 2/5.
2*(l + 1)**2/5
Find x, given that -2/7*x**4 + 0*x**2 + 8/7*x**3 + 32/7 - 32/7*x = 0.
-2, 2
Let s(k) be the first derivative of -k**4/2 + 4. Solve s(m) = 0 for m.
0
Let o(w) be the first derivative of 0*w + 1/6*w**3 - 2 - 1/60*w**5 + w**2 + 0*w**4. Let g(z) be the second derivative of o(z). Factor g(t).
-(t - 1)*(t + 1)
Let n(k) be the second derivative of -k**7/84 - k**6/15 - 3*k**5/20 - k**4/6 - k**3/12 - 58*k. Solve n(j) = 0 for j.
-1, 0
Let m(q) be the second derivative of q**7/42 - q**6/30 - q**5/10 - 28*q. Let m(z) = 0. Calculate z.
-1, 0, 2
Suppose 26 = 3*z + 5. Factor 9*b**3 - 2*b**4 + 4*b**4 + 0*b**5 + z*b**2 + 3*b**4 + 2*b + b**5.
b*(b + 1)**3*(b + 2)
Let j = 3 - 6. Let k(u) = -3*u**3 + u - 5*u**4 - u**4 + 5*u. Let p(b) = -b**4 - b**2 + b. Let t(i) = j*p(i) + k(i). Suppose t(r) = 0. What is r?
-1, 0, 1
Let z be (46/(-69))/(10/(-6)). Let -2/5*t + 0 + z*t**2 = 0. What is t?
0, 1
Let y(z) be the second derivative of -z**4/3 + 28*z**3/3 - 98*z**2 - 19*z. Factor y(x).
-4*(x - 7)**2
Suppose 16 = -2*r - 4*q, -3*q + 4 = 2*r - 4*q. Determine g so that 0 - 2/5*g**3 + 0*g + r*g**2 = 0.
0
Let r(v) be the first derivative of -v**4/4 + v**3/3 + v**2/2 - v + 9. Solve r(f) = 0.
-1, 1
Determine i, given that 7/5*i + 6/5 - 3/5*i**2 = 0.
-2/3, 3
Let i(s) be the second derivative of 3*s - 1/21*s**7 + 0*s**4 + 0*s**3 + 0*s**2 + 0 + 1/10*s**5 + 0*s**6. Factor i(v).
-2*v**3*(v - 1)*(v + 1)
Let r be (12 + -11)*(-12)/(-2). Suppose r*p = 3*p. Factor 3/4*n**5 + p*n + 0 + 0*n**2 - 3/2*n**4 + 3/4*n**3.
3*n**3*(n - 1)**2/4
Let b(w) be the second derivative of -w**5/45 + 2*w**4/27 - 2*w**3/27 - 3*w. Factor b(q).
-4*q*(q - 1)**2/9
Let d(c) be the first derivative of -c**9/1008 - c**8/168 - c**7/70 - c**6/60 - c**5/120 + c**3 + 1. Let s(y) be the third derivative of d(y). Factor s(r).
-r*(r + 1)**3*(3*r + 1)
Let q(s) be the first derivative of -1/10*s**5 + 8 + 0*s - 5/6*s**3 + 1/2*s**4 + 1/2*s**2. Suppose q(k) = 0. What is k?
0, 1, 2
Let w be 2*12/32*40/165. Factor w*l**2 + 0*l + 0.
2*l**2/11
Let g(t) be the first derivative of 2*t**6/3 - 4*t**5 + 3*t**4 + 52*t**3/3 - 16*t**2 - 48*t - 11. Find u such that g(u) = 0.
-1, 2, 3
Let q(d) be the first derivative of -d**5/30 - d**4/4 - 2*d**3/3 + d**2 - 1. Let k(p) be the second derivative of q(p). What is r in k(r) = 0?
-2, -1
Let p = 1237/56 + -163/8. Factor 2/7*h**2 - p*h + 18/7.
2*(h - 3)**2/7
Let v(y) = -2*y**4 - 5*y**3 + 18*y**2 + 2*y - 10. Let k(q) = -q**4 - q**2 + q. Let d(w) = -3*k(w) - v(w). Let d(l) = 0. Calculate l.
-2, -1, 1
Let r(w) = -w**4 + w**3 + 1. Let z(p) = -5*p**4 + p**3 + p**2 + 3*p + 4. Let f(v) = 4*r(v) - z(v). Let f(d) = 0. What is d?
-3, -1, 0, 1
Find c, given that -1/2 + c**2 + 1/4*c - 3/4*c**3 = 0.
-2/3, 1
Suppose 28 - 8 = 2*w. Let i be (-6)/4 - (-13 + w). Let 3/2*x**5 - 3*x**3 + 0*x**4 + 0*x**2 + i*x + 0 = 0. What is x?
-1, 0, 1
Let n(k) = -k**3 + 6*k**2 + 8*k - 5. Let g be n(7). Factor -14*z**3 - 2*z**2 + 2*z**2 - 4*z**g.
-2*z**2*(7*z + 2)
Find l such that 8/7 - 24/7*l - 12/7*l**3 + 26/7*l**2 + 2/7*l**4 = 0.
1, 2
Let f(p) be the third derivative of p**7/90 + p**6/72 - 4*p**5/45 + p**4/18 - 9*p**2. Find b such that f(b) = 0.
-2, 0, 2/7, 1
Let l(h) be the second derivative of -h**7/4200 + h**6/1200 + h**5/100 - h**4/12 - 2*h. Let n(x) be the third derivative of l(x). Factor n(b).
-3*(b - 2)*(b + 1)/5
Let u = 27 - 24. Factor -k**3 + 6*k + k**u - 6*k**3 - 15*k**2 + 2*k**4 + 13*k**4.
3*k*(k - 1)*(k + 1)*(5*k - 2)
Let v(d) be the third derivative of 0 - 1/4*d**4 + 0*d**3 + 1/70*d**7 + 3*d**2 - 3/20*d**5 + 0*d + 0*d**6. Solve v(p) = 0.
-1, 0, 2
Let n(z) be the third derivative of -4*z**2 + 0*z - 2/27*z**3 + 0 - 1/270*z**5 + 1/36*z**4. Factor n(y).
-2*(y - 2)*(y - 1)/9
Let p(h) be the third derivative of h**6/900 + h**5/150 + h**4/90 - 5*h**2. Factor p(z).
2*z*(z + 1)*(z + 2)/15
Let k = 203/2480 + -3/155. Let v(u) be the first derivative of -1/6*u**3 - 1/8*u**2 + 0*u + 2 - k*u**4. Let v(g) = 0. Calculate g.
-1, 0
Suppose 12 = -c + 3*f + f, 3*c - 16 = -f. Factor r**4 + 3*r**3 - 7*r**c + 3*r**4.
-3*r**3*(r - 1)
Suppose -14 = 2*h - 20. Factor w**2 - w**2 + 5*w**2 - 4*w**h - 2*w + w**4.
w*(w - 2)*(w - 1)**2
Suppose -i + 3 = 4*m - 4*i, -4*m + i + 1 = 0. Determine d so that 0*d + 2/11*d**3 + 0*d**2 + m = 0.
0
Find d, given that 25*d**3 - 50*d**2 + 40 + 12*d**4 - 2*d**4 - 336*d**5 - 20*d + 331*d**5 = 0.
-2, -1, 1, 2
Suppose 3*g + g = 4. Suppose 6*p**3 + 3*p - g + 0*p**4 + 3*p**4 - 9*p - 2 = 0. What is p?
-1, 1
Let c(g) be the third derivative of -1/24*g**4 + 0 - 1/720*g**6 - 2*g**2 - 1/80*g**5 - 1/3*g**3 + 0*g. Let a(h) be the first derivative of c(h). Factor a(w).
-(w + 1)*(w + 2)/2
Let g(b) be the first derivative of -b**6/4 + 9*b**5/5 - 39*b**4/8 + 6*b**3 - 3*b**2 + 4. Suppose g(l) = 0. What is l?
0, 1, 2
Let o = 2/21 - -4/7. Factor 0*n + o*n**2 - 2/3.
2*(n - 1)*(n + 1)/3
Let r(n) be the first derivative of -2*n**3/3 - n**2 - 2. Factor r(c).
-2*c*(c + 1)
Let r be (-2)/8 + 39/12. Solve -6*o**2 - r + 0*o - 3 + 10*o + 10 = 0 for o.
-1/3, 2
Let k(v) be the first derivative of v**8/2352 + v**7/735 + v**6/840 + v**2 - 5. Let c(u) be the second derivative of k(u). Determine p, given that c(p) = 0.
-1, 0
Let j(f) = -6*f**5 + 18*f**4 - 30*f**3 + 22*f**2 - 4. Let m(l) = l**4 - l**2 - l + 1. Suppose -3*w - 3 = 9. Let q(h) = w*m(h) - j(h). Factor q(t).
2*t*(t - 1)**3*(3*t - 2)
Let m be (-30)/(-8) - (-4 - (-4 + -3)). Factor 0 + 3/4*a**5 - m*a - 3/2*a**2 + 3/2*a**4 + 0*a**3.
3*a*(a - 1)*(a + 1)**3/4
Let y = -55 - -59. Let a(l) be the first derivative of -1/4*l**2 - 1/10*l**5 + 1/8*l**y + 0*l + 2 + 1/6*l**3. Let a(o) = 0. What is o?
-1, 0, 1
Let h(m) be the first derivative of 3*m**4 + m**3 - 6*m**2 - 3*m + 17. Factor h(u).
3*(u - 1)*(u + 1)*(4*u + 1)
Let k(w) be the second derivative of 1/4*w**4 - 3/20*w**5 - 3/2*w**2 + 0 + 1/2*w**3 + 3*w. Factor k(u).
-3*(u - 1)**2*(u + 1)
Let w(t) be the third derivative of -t**7/315 - t**6/180 + t**5/45 - 2*t**2. Solve w(o) = 0.
-2, 0, 1
Factor 2 + 9*w + 45*w**2 + 21*w + 21*w + 4.
3*(w + 1)*(15*w + 2)
Let c be (4/36)/((-3)/(-4)). Let x = c - -26/189. Determine z so that -4/7*z**3 + 2/7*z + 4/7*z**2 + 2/7*z**5 - 2/7 - x*z**4 = 0.
-1, 1
Let j(t) be the second derivative of t**7/14 + t**6/10 - 3*t**5/20 - t**4/4 - 8*t. What is g in j(g) = 0?
-1, 0, 1
Let h be (2*771/21)/2. Let a = 37 - h. Factor -a*r + 0 - 2/7*r**2.
-2*r*(r + 1)/7
Factor -4 + 0*a + a**4 + 8 + 2*a**3 - 2*a - 2*a - 3*a**2.
(a - 1)**2*(a + 2)**2
Let t(u) be the first derivative of -9*u**7/140 + u**6/10 + u**5/5 - 2*u**4/3 + u**3/3 - 2. Let g(q) be the third derivative of t(q). Factor g(f).
-2*(3*f - 2)**2*(3*f + 2)
Let a(w) be the first derivative of -w**4/12 + w**3/3 - 6. Solve a(t) = 0 for t.
0, 3
Let h(z) be the second derivative of -z + 0 + 4*z**2 + 4/3*z**3 + 1/6*z**4. Factor h(q).
2*(q + 2)**2
Let u(o) be the first derivative of -7*o**5/150 - o**4/30 - o**2/2 + 3. Let x(r) be the second derivative of u(r). Factor x(y).
-2*y*(7*y + 2)/5
Let p(l) = -l + 8. Suppose -29 + 5 = -4*o. Let z be p(o). What is n in -16*n**4 - 43*n**5 + 11*n**5 - 3*n**2 + n**z + 14*n**3 = 0?
-1, 0, 1/4
Let a(j) be the first derivative of 1/3*j**2 - 1/15*j**5 - 1/6*j**4 + 0*j**3 - 3 + 1/3*j. Find l such that a(l) = 0.
-1, 1
Let q(f) = -2*f + 4*f - 4 - f. Let m be q(6). Factor -2*l + l**2 - l**4 + 2*l**3 - l**4 + l**m + 0*l.
-2*l*(l - 1)**2*(l + 1)
Let x = 34238/30695 - 1/877. Let p = 7/5 - x. Factor p*w**2 + 0*w + 0*w**3 + 0 - 2/7*w**4.
-2*w**2*(w - 1)*(w + 1)/7
Suppose 0 = 3*a - 0*a + 27. Let l be a + 12 - (1 + 2). Suppose -y**2 - 2/3*y + l - 1/3*y**3 = 0. What is y?
-2, -1, 0
Let a(b) = b**3 + 3*b**2 - 6*b - 6. Let m be a(-4). Let -n**5 - 2*