 - 4/8801. Factor -2/5*c**2 - 2/5*c**3 - j + 2*c.
-2*(c - 1)**2*(c + 3)/5
Let k(u) be the first derivative of -2*u**5/5 - 3*u**4/10 - u**3/15 - 20*u + 6. Let f(m) be the first derivative of k(m). Let f(h) = 0. What is h?
-1/4, -1/5, 0
Suppose 0 = 2*k + 3*b - 11, 3*b + 12 + 19 = 4*k. Let v be 7/(28/(-20)) + k. Factor 2*l**v - 6/5*l**3 + 0 - 4/5*l.
-2*l*(l - 1)*(3*l - 2)/5
Suppose 5*o - 59 = 3*s, -5*s + 4*o + 0*o - 120 = 0. Let f = -26 - s. Factor 3*h**2 + h**2 - h**2 + 4 + h**f - 8*h.
4*(h - 1)**2
Suppose -5*p = d - 155, -2*p - 51 = 4*d - 131. Let g = 18 + p. Find r, given that -45*r**4 - 4*r + g*r**4 + 4*r - 3*r**2 = 0.
-1, 0, 1
Let l(d) be the first derivative of 5*d**3/3 + 205*d**2 + 8405*d - 76. Solve l(v) = 0.
-41
Let w(c) be the third derivative of 0*c**3 + 0*c**4 + 21*c**2 + 0 + 0*c**5 + 0*c + 1/280*c**6. Suppose w(q) = 0. Calculate q.
0
Let o(b) be the third derivative of b**5/60 + b**4/24 - 163*b**2. Factor o(k).
k*(k + 1)
Let j(y) be the third derivative of y**6/300 + 4*y**5/75 + 13*y**4/60 + 2*y**3/5 - 6*y**2 - 5*y. Factor j(p).
2*(p + 1)**2*(p + 6)/5
Let r(b) be the third derivative of b**7/735 + 31*b**6/840 - 4*b**5/105 - b**2 + 235. Factor r(k).
k**2*(k + 16)*(2*k - 1)/7
Let h = -121 + 115. Let d be 2*3*(-3)/h. Factor -2/3*r**2 + 0 + 0*r + 3*r**d - 7/3*r**4.
-r**2*(r - 1)*(7*r - 2)/3
Let n(d) be the second derivative of 3*d**5/5 - 19*d**4/4 + 13*d**3 - 33*d**2/2 - 3*d + 17. Suppose n(h) = 0. Calculate h.
1, 11/4
Let i(d) = -8*d**3 + 26*d**2 - 18*d - 6. Let b(f) = -f**3 + 2*f**2 - f - 1. Let w(c) = 12*b(c) - 2*i(c). Factor w(k).
4*k*(k - 6)*(k - 1)
Let f(c) be the first derivative of -3*c**4/16 - 9*c**3/8 + 45*c**2/4 + 12*c - 883. Determine l so that f(l) = 0.
-8, -1/2, 4
Let o(h) = 6*h**2 - 4*h + 5. Suppose 5*x = -4*g + 21, -x - 3*g + 3 = 1. Let c(q) = 5*q**2 - 3*q + 4. Let d(m) = x*c(m) - 4*o(m). Suppose d(t) = 0. What is t?
-1, 0
Let a(d) = d**2 + 8*d - 18. Let q be a(-10). Suppose 3*g - 3 - 14 = 2*z, q*g - z = 10. Solve 1/2*u**4 + 0*u + 0*u**2 + 1/2*u**g + 0 = 0.
-1, 0
Solve -3*o**2 + 163 + 160 - 320 = 0 for o.
-1, 1
Suppose 0 = -5*w + 1 + 9. Find c such that 2*c - 14*c**w - 3*c + 16*c**2 - c = 0.
0, 1
Factor 4/11*g**2 - 24/11 + 2*g - 2/11*g**3.
-2*(g - 4)*(g - 1)*(g + 3)/11
Let 92*k**2 - 10*k + 95*k**2 - 189*k**2 + 3*k - 4 + k**3 = 0. What is k?
-1, 4
Let q(n) = 24*n**2 + 2*n + 6. Let h(p) be the first derivative of 49*p**3/3 + 5*p**2/2 + 13*p + 4. Let g(k) = -6*h(k) + 13*q(k). Factor g(r).
2*r*(9*r - 2)
Let z(f) = 14*f**4 - 18*f**3 - 56*f**2 - 6*f - 6. Let w(j) = -2*j**4 - j**3 + j + 1. Let p(r) = -6*w(r) - z(r). Factor p(u).
-2*u**2*(u - 14)*(u + 2)
Let p(j) be the third derivative of 2/15*j**3 + 0*j - 1/24*j**4 + 1/300*j**5 + 0 - 26*j**2. Factor p(r).
(r - 4)*(r - 1)/5
Let t be (-23)/(69/(-6))*(-2)/(-12). Let b(j) be the first derivative of j + t*j**3 + 2 - j**2. Suppose b(c) = 0. What is c?
1
Let i(t) be the first derivative of -5*t**4/4 - 40*t**3/3 + 95*t**2/2 - 50*t + 1069. Let i(b) = 0. Calculate b.
-10, 1
Let v(q) be the third derivative of q**10/166320 - q**9/41580 - 7*q**4/12 - 32*q**2. Let y(p) be the second derivative of v(p). What is h in y(h) = 0?
0, 2
Let u(y) be the third derivative of 0*y**3 + 0 - 9*y**2 + 1/132*y**4 - 1/110*y**5 - 1/165*y**6 + 0*y. Suppose u(f) = 0. What is f?
-1, 0, 1/4
What is c in -1/4*c**3 - 1/2 - 5/4*c - c**2 = 0?
-2, -1
Let i = 15899 + -111281/7. Find b, given that i - 3/7*b**2 - 12/7*b + 3/7*b**3 = 0.
-2, 1, 2
Let s(i) be the third derivative of 5/8*i**4 + 0 + 0*i + 1/20*i**5 + 17*i**2 + 0*i**3. Factor s(c).
3*c*(c + 5)
Let z(k) = -7*k**5 - 11*k**4 - 56*k**3 + 41*k**2 - 11*k. Let g(o) = -o**5 - 2*o**4 - 11*o**3 + 8*o**2 - 2*o. Let s(i) = -11*g(i) + 2*z(i). Factor s(j).
-3*j**2*(j - 1)**2*(j + 2)
Let o = -258 + 2323/9. Let s(x) be the second derivative of -1/27*x**3 + 1/18*x**5 - 2/135*x**6 + 0 - 6*x - 1/18*x**4 + o*x**2. Solve s(j) = 0.
-1/2, 1
Let 2/3*r**4 - 8/9*r - 2/9*r**5 + 8/3 - 10/3*r**2 + 10/9*r**3 = 0. Calculate r.
-2, -1, 1, 2, 3
Let f(w) be the first derivative of -2*w**3/33 - 30*w**2/11 - 450*w/11 + 341. Factor f(v).
-2*(v + 15)**2/11
Let h(r) be the first derivative of -8*r**4 - 244*r**3/3 - 208*r**2 + 192*r + 193. Solve h(f) = 0.
-4, 3/8
Let t = 41 + -37. Let w(o) be the third derivative of 0 + 1/112*o**8 + 3/10*o**6 + 3/35*o**7 + 0*o**t + 0*o - 3*o**2 + 0*o**3 + 2/5*o**5. Factor w(m).
3*m**2*(m + 2)**3
Let b be (0/3)/7*1. Let o(d) be the second derivative of 1/14*d**7 + b*d**3 + 0*d**5 + 0*d**2 - d + 0*d**4 + 0*d**6 + 0. Factor o(g).
3*g**5
Suppose 4 = -26*c + 27*c. Suppose 0 = 2*p + 4*b - 0*b - 30, c*p - 5*b = -5. Factor p*q + 8*q**3 - 7*q + 6*q**4 - 2*q - 10*q**2.
2*q*(q - 1)*(q + 2)*(3*q + 1)
Suppose 19*l - 86 = -29. Determine h so that -3/2*h**2 + 9/2*h - l = 0.
1, 2
Let l(g) be the first derivative of -1/8*g**2 - 15 - 1/6*g**3 + 1/16*g**4 + 1/2*g. Determine n so that l(n) = 0.
-1, 1, 2
Let m = -25066 + 125342/5. Let -3/5*z**4 + 0 + 6/5*z + m*z**3 - 3*z**2 = 0. What is z?
0, 1, 2
Let z(x) be the first derivative of 2*x**3/3 - 13*x**2 + 44*x + 69. Find o, given that z(o) = 0.
2, 11
Let r(q) be the first derivative of -2*q**5/15 - 2*q**4/3 + 86*q**3/9 - 26*q**2/3 - 48*q - 313. Suppose r(n) = 0. What is n?
-9, -1, 2, 4
Let w(m) be the third derivative of m**7/1960 + m**6/420 + m**5/280 + 2*m**3/3 + 9*m**2. Let u(a) be the first derivative of w(a). Determine s so that u(s) = 0.
-1, 0
Let n(r) be the first derivative of 1/4*r**4 + 1/2*r**3 - 34 - 1/10*r**5 + 0*r + 0*r**2. Factor n(x).
-x**2*(x - 3)*(x + 1)/2
Suppose 0 = 4*w + 4 - 16. Suppose 3*k - 4*k = k. Factor -4 + 2*p**2 + 7*p**3 + p**5 - w*p**2 + 5*p**4 + k*p**2 - 8*p.
(p - 1)*(p + 1)**2*(p + 2)**2
Let m(r) = 2*r**3 - r**2 - 5 - 3*r**3 - 5*r + 0*r. Let c(t) be the first derivative of -t**2/2 - t - 2. Let n(j) = -6*c(j) + m(j). Find y such that n(y) = 0.
-1, 1
Let v be 22/(-132)*(-6)/4. What is y in 1/4*y - 1/4 + 1/2*y**2 - 1/4*y**4 + v*y**5 - 1/2*y**3 = 0?
-1, 1
Let b be 4/6*(-6)/(-5). Let b*m**2 + 0*m + 0 = 0. What is m?
0
Let w(j) = 5*j - 22. Let v be w(5). Factor v*g**2 - g**3 + 3*g**2 + 30*g - 38*g.
-g*(g - 4)*(g - 2)
Suppose -15 = -5*l + 3*u, -45*l - u = -48*l + 5. Suppose l + 2/13*g**2 + 6/13*g = 0. What is g?
-3, 0
Let m(z) be the third derivative of z**8/1344 - z**7/144 + z**6/36 - 11*z**5/60 + 15*z**2. Let h(t) be the third derivative of m(t). Solve h(o) = 0.
1, 4/3
Let c(g) be the third derivative of 0 + 0*g**3 - 1/75*g**5 + 6*g**2 - 1/30*g**4 + 0*g - 1/600*g**6. Factor c(q).
-q*(q + 2)**2/5
Let c be (-65)/(-156)*((-160)/(-75))/4. Factor c*n**2 + 4/3*n + 2.
2*(n + 3)**2/9
Factor 45/2*s**3 - 535/2*s + 45 + 390*s**2.
5*(s + 18)*(3*s - 1)**2/2
Let f(u) be the first derivative of 2*u**7/147 + 2*u**6/105 - 29*u - 13. Let b(a) be the first derivative of f(a). Find v such that b(v) = 0.
-1, 0
Let n(u) be the second derivative of -7/15*u**3 + 2/5*u**2 - 34*u + 0 - 2/15*u**4. Suppose n(a) = 0. What is a?
-2, 1/4
Let m(r) = -r**2 - 14*r. Let p be m(-6). Let g be 12/p*(-6)/(-9). Suppose 0*b - 1/6*b**2 + g*b**3 + 0 = 0. What is b?
0, 1
Let f = -277/4 - -70. Let w(d) be the first derivative of f*d**4 - 13/25*d**5 + 0*d - 7/15*d**3 + 10 + 2/15*d**6 + 1/10*d**2. Determine x so that w(x) = 0.
0, 1/4, 1
Let k(p) be the first derivative of 0*p + 2/17*p**3 + 0*p**4 - 2/17*p**2 - 2/85*p**5 - 3. Find b, given that k(b) = 0.
-2, 0, 1
Let c(w) be the second derivative of -w**4/78 - 3*w**3/13 + 4*w - 1. What is b in c(b) = 0?
-9, 0
Let v(q) be the first derivative of -q**7/147 + q**6/105 + q**5/70 - q**4/42 + 16*q - 3. Let x(g) be the first derivative of v(g). Factor x(r).
-2*r**2*(r - 1)**2*(r + 1)/7
Let n(l) be the second derivative of -l**4/3 + 8*l**3/3 - 6*l**2 + 27*l + 1. Factor n(d).
-4*(d - 3)*(d - 1)
Suppose 0 = 2*x + 4, 2*p - 5*x = -p + 22. Suppose -3*z = -p*z + 3. Solve -15/4*o + 3/2 + 3*o**2 - 3/4*o**z = 0.
1, 2
Let l(t) be the first derivative of 5*t**4/4 - 45*t**2/2 + 6. Factor l(f).
5*f*(f - 3)*(f + 3)
Let d(p) = 2*p**2 + 60*p - 126. Let z be d(-32). Factor 2/3*a**3 + 2/3 + 2*a + z*a**2.
2*(a + 1)**3/3
Let z(f) be the third derivative of 1/8*f**6 + 11/40*f**4 + 7/20*f**5 + 0*f + 1/10*f**3 - 16*f**2 + 0. What is c in z(c) = 0?
-1, -1/5
Let s(o) = 3*o**3 - 92*o**2 + 540*o - 1082. Let n(x) = 65*x**3 - 2025*x**2 + 11