 be the second derivative of -3*o**5/20 + 239*o**4/2 - 10184*o. Factor k(i).
-3*i**2*(i - 478)
Let w be -2 + (-4 - -3 - -8). Factor 129*x**5 + 3*x**2 - 67*x**w - 63*x**5 + x**4 + 5*x**3.
-x**2*(x - 3)*(x + 1)**2
Let q(f) be the first derivative of f**5/35 + f**4/7 - 260*f**3/7 - 6451. Let q(j) = 0. Calculate j.
-30, 0, 26
Let w(f) = 123*f - 23. Let a be w(1). Let p = -1 + 3. Factor 3*c**2 + a - c**2 + 2*c**p - 40*c + 0*c**2.
4*(c - 5)**2
Suppose 13*v + 1/3*v**2 - 82/3 = 0. What is v?
-41, 2
Let o(h) be the first derivative of -1/70*h**5 - 5/42*h**4 - 11 - 18*h + 0*h**2 + 0*h**3. Let r(x) be the first derivative of o(x). Factor r(w).
-2*w**2*(w + 5)/7
Let x(q) = 8*q**2 + 8*q + 4. Suppose -5 = -14*b - 19. Let s be x(b). Suppose 2*r + 0 + 20/3*r**s - 8/3*r**2 - 6*r**3 = 0. Calculate r.
-3/5, 0, 1/2, 1
Find o, given that -200/3 - 598/9*o + 2/9*o**2 = 0.
-1, 300
Let a(s) be the third derivative of s**8/2016 - s**7/7 + 2741*s**6/180 - 117469*s**5/180 + 170569*s**4/48 + 1026895*s**3/18 - 2298*s**2. Factor a(w).
(w - 59)**3*(w - 5)*(w + 2)/6
Let u(c) be the third derivative of 7*c**4/6 - 4*c**3 - 112*c**2 - 2. Let r be u(1). Determine x, given that 2/7*x**r + 0*x + 0*x**3 - 4/7*x**2 + 2/7 = 0.
-1, 1
Let k be (2200/2178)/((-30)/(-135)). Factor -k + 7/11*r**3 - 72/11*r**2 + 195/11*r.
(r - 5)**2*(7*r - 2)/11
Let i(x) be the third derivative of -x**6/15 + 119*x**5/15 + 479*x**4/48 + 5*x**3 + 345*x**2 + 2*x - 1. Find n such that i(n) = 0.
-1/4, 60
Suppose -194508500 + 40351*x**3 - 2837*x**2 - 40347*x**3 + 1598700*x - 1543*x**2 = 0. Calculate x.
365
Let o be (-2 + 533/82)*(-2)/(-3). Let -24/5*v - 6/5*v**o + 0 - 9/5*v**4 + 3/5*v**5 + 36/5*v**2 = 0. What is v?
-2, 0, 1, 2
Let m(n) be the third derivative of -n**8/84 + 2*n**7/105 + n**6/30 - n**5/15 + n**2 - 268. Factor m(o).
-4*o**2*(o - 1)**2*(o + 1)
Let w(t) = -t + 12. Let c be w(9). Suppose c*k = 7*k - 8. Solve -16*j - 10*j**2 - j**2 - 2*j**4 + 8 + 4*j**3 + 17*j**k = 0.
-2, 1, 2
Suppose -4*x - 80 = -3*k, -5*x + 10 = -10. Suppose 20 = 187*h - 182*h. Determine q so that 13*q**2 + h*q + q**2 + 32 + 10*q**3 - k = 0.
-1, -2/5, 0
Let i(z) = z**3 + 13*z**2 - 48*z - 48. Let f(h) = h**3 + 14*h**2 - 49*h - 44. Let l(p) = -2*f(p) + 3*i(p). Determine k, given that l(k) = 0.
-14, -1, 4
Let v be 1/(-26) + 1782/702. Let m(c) be the second derivative of 8*c + v*c**3 + 0*c**2 - 5/12*c**4 + 0. Factor m(r).
-5*r*(r - 3)
Let z(m) be the second derivative of m**4/4 - 203*m**3/2 + 303*m**2 + 4686*m. Find d such that z(d) = 0.
1, 202
Let k(q) = 86*q**2 - 1242*q - 3733. Let t(h) = -7*h**2 - h + 1. Let p(x) = k(x) + 13*t(x). Factor p(s).
-5*(s + 3)*(s + 248)
Let h(y) be the first derivative of 2*y**3/27 + 19*y**2 - 344*y/9 + 2441. Factor h(i).
2*(i - 1)*(i + 172)/9
Let w(z) = -z**3 + 2*z**2 + 6*z - 3. Let f be w(3). Suppose -2*t - m + 2 = -f*m, t + 3*m = 12. Factor 0*s**2 + 18*s - 23*s + t*s**2 - s**2.
5*s*(s - 1)
Suppose 0 = -48*i - 48*i + 288. Let l(g) be the second derivative of -1/165*g**6 - 1/110*g**5 + 0 + 0*g**2 + 0*g**i + g + 0*g**4. Factor l(b).
-2*b**3*(b + 1)/11
Let d = 110897 + -110895. What is o in 0*o**3 + 1/9*o**4 + 0*o**d + 0*o + 0 = 0?
0
Let z(g) be the second derivative of -g**6/6 + 366*g**5 - 334890*g**4 + 163426320*g**3 - 44860524840*g**2 + 31*g - 44. Find l such that z(l) = 0.
366
Suppose -4*t + 2*q + 400 = -772, 0 = 4*q. Factor t + 5*v**2 + 19 + 90*v + 202 - 109.
5*(v + 9)**2
Let h(i) = i**3 + 15*i**2 - 35*i - 15. Let s be h(-17). Suppose -3*m = 2*t - 5*t - 21, 0 = m + s*t + 5. Factor -4/3*u**2 - 2/3*u - 2/3*u**m + 0.
-2*u*(u + 1)**2/3
Let c = -659 + 664. Let o = 12 + 4. Factor -32*m**2 + 112*m**3 - 11*m**c + 35*m**4 + 47*m**5 - 123*m**4 - o*m**5.
4*m**2*(m - 2)**2*(5*m - 2)
Let a be (-77)/((-11)/1) - 22. Let p be 2 + (-220)/a - -6. What is u in 12 + p*u - 8/3*u**2 = 0?
-1/2, 9
Factor 2*s**5 + 23853*s**3 + 2*s**4 - 7*s**2 - 3*s**2 - 4*s - 23859*s**3.
2*s*(s - 2)*(s + 1)**3
Let a(d) be the third derivative of d**9/7560 - d**8/4200 - d**7/2100 + d**6/900 - 10*d**3 - 5*d**2 + 6. Let n(v) be the first derivative of a(v). Factor n(s).
2*s**2*(s - 1)**2*(s + 1)/5
Let y(m) = -m**3 + m**2. Let c(q) = -10*q**3 + 5*q**2 - 5*q + 10. Suppose 180 = d - 6*d. Let f = -51 - d. Let l(v) = f*y(v) + c(v). Factor l(a).
5*(a - 2)*(a - 1)*(a + 1)
Let z(a) be the first derivative of -4*a**3/9 - 152*a**2/3 - 1162. Let z(v) = 0. What is v?
-76, 0
Let z(c) be the third derivative of 2*c**7/945 + 4*c**6/135 - 3*c**5/5 + 26*c**4/27 + 280*c**3/27 - 968*c**2 - 1. Solve z(a) = 0 for a.
-14, -1, 2, 5
Let c(w) be the first derivative of w**5/5 + 3*w**4/2 - 16*w**2 - 852. Find h such that c(h) = 0.
-4, 0, 2
Suppose -810*i = -77 - 2353. Factor 0 - 9/5*a**i - 3/5*a**4 + 0*a**2 + 0*a.
-3*a**3*(a + 3)/5
Solve -62/15*j**2 + 26/3*j - 2/15*j**3 - 22/5 = 0.
-33, 1
Let m(l) = 22*l - 941. Let s be m(43). Let f(g) be the third derivative of 0*g - 1/360*g**6 + 1/60*g**s + 0*g**3 + 0 - 24*g**2 - 1/36*g**4. Solve f(q) = 0.
0, 1, 2
Let g = 13343/66690 + -1/13338. Factor -3/5*f + 1/5 + 3/5*f**3 - g*f**2.
(f - 1)*(f + 1)*(3*f - 1)/5
Let p(i) be the first derivative of 5*i**6/6 - 22*i**5 + 325*i**4/2 - 1340*i**3/3 + 1145*i**2/2 - 350*i + 538. Find s, given that p(s) = 0.
1, 5, 14
Let u be (-2696)/(-168) + -6 - (-58)/87. Factor -u*n + 87/7*n**2 + 12/7*n**3 - 24/7.
3*(n - 1)*(n + 8)*(4*n + 1)/7
Let c = 463 + -467. Let r be (-4)/c + (-9)/((-45)/4). Factor -r*o - 13/5*o**2 - 2/5 - 6/5*o**3.
-(o + 1)*(2*o + 1)*(3*o + 2)/5
Factor -2/11*l**3 - 1118/11*l + 172/11*l**2 + 948/11.
-2*(l - 79)*(l - 6)*(l - 1)/11
Suppose 23 = -16*p + 55. Suppose 3*v + 5*i = 42, 5*v - 2*v = 4*i + 42. Factor -11*w**3 + 0*w**3 + p*w**3 + 5*w**2 + v*w**3.
5*w**2*(w + 1)
Let b(x) = 3*x**2 + 48*x + 574. Let s(n) = 7*n**2 + 96*n + 1147. Let i = -152 - -156. Let q(h) = i*s(h) - 10*b(h). Factor q(z).
-2*(z + 24)**2
Suppose -2*w + 47*m = -807, 4*w + 4*m = 13 - 65. Let 16/7*u - 23/7*u**2 - 6/7*u**w - 25/7*u**3 + 20/7 = 0. What is u?
-2, -1, 5/6
Factor 3 + 625/3*h**2 + 50*h.
(25*h + 3)**2/3
Suppose -2205*p - 210 = -2247*p. Let c(s) be the first derivative of -6/5*s**p - 4 + 0*s - 3/4*s**4 + 1/2*s**6 + 2*s**3 + 0*s**2. Let c(h) = 0. Calculate h.
-1, 0, 1, 2
Let g = -65 - -781/12. Let q(l) be the third derivative of 0*l + 1/45*l**5 + 0 + 0*l**3 + g*l**4 - 8*l**2. Factor q(d).
2*d*(2*d + 3)/3
Let t = 93 + -91. Suppose 4*w + 6*b = b + 33, -t*w + 29 = 5*b. Solve 22*z**w - 10*z**2 - 2*z**3 - 3*z**4 - 4*z**3 + 24*z = 0.
-2, 0, 2
Let f(q) be the first derivative of 0*q - 5/16*q**4 + 1/4*q**3 + 1/4*q**2 - 100. Factor f(u).
-u*(u - 1)*(5*u + 2)/4
Let g(o) be the first derivative of -51*o**3/2 + 165*o**2/4 - 6*o + 1657. Suppose g(h) = 0. What is h?
4/51, 1
Determine s, given that 42/5*s**2 - 1/5*s**3 - 82/5 - 39/5*s = 0.
-1, 2, 41
Let d = 84 - 82. What is g in -5*g**3 - 16*g - 59*g - 115 + 80 - 45*g**d = 0?
-7, -1
Suppose -727/4*t - 7/4*t**5 - 277*t**2 - 34*t**4 - 39 - 333/2*t**3 = 0. Calculate t.
-13, -4, -1, -3/7
Let i(z) be the third derivative of 34/945*z**7 + 0 + 23/270*z**6 + 4/45*z**5 + 17*z + 1/108*z**4 - z**2 + 1/168*z**8 - 2/27*z**3. Factor i(w).
2*(w + 1)**4*(9*w - 2)/9
Let v(a) be the second derivative of -a**8/13440 + a**7/2240 - a**5/240 + 19*a**3/6 - 3*a**2/2 - 143*a. Let c(s) be the second derivative of v(s). Factor c(z).
-z*(z - 2)**2*(z + 1)/8
Suppose 104*u - 26 = 102*u. Factor u + 80*t**3 - 2*t - 79*t**3 - 3 - 10*t**2 + t.
(t - 10)*(t - 1)*(t + 1)
Let y(w) = -8*w**2 + 8 + 2*w**2 - 16*w - 20*w**3 + 5*w**2 + 8. Let n(b) = -7*b**3 - 5*b + 6. Let t(c) = -17*n(c) + 6*y(c). What is k in t(k) = 0?
-3, -2, -1
Suppose -13*a - 1437 = 2697. Let t = -316 - a. Suppose 0*r - 3/7*r**3 + 0 + 3/7*r**t = 0. What is r?
0, 1
Let v(b) be the third derivative of -5*b**8/672 - 3*b**7/28 + 115*b**6/48 + 29*b**5/24 - 265*b**4/8 - 280*b**3/3 + b**2 + 191*b + 5. What is i in v(i) = 0?
-16, -1, 2, 7
Let o(f) be the third derivative of 0*f**6 - 2*f + 1/600*f**5 + 0 - 1/700*f**7 + 0*f**3 + 0*f**4 + 74*f**2 - 1/1680*f**8. Factor o(t).
-t**2*(t + 1)**2*(2*t - 1)/10
Let r be -39*(15/((-1350)/(-20)) + 3*17/(-108)). Suppose -r*n**3 + 9 + 1/4*n**4 - 109/4*n + 111/4*n**2 = 0. What is n?
1, 36
Let q(h) be the second derivative of 22/9*h**3 + 37/36*h**4 + 2*h**2 + 1 + 1/12*h**5 - 30*h. Factor q(j).
(j + 1)*(j + 6)*(5*j + 2)/3
