- 524*j**4 - 7068*j**3 - 3847*j**2 + 2704*j. Let r(u) = 2*a(u) - 2*l(u). Find v such that r(v) = 0.
-26, -1, 0, 2/5
Solve -1058 + 2/9*f**5 - 94/3*f**4 + 3452/3*f**3 + 9614/3*f - 29396/9*f**2 = 0.
1, 69
Let y be ((-6)/2 + (2 - -1))/2. Solve y*n**2 - 5*n**2 - 5*n - 11*n**3 + 6*n**3 - 5*n**2 = 0 for n.
-1, 0
Suppose 0 = -25*m - 55 + 80. Let t(j) be the first derivative of m - 480*j**2 - 1/8*j**6 - 30*j**4 + 3*j**5 + 160*j**3 + 768*j. Determine h so that t(h) = 0.
4
What is p in 84 + 88*p**2 + 60*p + 76 - 83*p**2 = 0?
-8, -4
Factor 7/8*k**2 + 45/4 + 317/8*k.
(k + 45)*(7*k + 2)/8
Let g(s) be the second derivative of -s**4/6 + 4*s**3 + 13*s**2 - 17*s. Determine i so that g(i) = 0.
-1, 13
Determine q, given that 1/4*q**3 - 3/2*q**2 - 9/2 - 25/4*q = 0.
-2, -1, 9
What is z in 184/9*z**2 + 22/9*z**4 - 176/9*z + 64/9 - 2/9*z**5 - 92/9*z**3 = 0?
1, 2, 4
Suppose 5*b = 2*u - 24, -6*u - b = -9*u + 10. Let w be ((4/1)/2)/10. Let 0*i - w + 1/5*i**u = 0. What is i?
-1, 1
Let h be 4/(-1)*(-17)/34. Let o(b) be the second derivative of -3/20*b**5 + 0*b**4 - 1/10*b**6 + 0*b**h + 0*b**3 + 3*b + 0. Suppose o(i) = 0. Calculate i.
-1, 0
Let i(v) be the second derivative of -5/6*v**3 - 3*v + 5/36*v**4 + 5/3*v**2 + 0. Let i(x) = 0. Calculate x.
1, 2
Let g(i) be the second derivative of i**6/70 + 81*i**5/140 + 6*i**4 - 14*i**3 - 422*i. Factor g(k).
3*k*(k - 1)*(k + 14)**2/7
Let a(y) be the second derivative of 0 - 1/15*y**3 + 2/5*y**2 - 1/30*y**4 + 16*y. Factor a(j).
-2*(j - 1)*(j + 2)/5
Let w(d) = -d**3 + d**2 + 2*d - 1. Let v(q) = -11*q**3 + 6*q**2 + 17*q - 6. Let o(j) = -v(j) + 6*w(j). Factor o(u).
5*u*(u - 1)*(u + 1)
Let t(w) = w**2 + 44*w + 270. Let h be t(-7). Let z(a) be the third derivative of -h*a**2 + 0*a**5 + 1/60*a**6 + 0*a - 1/12*a**4 + 0 + 0*a**3. Factor z(v).
2*v*(v - 1)*(v + 1)
Let i(s) be the second derivative of 0*s**5 + 0*s**3 - 1/1050*s**7 + 0*s**4 + 6*s + 0*s**6 - 2*s**2 + 0. Let p(d) be the first derivative of i(d). Factor p(g).
-g**4/5
Let f(t) be the third derivative of 5*t**7/378 - 13*t**6/72 - 14*t**5/135 + 11*t**4/18 - 16*t**3/27 - 202*t**2 - 2. Suppose f(w) = 0. Calculate w.
-1, 2/5, 8
Let n(t) = 8*t**2 + 7*t + 56. Let r(y) = -2*y + 15. Let c be r(11). Let p(x) = -7*x**2 - 8*x - 55. Let a(g) = c*p(g) - 6*n(g). Factor a(w).
(w + 7)**2
Let p(n) be the second derivative of n**4/6 - 17*n**3/3 + 30*n**2 - 2*n - 1. Factor p(j).
2*(j - 15)*(j - 2)
Let n(f) = f**3 - 83*f**2 - 163*f - 592. Let u be n(85). Factor -8/19*a + 0 - 2/19*a**u + 8/19*a**2.
-2*a*(a - 2)**2/19
Let y(o) = -3*o - 22. Let a be y(-9). Suppose -4*q - 6 = -a*q - 4*d, -5*q - 2*d = -12. Factor 0 - 15*m**q - 45/2*m - 5/2*m**3.
-5*m*(m + 3)**2/2
Suppose -183*x = -204*x + 105. What is m in 2/15*m**x - 2/15*m**2 + 2/15*m**4 - 2/5*m**3 + 4/15*m + 0 = 0?
-2, -1, 0, 1
Let g(y) = y**2 + 8*y - 5. Let s(t) = -t**2 - t. Let b(l) = -2*g(l) - 4*s(l). Solve b(d) = 0.
1, 5
Let h(s) be the first derivative of 1/20*s**5 + 0*s + 3/8*s**4 + s**3 + 7 + 3/2*s**2. Let u(j) be the second derivative of h(j). Factor u(r).
3*(r + 1)*(r + 2)
Let k be (3 + -1)*(54/(-180))/((-6)/4). Suppose 3*p = 6*p - 4*r + 6, 2*r - 16 = -5*p. Factor -6/5 - k*z**p - 8/5*z.
-2*(z + 1)*(z + 3)/5
Let q(u) be the third derivative of u**7/315 - 7*u**6/180 + u**5/6 - u**4/4 + 7*u**2 - 8*u. Let q(j) = 0. What is j?
0, 1, 3
Let s = 3043/10 - 304. Let w(p) be the first derivative of 0*p**2 + 9/25*p**5 - s*p**4 + 0*p - 1 + 0*p**3 - 1/10*p**6. Factor w(t).
-3*t**3*(t - 2)*(t - 1)/5
Let b(n) be the second derivative of -n + 2/5*n**5 + 6*n**2 + 0 - 4/3*n**4 - 4/3*n**3 + 2/15*n**6. Determine m, given that b(m) = 0.
-3, -1, 1
Let l = 1 - -2. Let q(c) = -c**2 - 2*c + 7. Let t be q(-3). Factor 10*j**t - 5*j - 3*j**2 - 4*j**2 - l*j**2 + 5*j**5.
5*j*(j - 1)*(j + 1)**3
Let r(k) be the first derivative of k**9/1008 - 3*k**8/560 + 3*k**7/280 - k**6/120 - 20*k**3/3 - 9. Let d(w) be the third derivative of r(w). Factor d(g).
3*g**2*(g - 1)**3
Let u(t) be the second derivative of -1/30*t**4 - 3/5*t**3 + 16*t + 0 - 8/5*t**2. Factor u(g).
-2*(g + 1)*(g + 8)/5
Let v(h) = 11*h**4 + 80*h**3 - 20*h**2 - 71*h + 18. Let x(l) = -3*l**4 - 20*l**3 + 5*l**2 + 18*l - 4. Let b(k) = 2*v(k) + 9*x(k). Factor b(q).
-5*q*(q - 1)*(q + 1)*(q + 4)
Let i(f) be the second derivative of -15/2*f**4 - 75/2*f**3 + 0 - 3/5*f**5 - f - 375/4*f**2. Let i(p) = 0. Calculate p.
-5/2
Let f(z) be the third derivative of 0*z + 1/300*z**5 + 1/300*z**6 + 0 - 13*z**2 + 0*z**3 - 1/60*z**4 - 1/1050*z**7. Factor f(m).
-m*(m - 2)*(m - 1)*(m + 1)/5
Let 840*h + 1070*h**2 + 240*h - 303*h**2 + 2182*h**2 + 2490*h**3 + 311*h**2 + 45*h**4 = 0. Calculate h.
-54, -2/3, 0
Let o(h) = 128*h**2 - 588*h + 612. Let p(z) = z**3 - 126*z**2 + 587*z - 613. Let b(l) = 5*o(l) + 4*p(l). Solve b(v) = 0.
-38, 2
Suppose 0 = 123*o - 113*o. Let l(u) be the third derivative of 0*u - 2*u**2 + 0 - 1/90*u**5 + o*u**3 + 1/36*u**4. Solve l(f) = 0.
0, 1
Let s(r) be the first derivative of 2*r**6/3 - 4*r**5/15 - 6*r**4 + 40*r**3/3 - 34*r**2/3 + 4*r + 90. Let s(g) = 0. What is g?
-3, 1/3, 1
Let z(q) = -3*q - 7. Let o be z(-4). Suppose -3*v = 0, -3*k + o*v = -9 - 0. Factor a**2 + 4*a**5 + k*a**2 - 2*a**4 - 12*a**3 - 8*a**5 + 14*a**4.
-4*a**2*(a - 1)**3
Let j = 2597/3909 + 3/1303. Determine b, given that -2/15*b**4 - j*b**2 - 8/15*b**3 + 0 - 4/15*b = 0.
-2, -1, 0
Solve 32*v**3 - 74*v**2 + 2*v**5 + 17*v**2 - 66*v**4 - 63*v**2 + 97*v**3 + 55*v**3 = 0 for v.
0, 1, 2, 30
Suppose -2*r - 3 + 13 = 0. Factor -3*j + 150 - r*j + j**2 + j**2 - 144.
2*(j - 3)*(j - 1)
Let i(p) be the first derivative of 15 + p**2 + 1/4*p**4 - 1/30*p**5 - 13/18*p**3 - 2/3*p. Factor i(v).
-(v - 2)**2*(v - 1)**2/6
Let l(s) be the second derivative of -s**6/210 - 2*s**5/35 - 13*s**4/84 - s**3/7 - 19*s + 1. Factor l(i).
-i*(i + 1)**2*(i + 6)/7
Let j(v) be the first derivative of 35 + 0*v + 2/13*v**3 + 4/13*v**2 - 1/26*v**4. Let j(w) = 0. Calculate w.
-1, 0, 4
Let s be 3*22 - (0 + 0). Let i be ((-176)/(-132))/((-2)/(-99)). Factor -2*m - 2*m - s + 8*m**2 - 4*m**3 + i.
-4*m*(m - 1)**2
Let a(t) = t**2 + 4*t - 9. Let b be a(-6). Factor b*i + 6*i**2 - 6*i**4 + 3*i**5 - 11*i + 5*i.
3*i*(i - 1)**3*(i + 1)
Let q(c) = -20*c**2 - 79*c + 4. Let k be q(-4). Let x(a) be the second derivative of -10/3*a**3 + 8*a**2 + a**5 + 3*a - a**4 - 2/15*a**6 + k. Factor x(z).
-4*(z - 4)*(z - 1)**2*(z + 1)
Let y(b) be the third derivative of 1/80*b**5 - 20*b**2 + 0 + 0*b - 1/480*b**6 - 1/48*b**4 + 0*b**3. Factor y(k).
-k*(k - 2)*(k - 1)/4
Let h(u) be the second derivative of 3*u**5/16 + 161*u**4/16 + 164*u**3 + 96*u**2 - 35*u - 2. Factor h(i).
3*(i + 16)**2*(5*i + 1)/4
Let j(f) = 4*f - 25. Let y be j(8). Factor 2 + y + 12*q + 4*q**2 - 1.
4*(q + 1)*(q + 2)
Let r(t) be the third derivative of 1/14*t**4 + 0 + 26*t**2 + 0*t**3 + 0*t + 1/210*t**5. Let r(g) = 0. Calculate g.
-6, 0
Let j(r) be the first derivative of -5*r**3/3 - 100*r**2 - 2000*r - 56. Find x, given that j(x) = 0.
-20
Let w(x) be the third derivative of 0 + 18*x**2 + 0*x - 1/350*x**7 - 1/200*x**6 - 1/1680*x**8 + 0*x**3 + 0*x**4 - 1/300*x**5. Factor w(u).
-u**2*(u + 1)**3/5
Let c(z) be the first derivative of 2*z**5/25 + 3*z**4/10 - 2*z**3/15 - 3*z**2/5 + 79. Factor c(l).
2*l*(l - 1)*(l + 1)*(l + 3)/5
Suppose -6*f = -2*f. Suppose f = -4*u + 3*u + 4*u. What is m in 36/7*m**3 - 10/7*m**4 - 16/7*m + u - 24/7*m**2 = 0?
-2/5, 0, 2
Let v(g) be the first derivative of 5*g**4/4 + 20*g**3/3 + 10*g**2 - 22. Solve v(f) = 0.
-2, 0
Suppose -9*c = -13*c + 24. Suppose 8*n - c*n = 8. Factor -14/3*u + 6*u**2 - 10/3*u**3 + 4/3 + 2/3*u**n.
2*(u - 2)*(u - 1)**3/3
Let v(j) = 15*j**2 - 25*j. Suppose -3*i = 5 + 1, 3*t - 2*i + 11 = 0. Let z(g) = -7*g**2 + 12*g. Let b(s) = t*z(s) - 2*v(s). Find n, given that b(n) = 0.
0, 2
Let h(b) be the first derivative of -2*b**5/15 - b**4 + 32*b**3/9 + 538. Let h(o) = 0. What is o?
-8, 0, 2
Let g(p) be the third derivative of -p**5/15 - p**4 + 14*p**3/3 + 2*p**2 + 10*p. Determine l so that g(l) = 0.
-7, 1
Let t(g) be the third derivative of g**8/840 - 2*g**7/525 - g**6/100 + 2*g**5/75 + g**4/15 + 63*g**2 - 2*g. Solve t(s) = 0 for s.
-1, 0, 2
Factor -43*c**5 - 41*c**5 - 8*c**2 + 8*c**4 + c**3 + 83*c**5.
-c**2*(c - 8)*(c - 1)*(c + 1)
Let l(q) = -q**3 - q**2 - 7*q. Let d(x) = 2*x**3 + 2*x**2 + 20*x. Let w(r) = -3*d(r) - 8*l(r