f i**6/18 + i**5/5 - 7*i**4/2 + 98*i**3/9 - 29*i**2/2 + 9*i + 2696. Factor p(g).
(g - 3)*(g - 1)**3*(g + 9)/3
Suppose -c + 0*f + f = -16, c + f = 24. Suppose -5*b = -5 - c. Factor -90*t**2 - 99*t**4 + 0*t - 3 + 2*t - 20*t - 9*t - 138*t**3 - 27*t**b.
-3*(t + 1)**3*(3*t + 1)**2
Let f(h) be the first derivative of -13*h**2 + 20*h**3 + 104*h**4 - 158 - 19*h**2 + 52*h - 22*h**2 - 105*h**4. Factor f(u).
-4*(u - 13)*(u - 1)**2
Let f(n) = 19*n**2 + 73*n. Let w(x) = -x + 2. Let p(m) = -2*f(m) + 4*w(m). Factor p(t).
-2*(t + 4)*(19*t - 1)
Let x(h) = 1791*h**2 + 1786*h + 1. Let z be x(-1). Find k such that -z - 39/5*k + 9/5*k**2 = 0.
-2/3, 5
Let i(n) be the third derivative of n**7/1050 - 13*n**6/200 + 133*n**5/100 - 361*n**4/120 - 13*n**2 - 8. Solve i(f) = 0.
0, 1, 19
Let d(t) be the first derivative of 7*t**6/360 - 17*t**5/40 + 7*t**4/12 + 60*t**3 + 194. Let c(k) be the third derivative of d(k). Solve c(w) = 0 for w.
2/7, 7
Let n be 7 - (-40 - (-5080)/(-280)). Let 14*f**4 - n*f + 76*f**3 + 72/7 + 554/7*f**2 = 0. What is f?
-3, 2/7
Let l(n) = n**3 - 5*n**2 - 6*n + 4. Let a be l(6). Find u such that 5*u**a - 27*u - 86 - 15*u**2 + 76 + 5*u**3 + 2*u = 0.
-1, 2
Suppose -3351 - 7654 = 31*o. Let w = o - -359. What is d in -2*d - 4/5 + 8/5*d**3 + 8/5*d**w + 2/5*d**5 - 4/5*d**2 = 0?
-2, -1, 1
Let b(k) = -k**3 + 30*k**2 + 115*k - 1632. Let s be b(32). Find t, given that -1/6*t**2 + 0 + s*t + 1/6*t**4 + 0*t**3 = 0.
-1, 0, 1
Let s(f) be the third derivative of -f**6/1440 + 61*f**5/240 + 13*f**4/4 + 94*f**3/9 - 25*f**2 - f - 49. Factor s(j).
-(j - 188)*(j + 1)*(j + 4)/12
Let z = 19708/11 - 1790. Let b(v) = v. Let j be b(3). Factor -6/11*s**j - z*s**2 + 24/11 + 0*s.
-6*(s - 1)*(s + 2)**2/11
Solve 752/7*c - 32 - 14*c**3 - 82*c**2 = 0 for c.
-7, 4/7
Let l(o) = -o**3 + o. Let z be (4/6)/((-12)/90). Let t(y) = 10*y**3 + 35*y**2 - 5*y. Let j(g) = z*l(g) - t(g). Suppose j(n) = 0. Calculate n.
-7, 0
Let n be ((-5)/125)/(3 - 5). Let m(p) be the second derivative of 0 + 7*p + 1/15*p**3 - n*p**5 - 1/5*p**2 + 1/30*p**4. Factor m(d).
-2*(d - 1)**2*(d + 1)/5
Let f(j) be the second derivative of j**5/15 + 2*j**4 + 24*j**3 + 35*j**2/2 + 6*j + 3. Let d(s) be the first derivative of f(s). Factor d(a).
4*(a + 6)**2
Let j(h) = -20*h**3 - 188*h**2 + 966*h. Let a(x) = 49*x**3 + 378*x**2 - 1930*x. Let w(d) = 2*a(d) + 5*j(d). Factor w(t).
-2*t*(t - 5)*(t + 97)
Suppose -16 = -8*w - 0*w. Suppose 22467 - 4*a**w - 22467 + 48*a = 0. What is a?
0, 12
Let a(u) = -u + 2. Let q be a(-3). Suppose -4*k = -q*f - 17, 5*k - 11 = 2*k + 2*f. Factor -22*m**5 - 19*m**5 + 6*m**k + 38*m**5 - 3*m.
-3*m*(m - 1)**2*(m + 1)**2
Let s = -166751 - -166753. Factor 1/4*k**4 - 5/4*k**3 + 0*k**s + 0 + 0*k.
k**3*(k - 5)/4
Let w(b) be the second derivative of -2/35*b**5 + 0*b**2 + 0*b**3 + 0 - 5/42*b**4 - 29*b + 1/105*b**6. Factor w(i).
2*i**2*(i - 5)*(i + 1)/7
Factor 728/17*a**2 + 11392/17 + 5728/17*a + 2/17*a**3.
2*(a + 4)**2*(a + 356)/17
Let h(s) be the third derivative of 4*s**5/15 + 359*s**4/6 - 60*s**3 - 1182*s**2. Find l such that h(l) = 0.
-90, 1/4
Find t, given that -12/7*t**3 + 0 + 76/7*t**2 - 4*t**4 + 4/7*t**5 + 8*t = 0.
-1, 0, 2, 7
Factor -282*c**3 - 24000 + 5600*c + 1520*c**2 + 59/4*c**4 - 1/4*c**5.
-(c - 20)**3*(c - 3)*(c + 4)/4
Let n be (14 + -13)/((-20)/6) - 76/(-20). Let q(t) be the second derivative of -3/4*t**4 + 43*t - n*t**2 + 5/2*t**3 + 1/20*t**5 + 0. Factor q(l).
(l - 7)*(l - 1)**2
Let -1/4*v**5 - 5/4*v**3 + 9*v + 5*v**2 - 3/2*v**4 + 4 = 0. Calculate v.
-4, -2, -1, 2
Let d(x) be the third derivative of -x**5/20 + 57*x**4/4 + 115*x**3/2 - 19*x**2 - 11*x. Solve d(m) = 0.
-1, 115
Suppose 0 = -5*s - 5, -3*s = -0*o + 2*o - 1. Determine t so that t**5 - 121*t**4 + 6*t - 2*t**3 - 5*t**3 + 126*t**4 - 5*t**o = 0.
-6, -1, 0, 1
Suppose 3*m - 5*a + 220 - 68 = 0, -a - 2 = 0. Let h = m + 56. Factor -7*j**h + 4 + 11*j**3 - 17*j**3 - j**2 + 10*j.
-2*(j - 1)*(j + 2)*(3*j + 1)
Let q = -76 + 78. Let f be ((-33)/(-11))/(6 - q). Factor -f - 3/4*j**2 - 3/2*j.
-3*(j + 1)**2/4
Suppose -4*a - 6*b + 106 = 0, a - 177*b - 79 = -182*b. Determine p, given that -13/2*p**3 + 3*p**a + 0 - 2*p - 1/2*p**5 + 6*p**2 = 0.
0, 1, 2
Factor 2670*t + 2*t**4 - 13581*t**3 - 132*t + 13731*t**3 + 2686*t**2.
2*t*(t + 1)*(t + 27)*(t + 47)
Let h(i) be the first derivative of 0*i - 2/51*i**3 + 63 + 10/17*i**2. Let h(y) = 0. Calculate y.
0, 10
Let 1101128/5 + 2968/5*u + 2/5*u**2 = 0. Calculate u.
-742
Suppose -279 = -3*s - 90*s. Let x be (3 - 6)/3 + 6. Let -3/2*f**4 + 3/2*f**x + 0*f**2 + 0 + 0*f - s*f**3 = 0. Calculate f.
-1, 0, 2
Let p(f) = -37*f**4 + 92*f**3 + 162*f**2 - 11*f - 11. Let k(t) = -18*t**4 + 45*t**3 + 81*t**2 - 6*t - 6. Let n(j) = 11*k(j) - 6*p(j). Factor n(m).
3*m**2*(m + 1)*(8*m - 27)
Let o(q) be the third derivative of q**5/210 - 3*q**4/28 - 190*q**3/21 - 2931*q**2 - 2*q. Factor o(z).
2*(z - 19)*(z + 10)/7
Let c(y) be the first derivative of -43*y**3/15 - 37*y**2/10 + 6*y/5 + 4081. Let c(s) = 0. Calculate s.
-1, 6/43
Let o(f) = 1 + 8*f**2 + 24*f + 3 - 2. Let w(r) be the first derivative of 2*r**3/3 + r + 1105. Let u(z) = -o(z) + 2*w(z). Let u(t) = 0. What is t?
-6, 0
Let s(x) = x - 12. Let d be s(-19). Let i = d + 33. Let -6 - 2*l - l**2 - 2*l + 0*l**i - l = 0. What is l?
-3, -2
Let b(u) be the third derivative of u**5/105 - 137*u**4/42 - 92*u**3/7 + 1677*u**2. What is r in b(r) = 0?
-1, 138
Let d(a) = 18*a - 16. Let x = -195 + 196. Let j be d(x). Solve 4/7*s - 2/7 - 2/7*s**j = 0.
1
Let z = -9885 - -49443/5. Determine o so that z*o + 3/5*o**2 + 3 = 0.
-5, -1
Let z(h) be the third derivative of h**5/15 + 16*h**4 - 392*h**3/3 + 272*h**2. Find k, given that z(k) = 0.
-98, 2
Let t(y) = 112 + 65*y - 3*y**2 + 57*y - y**2 - 2*y**2. Let w(b) = -4*b**2 + 81*b + 75. Let h(f) = -5*t(f) + 8*w(f). Determine i so that h(i) = 0.
-1, 20
Suppose 9*g - 13*g + 118 = 2*o, 0 = 5*g + 3*o - 146. Factor -8*z**5 - 20*z**4 - 40 - g + 71.
-4*z**4*(2*z + 5)
Let y(i) be the third derivative of -169*i**7/105 + 611*i**6/120 - 111*i**5/20 + 8*i**4/3 - 2*i**3/3 - 816*i**2. Find s such that y(s) = 0.
2/13, 1/2, 1
Let q = -6643 - -4595. Let y = q + 10288/5. Solve 147/5*p + 24*p**4 + 501/5*p**3 + 3 - y*p**5 + 93*p**2 = 0.
-1, -1/4, 5
Let i(k) be the first derivative of -11 - 1/40*k**5 + 0*k**2 - 14*k + 1/120*k**6 + 1/3*k**3 - 1/12*k**4. Let r(x) be the first derivative of i(x). Factor r(z).
z*(z - 2)**2*(z + 2)/4
Let y(i) = -2*i**5 - 6*i**4 + 34*i**3 + 42*i**2 - 68*i + 16. Let z(w) = -w**4 + w + 4. Let g(m) = y(m) - 4*z(m). Suppose g(k) = 0. What is k?
-3, 0, 1, 4
Let k(a) = -a**3 + 8*a**2 + 21*a + 26. Let i be k(14). Let o = 860 + i. Factor 0*b**3 + 1/2*b**o - 3*b**2 - 3/2 - 4*b.
(b - 3)*(b + 1)**3/2
Let s(o) be the first derivative of -o**4/4 - 157*o**3 - 73947*o**2/2 - 3869893*o + 1021. Solve s(n) = 0.
-157
Let c(u) = -3*u**3 - u**2 - 2*u + 1. Let t be c(-9). What is n in 900*n**3 + t*n**2 + 3*n**5 - 271*n**2 + 90*n**4 + 1146*n**2 = 0?
-10, 0
Suppose -42 = -2*p - 4*j, 380 = 2*p - 3*j + 352. Suppose -5*b + 3*g = -p, 49 - 54 = -5*g. Factor 6*h + 27/8*h**3 - 3/8*h**b + 0 - 9*h**2.
-3*h*(h - 4)**2*(h - 1)/8
Solve -2664*w - 5322672 - 1/3*w**2 = 0 for w.
-3996
Let b(g) be the second derivative of g**7/28 - 7*g**6/15 + 67*g**5/40 - g**4/12 - 10*g**3/3 + 2*g - 363. Determine i, given that b(i) = 0.
-2/3, 0, 1, 4, 5
Let c = -5/2 - -23/6. Let y = 41428/3 + -13808. Factor -8/3 + y*z**2 - c*z.
4*(z - 2)*(z + 1)/3
Suppose 20 = -2*x - 8*y, 2*y = -5*x - 7 + 11. Let z(l) be the second derivative of -10/9*l**3 - 18*l + 50/3*l**x + 1/36*l**4 + 0. Factor z(t).
(t - 10)**2/3
Let r = -9464 - -9466. Let f(c) be the first derivative of 24 - 1/6*c**4 + 2/3*c**r + 0*c + 2/9*c**3. Factor f(q).
-2*q*(q - 2)*(q + 1)/3
Let s be (-2124)/(-13806) + 2*(-452)/(-208). Determine w, given that 3 + 3/2*w**2 + s*w = 0.
-2, -1
Let f = 5401 + -5398. Let m(y) be the third derivative of 0*y**4 + 0 - 1/20*y**5 + 0*y**3 + 0*y**6 + 1/70*y**7 + f*y**2 + 0*y. Factor m(h).
3*h**2*(h - 1)*(h + 1)
Let w(a) be the third derivative of a**9/15120 + a**8/840 + a**7/140 - a**5/60 - 5*a**3/3 + 2*a**2 + a. Let g(q) be the third derivative of w(q). Factor g(v).
4*v*(v + 3)**2
Let u(r) be the second derivative of r**5/110 - r**4/11 + r**3/11 + 10*r**2/11 + 107*r. Find c, given that u(c) = 0.
-1, 2, 5
Determine p, given