
Let b(p) be the third derivative of -p**8/1512 + p**7/135 - 11*p**6/540 + p**5/54 - 61*p**2 + 3*p. What is r in b(r) = 0?
0, 1, 5
Solve -4*x**4 - 3*x**4 + 0*x**3 + 2*x**5 + 7*x**3 + 18*x**2 - 25*x**3 + 5*x**4 = 0.
-3, 0, 1, 3
Let v(t) be the third derivative of 3*t**8/2240 - t**7/168 - t**6/120 + 7*t**4/8 + 6*t**2. Let p(i) be the second derivative of v(i). Solve p(d) = 0.
-1/3, 0, 2
What is c in -4/15*c**3 - 30 + 116/3*c - 128/15*c**2 + 2/15*c**4 = 0?
-9, 1, 5
Let b be (-10)/(-1*(-2)/(-4)). Let i = 20 - b. Let 3/5*n + i*n**2 - 2/5 - 1/5*n**3 = 0. Calculate n.
-2, 1
Let k(v) be the third derivative of v**6/960 + v**5/480 - v**4/24 - v**3/4 + 34*v**2 + 4*v. Solve k(n) = 0.
-2, 3
Let o be 4 - -3*(-59)/3. Let t = -52 - o. Factor 0*y + 0 + 0*y**2 - 1/2*y**t.
-y**3/2
Let m(p) be the second derivative of -7*p**6/75 + 12*p**5/25 - 3*p**4/10 - 28*p**3/15 + 12*p**2/5 - 34*p - 3. Determine a so that m(a) = 0.
-1, 3/7, 2
Let q(d) be the third derivative of -d**8/336 + 13*d**7/105 - 49*d**6/120 + 2*d**5/5 + 183*d**2. Factor q(r).
-r**2*(r - 24)*(r - 1)**2
Let p(k) be the first derivative of -7*k**6/360 - 19*k**5/180 - k**4/9 + 2*k**3/9 - 9*k**2/2 + 2*k + 22. Let l(m) be the second derivative of p(m). Factor l(g).
-(g + 1)*(g + 2)*(7*g - 2)/3
Let s be -2*1/9 + 43/180. Let p(a) be the second derivative of s*a**5 + 0*a**4 - 6*a + 0 - 1/18*a**3 + 0*a**2. Find g such that p(g) = 0.
-1, 0, 1
Let h(k) be the third derivative of k**8/168 - 11*k**7/105 + 13*k**6/20 - 61*k**5/30 + 11*k**4/3 - 4*k**3 + 100*k**2. Factor h(d).
2*(d - 6)*(d - 2)*(d - 1)**3
Let v(m) be the first derivative of m**4/4 - 2*m**3 + m**2 - 9*m + 34. Let q be v(6). Factor 16/3*x**4 + 4/3*x - 4*x**2 + 0 + 0*x**q.
4*x*(x + 1)*(2*x - 1)**2/3
Suppose -19*t = -23*t. Let s be ((-7)/28)/(-2 - -4 - 3). Factor -1/4*o**2 + t + 0*o + s*o**3.
o**2*(o - 1)/4
Let t(c) be the second derivative of c**5/120 + 11*c**4/18 - c**3/36 - 11*c**2/3 + 357*c. Solve t(u) = 0.
-44, -1, 1
Let o be (3 - 268/84)*18/160. Let a = 5/28 - o. Determine m, given that 1/5*m**4 + 2/5*m**3 - 2/5*m - a*m**2 + 0 = 0.
-2, -1, 0, 1
Let t(v) be the third derivative of -v**6/360 - v**5/20 + v**4/72 + v**3/2 - 14*v**2 - 12*v. Find s, given that t(s) = 0.
-9, -1, 1
Suppose -56*j - 15*j + 355 = 0. Factor -1/3*k**j + 2/3*k**4 - 8/3*k**2 + 2/3*k**3 - 2/3 + 7/3*k.
-(k - 1)**4*(k + 2)/3
Let l(t) = 5*t - 177. Let u be l(36). Let q(s) be the second derivative of 5/4*s**u - 6*s + 9/4*s**2 + 0 + 1/4*s**4. Factor q(y).
3*(y + 1)*(2*y + 3)/2
Let t = -15/37 - -82/111. Let w(m) be the first derivative of -5/6*m**2 - 1/18*m**6 - 10/9*m**3 - 5/6*m**4 - t*m + 6 - 1/3*m**5. Factor w(z).
-(z + 1)**5/3
Let o(u) be the first derivative of 5 + 0*u - 3/4*u**4 - 6*u**2 + 4*u**3. Solve o(n) = 0 for n.
0, 2
Let g = 15021 - 45047/3. Let 8*z**2 - 12*z - 4/3*z**3 + g = 0. Calculate z.
1, 4
Let z(n) = 29*n**3 - 42*n**2 + 73*n. Let l(x) = -13*x**3 + 22*x**2 - 37*x. Let a(g) = -7*l(g) - 3*z(g). Solve a(f) = 0.
0, 2, 5
Let z = -7708/7 - -1105. Solve 0*h + z*h**2 - 18/7*h**3 + 3/7*h**4 + 0 = 0.
0, 3
Suppose -3*r - 3*h + 45 = 0, 84 = 5*r - 0*h + 2*h. Factor r*b**4 - 20*b**3 - 2*b**4 + 22*b**2 - 18*b**2.
4*b**2*(b - 1)*(4*b - 1)
Let z(y) = 51*y**2. Let n be z(0). Solve n - 3/4*u**3 + 0*u**2 - 3/8*u**4 + 0*u = 0 for u.
-2, 0
Factor 73*b**4 + 7*b - 28*b**4 - 145*b**2 + 195*b**3 + 18*b.
5*b*(b + 5)*(3*b - 1)**2
Suppose -4*n + 3 = -5. Find a such that 0*a**2 + 4*a**2 - a**2 + 4*a**4 + a**n + 8*a**3 = 0.
-1, 0
Suppose 0 = o - 7*o + 36. Let h = o + -4. Factor 2*b**2 - 2*b**3 + 2*b - h*b + 0*b.
-2*b**2*(b - 1)
Factor 0*v + 3/4*v**3 - 21/2*v**2 + 0.
3*v**2*(v - 14)/4
Let c be (-1 + 2)/((-7)/(-203)). Suppose -c = -2*d - 19. Factor 0*m + 0*m**3 - 4/5*m**4 - 2/5*m**d + 0 + 0*m**2.
-2*m**4*(m + 2)/5
Let k(j) be the third derivative of -j**5/90 + 7*j**4/18 - 13*j**3/9 - 3*j**2 - 4. Factor k(q).
-2*(q - 13)*(q - 1)/3
Suppose 0*i = -7*i + 63. Factor -i*d - 4*d**2 + 8*d**2 - 7*d**2 + 0*d**2.
-3*d*(d + 3)
Suppose 4*f - 4*g + 2*g = -10, 3*f - 2*g + 10 = 0. Suppose 11*a - 13*a + 8 = f. Factor 0*o**2 + o + a*o**2 + 2*o - o**2.
3*o*(o + 1)
Let o(p) = p**2 - p + 1. Suppose 3*z + 5*k - 8 = 0, 5*z - 17 = 3*k + 19. Let x(q) = 13*q**2 - 7*q - 2. Let n(r) = z*o(r) - x(r). Find b such that n(b) = 0.
-1, 8/7
Let w(i) be the first derivative of 1/20*i**5 - 1/8*i**4 - 21 + 1/8*i**2 + 1/4*i + 1/24*i**6 - 1/6*i**3. Solve w(m) = 0 for m.
-1, 1
Let p(t) be the second derivative of t**5/16 - 55*t**4/48 + 25*t**3/12 + 3*t - 9. Find n such that p(n) = 0.
0, 1, 10
Find r such that 1/4*r**2 + 97/2*r + 9409/4 = 0.
-97
Let y(k) = -k + 1. Suppose 0 = z + 22 - 0. Let t(f) = -12*f**2 - 18*f + 10. Let p(d) = z*y(d) + 2*t(d). Suppose p(i) = 0. What is i?
-1/3, -1/4
Let o(c) = 5*c**4 - 2*c**3 + 2*c - 5. Suppose -4*v + 5 = -7. Let y(i) = 4*i**4 - i**3 + i - 4. Let k(z) = v*o(z) - 4*y(z). Determine x so that k(x) = 0.
-1, 1
Let i be 0 + -20 + (-736 - -759). Suppose 0*u**4 + 0*u - 1/3*u**i + 1/3*u**5 + 0*u**2 + 0 = 0. What is u?
-1, 0, 1
Suppose 5*f = -0 - 5, 0 = 5*u - f + 9. Let o be (13/52)/((-3)/u). Determine b so that 0*b + 1/3*b**4 + 1/6*b**3 - 1/3*b**2 + 0 - o*b**5 = 0.
-1, 0, 1, 2
Let n(g) be the first derivative of -1/16*g**4 + 1/4*g**3 + 16 - 1/4*g**2 + 0*g. Factor n(i).
-i*(i - 2)*(i - 1)/4
Let z be 0 - (-6)/(-14) - 72/(-21). Let u(k) be the first derivative of -3/10*k**4 - 4/25*k**5 + 0*k**3 + 0*k + z + 1/5*k**2. Determine l so that u(l) = 0.
-1, 0, 1/2
Let z(n) = 29*n + 555. Let i be z(-19). Suppose 2*l**5 - 4/3*l**3 + 8/3*l**2 - 2/3*l + 0 - 8/3*l**i = 0. Calculate l.
-1, 0, 1/3, 1
Suppose -8 + 5*b**2 + 600*b**3 - 604*b**3 - 4*b**2 - 4*b**2 + b**4 + 14*b = 0. What is b?
-2, 1, 4
Factor 361 - 380*t + 77/4*t**2 - 1/4*t**3.
-(t - 38)**2*(t - 1)/4
Let t be 2*(5 - 1)/4. Determine j so that -32*j + 13*j + 4*j**2 + j**t + 14*j = 0.
0, 1
What is o in -35*o**2 + 90*o + 450 - 12*o**3 - 525*o + 167*o**2 = 0?
5/2, 6
Let d(p) be the second derivative of 1/10*p**2 + 0 + 7/30*p**3 + 7*p + 13/100*p**5 + 1/4*p**4 + 2/75*p**6. Factor d(y).
(y + 1)**3*(4*y + 1)/5
Solve 0*v**2 + 0*v + 27/7*v**3 + 0 + 3/7*v**4 = 0 for v.
-9, 0
Let x(u) = u + 1. Let v(w) = 6*w + 5*w**2 + 6 + 1 + 4 - 4*w**2. Let i = -1 + 3. Let q(n) = i*v(n) - 18*x(n). Factor q(y).
2*(y - 2)*(y - 1)
Factor 4*o**4 - 2*o**2 - 40*o**3 + 13*o**3 + 0*o**4 + 40*o**2 - 22*o + 6*o + o**5.
o*(o - 2)*(o - 1)**2*(o + 8)
Let o = -1 + 5. Suppose -13 = -v - 3*y - o, 0 = -v + 4*y - 5. Suppose 2*g**3 + 3*g**5 - 3*g**5 - g**4 - v*g**5 + 2*g**5 = 0. Calculate g.
-2, 0, 1
Let f = 54817/5 + -11039. Let o = f - -2676/35. Factor 2/7*i**2 + o - 8/7*i.
2*(i - 3)*(i - 1)/7
Let u = -2493/182 + 371/26. Suppose 0*k + 0 - u*k**2 = 0. What is k?
0
Factor -35/2*f + 5/4*f**2 + 65/4.
5*(f - 13)*(f - 1)/4
Let f(c) = c**3 + 9*c**2 + 10*c + 11. Let g be f(-8). Let i = 10 + g. Factor -2*j**2 - 2*j - 1 - 2 - i*j.
-(j + 3)*(2*j + 1)
Factor 13*l**2 - 11*l**2 + 10*l**2 + l**3 - 5 - 45 + 12*l**2 - 27*l.
(l - 2)*(l + 1)*(l + 25)
Let a(o) be the first derivative of 5*o**4/4 - 25*o**3/3 - 65*o**2/2 - 35*o - 86. Solve a(q) = 0 for q.
-1, 7
Let r(g) = g**2 - g + 1. Let x(j) be the third derivative of -2*j**5/15 + j**4/6 + 2*j**2. Let z be (-4 - -7)/(6/8). Let u(m) = z*r(m) + x(m). Factor u(v).
-4*(v - 1)*(v + 1)
Let z = 39 + -37. Let -w - 12*w**2 + 5*w**z + 6*w**2 = 0. What is w?
-1, 0
Let d(z) be the first derivative of -z**6/360 - z**5/180 + z**4/8 + z**3/2 + 14*z**2 - 7. Let w(p) be the second derivative of d(p). Factor w(u).
-(u - 3)*(u + 1)*(u + 3)/3
Let q(l) be the second derivative of -1/4*l**4 - l**3 + 0 - 25*l - 3/2*l**2. Factor q(x).
-3*(x + 1)**2
Let i = -209 - -209. Let h(u) be the second derivative of -1/20*u**4 + 0 - 1/10*u**3 + i*u**2 - 5*u. What is r in h(r) = 0?
-1, 0
Suppose 23*d - 21*d - 4*r - 32 = 0, -3*r = -3*d + 24. Let -k - 1/10*k**3 + 7/10*k**2 + d = 0. What is k?
0, 2, 5
Let d = 1399/76740 + -2/1279. Let w(c) be the second derivative of -d*c**5 + 2*c + 1/12*c**4 + 0 + 1/6*c**2 - 1/6*c**3. What is i in w(i) = 0?
1
Let o(h) be the second derivative of -h**8/240 + 3*h**7/280 - h**6/180 - 5*h**3/2 - 13*h. Let q(z) be the second derivative of o(z). Let q(b) = 0. What is b?
0, 2/7, 1
Let q(r) be the third derivative of r**7/70 + r**6/8 + r**5/5 - 13*r**2 - r. Factor q(x).
3*x**2*(x + 1)*(x 