5 - 30*b**4 + 30*b**3 + 280*b**2 + 345*b + 9738. Solve d(c) = 0 for c.
-1, 3, 23
Let q = 695 - 692. Factor 30 + 87 + 28 - 54*l - q*l**2 - 25.
-3*(l - 2)*(l + 20)
Let y(t) be the third derivative of -t**6/60 - 58*t**5/15 - 229*t**4/12 - 38*t**3 - t**2 + 291*t. Determine w, given that y(w) = 0.
-114, -1
Let o(s) be the third derivative of 2/735*s**7 + 0*s + 1/105*s**6 + 16 + 0*s**3 - 1/21*s**4 - 1/105*s**5 + s**2. Factor o(d).
4*d*(d - 1)*(d + 1)*(d + 2)/7
Let p = -23242/3 + 302152/39. Find m, given that 28/13*m**2 + 0 - 98/13*m - p*m**3 = 0.
0, 7
Let t = 6853 + -68529/10. Let m(n) be the first derivative of -1/30*n**3 - t*n**2 + 16 + 3/10*n. Solve m(f) = 0.
-3, 1
Let m(b) = -175*b**2 - 1135*b + 97. Let i(q) = 29*q**2 + 189*q - 16. Let a(k) = -13*i(k) - 2*m(k). Let a(l) = 0. Calculate l.
-7, 2/27
Let a = 55916 + -111831/2. Factor 4*h**3 - 3/2*h**2 + a*h**4 + 8 - 11*h.
(h - 1)**2*(h + 2)*(h + 8)/2
Let w be 7/7 - 4 - -7. Let u(b) = b**3 + 31*b**2 - 14*b. Let f(z) = 10*z**2 - 4*z. Let s(x) = w*u(x) - 14*f(x). Factor s(j).
4*j**2*(j - 4)
Let z = -177 - -178. Let b(d) = d**2 - d. Let v(k) = 4*k**3 + 25*k**2 + 59*k + 32. Let r(u) = z*v(u) + 3*b(u). Solve r(p) = 0 for p.
-4, -2, -1
Factor -2/5*f**4 + 186/5*f**2 + 0*f + 184/5*f**3 + 0.
-2*f**2*(f - 93)*(f + 1)/5
Factor -y**4 - 12928*y**2 - 31346*y**2 - 3307949 + 1949581*y + 146*y**3 - 5324133*y - 594*y**3 - 22776*y**2.
-(y + 1)*(y + 149)**3
Let m be 90/6*4/180. Suppose -169/3 - m*v**2 - 26/3*v = 0. What is v?
-13
Let t = -372895/3 - -124525. Let -t*b**3 - 500/9*b**5 + 128/3 + 5552/9*b**2 - 2900/9*b**4 - 2656/9*b = 0. What is b?
-4, -3, 2/5
Let v be 186/31*4/6. Let n be (-20)/(-9) - v/18. Factor 3/2*s - s**3 - s**n - 1/2 + 3/2*s**4 - 1/2*s**5.
-(s - 1)**4*(s + 1)/2
Find n, given that -267/2*n + 803/4*n**2 + 1/4*n**5 + 0 - 3/4*n**3 - 267/4*n**4 = 0.
-2, 0, 1, 267
Let v(q) be the third derivative of 2*q**2 + 0 + 1/30*q**5 + 961/3*q**3 - 78*q - 31/6*q**4. Determine k so that v(k) = 0.
31
Let a(t) be the second derivative of t**6/30 + 9*t**5/10 + 27*t**4/4 - 3*t + 92. Factor a(m).
m**2*(m + 9)**2
Let p be ((-2)/((-32)/60))/(2/17 - 1081/(-782)). Let -p + 35/4*l - 15/2*l**2 = 0. Calculate l.
1/2, 2/3
Let l(n) be the first derivative of 2*n**3/9 - 10*n**2/3 + 6*n - 4. Find k such that l(k) = 0.
1, 9
Let p be ((-36)/(-20)*-5)/((-9)/2). Let x(v) be the first derivative of 9 + 1/7*v**4 - 4/21*v**3 + 0*v - 12/7*v**p. Factor x(l).
4*l*(l - 3)*(l + 2)/7
Let g = -15394 + 15394. Let f(j) be the second derivative of -1/10*j**5 + 1/30*j**6 + g + 0*j**2 + 1/3*j**3 - 1/12*j**4 + 3*j. Suppose f(o) = 0. Calculate o.
-1, 0, 1, 2
Suppose -3*a - 5*k + 44 = 0, 2*k + 20 = 4*a - k. Let v be (a/(-12))/(6/(-36)). Solve 154*y**v - 10*y - 72*y**4 - 15*y**2 - 77*y**4 = 0.
-1, 0, 2
Suppose 17*a + 1103 = 3058. What is j in -16*j - 24 + 122*j**2 - 239*j**2 + a*j**2 = 0?
-6, -2
Let c(a) = -2*a**2 + a + 1. Let l(z) = -43 - 34*z**2 - 155 - 142*z + 13*z**2. Let d(v) = 2*c(v) + l(v). Factor d(h).
-(5*h + 14)**2
Let c(p) = -40*p**3 + 4384*p**2 + 8744*p + 4368. Let v(w) = -37*w**3 + 4383*w**2 + 8745*w + 4369. Let z(f) = 11*c(f) - 12*v(f). Factor z(b).
4*(b - 1095)*(b + 1)**2
Let w(f) be the third derivative of -3/5*f**5 - 4*f**2 + 0*f**7 + 2/3*f**4 - 1/168*f**8 + 0*f**3 + 0 + 22*f + 11/60*f**6. Let w(z) = 0. What is z?
-4, 0, 1, 2
Let i(m) = -3*m**2 + 454*m + 161. Let v(h) = -12*h**2 + 1805*h + 645. Let w(y) = 18*i(y) - 4*v(y). Factor w(q).
-2*(q - 159)*(3*q + 1)
Let s(q) = 3. Let i(z) = -76*z**2 + 904*z + 102. Let o(m) = -i(m) + 2*s(m). Factor o(g).
4*(g - 12)*(19*g + 2)
Let j(y) be the second derivative of y**7/70 + 111*y**6/50 + 1881*y**5/20 + 605*y**4/4 + 134*y + 2. Factor j(t).
3*t**2*(t + 1)*(t + 55)**2/5
Suppose 28*g + 5*s = 23*g + 40, -2*s - 14 = -4*g. Let u(d) be the first derivative of 0*d - 3/5*d**g + 0*d**2 + 7 + 3*d**3 + 3/2*d**4. Factor u(w).
-3*w**2*(w - 3)*(w + 1)
Suppose -613*m + 608*m = -30. Factor -8*b**5 + 40*b**4 - m*b - 2*b - 70*b**3 - 60*b**2 + 100*b**2 + 4*b**3.
-2*b*(b - 2)**2*(2*b - 1)**2
Let s(g) be the first derivative of 1/5*g**2 - 2/15*g**3 - 1/10*g**4 + 20 + 2/5*g. Suppose s(b) = 0. What is b?
-1, 1
Let q(z) be the second derivative of -z**6/75 + 19*z**5/25 + 8*z**4/3 - 1877*z. Factor q(w).
-2*w**2*(w - 40)*(w + 2)/5
Let h(u) be the first derivative of -4/5*u**5 + 87 + 0*u + 8*u**3 + 0*u**2 + u**4. Determine j so that h(j) = 0.
-2, 0, 3
Let x = 4660 + -4657. Let t(m) be the first derivative of 0*m - 16 + 3/5*m**5 - 1/6*m**6 + m**2 - 1/4*m**4 - m**x. Factor t(b).
-b*(b - 2)*(b - 1)**2*(b + 1)
Let s = 11209 - 11203. Let x(y) be the third derivative of -1/36*y**4 + 2/27*y**3 - 11*y**2 + 0*y + 1/180*y**s + 0 - 1/135*y**5. Solve x(f) = 0 for f.
-1, 2/3, 1
Let z(m) be the first derivative of -m**6/8 - 57*m**5/20 + 27*m**4/16 + 175*m**3/4 + 24*m**2 - 171*m - 3468. What is j in z(j) = 0?
-19, -2, 1, 3
Determine n, given that 39605/2 - 89*n + 1/10*n**2 = 0.
445
Let l = -3601 - -3604. Let b(k) be the second derivative of 1/3*k**l - 13*k + 0*k**2 - 1/4*k**4 + 1/20*k**5 + 0. Factor b(j).
j*(j - 2)*(j - 1)
Let q(k) be the second derivative of 0 + 152*k - 4/5*k**3 - 4/15*k**4 + 1/50*k**5 + 144/5*k**2. Suppose q(h) = 0. What is h?
-4, 6
Let t(m) be the first derivative of -3*m**4/4 + 9*m**3 - 30*m**2 + 36*m - 94. Factor t(z).
-3*(z - 6)*(z - 2)*(z - 1)
Solve 612420 + 11*h**4 + 5*h**5 - 24*h**4 - 220*h**2 - 570*h**3 + 1725*h - 611160 + 133*h**4 = 0.
-28, -1, 3
Let t(w) = -2*w + 1. Let o(c) = 6*c**2 + 40*c + 52. Let v(h) = o(h) + 4*t(h). Let l(a) = 25*a**2 + 126*a + 224. Let i(f) = 2*l(f) - 9*v(f). Factor i(b).
-4*(b + 2)*(b + 7)
Let m be ((-60)/882)/5*(-9)/(-12). Let b = m + 397/490. Factor b*x**2 - 2/5*x**4 + 0*x + 2/5*x**3 + 0.
-2*x**2*(x - 2)*(x + 1)/5
Let g(z) be the first derivative of 0*z**3 + 0*z + 1/27*z**4 - 15/2*z**2 - 9 - 1/27*z**5. Let k(u) be the second derivative of g(u). Find y such that k(y) = 0.
0, 2/5
Let m be (-1 + 90/63)*1 + (-9)/42*2. Determine p, given that m + 57/5*p**2 + 3*p - 12/5*p**3 = 0.
-1/4, 0, 5
Suppose -x = 633*f - 636*f + 39, 0 = -2*x - 4*f + 62. Determine h so that -2*h - 2/3*h**2 + 2/9*h**x - 10/9 = 0.
-1, 5
Suppose 160*y + 131*y = 318*y. Let l(n) be the second derivative of 0*n**2 + 1/70*n**6 + 22*n + 0*n**4 + 0*n**3 + 3/70*n**5 + y. What is w in l(w) = 0?
-2, 0
Let h be (2/2)/2*0. Suppose -89377*a + 89327*a + 150 = 0. Determine d, given that -2/9*d**4 + h + 8/9*d**2 - 2/9*d**a + 8/9*d = 0.
-2, -1, 0, 2
Determine t so that 288*t + 656/3*t**4 + 832*t**2 - 18352/9*t**3 - 6*t**5 + 0 = 0.
-2/9, 0, 2/3, 18
Let y(r) be the second derivative of -r**2 + 1/3*r**3 + 0 + 1/5*r**5 - 1/6*r**4 + 15*r. Let f(s) = s**3 - s**2 + s - 1. Let u(d) = -2*f(d) + y(d). Factor u(m).
2*m**3
Suppose 0 = 5*w + i - 112 + 32, -7*w + 125 = 4*i. Let w*h + 225/2 + 1/2*h**2 = 0. Calculate h.
-15
Let a = 97 - 100. Let x be 48/(-40)*5/a. Let x*k - 20*k + 5*k**2 + 4*k - 11*k = 0. What is k?
0, 5
Let t(x) be the second derivative of x**7/210 - x**6/15 + 39*x**5/100 - 37*x**4/30 + 34*x**3/15 - 12*x**2/5 + 9734*x. Factor t(q).
(q - 3)*(q - 2)**3*(q - 1)/5
Let w(s) be the second derivative of -5*s**3/6 + 49*s**2/2 - 19*s - 1. Let p be w(9). Find i such that 6/23*i**3 + 0 + 0*i**2 - 2/23*i**p + 0*i = 0.
0, 3
Suppose 368/5*r**2 + 16/5*r + 1/5*r**5 - 46/5*r**4 - 736/5 - 8/5*r**3 = 0. Calculate r.
-2, 2, 46
Solve 2*n**3 - 22*n**2 + 184 + 104*n**2 - 163*n - 109*n + 4*n**2 = 0 for n.
-46, 1, 2
Let p(o) be the third derivative of 1/60*o**6 + 0*o - 1/30*o**5 + 53*o**2 - 5/12*o**4 - o**3 + 0. Let p(b) = 0. Calculate b.
-1, 3
Suppose 40 = 5*g + 5, 7*g = -5*l + 254. Let v(r) be the first derivative of 7/3*r**3 + 0*r - r**2 + l - 5/4*r**4. Solve v(f) = 0 for f.
0, 2/5, 1
Let b(x) be the first derivative of x**4/8 + 25*x**3/3 + 168*x**2 + 576*x - 5931. Find z such that b(z) = 0.
-24, -2
Suppose -6 = 4*v - 6*v. What is l in -l - 118 + v*l**2 + 7*l + 118 = 0?
-2, 0
Let i(u) = -u**2 + 23*u - 40. Let a be i(21). Factor 208*g**3 + 7*g - 428*g**3 + 217*g**3 + a*g**2 + 2.
-(g - 2)*(g + 1)*(3*g + 1)
Let t(w) be the first derivative of -w**3/12 + 73*w**2/8 + 195*w/2 + 3181. Let t(y) = 0. What is y?
-5, 78
Let b = 20/127 + -173/1905. Let u(x) be the second derivative of 0 + 1/5*x**5 + b*x**6 + 0*x**3 + 0*x**2 + 2*x + 1/6*x**4. Factor u(m).
2*m**2*(m + 1