*f**4.
3*(f - 3)*(f - 1)*(f + 30)**2
Factor -9*b**3 + 3*b**5 + 9*b**4 + 7094245*b**2 - 2*b - 16*b - 7094278*b**2.
3*b*(b - 2)*(b + 1)**2*(b + 3)
Solve 77*v**2 - 211*v + 261*v + 15*v**4 + 37*v**2 + 140*v**3 + 51*v**2 - 10*v**5 = 0 for v.
-2, -1, -1/2, 0, 5
Let v = -1984 + 55553/28. Let m(s) be the first derivative of 1/14*s**2 + 5 - v*s**4 - 1/35*s**5 + 1/7*s**3 - 2/7*s. Determine w so that m(w) = 0.
-2, -1, 1
Let -819/5 + 99/5*y**2 - 3/5*y**3 - 717/5*y = 0. What is y?
-1, 13, 21
Let u(v) be the first derivative of -18/5*v + 6 + 1/5*v**3 + 3/10*v**2. What is r in u(r) = 0?
-3, 2
Let r = 174 + 429. Suppose 596*f = r*f - 28. Factor 64/3*v - 28/3*v**f + 4/3*v**5 + 76/3*v**3 - 16/3 - 100/3*v**2.
4*(v - 2)**2*(v - 1)**3/3
Suppose 3745/9*g - 2498/9 + 6248/9*g**2 + 5/9*g**3 = 0. Calculate g.
-1249, -1, 2/5
Let l(q) be the third derivative of q**7/840 + q**6/96 + q**5/80 - 3*q**4/32 - 289*q**2 - 2. Factor l(d).
d*(d - 1)*(d + 3)**2/4
Let g be 4 + 0 + (-2 - 0). Let c(p) be the second derivative of 0 - 17*p - 125/4*p**g - 5/24*p**4 - 25/6*p**3. Factor c(t).
-5*(t + 5)**2/2
Determine k so that -224*k**3 + 240*k - 706*k + 138*k**3 + 68 - 256 + 2*k**4 - 366*k**2 = 0.
-2, -1, 47
Let o = 315401/10 - 31540. Let s(w) be the first derivative of -21 - 2/5*w**3 + 4/5*w**2 + 0*w - o*w**4. Factor s(q).
-2*q*(q - 1)*(q + 4)/5
Let d(v) be the third derivative of 3*v**5/140 - 253*v**4/14 - 338*v**3/7 - 60*v**2 - 8*v. Suppose d(h) = 0. What is h?
-2/3, 338
Let v(h) = -187*h**2 - 5*h - 7. Let q be v(-1). Let j be (q/(-18) - 0)/(5/2). Let 18/5*x + j - 3/5*x**2 = 0. Calculate x.
-1, 7
Let k = -13754 - -55017/4. Let t(f) be the first derivative of 45/8*f**2 - k*f**5 + 39 + 0*f + 35/16*f**4 - 25/4*f**3. Factor t(s).
-5*s*(s - 3)**2*(s - 1)/4
Find g such that -11181 + 11761 + 3*g**2 - 106*g - 5*g**2 = 0.
-58, 5
Let l = 747 - 752. Let p be 4/10 - (l + 5). Factor p*y**4 + 0 - 2/5*y - 6/5*y**3 + 6/5*y**2.
2*y*(y - 1)**3/5
Let k(m) be the second derivative of 0*m**2 + 0*m**5 - 1/18*m**3 + 1/18*m**4 - 1/45*m**6 + 1/126*m**7 + 3 + 4*m. Let k(g) = 0. Calculate g.
-1, 0, 1
Let u = 39463 - 39461. Factor -8/9*g + 7/9 + 1/9*g**u.
(g - 7)*(g - 1)/9
Determine d, given that -720 - 734*d**3 + 1489*d**3 - 735*d**3 + 320*d**2 - 7*d**5 + 2*d**5 - 35*d**4 = 0.
-6, -3, -2, 2
Let h(u) be the third derivative of u**7/14 + 463*u**6/24 - 779*u**5/12 + 785*u**4/24 + 130*u**3 - 358*u**2. Let h(w) = 0. What is w?
-156, -1/3, 1
Let j = -12619 - -1640471/130. Let h(w) be the third derivative of j*w**5 + 0*w + 1/780*w**6 + 19*w**2 + 1/39*w**3 + 0 + 1/52*w**4. Find u, given that h(u) = 0.
-1
Let b(r) be the second derivative of 0 - 3/2*r**3 - 9/2*r**2 - 1/4*r**4 - 1/60*r**5 + 19*r. Let s(o) be the first derivative of b(o). Solve s(x) = 0.
-3
Let b(d) be the second derivative of d**6/150 + 12*d**5/25 + 23*d**4/30 - 8*d**3/5 - 47*d**2/10 + 964*d. Determine w so that b(w) = 0.
-47, -1, 1
Let q(x) be the first derivative of x**6/30 + x**5/3 + 2*x**4/3 + 159*x**2 - 56. Let h(b) be the second derivative of q(b). Factor h(z).
4*z*(z + 1)*(z + 4)
Let n(y) be the third derivative of 0 + 155/56*y**4 - 1/112*y**8 - 37/70*y**6 - 2*y**2 + 25/7*y**3 + 34/245*y**7 - 59/70*y**5 + 45*y. Solve n(f) = 0 for f.
-1, -2/7, 1, 5
Let b be 6 - ((2 + 140/12)*(-744)/(-868) + -6). Factor -2/7*o**4 + b*o**3 + 8/7 + 22/7*o + 18/7*o**2.
-2*(o - 4)*(o + 1)**3/7
Let d be 30 - (3 + -4)*1*-1. Suppose 5*i + d = 39. Factor -31*o**3 - i*o**2 - o**5 + 29*o**3 + 3*o**4 + 3*o**5 - o**4.
2*o**2*(o - 1)*(o + 1)**2
Let h(n) be the second derivative of 52*n + 8/3*n**4 + 2 - 128/9*n**3 + 0*n**2 - 1/5*n**5 + 1/180*n**6. Solve h(z) = 0 for z.
0, 8
Let w(a) = -612 + 153*a**2 - 79*a**2 - 39 + 69*a - 79*a**2. Let q(g) = 19*g**2 - 277*g + 2603. Let f(v) = -6*q(v) - 22*w(v). Let f(i) = 0. Calculate i.
18
Factor 463 + 7*d**3 + 38*d - 5*d**3 - 144*d**2 + 236*d - 43.
2*(d - 70)*(d - 3)*(d + 1)
Factor -51842 + 3/2*g**3 + 155848*g - 1933/2*g**2.
(g - 322)**2*(3*g - 1)/2
Let z(d) be the second derivative of 5/4*d**5 + 159*d - 5/3*d**4 + 0*d**2 - 1/6*d**6 + 0*d**3 + 0. Factor z(s).
-5*s**2*(s - 4)*(s - 1)
Let s be (0 + 14/(-4))/((-106)/212). Find h such that -h**5 + 3*h**5 - 10*h**3 + 5*h**2 - 4*h**2 - s*h**2 + 201*h**4 - 195*h**4 + 8*h = 0.
-4, -1, 0, 1
Let u = -740 - -719. Let v be ((-6)/u)/(1/2). Find q, given that -v - 2/7*q**3 - 8/7*q**2 - 10/7*q = 0.
-2, -1
Let q(z) be the second derivative of 4*z**4/21 - 19*z**3/7 + 82*z**2/7 - 9181*z. Factor q(k).
2*(k - 2)*(8*k - 41)/7
Let z(b) = -b**2 - 1782*b + 32402. Let q be z(18). What is f in -2/5*f**3 + 24/5*f + 16/5*f**q - 2/5*f**4 + 0 = 0?
-2, 0, 3
Let p(v) be the second derivative of 0*v**2 + 0 + 0*v**3 - 49*v + 1/100*v**6 + 89/200*v**5 + 29/60*v**4. Find x such that p(x) = 0.
-29, -2/3, 0
Find q, given that -2*q - 2*q**3 - 194*q**2 + 28*q**2 + 48*q**2 + 40 + 2*q**4 + 4*q + 76*q**2 = 0.
-4, -1, 1, 5
Let x(o) be the third derivative of -3/100*o**5 + 0*o**4 + 0 + 2/5*o**3 + 1/200*o**6 - 4*o**2 - 11*o. Factor x(l).
3*(l - 2)**2*(l + 1)/5
Let n = 1075854 - 3227560/3. What is h in -22/3*h - n*h**2 - 16 = 0?
-8, -3
Let a be (-48)/(-1080) + 2504/360 - (11 - -1) - -7. Factor -2/3*z**4 - 80/3*z + 4/3*z**3 + 8*z**a + 64/3.
-2*(z - 2)**3*(z + 4)/3
Determine v, given that 125 - v**4 - 85 + 6*v**3 - 40*v + 4*v**3 - 88 - v**4 + 20*v**2 = 0.
-2, -1, 2, 6
Let -5760*q**2 + 584*q**3 + 16*q**5 - 42*q**5 - 2984*q**3 + 230*q**4 + 21*q**5 = 0. What is q?
-2, 0, 24
Let b(v) be the third derivative of 5*v**8/224 + v**7/30 - 9*v**6/16 - 41*v**5/60 + 25*v**4/4 + 26*v**3/3 + 11417*v**2. Solve b(n) = 0.
-13/5, -2, -1/3, 2
Suppose 5*l - 12 = -z, 0*l + l + 6 = 4*z. Let h be 1 + 1 - l*-23. Factor -81*x**2 + 45*x**2 + 39*x**2 + h - 24*x.
3*(x - 4)**2
Suppose 0 = 55*r - 54*r - 3. Suppose -3*h**2 + 7*h**3 - 12*h**3 + 6*h**r - 5*h + 7*h = 0. What is h?
0, 1, 2
Let d(v) = 105*v - 414. Let b be d(4). Let j(u) be the second derivative of 25/2*u**b + 26*u**3 + 9*u - 45/2*u**4 - 15/4*u**5 + 0 - 12*u**2. Factor j(z).
3*(z + 1)*(5*z - 2)**3
Let n(p) be the second derivative of -17/33*p**4 + 0*p**2 + 0 - 289/33*p**3 - 1/110*p**5 + 98*p. Factor n(k).
-2*k*(k + 17)**2/11
Find k such that -4/5*k**4 + 0 + 6/5*k + 6/5*k**3 + 16/5*k**2 = 0.
-1, -1/2, 0, 3
Let m(v) = 2*v**2 + v - 11. Let t(s) = 9*s**2 - 8*s + 2913. Let l(j) = -7*m(j) + t(j). What is h in l(h) = 0?
-26, 23
Let v(k) = 7*k - 25. Let f be v(5). Suppose -n + f = 5. Suppose 5*p**4 - 9*p + 7*p**2 - p**2 - 3*p**n - 8*p**4 - 3*p**4 + 12*p**3 = 0. What is p?
-3, -1, 0, 1
Let j(p) = -5*p**4 - 36*p**3 + 39*p**2 + 91*p + 9. Let h(v) = v**4 - 2*v**3 + 3*v**2 - v - 3. Let x(m) = 6*h(m) + 2*j(m). Factor x(o).
-4*o*(o - 2)*(o + 1)*(o + 22)
Let d = 127 - 122. Let o be d/30*(-1)/(-3 - -2). Let -o*l**5 - 1/3*l**4 + 1/3 + 1/3*l**3 + 7/6*l + 4/3*l**2 = 0. Calculate l.
-1, 2
Let k = 266 + -261. Let 10*h**4 + 56*h**5 + 57*h**k - 90 + 80*h**2 - 105*h + 110*h**3 - 118*h**5 = 0. What is h?
-3, -1, 1, 6
Let y(a) be the first derivative of a**5/12 - 5*a**4/8 - 25*a**3/3 + 46*a**2 + 79. Let x(j) be the second derivative of y(j). Suppose x(d) = 0. What is d?
-2, 5
Let o be ((-3507)/(-8183))/(0 + (-2)/(-8)). Factor -4/7*n**3 + 0 + o*n + 2/7*n**4 - 10/7*n**2.
2*n*(n - 3)*(n - 1)*(n + 2)/7
Let n(j) be the first derivative of j**4/22 - 140*j**3/33 + 1225*j**2/11 + 1865. Determine i, given that n(i) = 0.
0, 35
Factor -5*f**5 - 578*f**2 - 1122*f**2 - 586*f**4 - 831*f - 2216*f**3 + 6*f**4 + 266*f + 506*f**3.
-5*f*(f + 1)**3*(f + 113)
Suppose -3*q + 7 = -2*q. Suppose -c - 3*p + q + 6 = 0, -28 = -4*c - 4*p. Find t, given that -5*t - 4 + 0*t**2 - 5*t**2 + c = 0.
-1, 0
Let z(a) be the second derivative of -a**5/15 - 161*a**4/54 - 211*a**3/9 + 110*a**2/9 - 5496*a. Suppose z(k) = 0. Calculate k.
-22, -5, 1/6
Let g(i) be the second derivative of -i**5/4 + 45*i**4/4 + 85*i**3/3 - 420*i**2 - 2665*i. Factor g(y).
-5*(y - 28)*(y - 2)*(y + 3)
Let r(b) = 8*b - 134. Let j be r(17). Factor 9*p**3 - 2*p + 7*p + 15*p**j + p + 3*p**3 + 3*p**4.
3*p*(p + 1)**2*(p + 2)
What is f in -10*f**2 + 0*f - 19/3*f**3 + 1/3*f**5 + 0*f**4 + 0 = 0?
-3, -2, 0, 5
Suppose p - 2*c = -14, 226*c - 230*c = -11*p - 10. Factor -17/3*f - 4/3*f**4 + p + 1/3*f**5 + 0*f**3 + 14/3*f**2.
(f - 3)*(f - 1)**3*(f + 2)/3
Let h be 24/(-3) + (-7)/1. Let u be (12/16)/(h/(-80)). Fact