f - 1/48*f**4 + 2*f**2 - 1/120*f**5 + 1/6*f**3. Let v(i) be the first derivative of c(i). Factor v(s).
-(s - 1)*(s + 2)/2
Let u(d) be the third derivative of d**6/120 - d**5/30 - 7*d**4/24 - 2*d**3/3 - 4*d**2 + 38*d. Factor u(o).
(o - 4)*(o + 1)**2
Suppose -8 = -5*w + w. Suppose w*l = -5*l + 14. Factor 4*m**2 - 6*m + 3*m**l - 2*m - 3*m**2.
4*m*(m - 2)
Let j(k) be the first derivative of -k**6/120 - k**5/40 + k**3/12 + k**2/8 - 10*k - 12. Let m(q) be the first derivative of j(q). Solve m(w) = 0 for w.
-1, 1
Let z(f) = 7*f**3 + 10*f**2 + 27*f. Let j(l) = -6*l**3 - 12*l**2 - 27*l. Let x(i) = -4*j(i) - 3*z(i). Factor x(o).
3*o*(o + 3)**2
Let n(u) = 2*u**2 + 40*u + 4. Let z be n(0). Factor -16/3*c - 4/3*c**2 - z.
-4*(c + 1)*(c + 3)/3
Let l(p) be the first derivative of -p**4/22 - 6*p**3/11 - 24*p**2/11 - 40*p/11 - 311. Suppose l(z) = 0. What is z?
-5, -2
Let v(m) be the first derivative of m**4/114 + 32*m**3/57 + 256*m**2/19 - 10*m - 53. Let w(u) be the first derivative of v(u). Factor w(c).
2*(c + 16)**2/19
Suppose 9*a = -3*a. Let o(u) be the second derivative of -3*u + 3/2*u**3 - 1/14*u**7 + a + 1/2*u**4 + 3/2*u**2 - 3/10*u**6 - 3/10*u**5. Factor o(c).
-3*(c - 1)*(c + 1)**4
Let r(s) be the first derivative of 0*s + 0*s**5 + 1/12*s**4 + 0*s**3 - 1/60*s**6 + 5/2*s**2 + 5. Let o(i) be the second derivative of r(i). Factor o(f).
-2*f*(f - 1)*(f + 1)
Let a = -2488 + 2488. Suppose -k + 3*o + 10 = 4*k, 2*k - o = 5. Determine l, given that a - 2/5*l**k + 0*l + 0*l**2 + 0*l**3 + 2/5*l**4 = 0.
0, 1
Let s(h) = -2*h**3 + 8*h**2 - 6*h - 3. Let g be s(3). Let c be g*(-24)/30 + -2. Factor 0 - 6/5*v - c*v**2.
-2*v*(v + 3)/5
Factor 1/2*m**2 - 1/2*m**4 + 0 - 3/2*m + 3/2*m**3.
-m*(m - 3)*(m - 1)*(m + 1)/2
Let s(z) be the third derivative of -10*z**2 - 1/24*z**4 + 0*z + 0 - 1/180*z**5 + 0*z**3. Suppose s(h) = 0. Calculate h.
-3, 0
Solve 3/7*d**2 + 12/7*d + 0 = 0 for d.
-4, 0
Let s be (-4)/10*(4 + -2)*-5. Find w such that -2*w + 2*w**3 + w**s - 19*w**3 + 5*w**2 + 13*w**3 = 0.
0, 1, 2
Find u, given that 4324/3*u**2 - 2209/3*u + 0 - 1/3*u**5 - 674*u**3 - 92/3*u**4 = 0.
-47, 0, 1
Let n be (-6)/30*15/(-2). Let m be (13/(-5) - 1)*(-270)/432. Let m*b + n*b**2 - 3/4*b**3 + 0 = 0. What is b?
-1, 0, 3
Let h(i) = -3*i**4 - 5*i**3 + i**2 + 5*i - 13. Let s = -10 + 15. Let o(v) = 4*v**4 + 4*v**3 - 4*v + 14. Let f(r) = s*o(r) + 6*h(r). Find z, given that f(z) = 0.
-1, 1, 4
Let d = 6331 - 6328. Factor 3 - 9/4*x**2 + 0*x - 3/4*x**d.
-3*(x - 1)*(x + 2)**2/4
Solve 86/11*h + 4 - 4/11*h**2 = 0.
-1/2, 22
Let v(a) be the third derivative of a**8/3360 + a**7/2520 - a**6/360 - a**5/120 + 3*a**4/2 + 24*a**2. Let x(n) be the second derivative of v(n). Factor x(t).
(t - 1)*(t + 1)*(2*t + 1)
Let p be (-3 + 136/56)*84/(-24). Solve 1/2*f**p + 1/2*f + 0 = 0.
-1, 0
Let q(j) be the second derivative of -3*j**7/14 - j**6/15 + 81*j**5/20 - 3*j**4/2 - 58*j**3/3 - 12*j**2 - 44*j + 3. Determine o, given that q(o) = 0.
-3, -1, -2/9, 2
Let q(r) be the third derivative of -r**6/30 - 52*r**5/15 + 2*r**2 + 176. Find d, given that q(d) = 0.
-52, 0
Let o be (4 + 2)/(-1)*3073/(-14). Suppose -92*b**2 + 186*b**4 - o*b**5 + 6*b**4 - 236*b**3 - 8*b + 1461*b**5 = 0. Calculate b.
-2, -1/6, 0, 1
Suppose -2*u + 5 = b, u + 0*u - 3*b - 6 = 0. Factor 0*o**3 + 3*o + 116*o**2 - 110*o**2 + 3*o**u.
3*o*(o + 1)**2
Let r be 0*(242/(-33))/(-22). Factor 4/3*b + 4*b**3 - 16/3*b**2 + r.
4*b*(b - 1)*(3*b - 1)/3
Let i(a) = 8*a**4 + 24*a**3 + 22*a**2 + 13*a - 7. Let w(k) = -k**4 - 2*k**3 + k**2 + k + 1. Let r(f) = -4*i(f) - 28*w(f). Factor r(o).
-4*o*(o + 1)*(o + 4)*(o + 5)
Factor -4/7*r**2 - 24/7 - 20/7*r.
-4*(r + 2)*(r + 3)/7
Let d(u) = 3*u**2 + 3*u + 2. Let l = -71 - -69. Let t(s) = s**2. Let g(j) = l*t(j) + d(j). Find c, given that g(c) = 0.
-2, -1
Let k(m) be the third derivative of -m**6/72 - m**5/12 - 5*m**4/24 + m**3/3 + 15*m**2. Let v(u) be the first derivative of k(u). Suppose v(d) = 0. What is d?
-1
Let x be -6*4/((-32)/(-3)). Let f = x - -35/12. Let 0 + 1/3*y - 1/3*y**5 - f*y**2 + 0*y**3 + 2/3*y**4 = 0. Calculate y.
-1, 0, 1
Let g(o) = -3*o**5 - 3*o**4 + o**3 + 5*o**2 + 2*o. Let q(n) = n**5 - n**3 - n**2. Let l(h) = -2*h. Let s be l(-1). Let d(i) = s*q(i) + g(i). Factor d(v).
-v*(v - 1)*(v + 1)**2*(v + 2)
Find a such that 213*a**3 + 219*a**3 - 436*a**3 - 7*a**2 - 16*a - 6*a**2 - 3*a**2 = 0.
-2, 0
Let v = 30 - 122. Let s = 165 + v. Find q, given that -20*q**2 + 2 - 65*q + 10 + s*q = 0.
-3/5, 1
Suppose -2*m - 2*s = -3*m - 7, -3*m + 14 = s. Suppose 0 = 5*a - m*a - 10. Find o such that a*o**3 - 1 - 3 - 1 + 5*o**2 - 5*o = 0.
-1, 1
Let w(f) be the second derivative of 2*f**6/15 + 28*f**5/5 + 25*f**4 - 8*f**3/3 - 200*f**2 - 71*f. Factor w(s).
4*(s - 1)*(s + 2)**2*(s + 25)
Let j(a) be the third derivative of a**6/60 - a**5/30 - 7*a**4/4 + 15*a**3 + 136*a**2. Suppose j(b) = 0. What is b?
-5, 3
Let m(a) be the first derivative of 1/34*a**4 + 4/17*a**3 + 16/17*a - 2 + 12/17*a**2. Factor m(y).
2*(y + 2)**3/17
Suppose -u + 9 = g + 12, 3*g = 2*u - 19. Suppose u*d**2 + 0 - 2/3*d**3 - 4/3*d = 0. Calculate d.
0, 1, 2
Factor 168/13*x**3 + 0 - 3528/13*x**2 + 0*x - 2/13*x**4.
-2*x**2*(x - 42)**2/13
Let t(d) be the first derivative of d**4/24 - 11*d**3/12 + 5*d**2/2 - 48*d - 12. Let n(a) be the first derivative of t(a). Determine y so that n(y) = 0.
1, 10
Factor -24/5*o**3 + 66/5*o**2 + 27/5 + 3/5*o**4 - 72/5*o.
3*(o - 3)**2*(o - 1)**2/5
Let w be (698/(-7329))/((-1)/7). Suppose -w*z**2 + 0 + 2/3*z**3 + 0*z = 0. Calculate z.
0, 1
Factor 531441/7 + 78732/7*s + 1/7*s**4 + 108/7*s**3 + 4374/7*s**2.
(s + 27)**4/7
Suppose t = -5*i + 6, -11*i - 3*t = -16*i + 22. Factor -11/6*q - 5/6*q**i - 1/2 + 1/2*q**3.
(q - 3)*(q + 1)*(3*q + 1)/6
Let h(t) = 5*t**3 - 30*t**2 + 15*t. Let i(m) = m**2 - m. Let n(v) = -v**3 + 5*v**2 + 5*v + 5. Let q be n(6). Let a(p) = q*h(p) - 25*i(p). What is o in a(o) = 0?
-1, 0, 2
Let y = -8607/7 + 1224. Let a = y - -43/7. Factor 2/7*m**3 - a - 6/7*m**2 - 10/7*m + 2/7*m**4.
2*(m - 2)*(m + 1)**3/7
Let x(z) = -2*z**2 - 8*z + 14. Let t(i) = -3*i + 5. Let q(b) = 14*t(b) - 5*x(b). Factor q(l).
2*l*(5*l - 1)
Let l(t) = -14 + 2*t**2 - 29 + 20 - 45*t. Let y be l(23). Factor -4/3*i**2 - 2/3*i**3 + 0*i + y.
-2*i**2*(i + 2)/3
Let p be 50 + 5 + 0 + 1. Let x be 2/p*-13 - 12/(-16). Suppose -x*b**2 + 0 + 4/7*b = 0. Calculate b.
0, 2
Find t, given that -2*t + 4*t**3 + 8*t**5 - 10*t**5 + 2*t**2 - 2*t**2 = 0.
-1, 0, 1
Let q(h) be the first derivative of 4*h**3/3 - 44*h**2 + 340*h - 575. Solve q(d) = 0.
5, 17
Let o(r) = -r**3 + 3*r**2 + 2. Let z be o(3). Factor w**2 + z*w + 0*w**3 - w**3 + 3*w**4 - w**2 - 3*w**2 - w**5.
-w*(w - 2)*(w - 1)**2*(w + 1)
Let a(p) be the first derivative of -4*p**3/3 + 284*p**2/3 - 188*p/3 + 467. Factor a(m).
-4*(m - 47)*(3*m - 1)/3
Let f be (-57)/(-15) + -1 + -2. Let j be (16/120)/((-13)/(-78)). Suppose -6/5*p - f + j*p**2 = 0. Calculate p.
-1/2, 2
Let p = -62 - -65. Let w(b) be the third derivative of 1/28*b**4 + 0*b + 1/210*b**5 + 0 + 2/21*b**3 - p*b**2. Factor w(a).
2*(a + 1)*(a + 2)/7
Let h(b) be the third derivative of -b**8/672 + b**7/210 - b**6/240 - 19*b**2. Determine q so that h(q) = 0.
0, 1
Let h(s) be the first derivative of -s**4/4 + 4*s**3 - 24*s**2 - 11*s - 17. Let f(r) be the first derivative of h(r). Suppose f(y) = 0. What is y?
4
Factor n**4 + 0*n**3 - 2*n + 5*n**3 - 3*n**3 - 8*n**2 + 7*n**2.
n*(n - 1)*(n + 1)*(n + 2)
Let d = -47 - -41. Let n be d/4*(-6)/27. Factor 0 + n*r**2 - 1/3*r + 1/3*r**3 - 1/3*r**4.
-r*(r - 1)**2*(r + 1)/3
Let a(b) = -9*b**3 - 13*b**2 - 31*b + 151. Let i(v) = v**3 - v**2 + v - 1. Let y(g) = 2*a(g) + 14*i(g). Let y(f) = 0. Calculate f.
-6, 2
Factor 10*c + 2*c**2 - 17 - 26*c - c**2.
(c - 17)*(c + 1)
Let h(y) be the second derivative of y**7/3780 + y**6/180 + y**5/20 + 17*y**4/12 + 10*y. Let o(w) be the third derivative of h(w). Factor o(x).
2*(x + 3)**2/3
Let l(m) = 60*m**3 + 451*m**2 + 151*m. Let b(p) = -12*p**3 - 90*p**2 - 30*p. Let i(a) = -11*b(a) - 2*l(a). Find c, given that i(c) = 0.
-7, -1/3, 0
Let p be (-2)/4 + 36/8. Suppose -12 - p = -m. Solve -48 + 12*a - 3*a**2 - 4*a + m*a = 0.
4
Let k = 829/11 - 75. Let g = 98/33 + k. Let -4/3 - 8/3*j**2 - g*j - 2/3*j**3 = 0. Calculate j.
-2, -1
Let d(l) be the first derivative of l**6/36 + 2*l**5/5 - 29*l**4/12 + 46*l**3/9 - 21*l**2/4