hird derivative of a*d**5 + 5/14*d**3 - 3/28*d**4 + 0*d + 4*d**2 + 0. Find x, given that h(x) = 0.
1, 5
Let v(i) be the second derivative of -3*i**5/100 - 387*i**4/20 - 7527*i**3/2 - 111747*i**2/10 + 2*i - 1042. Factor v(u).
-3*(u + 1)*(u + 193)**2/5
Let v be ((-31807)/51)/(-2 + -83). Let r = v + -103/15. Find x, given that 8/17*x + 2/17*x**4 - 8/17 + 6/17*x**2 - r*x**3 = 0.
-1, 1, 2
Let a(y) be the second derivative of -y**4/36 + 17*y**3/6 + 53*y**2/3 - 283*y - 2. Factor a(o).
-(o - 53)*(o + 2)/3
Let g(w) be the first derivative of -2*w**5/15 + 3*w**4/2 + 2*w**3 - 121*w**2/3 - 80*w - 3691. Let g(k) = 0. Calculate k.
-3, -1, 5, 8
Let b(p) = 8*p**2 - 3*p - 21. Let h = -2 + 11. Let n(g) = 20*g**2 - 8*g - 10 + 0 - h - 33. Let j(q) = 12*b(q) - 5*n(q). Factor j(r).
-4*(r - 2)*(r + 1)
Let j(v) be the first derivative of 2/3*v + 3/10*v**5 + 15 - 5/3*v**2 + 37/18*v**3 - 5/4*v**4. Factor j(f).
(f - 1)**2*(3*f - 2)**2/6
Suppose 3763 = 4*u - j, -6*j + j + 2828 = 3*u. Let z = 943 - u. Let -294/5*q - 2/5*q**3 - 42/5*q**z - 686/5 = 0. What is q?
-7
Suppose 1203*s + 808/3*s**3 - 558 - 1/3*s**5 - 28*s**4 - 886*s**2 = 0. Calculate s.
-93, 1, 2, 3
Let u(j) be the third derivative of j**6/480 + j**5/15 + 23*j**4/32 + 15*j**3/4 - 1656*j**2 - 2*j. Solve u(h) = 0 for h.
-10, -3
Suppose 2*j = 2*u - u - 37, -5*u = -2*j - 145. Find v, given that 170*v + 7*v**3 - 26*v + u*v**3 - 84*v**2 - 18*v**3 - 80 = 0.
5/4, 2
Let k(t) be the second derivative of t**8/26880 + t**7/10080 - t**6/1440 - 13*t**4/4 + t + 18. Let a(f) be the third derivative of k(f). Factor a(c).
c*(c - 1)*(c + 2)/4
Let o be -1 + 8 + -23 + 22. Let -g**2 - o*g**2 - 3*g**3 + 10*g**2 + 3*g - 3 = 0. Calculate g.
-1, 1
Suppose -4*b + 70 = 2*v, -3*v - 66 = -3*b - 0*v. Factor -28 - 9*l + 7*l - 42 - 4*l + 5*l**2 - b*l.
5*(l - 7)*(l + 2)
Let h be (-52)/26 + 1 + -2. Let c(y) = -5*y**2 - 6*y + 20. Let i(s) = -10*s**2 - 10*s + 40. Let w(o) = h*i(o) + 5*c(o). Suppose w(k) = 0. What is k?
-2, 2
Let j(x) be the first derivative of -x**6/220 + x**5/330 - x**3/3 - 4*x + 77. Let b(u) be the third derivative of j(u). Find l, given that b(l) = 0.
0, 2/9
Suppose -i = -0*c - 4*c + 18, -i = 4*c - 14. Factor -15*u + 55*u**3 - 20*u**3 - 35*u**2 + 0*u**2 + 15*u**c + 0*u**2.
5*u*(u - 1)*(u + 3)*(3*u + 1)
Let p(l) = -l**2 + 1. Let g(y) = -8 - y + 0*y**2 + 10*y**3 + 2*y + 13*y**3 + 8*y**2 - 24*y**3. Let q(b) = -4*g(b) - 36*p(b). Solve q(o) = 0 for o.
-1, 1
Suppose 5*p + 27*u = 28*u + 30, p = -u. Let m(h) be the first derivative of -8 - 2*h**2 + 2*h**4 + 4/5*h**p - 2/3*h**6 - 8/3*h**3 + 4*h. Solve m(f) = 0 for f.
-1, 1
Let h(x) be the first derivative of x**3/6 + 23*x**2/2 + 204*x - 7058. Factor h(g).
(g + 12)*(g + 34)/2
Let m = 22355 + -22355. Factor -10/19*g**3 + 8/19*g**4 + m + 4/19*g**2 - 2/19*g**5 + 0*g.
-2*g**2*(g - 2)*(g - 1)**2/19
Let t(a) be the first derivative of -2*a**5/45 - 23*a**4/18 + 152*a**3/27 - 52*a**2/9 - 1037. Suppose t(f) = 0. Calculate f.
-26, 0, 1, 2
Let t(a) be the third derivative of -a**6/660 + 46*a**5/165 + 95*a**4/33 + 128*a**3/11 - 24*a**2 + 2*a + 6. Factor t(h).
-2*(h - 96)*(h + 2)**2/11
Factor -1/4*p**2 - 57*p + 0.
-p*(p + 228)/4
Let b = 2327455/221662 + -2/110831. Solve 36*a - b*a**2 + 1/2*a**3 - 34 = 0.
2, 17
Let x(n) = -4*n**2 - 4*n. Let h(p) = 2*p + 3*p**2 - 4*p**2 + 2*p - p. Let w(r) = 2*h(r) - x(r). Find g such that w(g) = 0.
-5, 0
Let 688*o**4 + 6692*o**3 + 171639*o**2 - 981*o + 2048 + 20*o**5 + 10453*o - 158191*o**2 = 0. What is o?
-16, -1, -2/5
Let l(o) = 15*o**2 - 30*o - 37. Let i(k) = 4503*k**2 - 2257*k**2 + 13 - 2256*k**2 + 20*k + 12. Let u = 6 - -2. Let y(j) = u*i(j) + 5*l(j). Factor y(s).
-5*(s - 3)*(s + 1)
Let f = 79970/359919 - -4/119973. What is g in f*g**3 + 14/3*g + 0 - 20/9*g**2 = 0?
0, 3, 7
Factor 900/7 + 8*i**2 - 410/7*i - 2/7*i**3.
-2*(i - 18)*(i - 5)**2/7
Let z(s) = -s**4 + 181*s**2 + 188*s + 8. Let v(c) = -60*c**2 - 63*c - 3. Let u(g) = -8*v(g) - 3*z(g). Find t such that u(t) = 0.
-4, -1, 0, 5
Let u(n) be the third derivative of n**7/35 + 13*n**6/100 - 18*n**5/25 - 7*n**4/5 + 16*n**3/5 + 75*n**2 + 11. What is w in u(w) = 0?
-4, -1, 2/5, 2
Find f such that -64*f + 55*f - 19 - 59 - 34 + 69*f - 2*f**2 = 0.
2, 28
Let i(y) be the third derivative of y**5/210 + 543*y**4/14 + 884547*y**3/7 - 391*y**2 + 4. Solve i(f) = 0 for f.
-1629
Let s(x) be the first derivative of -x**4/10 + 76*x**3/5 + 683. Factor s(u).
-2*u**2*(u - 114)/5
Let m(q) be the second derivative of 0*q**2 + 34*q + 1/3*q**3 + 0 - 1/30*q**6 + 1/12*q**4 - 1/10*q**5. What is g in m(g) = 0?
-2, -1, 0, 1
Let x(p) be the third derivative of p**8/84 + 4*p**7/105 - 3*p**6/5 + 32*p**5/15 - 23*p**4/6 + 4*p**3 - 610*p**2. Solve x(r) = 0 for r.
-6, 1
Suppose 20 = 7*v + 3*v. Find i, given that 729*i + 0*i**3 + 6*i**v - 60*i**2 + 5*i**3 - 4*i**3 = 0.
0, 27
Let f(m) be the third derivative of -m**5/80 + 239*m**4/24 + 319*m**3/24 - 5*m**2 - m + 85. Factor f(l).
-(l - 319)*(3*l + 1)/4
Let j(s) = 2*s - 32. Let r = -27 + 47. Let x be j(r). Let t(m) = 4*m**2 - 64*m - 256. Let g(p) = -p**2. Let u(y) = x*g(y) + t(y). What is n in u(n) = 0?
-8
Find f, given that -1103*f - 67*f**2 - 65*f**2 + 359*f - 530 - 218 + 136*f**2 = 0.
-1, 187
Let d(c) = 8*c**2 + 98*c - 86. Let j(t) = 52*t**2 + 636*t - 560. Let n(x) = 32*d(x) - 5*j(x). Determine l, given that n(l) = 0.
-12, 1
Let a(q) be the first derivative of q**6/3 + 74*q**5/5 + 35*q**4/2 - 74*q**3/3 - 36*q**2 - 86. Find h, given that a(h) = 0.
-36, -1, 0, 1
Let c(j) = -j**3 - 18*j**2 + 11*j - 150. Let t be c(-19). Factor -20/7 - t*h - 2/7*h**2.
-2*(h + 2)*(h + 5)/7
Let n(a) be the second derivative of -a**6/6 + 23*a**5/4 - 215*a**4/12 + 35*a**3/2 + 1601*a. Determine b so that n(b) = 0.
0, 1, 21
Let q = -3/6962 + 41793/48734. Solve -2/7*c**3 + 10/7*c**2 + 0 - q*c - 2/7*c**4 = 0.
-3, 0, 1
Let d(q) = 40*q - 3720. Let p be d(93). Let t(i) be the second derivative of 4/9*i**3 - i - 2/45*i**6 + p*i**2 - 1 + 4/15*i**5 - 5/9*i**4. Factor t(h).
-4*h*(h - 2)*(h - 1)**2/3
Suppose 10*q**2 + 6*q**4 - 84*q - 16*q**4 - q**4 + 3*q**3 - 48 + 14*q**4 - 46*q**2 = 0. Calculate q.
-2, -1, 4
Let s(d) be the second derivative of 1/270*d**5 + 0 + 6*d + 17/2*d**2 + 1/108*d**4 + 0*d**3. Let t(q) be the first derivative of s(q). Factor t(b).
2*b*(b + 1)/9
Suppose 2*o = 2950 - 4000. Let l = o + 2628/5. Find d such that 3/5*d**3 - l*d**4 - 6/5 - 3/5*d + 9/5*d**2 = 0.
-1, 1, 2
Suppose -17*l + 7 = -16*l. Suppose 0 = -u - 3*y + 18, -4*u + 4*y = -l - 1. Factor -5*z**4 - 26*z**5 - 4*z**4 + 23*z**5 - u*z**3 + 0*z**3.
-3*z**3*(z + 1)*(z + 2)
Let m(k) be the first derivative of 2*k**6/3 - 72*k**5/5 + 60*k**4 - 224*k**3/3 + 478. Factor m(f).
4*f**2*(f - 14)*(f - 2)**2
Let l = -2/2847 - -8621/113880. Let j(i) be the first derivative of -l*i**5 - 15/32*i**4 - 13 - i**3 + 0*i - 3/4*i**2. Factor j(y).
-3*y*(y + 1)*(y + 2)**2/8
Let b(u) = -19*u**2 + 627*u + 92. Let l(s) = -3*s**2 + 9*s - 1. Let t(g) = b(g) - 2*l(g). Factor t(p).
-(p - 47)*(13*p + 2)
Suppose 34*f = -13*f - 2397. Let o be f/(-68) + (-3)/4. Factor 42/5*b**3 + 24/5*b**2 + 0*b + 12/5*b**4 - 6/5*b**5 + o.
-6*b**2*(b - 4)*(b + 1)**2/5
Let d be (-20)/2*(-66)/5. Let o be (1 - (-5)/(-4))/((-11)/d). Factor -3*w**2 + 4*w + o*w - 9*w**3 + 2*w + 3*w**4.
3*w*(w - 3)*(w - 1)*(w + 1)
Let h(q) = -q**3 - 252*q**2 + 777*q - 484. Let j(b) = -3*b**3 - 252*b**2 + 798*b - 483. Let l(p) = 3*h(p) - 2*j(p). Find m, given that l(m) = 0.
1, 2, 81
Let -11/6*s - 1/6*s**3 - 3/2*s**2 + 7/2 = 0. What is s?
-7, -3, 1
Let p = 4840 + -67759/14. Let m(j) be the first derivative of 0*j + 14 - p*j**4 + 1/21*j**6 + 2/21*j**3 - 2/35*j**5 + 0*j**2. Factor m(x).
2*x**2*(x - 1)**2*(x + 1)/7
Let v(n) = 2*n**3 - 41*n**2 - 53*n + 6. Let b be v(22). Factor -133 + 10*a + b - 134 + a**2.
(a + 5)**2
Suppose 51/2*w**2 + 39/4*w**3 - 3*w**4 + 0 - 66*w = 0. Calculate w.
-11/4, 0, 2, 4
Factor -35*u + 96 - 54*u - 71*u + 183*u - 3*u**2 - 65*u.
-3*(u - 2)*(u + 16)
Let o(f) be the third derivative of -1/30*f**5 - 54*f**2 - 5/12*f**4 + 0 + 2*f**3 + 0*f. Find x, given that o(x) = 0.
-6, 1
Let n = -2/60591 - -121192/302955. Factor -1/5 - n*y**2 - 1/10*y**3 - 1/2*y.
-(y + 1)**2*(y + 2)/10
Let p be (-2)/((-4)/(-56)*-14). Find j such that 16/3 - 2/3*j**3 - 28/3*j + 14/3*j**p = 0.
1, 2, 4
Let g(p) be the third derivative of 7/150*p**6 + 