 4/5*y**5 + 7*y**4. Determine x so that t(x) = 0.
-6, -2, 0, 1
Let m(k) = 2*k**3 + 92*k**2 + 360*k + 439. Let b(h) = -3*h**3 - 123*h**2 - 480*h - 585. Let a(c) = 7*b(c) + 9*m(c). Factor a(g).
-3*(g + 3)*(g + 4)**2
Factor 1/6*p**2 - 8/3*p + 14/3.
(p - 14)*(p - 2)/6
Suppose 78*r - 75*r - 9 = 0. Determine h so that -2*h**4 + 4*h**2 - 278*h**3 - 277*h**3 + 553*h**r = 0.
-2, 0, 1
Let f(j) be the third derivative of 0 + 1/210*j**6 + 82*j**2 + 8/21*j**3 - 1/6*j**4 + 0*j + 2/105*j**5. Factor f(v).
4*(v - 1)**2*(v + 4)/7
Let a(x) = 30*x**2 + 39*x + 3. Let p(y) be the second derivative of -61*y**4/12 - 13*y**3 - 7*y**2/2 + 47*y. Let s(o) = -5*a(o) - 3*p(o). Factor s(u).
3*(u + 1)*(11*u + 2)
Suppose 100581*k - 100591*k = -60. Let q(o) be the second derivative of 1/70*o**7 + 3/100*o**5 - 20*o + 0 + 0*o**2 + 0*o**3 + 1/25*o**k + 0*o**4. Factor q(c).
3*c**3*(c + 1)**2/5
Let o be (-6 + (7 - 2))/(-3). Let m(r) be the second derivative of 0 + o*r**4 - 18*r - 3*r**3 + 4*r**2. Factor m(i).
2*(i - 4)*(2*i - 1)
Suppose c - 5 = z, 0 = -z + 3*z + 4. Let b be 4/c*(-72)/(-48). Determine f, given that 3 + 3*f - 15*f**b - 6*f + 1 - 1 - 9*f**3 = 0.
-1, 1/3
Let r(p) be the second derivative of -p**5/5 + 224*p**4/3 - 890*p**3/3 + 444*p**2 + 92*p + 1. Factor r(k).
-4*(k - 222)*(k - 1)**2
Let f = -6156 - -6158. Factor 8/3 + 2*k**f - 26/3*k.
2*(k - 4)*(3*k - 1)/3
Let i be (-4)/(-20)*0 - 0. Suppose 5*n + 5 = -5*u - 0, 4*u - n - 16 = i. Factor 10*p**u + 6*p + p**5 - 4 + p**5 + 4*p**2 - 18*p**3.
2*(p - 1)**3*(p + 1)*(p + 2)
Let o(p) be the second derivative of -p**7/420 - 7*p**6/240 - p**5/20 - 23*p**2/2 + 6*p - 3. Let m(y) be the first derivative of o(y). Factor m(g).
-g**2*(g + 1)*(g + 6)/2
Let g(y) = 47*y**2 + 24*y + 627. Let n(q) = 480*q**2 + 240*q + 6270. Let l(w) = -51*g(w) + 5*n(w). Solve l(t) = 0.
-11, 19
Let q(c) be the third derivative of c**5/300 - 1331*c**4/60 + 1771561*c**3/30 + 4937*c**2. Factor q(o).
(o - 1331)**2/5
Let s(m) = -7 - 17 - m + 25. Let a be s(-2). Determine z so that -992*z - a + 996*z - 2*z**2 + z**2 = 0.
1, 3
Let i = 84679/15 - 5634. Let d = -53/5 + i. Factor -2/3*l + 0 - 2*l**3 + 2*l**2 + d*l**4.
2*l*(l - 1)**3/3
Let d = -73 + 75. Let f be 21*(-5)/(-15) + d. Suppose 21*q**3 - 42*q**2 - 6*q**4 - 9*q**5 + f*q + q**3 + 26*q**3 = 0. What is q?
-3, 0, 1/3, 1
Let h(a) = 288*a**3 + 5316*a**2 - 88456*a + 21812. Let n(w) = 53*w**3 + 1063*w**2 - 17691*w + 4362. Let l(x) = 3*h(x) - 16*n(x). Factor l(f).
4*(f - 33)**2*(4*f - 1)
Let g(v) be the second derivative of v**5/2 + 55*v**4/4 + 235*v**3/3 + 195*v**2/2 + 1471*v. Factor g(r).
5*(r + 3)*(r + 13)*(2*r + 1)
Let o be ((-1012)/69)/(2/3)*-2. Let w be (o/(-70))/(-2) + (-98)/(-343). Factor 1/5*l**4 + 1/5*l + 0 + 3/5*l**2 + w*l**3.
l*(l + 1)**3/5
Let q(v) be the second derivative of 5*v**9/1512 + v**8/112 - v**7/84 + 89*v**3/6 - 27*v. Let n(m) be the second derivative of q(m). Factor n(h).
5*h**3*(h + 2)*(2*h - 1)
Let g(n) be the first derivative of -n**3/12 + 15*n**2/8 + 25*n - 821. Let g(y) = 0. What is y?
-5, 20
Let g(h) be the second derivative of h**3/2 - 2*h**2 + 19*h. Let n be g(5). Find y such that -10*y**2 + 0*y - n*y**3 + 7*y**3 - 4*y + 2*y**2 = 0.
-1, 0
Suppose -14 = l + 5*y - 52, 0 = -4*l - 3*y + 33. Let j(m) be the first derivative of 90*m - 35/3*m**l - 9 + 305/2*m**2. Let j(s) = 0. What is s?
-2/7, 9
Let f(h) be the first derivative of -2*h**3/3 - 1064*h**2 - 566048*h - 537. Factor f(v).
-2*(v + 532)**2
Let m(f) = f**3. Let x(p) = -p**2 - 3*p - 3. Let z be x(-2). Let k(i) = -20*i**3 - 4*i**2 + 24*i + 4. Let n(j) = z*k(j) + 4*m(j). Factor n(q).
4*(q - 1)*(q + 1)*(6*q + 1)
Let s(c) = c**3 - 19*c**2 - 2076*c - 145. Let o be s(-37). Let -3/5*p**2 + 2/5 - 3*p**4 - 9/5*p + 43/5*p**o - 18/5*p**5 = 0. What is p?
-2, -1/2, 1/3, 1
Let i = 48180/37 - 1302. Let l = i + -4/481. Factor 0*x + 2/13*x**5 + 6/13*x**3 - 6/13*x**4 + 0 - l*x**2.
2*x**2*(x - 1)**3/13
Suppose -2*f + 3*r = 2*f - 8, 29 = 5*f + r. Solve f*w**2 - 325 + 280 + 0*w**2 = 0.
-3, 3
Let h(l) = 5*l**2 + 97*l + 192. Let z(u) = 4*u**2 + 98*u + 192. Let m be 9*(-4)/(-3)*(-1)/(-4). Let c(p) = m*z(p) - 2*h(p). Determine q, given that c(q) = 0.
-48, -2
Suppose 0 = -2*m + 3*d - 747, 4*m - 2*d - 343 = -1841. Let o be (75/m)/((-3)/5). Solve -2/3*b + 0 + 2/3*b**3 + 1/3*b**4 - o*b**2 = 0.
-2, -1, 0, 1
Suppose 5631*b = 5629*b + 4*u - 10, 3*u + 3 = 5*b. Let l(i) be the second derivative of 0 + 5*i**b + 0*i**2 - 28*i + 5/12*i**4. Factor l(x).
5*x*(x + 6)
Suppose -2*v + 0*v = -4*f + 14, -2*f + 3 = 3*v. Factor 30*u**2 + 52*u - 23*u**2 + 13*u**2 + 28*u**2 - 4*u**f.
-4*u*(u - 13)*(u + 1)
Let u(k) be the third derivative of 0 + 17/12*k**3 - 1/120*k**5 + 0*k - 48*k**2 + 1/3*k**4. Factor u(s).
-(s - 17)*(s + 1)/2
Let u = -2/5777793 + 4716566/825399. Determine r, given that -24/7 - 74/21*r**2 - 2/21*r**4 - u*r - 20/21*r**3 = 0.
-3, -2
Let q(z) be the third derivative of z**5/40 - 69*z**4/16 - 71*z**3/2 + 585*z**2. Find p such that q(p) = 0.
-2, 71
Let q(f) be the first derivative of f**4/10 - 14*f**3/5 - 28*f**2/5 + 264*f/5 - 755. Determine p, given that q(p) = 0.
-3, 2, 22
Let g(x) be the second derivative of -x**7/210 + x**5/20 - x**4/12 - 201*x**2/2 + 16*x - 2. Let d(k) be the first derivative of g(k). Find n such that d(n) = 0.
-2, 0, 1
Let f(z) be the first derivative of -1/90*z**4 + 18 + 0*z**2 + 6*z + 1/15*z**3. Let j(t) be the first derivative of f(t). Solve j(v) = 0 for v.
0, 3
Let a(t) be the first derivative of 2*t**5/7 + 33*t**4/14 - 66*t**3/7 + 79*t**2/7 - 36*t/7 + 1282. Let a(d) = 0. Calculate d.
-9, 2/5, 1
Suppose 1161*z + 8 = -3*w + 1165*z, 2*z = -3*w + 4. Factor -i - 31/6*i**2 + w - 5/6*i**3.
-i*(i + 6)*(5*i + 1)/6
Let h(q) be the third derivative of q**7/42 - 3*q**6/2 - 27*q**5/2 + 3645*q**4/2 + 98415*q**3/2 + 4*q**2 - 1092*q. Solve h(i) = 0.
-9, 27
Let f(x) be the first derivative of x**9/1008 + 3*x**8/560 + 3*x**7/280 + x**6/120 + 5*x**3/3 - 2*x - 3. Let c(r) be the third derivative of f(r). Factor c(w).
3*w**2*(w + 1)**3
Suppose -4*s - 11 + 55 = 0. Suppose a - 12 = -3*a. Factor z**a + 2*z**2 + 5*z**2 - s*z**2 - z**4 - 5*z**3.
-z**2*(z + 2)**2
Let y(l) be the second derivative of -9*l**5/40 - 145*l**4/24 - 151*l**3/12 - 15*l**2/4 - 128*l + 20. Factor y(u).
-(u + 1)*(u + 15)*(9*u + 1)/2
Let m(i) be the third derivative of -15/8*i**4 - 5/336*i**8 + 5/6*i**5 + 5/12*i**6 - 1/42*i**7 - 15/2*i**3 + 0*i - 7*i**2 - 11. Suppose m(j) = 0. What is j?
-3, -1, 1, 3
Find m, given that 9 - 45*m**3 + 58*m**2 - 5/2*m**5 + 17*m**4 - 73/2*m = 0.
1, 9/5, 2
Let 213*i**2 - 316*i + 172*i**3 + 8*i**4 + 0*i**2 + 151*i**2 - 71 - 135 - 22 = 0. Calculate i.
-19, -3, -1/2, 1
Let o(s) be the first derivative of 2*s**3/9 - 3*s**2 - 60*s - 350. Factor o(k).
2*(k - 15)*(k + 6)/3
Let o(t) be the second derivative of -t**8/57120 + 2*t**7/5355 + t**4/12 - 17*t**2/2 - 7*t + 6. Let c(x) be the third derivative of o(x). Solve c(p) = 0.
0, 8
Let d(n) be the first derivative of -n**4/4 + 104*n**3/3 - 1352*n**2 + 521. Factor d(f).
-f*(f - 52)**2
Let z(f) = 54*f**2 + 2676*f - 913994. Let d(s) = 4*s**2 - 2*s - 3. Let m(x) = 28*d(x) - 2*z(x). Find h such that m(h) = 0.
676
Determine x so that 5*x**2 - 3196 + 340*x + 880*x - 75*x - 284 = 0.
-232, 3
Let w(r) be the second derivative of 0*r**2 + 1/7*r**4 - 1 - 11/147*r**7 - 17*r + 0*r**3 - 16/105*r**6 + 1/70*r**5. Let w(i) = 0. What is i?
-1, 0, 6/11
Let h be ((-4)/(-5) - 0) + (-915)/(-75). Suppose h*k - 16*k + 15 = 0. Factor 46*x**3 - 24*x**3 - 22*x**3 - 5*x**5 - k*x**4.
-5*x**4*(x + 1)
Suppose o - 7 = 16. Suppose o*c - 25*c + 10 = 0. Factor -t**3 - 2 - 17*t**4 + 5*t - c*t**2 + 2*t**2 + 18*t**4 + 0.
(t - 1)**3*(t + 2)
Suppose 5*k = 29 - 29, y + 3*k - 4 = 0. Let l(x) be the second derivative of -2/9*x**2 + 5/54*x**y + 0 + 4*x + 1/9*x**3. Factor l(n).
2*(n + 1)*(5*n - 2)/9
Suppose 0 = 1375*h - 2264*h. Factor h + 0*p - 2/5*p**2 + 1/10*p**3.
p**2*(p - 4)/10
Let g(f) be the third derivative of 5*f**8/336 + 11*f**7/42 + 4*f**6/3 + 7*f**5/3 + 10*f**2 + 2*f - 503. Let g(z) = 0. What is z?
-7, -2, 0
Factor 4*w**2 - 564*w - 8*w**3 - 95*w**3 + 31 + 367*w**3 + 300*w**3 - 35.
4*(w - 1)*(w + 1)*(141*w + 1)
Let w = 1863479/5 - 372694. Let y be ((-2)/2)/((-15)/9). Factor -w*a**2 - 6/5*a - y*a**3 + 0.
-3*a*(a + 1)*(a + 2)/5
Let y = -24482 - -24482. Let b(s) be 