 be the third derivative of 0*l - 2*l**2 + 0 + 0*l**3 + 1/20*l**i + 3/200*l**6 - 1/20*l**5. Let k(u) = 0. Calculate u.
0, 2/3, 1
Let d(n) be the first derivative of -7*n**6/33 - 2*n**5/11 + n**4/11 + 5. Factor d(p).
-2*p**3*(p + 1)*(7*p - 2)/11
Suppose 2*f - 2*o - 12 = 3*o, -12 = -2*f - 4*o. Let 389 - 3*s**3 + f*s**2 - 389 = 0. What is s?
0, 2
Let a(k) be the third derivative of 0*k**3 + 0*k + 1/280*k**7 + 1/80*k**6 - 6*k**2 - 1/80*k**5 + 0 - 1/16*k**4. Let a(h) = 0. What is h?
-2, -1, 0, 1
Let b(t) be the first derivative of -5*t**6/18 + t**5/3 + 25*t**4/12 - 25*t**3/9 - 10*t**2/3 + 20*t/3 - 3. Determine a, given that b(a) = 0.
-2, -1, 1, 2
Let f(v) be the first derivative of v**6/24 - 7*v**5/20 + 11*v**4/16 - 5*v**3/12 - 148. Factor f(h).
h**2*(h - 5)*(h - 1)**2/4
Let w(y) be the third derivative of -3/40*y**5 - 1/12*y**4 - 1/224*y**8 + 0 + 1/420*y**7 + 0*y + 1/3*y**3 + 26*y**2 + 11/240*y**6. Solve w(h) = 0 for h.
-2, -2/3, 1
What is a in -933*a + 513*a - 22*a**2 - 3*a**3 + 4*a**2 + 501*a = 0?
-9, 0, 3
Let d(q) be the first derivative of q**7/4200 + 7*q**6/1800 + 11*q**5/600 + q**4/24 - 14*q**3/3 - 13. Let n(l) be the third derivative of d(l). Factor n(c).
(c + 1)**2*(c + 5)/5
Let b(l) be the first derivative of -5*l**6/24 - 3*l**5 + 5*l**4/16 + 5*l**3 + 263. Suppose b(s) = 0. Calculate s.
-12, -1, 0, 1
Let a(y) be the second derivative of -y**6/45 + y**5/15 + y**4/18 - 2*y**3/9 + y + 1. Factor a(n).
-2*n*(n - 2)*(n - 1)*(n + 1)/3
Let p(q) = -11*q**2 + 7*q + 48. Let b(m) = 5*m**2 - 4*m - 24. Let s(z) = -5*b(z) - 2*p(z). Factor s(d).
-3*(d - 4)*(d + 2)
Let a = -717 - -28681/40. Let g(d) be the third derivative of -4*d**2 + 1/300*d**5 + 0 + 1/15*d**3 - a*d**4 + 0*d. Solve g(w) = 0 for w.
1, 2
Let i(j) be the first derivative of 2*j**5/35 + 2*j**4/7 - 116. Find b such that i(b) = 0.
-4, 0
Solve 4/3*l + 40 + 4/9*l**4 + 4/9*l**3 - 92/9*l**2 = 0.
-5, -2, 3
Let y(d) = -42*d**4 + 36*d**3 + 204*d**2 - 54*d - 99. Let t(w) = 6*w**4 - 5*w**3 - 29*w**2 + 8*w + 14. Let s(h) = -15*t(h) - 2*y(h). Let s(j) = 0. Calculate j.
-2, -1/2, 1, 2
Let m be (44/15)/4 - 18/45. Let d(l) be the first derivative of 0*l - m*l**2 - 6 - 2/9*l**3. Factor d(v).
-2*v*(v + 1)/3
Let f(l) be the second derivative of 7*l**5/60 + 13*l**4/18 - 4*l**3/9 - 701*l. Factor f(j).
j*(j + 4)*(7*j - 2)/3
Factor 0 + w + 1/11*w**2.
w*(w + 11)/11
Let y(k) = k**3 + 49*k**2 + 390*k + 3. Let r be y(-39). Find x such that -24/5*x**4 + 8*x**r + 0*x**2 + 4/5*x**5 + 24/5 - 44/5*x = 0.
-1, 1, 2, 3
Factor -10/3*t**4 - 2/3*t**2 - 4*t**3 + 0 + 0*t.
-2*t**2*(t + 1)*(5*t + 1)/3
Let z be 5/(-105)*7 - 20/(-6). Let t(i) be the first derivative of 1 + 1/9*i**z + 0*i + 0*i**2 + 1/30*i**5 + 1/8*i**4. Factor t(d).
d**2*(d + 1)*(d + 2)/6
Let t(y) be the first derivative of -26/3*y**3 - 3*y**4 - 2/5*y**5 - 8 - 12*y**2 - 8*y. Factor t(z).
-2*(z + 1)**2*(z + 2)**2
Let s(t) be the third derivative of -11/30*t**6 - 3*t**2 + 0*t - 16/3*t**3 - 29/15*t**5 + 2/105*t**7 + 1/84*t**8 + 0 - 13/3*t**4. Factor s(w).
4*(w - 4)*(w + 1)**3*(w + 2)
Let r(y) be the third derivative of -y**7/840 + 23*y**6/480 + y**5/10 + 174*y**2. Factor r(p).
-p**2*(p - 24)*(p + 1)/4
Let o be (3 - 8)*(-12)/180. Let c(f) be the second derivative of 2*f + 0 - 1/12*f**4 + 13/30*f**6 + 9/20*f**5 - o*f**3 + 5/42*f**7 + 0*f**2. Factor c(x).
x*(x + 1)**3*(5*x - 2)
Let u(q) be the third derivative of q**5/15 - 3*q**4/2 - 85*q**2. Determine v so that u(v) = 0.
0, 9
Let p = -6466/3 - -2158. Let 16/3*d**2 - 4/3*d**3 - 20/3*d + p = 0. Calculate d.
1, 2
Let c = 144 + -132. Let z be (c/(-10) - 0)/(78/(-260)). Factor 8/5*p**2 + 56/5*p**3 + 0*p + 98/5*p**z + 0.
2*p**2*(7*p + 2)**2/5
Suppose 0 = -3*w - 14 - 1. Let i(k) = k**2 + 11*k + 32. Let s be i(w). Factor -1/5*z + 0 - 1/5*z**s.
-z*(z + 1)/5
Let h(d) be the third derivative of -54*d**7/385 + 93*d**6/220 - 37*d**5/165 - 41*d**4/132 - 2*d**3/33 + 18*d**2 + 4. What is q in h(q) = 0?
-2/9, -1/18, 1
Determine m so that 8*m**3 + 2*m**3 - 3 - 7 - 8*m**2 - 5*m + 28*m**2 - 10*m**4 - 5*m**5 = 0.
-2, -1, 1
Let k = 566 - 561. Let o(m) be the first derivative of -1/16*m**4 + 0*m - 6 + 1/4*m**k - 1/4*m**2 + 1/8*m**6 - 5/12*m**3. Suppose o(q) = 0. What is q?
-1, -2/3, 0, 1
Let h(c) be the third derivative of -c**6/240 + 7*c**5/40 + c**4/48 - 7*c**3/4 + 6*c**2 + 21. Factor h(d).
-(d - 21)*(d - 1)*(d + 1)/2
Let x(t) be the second derivative of 13*t**5/20 - 11*t**4/12 - t**3 + 7*t**2/2 - 29*t. Let j(g) = -g**3 + g**2 - 1. Let c(l) = 22*j(l) + 2*x(l). Factor c(z).
4*(z - 2)*(z + 1)**2
Let i(t) = t**5 - t**3 + t**2 + 1. Let y(f) = 9*f**4 - 12*f**3 + 6*f**2 + 3. Let o(s) = 3*i(s) - y(s). Let o(w) = 0. Calculate w.
0, 1
Let r(c) be the first derivative of c**6/45 - 14*c**5/75 + 17*c**4/30 - 34*c**3/45 + 2*c**2/5 + 238. Suppose r(o) = 0. What is o?
0, 1, 2, 3
Solve 2*i**2 + 208*i + 2645 + 22*i + 3*i**2 = 0 for i.
-23
Suppose 3*l + 35 = 5. Let q be 5/l*(-18)/21. Factor -q*r**4 + 3/7*r**5 + 3/7*r**2 - 3/7*r**3 + 0*r + 0.
3*r**2*(r - 1)**2*(r + 1)/7
Let p be 11/((-660)/112) - 1*-2. Let b = 11/30 + p. Solve b*v + 1/2*v**2 + 0 = 0 for v.
-1, 0
Let k(c) = -c**2 - 4*c + 6. Let x(n) be the first derivative of -n**3/3 - 3*n**2/2 + 5*n - 5. Let m(q) = 5*k(q) - 6*x(q). Factor m(w).
w*(w - 2)
Let b(z) be the second derivative of z**4/6 + 14*z**3/3 - 15*z**2 - 17*z. Solve b(g) = 0 for g.
-15, 1
Let d be 6/((-84)/49) - -4. Let r(o) be the first derivative of 3/4*o**2 + 1/8*o**4 + 1/2*o**3 + d*o + 5. Let r(c) = 0. What is c?
-1
Let m be 66390/(-80) + 1 + 1. Let a = m - -829. Determine y so that -a*y + 3/4 + 21/8*y**5 - 21/4*y**2 - 3/2*y**3 + 9/2*y**4 = 0.
-1, 2/7, 1
Let z(g) be the third derivative of -g**6/30 + 7*g**5/40 + g**4/4 + 3*g**3/2 + 2*g**2. Let f(y) be the first derivative of z(y). Let f(d) = 0. What is d?
-1/4, 2
Let i(c) = -2*c**2 + 35*c - 14. Let q be i(17). Suppose 0*k - 3*k = 3*p - q, k + 11 = 3*p. Let 1/9 - 1/9*o**p + 1/3*o**2 - 1/3*o = 0. What is o?
1
Let z(p) be the second derivative of p**5/100 + p**4/40 + 5*p**2 - 7*p. Let l(u) be the first derivative of z(u). Let l(k) = 0. What is k?
-1, 0
Let t(r) be the second derivative of r**4/12 - 56*r**3/3 + 1568*r**2 + 3*r + 67. Solve t(g) = 0.
56
Let n(v) be the third derivative of 20*v**2 + 1/300*v**5 - 1/5*v**3 - 1/120*v**4 + 0*v + 0. Factor n(a).
(a - 3)*(a + 2)/5
Let u(t) = -t**3 - t**2 - 1. Let v(y) = -3*y**4 + 12*y**3 + 15*y**2 + 12. Suppose 0 = -18*b + 6*b + 12. Let j(m) = b*v(m) + 12*u(m). Solve j(r) = 0 for r.
-1, 0, 1
Let t(n) be the first derivative of n**6/3 - 32*n**5/5 - 119*n**4/2 - 548*n**3/3 - 260*n**2 - 176*n + 105. Find f, given that t(f) = 0.
-2, -1, 22
Let k(a) be the third derivative of -a**7/420 + a**5/120 - 316*a**2. Solve k(i) = 0 for i.
-1, 0, 1
Let i(n) = n**2 + n - 2. Let c(d) = -6*d**2 + 32*d + 14. Let s(f) = 2*c(f) + 14*i(f). Factor s(k).
2*k*(k + 39)
Let g(m) = m**2 - 2*m + 1. Let z(c) = -5*c**2 - 12*c - 19. Let n(u) = 6*g(u) + 2*z(u). Let n(v) = 0. What is v?
-8, -1
Let j = 2104 - 18920/9. Solve -32/9*n**2 - 2/9*n**4 + 0 + j*n**3 + 0*n = 0 for n.
0, 4
Let x(y) be the first derivative of y**6/36 + y**5/6 + 7*y**4/24 - y**3/18 - 2*y**2/3 - 2*y/3 - 80. Suppose x(f) = 0. What is f?
-2, -1, 1
Let k(x) = -x**2 - x - 4. Let d(j) = -361*j**2 - 1081*j - 54. Let i(c) = -d(c) + 6*k(c). Factor i(v).
5*(v + 3)*(71*v + 2)
Let n(c) be the second derivative of -c**5/80 + c**4/48 + c**3/12 - 13*c + 7. Determine t, given that n(t) = 0.
-1, 0, 2
Let l(f) be the first derivative of -2*f**3/27 + 26*f**2/9 - 338*f/9 + 22. Factor l(n).
-2*(n - 13)**2/9
Let w(h) be the third derivative of -h**6/180 + h**5/15 - h**4/4 - h**3 - 3*h**2. Let o(k) be the first derivative of w(k). Find c such that o(c) = 0.
1, 3
Let x(t) = -6 + 3*t**4 + 11*t + 4*t**2 - t**2 - 2*t**2 + 2*t**4. Let n(c) = c**4 + 2*c - 1. Let l(z) = -33*n(z) + 6*x(z). Factor l(h).
-3*(h - 1)**2*(h + 1)**2
Let a(f) be the first derivative of 0*f**2 - f**3 + 1/5*f**5 - 22 + 0*f + 1/2*f**4. Solve a(z) = 0.
-3, 0, 1
Let g(r) be the second derivative of r**4/66 + 9*r**3/11 - 28*r**2/11 + 34*r + 2. Factor g(t).
2*(t - 1)*(t + 28)/11
Let c(m) be the third derivative of -m**6/480 + m**5/80 - 7*m**2 - 11*m. Solve c(s) = 0 for s.
0, 3
Let p(m) be the second derivative of -m**5/20 - m**3/6 - m. Let x(c) = c**4 - c**3 - 2*c**2 - c 