d m, given that 44*m**4 - 2*m**2 - z*m**4 + 0*m - 3*m + 3*m**3 - m**2 = 0.
-1, 0, 1
Let v = 7275 - 138219/19. Solve -8/19 + 2/19*u**2 + v*u = 0.
-4, 1
Suppose -25*v - r - 1 = -20*v, 5*v - 3*r - 3 = 0. Let 0*j + 0 + 1/3*j**3 - 2/3*j**4 + 1/3*j**5 + v*j**2 = 0. What is j?
0, 1
Let t(m) be the first derivative of -m**4/16 - 5*m**3/8 - 3*m**2/2 + 35*m - 10. Let p(o) be the first derivative of t(o). Factor p(c).
-3*(c + 1)*(c + 4)/4
Let i(t) = -t**3 + 6*t**2 + 7*t + 5. Let j be i(7). Suppose -g + 12 = -4*g, j*g = 3*x - 98. Factor x*n**3 + 15*n**2 + 47*n**3 - 6*n**2 - 6*n + 8*n**3.
3*n*(3*n + 1)*(9*n - 2)
Let s(m) be the first derivative of 19 - 1/6*m**2 + 0*m + 1/6*m**3 - 1/24*m**4. Solve s(b) = 0 for b.
0, 1, 2
Let t(a) = -11*a**3 + 9*a**2 - 3*a + 5. Let n(y) = -100*y**3 + 80*y**2 - 25*y + 45. Let c(b) = 6*n(b) - 55*t(b). Find s, given that c(s) = 0.
1
Let a(y) be the third derivative of -y**7/210 + y**6/60 + 23*y**5/60 - y**4 - 24*y**3 - 10*y**2. Factor a(h).
-(h - 4)**2*(h + 3)**2
Suppose -89*c**3 + 12*c + 85*c**3 - 372*c**2 + 362*c**2 + 2*c**4 = 0. What is c?
-2, 0, 1, 3
Suppose 59 - 171 = 16*t. Let n be t/21 - (-8)/15. Factor 1/5*y**2 - n*y + 0.
y*(y - 1)/5
Let l(q) = q**2 + 3*q - 13. Let v be l(-6). Suppose -5*j + 6 - 3 - v*j**2 - 3 = 0. Calculate j.
-1, 0
Let f = 1423/210 + -93/14. Factor -f*u + 2/15*u**3 + 2/15*u**2 - 2/15.
2*(u - 1)*(u + 1)**2/15
Let n(j) be the second derivative of -3*j**5/20 + 19*j**4/4 - 40*j**3 - 150*j**2 - 34*j. Factor n(q).
-3*(q - 10)**2*(q + 1)
Let b(g) = g + 8. Let z be b(-7). Let w be 22/33*(z + 5). Suppose -154 + w*n + 154 + 2*n**3 + 6*n**2 = 0. Calculate n.
-2, -1, 0
Let x(b) be the second derivative of -b**5/480 - 5*b**4/192 - b**3/12 - 17*b**2/2 - 26*b. Let h(k) be the first derivative of x(k). Factor h(r).
-(r + 1)*(r + 4)/8
Let j(a) = -5*a**2 + 65*a - 55. Let g(p) = 2*p**2 - 33*p + 28. Let t(d) = -5*g(d) - 3*j(d). Factor t(l).
5*(l - 5)*(l - 1)
Let s(r) = -3*r + 19. Let j be s(-9). Let y = j - 42. Solve -1/4*t**3 + 1/2*t**2 + 0*t - 1/4*t**y + 0 = 0.
-2, 0, 1
Let s = -142 + 144. Factor 9/4*m - 3/2*m**s + 1/4*m**3 - 1.
(m - 4)*(m - 1)**2/4
Let m(p) be the second derivative of 0*p**2 + 0 + 6*p + 1/24*p**4 - 1/12*p**3. Find k such that m(k) = 0.
0, 1
Suppose -6*i = -28 - 2. Suppose 132 = 2*d + 2*c, d = c - i*c + 72. Factor -4*l**4 - 7*l + 14*l - 96*l**2 - d + 131*l - 10*l + 32*l**3.
-4*(l - 2)**4
Let h(b) be the first derivative of 1/12*b**4 + 1/2*b**2 - 1/3*b**3 - 9 - 1/3*b. Find p such that h(p) = 0.
1
Let q = 18835 - 18833. Find k such that -15/4*k - 3*k**q - 3/2 - 3/4*k**3 = 0.
-2, -1
Let c be 0 + 0 - 1 - -3. Let b = 2 + c. Determine u so that -83*u**2 + 15*u**3 - 21*u**b - 4 + 61*u**3 + 0*u**4 + 32*u = 0.
2/7, 1/3, 1, 2
Let v = -52 - -60. Factor 13*f**5 + v*f - 10*f**5 + 25*f**2 + 12*f**3 - 7*f**5 - 5*f**2 - 4*f**4.
-4*f*(f - 2)*(f + 1)**3
Let v(a) be the second derivative of 4*a + 1/8*a**2 + 0*a**3 - 1/48*a**4 + 0. Determine r, given that v(r) = 0.
-1, 1
Let u be 1/2 + (-168)/(-16). Solve 3*k**3 + 38*k - u*k - 9*k + 90*k + 36*k**2 = 0 for k.
-6, 0
Let v = 21869/43734 + -1/21867. Suppose 1/2*m + 1 - v*m**2 = 0. What is m?
-1, 2
Suppose 7*c - 25 = -18. Let o(h) = -1. Let i(w) = -w**2 + w. Let f(r) = -r**2 + 6*r + 9. Let p(z) = f(z) - 2*i(z). Let m(l) = c*p(l) + 5*o(l). Factor m(g).
(g + 2)**2
Let q(u) = -u**3 - 2*u**2 - 7*u - 10. Let k be q(-2). Let x(v) be the first derivative of -v**3 - 3/4*v**k + 3/2*v**2 - 4 + 3*v. Factor x(c).
-3*(c - 1)*(c + 1)**2
Let o be 24/60*(16 - 1). Suppose 21 = -o*z + 9*z. Solve -z*i - 4*i**3 + i + i + i - 8*i**2 = 0 for i.
-1, 0
Factor 81 - 11*w**3 - 3*w**4 + 149*w**3 + 275*w**2 + 3*w**5 + 162*w + 81*w - 5*w**2 + 36*w**4.
3*(w + 1)**2*(w + 3)**3
Suppose -4*b - b - 29 = -2*s, s = b + 7. Factor f**3 + 1 + 9*f**s - 6 - 4*f**3 - 7.
-3*(f - 2)**2*(f + 1)
Let i(t) = 3*t**3 - 3*t**2 + 2*t + 8. Let g(u) be the first derivative of 3*u**4/4 - u**3 + 3*u**2/2 + 9*u - 10. Let h(n) = 5*g(n) - 6*i(n). Factor h(r).
-3*(r - 1)**2*(r + 1)
Factor 40 + 2/3*c**3 + 20/3*c**2 - 142/3*c.
2*(c - 4)*(c - 1)*(c + 15)/3
Determine u, given that -4/3*u - 14*u**3 - 25/3*u**2 + 0 - 3*u**4 = 0.
-4, -1/3, 0
Let u = -62 - -70. Factor -6*l**2 - 4*l**2 + u*l**2 + 6*l.
-2*l*(l - 3)
Let w(f) = -f**3 - 9*f**2 - f - 7. Let z be w(-9). Let l(q) be the first derivative of 3/4*q**z + 9/4*q + 1/12*q**3 - 2. Suppose l(k) = 0. What is k?
-3
Let s(w) = -6*w**2 - 22*w - 107. Let n(u) = -4*u**2 - 20*u - 108. Let y(i) = 5*n(i) - 4*s(i). Determine v so that y(v) = 0.
-4, 7
Let h(m) = -12*m**3 + 40*m**2 - 233*m + 175. Let l(i) = 19*i**3 - 60*i**2 + 351*i - 262. Let y(q) = 8*h(q) + 5*l(q). Factor y(s).
-(s - 10)*(s - 9)*(s - 1)
Let z be (17/510*10)/(34/192). Factor 180/17*x**2 + 2/17*x**4 - z*x**3 - 400/17*x + 250/17.
2*(x - 5)**3*(x - 1)/17
Let a(d) = -81*d - 483. Let m be a(-6). Let u = 393 - 4307/11. Factor -12/11*b**2 + 0*b - u*b**m - 6/11*b**4 + 2/11.
-2*(b + 1)**3*(3*b - 1)/11
Suppose -o + 16 = 3*o. Let h be 1/o + (-20502)/(-680). Solve -144/5*y - h*y**2 + 184/5*y**4 + 12*y**5 - 32/5 + 84/5*y**3 = 0 for y.
-2, -1, -2/3, -2/5, 1
Let i(t) be the third derivative of -t**5/180 - t**4/8 - 10*t**3/9 + t**2 - 6*t. Factor i(o).
-(o + 4)*(o + 5)/3
Let t = 35 + -50. Let a = -10 - t. Suppose -5 - 2*p - p**3 + a + p + 2*p**2 = 0. What is p?
0, 1
Let z be 3/4 - (-113955)/(-420). Let r = z + 272. Factor -10/7*u**4 + r*u + 2/7*u**5 + 20/7*u**3 - 20/7*u**2 - 2/7.
2*(u - 1)**5/7
Suppose -1/2*d**3 - 437/2*d - 20*d**2 - 361 = 0. Calculate d.
-19, -2
Let v(z) = z**2 - 4*z + 6. Let q be v(2). Let i(m) = -2*m**2 + 8*m - 28. Let f(k) = 1. Let j(c) = q*i(c) + 44*f(c). Solve j(a) = 0.
1, 3
Let a(o) be the first derivative of -2*o**5/105 - o**4/14 - 4*o**3/63 - 58. What is r in a(r) = 0?
-2, -1, 0
Let r(z) be the third derivative of 0*z + 3/20*z**5 + 1/12*z**4 + 0*z**3 + 0 + 1/10*z**6 + 1/42*z**7 - 29*z**2. Factor r(i).
i*(i + 1)**2*(5*i + 2)
Let h(g) be the third derivative of -g**6/24 + g**5/12 + 5*g**4/2 + 134*g**2. Factor h(i).
-5*i*(i - 4)*(i + 3)
Factor -2/3*h**5 + 0*h - 20/3*h**3 + 0*h**2 - 22/3*h**4 + 0.
-2*h**3*(h + 1)*(h + 10)/3
Let q be (-11 + 6)/((-2)/4). Let 4 + q - 12*o + 3*o**2 - 5 = 0. Calculate o.
1, 3
Let a(h) = -15*h**2 - 12*h - 23. Let g be a(-3). Let x = -118 - g. Factor 32/3*p + 38/3*p**3 + 50/3*p**2 + 14/3*p**x + 8/3 + 2/3*p**5.
2*(p + 1)**3*(p + 2)**2/3
Let u(n) = -3*n**3 - 39*n**2 + 902*n + 50. Let w be u(-25). Suppose 2/5*q**2 + w + 8/5*q = 0. Calculate q.
-4, 0
Let v(w) be the second derivative of -w**6/225 + 3*w**5/50 + w**4/9 + 265*w. What is j in v(j) = 0?
-1, 0, 10
Let h(s) be the second derivative of s**5/90 - s**4/18 + s**3/9 + 19*s**2/2 - s. Let r(j) be the first derivative of h(j). Factor r(d).
2*(d - 1)**2/3
Let g(l) be the first derivative of l**6/6 - 13*l**5/5 + 15*l**4 - 112*l**3/3 + 32*l**2 + 229. Solve g(j) = 0.
0, 1, 4
Let k(d) = 2*d**3 - 258*d**2 + 11094*d - 159028. Let x(g) = -g**3 + 129*g**2 - 5547*g + 79515. Let s(z) = -4*k(z) - 7*x(z). Determine b so that s(b) = 0.
43
Find r such that -98/11 - 224/11*r - 58/11*r**2 - 4/11*r**3 = 0.
-7, -1/2
Let 3*b**3 - 40*b**2 + 5*b**4 + 60*b**2 + 17*b**3 = 0. Calculate b.
-2, 0
Let d(y) = -y**2 - 8*y - 14. Let h(f) = 2*f**2 + 16*f + 27. Let i(w) = 15*d(w) + 6*h(w). Factor i(b).
-3*(b + 4)**2
Let f be (-1)/3 - 65/(-60)*4. Determine u, given that -55*u + f + u + 11*u**2 + 30*u = 0.
2/11, 2
Let i be 2 + 4 - (1058/345 + (-4)/10). Factor 2/3*j**4 + 14/3*j**3 + 0 + i*j + 22/3*j**2.
2*j*(j + 1)**2*(j + 5)/3
Let j(q) be the first derivative of -2*q**5/25 - 11*q**4/10 - 14*q**3/3 - 5*q**2 - 85. Factor j(c).
-2*c*(c + 1)*(c + 5)**2/5
Suppose 0 = -92*u + 93*u + 5. Let g be 5/10*(u - -3)/(-4). Factor 0*a**3 + 3/4*a**4 - a**2 + g*a**5 + 0 + 0*a.
a**2*(a - 1)*(a + 2)**2/4
Let k(q) be the first derivative of 0*q**3 + 1/8*q**2 - 12 - 1/40*q**5 - 1/16*q**4 + 1/8*q. Determine d, given that k(d) = 0.
-1, 1
Let s(v) be the third derivative of -v**6/24 - 7*v**5/4 + 75*v**4/8 - 115*v**3/6 - 8*v**2 + 3. Find n, given that s(n) = 0.
-23, 1
Let p(l) = 8*l**2 + 5*l. Let m(x) be the first derivative of -8*x**3/3 - 2*x**2 - 16. Let n(i) = -6*m(i) - 4*p(i). Determine w, given that n(w) = 0.
-1/4, 0
Let c be 3/15 + (5 - (-154)/(-30)). Let x(o) be the second derivative of 1/15*o**4 + o - c*o*