2 - 1/66*q**4 - 7 - 7/33*q**3 + 5*q. Let d(w) be the first derivative of c(w). Determine i so that d(i) = 0.
-6, -1
What is w in -4 - 14/5*w - 2/5*w**2 = 0?
-5, -2
Suppose -5*o + 3*o - 2*b + 46 = 0, 3*b + 57 = 4*o. Let k be o/12*2/9*7. Find g, given that -k*g**4 + g**5 + g**2 + g**3 - 2/3*g + 0 = 0.
-2/3, 0, 1
Let d(b) be the first derivative of 6*b - 5/16*b**4 - 180 - 1/20*b**5 - 1/6*b**3 + 5/2*b**2. Factor d(p).
-(p - 2)*(p + 2)**2*(p + 3)/4
Let a(p) be the third derivative of 0*p**3 + 3*p**2 - 1/210*p**5 - 5/28*p**4 - p + 0. Factor a(u).
-2*u*(u + 15)/7
Let h = -1978/27 - -2050/27. Let a(p) be the first derivative of -p**4 + h*p**3 - 32*p + 14 + 8*p**2. Factor a(d).
-4*(d - 2)**2*(d + 2)
Let t(r) = -r**3 - 5*r**2 + 848*r + 434. Let a be t(27). Factor -2*s**4 + 0*s**a + 2/3*s**5 + 0*s + 0*s**3 + 0.
2*s**4*(s - 3)/3
Let y(o) be the first derivative of 2*o**6/75 + 6*o**5/25 + 4*o**4/15 - 4*o**3/5 - 2*o**2 + 92*o - 55. Let x(s) be the first derivative of y(s). Factor x(n).
4*(n - 1)*(n + 1)**2*(n + 5)/5
Let s be (5 - (-30)/(-15))*(0 - -1). Find k such that 256/5*k + 16/5*k**5 - 47/5*k**s + 32/5 - 88/5*k**4 + 506/5*k**2 = 0.
-2, -1/4, 4
Suppose -4*l + 3 = -5. Let p be ((-36)/(-22))/((-30)/(-44)). Find z such that 0 + p*z - 4/5*z**l = 0.
0, 3
Let b(o) = -11*o - 250. Suppose -5*s - 2 = -17, -5*s = -3*x - 84. Let u be b(x). What is p in -8/3 - 8/3*p + 2/3*p**2 + 2/3*p**u = 0?
-2, -1, 2
Factor 12823*p**3 + 50*p - 95*p**2 + 12816*p**3 + 5*p**4 - 25599*p**3.
5*p*(p - 1)**2*(p + 10)
Let p(x) = 2*x**3 - 762*x**2 + 3128*x - 88. Let w(k) = -k**3 + 508*k**2 - 2086*k + 55. Let i(o) = 5*p(o) + 8*w(o). Determine g so that i(g) = 0.
-131, 0, 4
Let u(t) = 4*t**4 - 84*t**3 + 978*t**2 - 2698*t + 1824. Let b(i) = 3*i**4 - 86*i**3 + 978*i**2 - 2699*i + 1824. Let k(o) = 6*b(o) - 5*u(o). Factor k(j).
-2*(j - 4)**2*(j - 1)*(j + 57)
Let z = 994146 - 994143. Factor 240/13 + 42/13*g**z + 376/13*g + 204/13*g**2 + 2/13*g**4.
2*(g + 2)**3*(g + 15)/13
Let y(l) = -11*l**5 + 42*l**4 - 15*l**3 - 52*l**2 - 12. Let n(h) = -h**5 + 3*h**4 - h**3 - 3*h**2 - h - 1. Let u(s) = 12*n(s) - y(s). Factor u(w).
-w*(w - 1)**2*(w + 2)*(w + 6)
Let p(b) be the third derivative of b**8/448 + 4*b**7/35 - 71*b**6/160 - 47*b**5/40 + 67*b**4/8 - 17*b**3 - b**2 + 1631. Find j, given that p(j) = 0.
-34, -2, 1, 2
Suppose 27/5*d**3 - 96*d**2 + 1647/5*d + 78 = 0. Calculate d.
-2/9, 5, 13
Let n = 584 + -581. Factor 4 + 0 + 4*a**2 - 9 - 6 + n - 4*a.
4*(a - 2)*(a + 1)
Let h(y) be the first derivative of -y**5/15 + 6*y**4 - 216*y**3 + 39*y**2/2 + 2*y - 57. Let r(o) be the second derivative of h(o). What is t in r(t) = 0?
18
Let p be (-27)/45 - (-36)/10. Suppose 810*f**p - 18 - 9*f**2 + 24*f - 809*f**3 - 2 = 0. Calculate f.
2, 5
Let q(z) be the first derivative of z**4/4 + 19*z**3/6 - 5*z**2/2 + 575. Factor q(i).
i*(i + 10)*(2*i - 1)/2
Let n(v) be the second derivative of 7/3*v**3 + 13/2*v**2 - 1 + 1/12*v**4 - 12*v. Determine h, given that n(h) = 0.
-13, -1
Let -2400*i + 0 + 2480*i**2 - 242/3*i**3 + 2/3*i**4 = 0. What is i?
0, 1, 60
Let x be (-190)/(-1140) - 1/6. Let g(r) be the third derivative of -26*r**2 - 1/180*r**5 + x*r**3 + 0*r**4 + 0*r + 0. Let g(d) = 0. Calculate d.
0
Let g = -14 - -16. Factor -15*i - 2*i + 20 - 2*i**2 + 4 + g*i**3 + i.
2*(i - 2)**2*(i + 3)
Let o be -6*(-11)/231*14. Let q(w) be the third derivative of 0 + 0*w - 1/315*w**7 + 1/180*w**5 + 0*w**o + 5*w**2 + 0*w**3 + 1/360*w**6. Factor q(m).
-m**2*(m - 1)*(2*m + 1)/3
Let v(u) be the second derivative of 4*u**6/21 + 79*u**5/35 + 152*u**4/21 - 32*u**3/21 - 3*u + 656. Factor v(m).
4*m*(m + 4)**2*(10*m - 1)/7
Let 11 + 1/10*i**2 + 27/10*i = 0. What is i?
-22, -5
Let k = 66 + -52. Suppose -5*s + 14 = 4*v - 2*v, -4*s = 2*v - k. Factor -g + 2*g + 2*g**2 + 0*g + v*g.
2*g*(g + 4)
Let p = 326 + -321. Find o such that -185*o**3 - 4 + 2*o**p + 4*o**5 + 269*o**3 - 37*o**4 - 85*o**2 + 36*o = 0.
1/6, 1, 2
Let v be 25/4 - (75/(-20))/5. Suppose 0 = v*n - 6 - 29. Suppose -21*j + 10*j**3 + 6*j + 10*j - n*j**5 = 0. What is j?
-1, 0, 1
Suppose 6*d**4 + 32*d + 2*d**4 - 4*d**3 + 3*d**2 - 28 - d**4 - 4*d**3 - 6*d**4 = 0. What is d?
-2, 1, 2, 7
Let f(q) = 4025*q + 4. Let t be f(0). Factor -32/7*v - 11/7*v**2 - t - 1/7*v**3.
-(v + 2)**2*(v + 7)/7
Let i(b) be the first derivative of -b**4/2 + 52*b**3 - 1521*b**2 + 797. Factor i(v).
-2*v*(v - 39)**2
Let x be 1/((-14)/(-4)) + 96/56. Suppose -4*y - 14 = -2*m, -2*m - x*y + 49 = 17. Determine b, given that -6*b**2 + 18*b**4 - m*b**4 - 3*b**2 + 4*b**2 = 0.
-1, 0, 1
Let l = -573 - -578. Factor 206*c - 206*c - 20*c**3 + l*c**4.
5*c**3*(c - 4)
Let i = 207 + -203. Let v(m) = -5*m**5 - m**4 + m**2 - 13*m - 9. Let h(c) = c**5 + 3*c + 2. Let x(n) = i*v(n) + 18*h(n). Factor x(t).
-2*t*(t - 1)*(t + 1)**3
Let k(h) = 14*h**3 + 7*h**2 - 101*h + 7. Let l(d) = 8*d**3 + 3*d**2 - 50*d + 2. Let p(z) = -2*k(z) + 5*l(z). Determine r so that p(r) = 0.
-2, -1/12, 2
Let 0*n - 18*n**3 + 81/2*n**2 - 51/2*n**4 + 0 + 3*n**5 = 0. Calculate n.
-3/2, 0, 1, 9
Let v(l) = -7*l + 7. Let b be ((-2)/(-5))/(8/20). Let y be v(b). Factor 5/2*n**2 + y - 10*n.
5*n*(n - 4)/2
Suppose 5*y - 3*n + 1 = 0, 2*y - n - 1 = -y. Suppose 0 = -3*t + 5*l + 17, -2*l = -t + l - y. Factor 4 - 34 - 1764*v**2 + 336*v + t.
-4*(21*v - 2)**2
Let c(j) be the third derivative of j**7/735 - 571*j**6/70 + 652082*j**5/35 - 372338822*j**4/21 - 2683*j**2 + 2*j. Let c(p) = 0. What is p?
0, 1142
Let m = -2 + 4. Let d(s) = -373*s + 10460. Let f be d(28). Find x such that 56/3*x + 4*x**m + f - 2/3*x**4 - 2*x**3 = 0.
-2, 3
Let d(m) be the second derivative of -m**5/80 - 37*m**4/2 - 8214*m**3 + 411*m + 3. What is n in d(n) = 0?
-444, 0
Let y(q) be the first derivative of -4/9*q**3 - 4/9*q**6 - 1/3*q**2 + 1/2*q**4 - 243 + 0*q + 8/15*q**5. Determine i so that y(i) = 0.
-1/2, 0, 1
Let v = 789589/5 - 157873. Determine d so that -48/5 - 36/5*d**2 + v*d = 0.
2/9, 6
Let p(k) be the third derivative of -k**7/630 + 7*k**6/60 - 85*k**5/36 + 119*k**4/6 - 58*k**3 - 1998*k**2. Factor p(w).
-(w - 29)*(w - 6)**2*(w - 1)/3
Let p = -25428 + 25428. Determine n so that -9/2*n**3 + p + 6*n**2 + 0*n - 3/2*n**4 = 0.
-4, 0, 1
Let t(b) = -b**3 - 13*b**2 - 9*b + 21. Let a be t(-12). Let h(r) = 2*r**3 + 1. Let m(v) = 9*v**3 - 26*v**2 + 5. Let z(u) = a*h(u) + 3*m(u). Factor z(i).
-3*i**2*(i + 26)
Let j(g) be the third derivative of 0 + 5*g**6 + 125/7*g**7 - 16/9*g**3 - 164/9*g**4 - 208/9*g**5 + 2*g - 45*g**2. Find f such that j(f) = 0.
-2/5, -2/75, 2/3
Let o(a) be the third derivative of a**5/60 - a**4/24 - a**3/6 + a**2 - 40*a. Let t(l) = -10*l**2 + 156*l + 2604. Let h(q) = 12*o(q) + t(q). Factor h(f).
2*(f + 36)**2
Let i = -122215 + 488861/4. Find t, given that -5/4 + t + i*t**2 = 0.
-5, 1
Let b be (1/16*(91 - 67))/3. Suppose 0*n - 3*n**3 - 4*n**2 + 0 - b*n**4 = 0. What is n?
-4, -2, 0
Let c be (-3416)/(-2) - (18 - 14). Suppose x**3 - 11741 - 18050 + 825*x - 93*x**2 + c*x + 354*x = 0. Calculate x.
31
Let s(r) be the second derivative of r**8/1680 + r**7/420 + 5*r**3/2 + r**2/2 - 37*r - 3. Let j(p) be the second derivative of s(p). Factor j(n).
n**3*(n + 2)
Let d(f) be the second derivative of f**5/75 - 7*f**4/30 - 53*f**2 + 45*f. Let s(p) be the first derivative of d(p). Find q such that s(q) = 0.
0, 7
Let k(p) = -2*p**2 + 129*p - 685. Let s(z) = -15*z**2 + 1035*z - 5475. Let m(j) = -25*k(j) + 3*s(j). Factor m(h).
5*(h - 14)*(h - 10)
Let c(x) = -3*x**2 + 5 + 5*x**2 + x**3 + 3*x**2 + 0 + 2*x. Let w be c(-4). Solve 6*j - 26*j - 3*j**4 - w*j**2 - 17*j**2 - 2*j**4 - 5 - 20*j**3 = 0.
-1
Factor 6*r**3 + 786*r**2 - r**3 - 169*r**2 + 13*r**2 + 39605*r + 260*r**2.
5*r*(r + 89)**2
Suppose 12 = -6*s + 3*r, 2*s - 49 + 61 = 3*r. Factor 0 + 20/3*f**2 + s*f - 2/3*f**3.
-2*f**2*(f - 10)/3
Suppose 0 = -7*q + 4475 + 1125. Determine c, given that -1379*c**3 - 3050*c**2 + q*c - 48 - 1641*c**2 + 223*c**3 + 1495*c**2 = 0.
-3, 2/17
Let l = -3 + 5. Let v be 8*(-29 + (-22659)/(-780)). Suppose 0*o**3 - 4/5*o**l + 2/5 + 0*o + v*o**4 = 0. Calculate o.
-1, 1
Let q(g) be the first derivative of 1/5*g**5 - 2*g**4 + 7*g**3 + 8*g - 11*g**2 + 6. What is j in q(j) = 0?
1, 2, 4
Let a = -1332515/9 - -148059. Determine n so that 2/9*n**3 + 4/3*n**2 + 8/3*n + a = 0.
-2
Let y be (1 - 17037/45) + 2/10. Let d = 379 + y. Let 2/5*n**2 - d - 6/5*n = 0. What 