 0 + 0*i**4 - 4*i - 1/70*i**h. Factor c(n).
-2*(n - 1)**2*(n + 2)/7
Find d such that 0*d - 1/5*d**5 + 7/5*d**4 - 16/5*d**3 + 0 + 12/5*d**2 = 0.
0, 2, 3
Factor -21/2 + 21/2*x**2 + 3/2*x**3 - 3/2*x.
3*(x - 1)*(x + 1)*(x + 7)/2
Suppose -1032*m = -1016*m - 1360. Let j be (m/2)/17 + -1. Solve -j*n + 1/4*n**2 + 9/4 = 0 for n.
3
Let r = 39597 + -39597. Let w(j) be the second derivative of 8/9*j**2 - 1/54*j**4 + 2/27*j**3 + r + 8*j. Factor w(c).
-2*(c - 4)*(c + 2)/9
Let n(s) be the second derivative of s**5/10 + 14*s**4/3 + 52*s**3/3 + 545*s. Factor n(f).
2*f*(f + 2)*(f + 26)
Find a, given that 49/2*a + 449/4*a**2 + 309/4*a**3 + 23/4*a**4 - 7/4*a**5 - 18 = 0.
-4, -1, 2/7, 9
Let g be 117/429*385/84. Let s(r) be the first derivative of -20/3*r**3 - 10*r**2 - 34 + 0*r - g*r**4. Find i, given that s(i) = 0.
-2, 0
Let a(k) be the third derivative of -135*k**2 + 0 + 0*k - 3/4*k**4 - 3/2*k**3 + 49/240*k**5 + 1/60*k**6 - 1/168*k**7. Suppose a(q) = 0. What is q?
-3, -2/5, 2, 3
Factor 3605714784 + 1/2*x**3 + 5598936*x + 2898*x**2.
(x + 1932)**3/2
Let t(r) be the first derivative of r**5/450 - r**4/180 + 211*r**2/2 - 156. Let l(n) be the second derivative of t(n). What is x in l(x) = 0?
0, 1
Let f(i) be the first derivative of -25*i**3/3 + 415*i**2/2 - 1540*i + 3598. Let f(y) = 0. What is y?
28/5, 11
Let s = 107223 - 321544/3. What is h in 46/3*h**3 - 13/3*h**4 - s + 10/3*h**2 - 175/3*h + 1/3*h**5 = 0?
-1, 5
Let n(x) be the second derivative of 2*x**6/105 + 4*x**5/35 + 2*x**4/21 - 8*x**3/21 - 6*x**2/7 - 1009*x. Find v such that n(v) = 0.
-3, -1, 1
Let j(p) be the first derivative of 121*p**3/7 - 1809*p**2/14 - 30*p/7 - 6360. Let j(t) = 0. Calculate t.
-2/121, 5
Factor 36*p**2 - 357/5*p + 178/5 - 1/5*p**3.
-(p - 178)*(p - 1)**2/5
Let i(b) be the third derivative of -2*b**2 + 0 - 7/12*b**5 + 20/3*b**3 - 3/8*b**6 - 1/42*b**7 + 15/8*b**4 + 62*b. Factor i(g).
-5*(g - 1)*(g + 1)**2*(g + 8)
Let h(f) = -3*f**2 - 40*f - 100. Let r be h(-10). Let t(z) be the first derivative of r*z + 3*z**4 + 9/2*z**6 + 12*z**5 + 12 + 0*z**2 + 0*z**3. Factor t(d).
3*d**3*(d + 2)*(9*d + 2)
Let h = 34623 + -34619. Factor 1/3*o**3 - 1/3*o**5 + 0 + 1/3*o**2 + 0*o - 1/3*o**h.
-o**2*(o - 1)*(o + 1)**2/3
Let a(p) = -p**2 - 20*p - 101. Let m be a(-10). Let k be (m - (-12)/(-4)) + 176/40. Factor -2/5*r**2 + 0 - k*r.
-2*r*(r + 1)/5
Let g(s) = -9*s**2 + 2*s. Let a(o) = 59*o**2 + 1948*o. Let n(b) = -a(b) - 6*g(b). Suppose n(t) = 0. What is t?
-392, 0
Let x be 1*1/(-1) + -27 + 67. Let v = x + -37. Solve 10*m + 5*m**3 + 0*m**3 - 16*m**v - 3*m**2 + 4*m**2 = 0.
0, 1, 2
Let r = -311 - -322. Suppose j - 24 = -r*j. Factor 3/5 + 3/5*l**j - 6/5*l.
3*(l - 1)**2/5
Let d = -815663/7 - -116110. Let w = -413 - d. Find g, given that -10/7*g**2 + w*g**4 - 2/7*g**5 + 6/7*g**3 + 0 + 4/7*g = 0.
-2, 0, 1
Suppose 24 = 4*w - 4*j, 2*w + j = w. Suppose -w*m + 12 = 5*q, 18*m - 6 = -q + 21*m. Factor -2/3*b + 0 - 2/9*b**q - 8/9*b**2.
-2*b*(b + 1)*(b + 3)/9
Let j = 79167 - 79164. Factor 3/2*t**j + 252*t + 75/2*t**2 + 216.
3*(t + 1)*(t + 12)**2/2
Let f(p) = p**5 + p**3 - p. Let l(w) = 69*w**2 - 3*w**4 - 93*w**2 - 5*w**4 - 17*w**3 - 14*w + 4*w**5. Let n(q) = -20*f(q) + 4*l(q). Solve n(m) = 0.
-3, -1, 0
Factor 3/2*y**2 - 2070*y + 714150.
3*(y - 690)**2/2
Let -176*r**3 + 151*r**3 + 64*r**3 + 198*r**3 - 10*r**2 + 328*r**3 = 0. Calculate r.
0, 2/113
Suppose 0*d + 60 = -5*f - 3*d, -5*d - 5 = 2*f. Let k be (0 - -3*(-12)/f)/1. Factor -18/5 - 2/5*z**2 + k*z.
-2*(z - 3)**2/5
Factor 0 - 15/4*j**3 + 0*j - j**4 + j**2.
-j**2*(j + 4)*(4*j - 1)/4
Let a(d) = 20*d**4 - 80*d**3 - 32*d**2 - 48*d + 16. Let x(j) = -6*j**4 + 26*j**3 + 11*j**2 + 15*j - 5. Let i(l) = 5*a(l) + 16*x(l). Factor i(b).
4*b**2*(b + 2)**2
Let f(c) = c**2 - 2*c - 2. Let b(z) = z - 1 + 2*z + 3 + 29*z**2 - 30*z**2. Let u(v) = -3*b(v) - 4*f(v). Factor u(n).
-(n - 1)*(n + 2)
Let o(z) = -4*z**2 - 3108*z + 1207455. Let c(t) = 2*t**2 + 3108*t - 1207456. Let u(g) = -3*c(g) - 2*o(g). Suppose u(b) = 0. Calculate b.
777
Let d(k) be the third derivative of k**6/120 + 23*k**5/20 + 5*k**2 + 53. Suppose d(n) = 0. Calculate n.
-69, 0
Let w be 88/64*8 - 40/(-16). Let d(o) be the first derivative of -4 + 107/16*o**4 + 9/10*o**5 + 1/24*o**6 - 54*o - w*o**2 + 33/2*o**3. Factor d(g).
(g - 1)*(g + 1)*(g + 6)**3/4
Let t(p) be the first derivative of p**3/3 + 7*p**2 - 13*p - 20. Let b be t(-15). Solve -18*i**b + 14*i + 13*i**2 - 9*i = 0 for i.
0, 1
Let f = -1/278 + -2713/18626. Let l = 47/134 - f. Factor 0 + 1/2*t**2 + 1/2*t**3 - 1/2*t**4 - l*t.
-t*(t - 1)**2*(t + 1)/2
Let g be (-2 + (-104)/(-20))/(951/50). Let k = g + -1/634. Factor 1/6*q**2 - k*q - 1.
(q - 3)*(q + 2)/6
Factor -83*s - 201*s - 10*s + 33 - 27*s**2.
-3*(s + 11)*(9*s - 1)
Factor -85*l**3 + 32*l - 2*l**4 + 85*l**3 - l**4 - 24*l**2 - 12 + 7*l**4.
4*(l - 1)**3*(l + 3)
Let t(f) be the third derivative of f**8/18 - 37*f**7/105 + 269*f**6/360 - f**5/2 - 19*f**4/72 + f**3/3 + 9897*f**2. Solve t(o) = 0.
-1/4, 3/14, 1, 2
Let f(u) be the first derivative of 49*u**5/30 - 665*u**4/24 - 2609*u**3/9 + 785*u**2/3 - 76*u + 225. Solve f(y) = 0.
-6, 2/7, 19
Let g(t) be the third derivative of t**8/168 + 47*t**7/105 + 221*t**6/20 + 289*t**5/6 - 4913*t**4/3 + 1977*t**2. Factor g(w).
2*w*(w - 4)*(w + 17)**3
Factor 255/7*a**2 - 396/7*a - 38/7*a**3 - 1/7*a**4 + 0.
-a*(a - 3)**2*(a + 44)/7
Let w(n) be the first derivative of 0*n - 2/15*n**5 + 2/9*n**3 - 1/3*n**2 - 122 + 1/6*n**4. Let w(k) = 0. Calculate k.
-1, 0, 1
Let k(i) = 35*i**4 - 28*i**3 - 5*i**2 + 2*i + 168. Let m(t) = 106*t**4 - 83*t**3 - 16*t**2 + 7*t + 588. Let y(d) = 7*k(d) - 2*m(d). Factor y(g).
3*g**2*(g - 1)*(11*g + 1)
Let t(n) be the first derivative of 3*n**4/8 + 11*n**3/2 + 51*n**2/2 + 36*n + 4063. Factor t(q).
3*(q + 1)*(q + 4)*(q + 6)/2
Factor 1482*g - 2787*g + 494*g**2 + 811*g**2 + 1302*g.
3*g*(435*g - 1)
Let t = -41198 + 5932483/144. Let g = 1/48 - t. Factor -g*f**4 + 2/9*f + 2/3*f**3 + 0 - 2/3*f**2.
-2*f*(f - 1)**3/9
Suppose -v = -3*c - 45, -37 - 58 = -4*v - 5*c. Factor 6*o + 0*o**4 + 3 - 35*o**3 + 95*o**3 - 36*o**3 - 3*o**4 - v*o**3.
-3*(o - 1)*(o + 1)**3
Let n(x) be the second derivative of x**5/70 + x**4/2 + 95*x**3/21 + 75*x**2/7 - 3166*x. Factor n(w).
2*(w + 1)*(w + 5)*(w + 15)/7
Let z(d) be the second derivative of d**7/70 - 519*d**6/50 + 202797*d**5/100 - 67081*d**4/20 + d + 2966. What is t in z(t) = 0?
0, 1, 259
Let u(k) be the second derivative of -k**7/91 - 4*k**6/15 - 253*k**5/130 - 34*k**4/13 + 256*k**3/39 + 256*k**2/13 + 2745*k. Let u(r) = 0. Calculate r.
-8, -4/3, -1, 1
Factor 176/7*p - 20/7*p**2 - 48.
-4*(p - 6)*(5*p - 14)/7
Let j = 13 + -11. Let g(o) = o**4 - o**3 - o - 1. Let y(n) = -3*n**4 - 2*n**3 - 3*n**2 + 6*n + 6. Let l(c) = j*g(c) + y(c). Factor l(q).
-(q - 1)*(q + 1)*(q + 2)**2
Let u be (9/(-18))/((-756)/750 + 1). Let o(c) be the third derivative of 0 + 16*c**2 + u*c**3 + 75/8*c**4 + 1/40*c**6 + 0*c + 3/4*c**5. Factor o(z).
3*(z + 5)**3
Solve -114/11*h**2 + 1/11*h**3 + 444/11*h - 40 = 0 for h.
2, 110
Let y = 1960/3 + -1436683/2199. Let k = 740/5131 + y. Factor -1/7*q**5 + 2/7*q**3 - k*q**4 + 0*q + 0 + 0*q**2.
-q**3*(q - 1)*(q + 2)/7
Suppose -33*g = -35*g + 5*t, g = 5*g + 3*t. Let n(b) be the third derivative of -8*b**2 + 0*b - 7/30*b**5 + g - 4/3*b**3 - 4/3*b**4. Factor n(z).
-2*(z + 2)*(7*z + 2)
Let c be (-1 + -1)/(-4 - 8/24*-8). Let y(v) be the first derivative of 1/3*v**6 + 0*v**2 + c*v**4 - 32 + 0*v + 2/3*v**3 + 6/5*v**5. Let y(z) = 0. What is z?
-1, 0
Determine l, given that 964 + 55240*l**2 - 27623*l**2 - 2*l**3 + 5*l**3 + 27*l - 27659*l**2 + 8 = 0.
-4, 9
Let v(s) be the first derivative of s**7/420 + s**6/90 - s**5/60 - s**4/6 + 2*s**3 + 3*s - 115. Let j(u) be the third derivative of v(u). Factor j(h).
2*(h - 1)*(h + 1)*(h + 2)
Let p(z) = 11*z**4 - 8*z**2 - 4*z - 4. Let m(u) = -2*u**4 - u**2 + u + 1. Let f be (5/(5/1) - 5) + 5. Let h(y) = f*p(y) + 4*m(y). Factor h(b).
3*b**2*(b - 2)*(b + 2)
Let r be (6 + -4)*(-9 + 2). Let h = 15 - r. Let -h*f**2 - 3*f + f + 30*f**2 = 0. What is f?
0, 2
Let n = 615/13 + -9827/208. Let v(g) be the first derivative of -1/8*g**5 - 1/16*g**4 - 18 + 5/12*g**3 - 5/8*g + 1/48*g**6 + n*g**2. Let v(b) = 0. Calculate b.
-1, 1, 5
Let o(a) = 4*a**2 - 39*a + 28. Let t(g) = 2*g**2 - 19*g + 7 + 2 + 7 - 2. Let s(m) = -6*o(m) + 14*t(m). 