 + 144*t - 10*t**3 + 9*t**3 - 21*t**3 - 164*t**4 - 20*t**2.
-2*t*(t - 2)*(t + 4)*(t + 9)
Let j = -168 + 176. Determine m, given that -12 + 3*m - 5*m**2 + 42 - j*m = 0.
-3, 2
Let s(a) = 3*a**4 - 15*a**3 + 29*a**2 + 23*a - 28. Let k(r) = -3*r**4 + 12*r**3 - 31*r**2 - 22*r + 29. Let y(w) = -4*k(w) - 5*s(w). Solve y(t) = 0.
-1, 1, 8
Let o(c) be the second derivative of -7*c**3/6 - 47*c**2/2 - 2*c - 6. Let g be o(-7). Solve 2*b + 4/3 - 2*b**3 - 2/3*b**4 - 2/3*b**g = 0 for b.
-2, -1, 1
Let a = -220447/7 - -31493. Factor 0 - 20/7*r**2 + 8*r - a*r**3.
-4*r*(r - 2)*(r + 7)/7
Let k = 8486 - 8483. Let n(g) be the first derivative of -3 + 1/4*g**2 + 1/4*g**k + 1/16*g**4 + 0*g. Factor n(m).
m*(m + 1)*(m + 2)/4
Let b(o) = -o**2 - 4*o + 2. Let j(q) = -q**3 + 14*q**2 - 48*q + 14. Let l(r) = 14*b(r) - 2*j(r). Factor l(f).
2*f*(f - 20)*(f - 1)
Let n(f) be the first derivative of -f**5/40 + f**4/3 + 19*f**3/12 + 5*f**2/2 - 12*f + 38. Let j(c) be the first derivative of n(c). Let j(m) = 0. What is m?
-1, 10
Let w = 138 - -1038. Let v = w + -3526/3. Suppose 2*f**2 + v*f**3 + 4/3 - 2/3*f**4 - 10/3*f = 0. What is f?
-2, 1
Let a = 89/34 + -36/17. Let d(m) be the first derivative of 75/2*m + a*m**3 + 12 - 15/2*m**2. Find s, given that d(s) = 0.
5
Suppose v = -6 + 11. Let b(n) be the second derivative of -n**4 + v*n + 4*n**2 + 2/15*n**6 - 1/5*n**5 + 2/3*n**3 + 0. Suppose b(d) = 0. Calculate d.
-1, 1, 2
Let i(t) be the first derivative of t**3/21 - t**2 - 32*t/7 - 782. Solve i(g) = 0.
-2, 16
Let r(u) = 2*u + 63. Let n be r(-28). Let h(f) = 5*f - 29. Let l be h(n). Suppose 4*k**5 + k + k + l*k**5 - 4*k**4 + 4*k**2 - 12*k**5 = 0. Calculate k.
-1, 0, 1
Let u = 66 - -79. Suppose 11*w**2 + 25*w - 6*w**2 - u*w = 0. What is w?
0, 24
Let n(q) be the first derivative of q**6/45 - 2*q**5/15 + 2*q**4/9 + 31*q - 31. Let l(x) be the first derivative of n(x). Suppose l(m) = 0. Calculate m.
0, 2
Let a(w) be the third derivative of w**7/315 + 2*w**6/45 - w**5/9 - 2*w**4/9 + w**3 - 9*w**2 + 13. Factor a(t).
2*(t - 1)**2*(t + 1)*(t + 9)/3
Let c be 4 + (-1)/(0 + 1) + 10. Suppose c = -0*k - 4*k + 5*x, -5*k + 5*x = 10. Factor -3*y**k - 6*y**2 - 3*y**3 - 774*y + 772*y - 2*y**4.
-2*y*(y + 1)**3
Let x(k) = 3845*k**3 + 20*k**2 - 10. Let z(c) = -1282*c**3 - 3*c**2 + 3. Let a(n) = -3*x(n) - 10*z(n). Factor a(s).
5*s**2*(257*s - 6)
Let y(c) be the first derivative of 2/3*c**3 + 0*c - 41 + 18*c**2. Factor y(f).
2*f*(f + 18)
Let g(h) = -h**2 - 19*h - 58. Let k be g(-15). Find f, given that -10*f**k - 132 - 5*f**2 + 132 + 5*f**4 - 10*f = 0.
-1, 0, 2
Let a(z) = -z**3 - 6*z**2 + 22*z - 5. Let c be a(7). Let q be c/(-61)*((-2)/2)/(-6). Suppose q + 1/3*i**2 - 4/3*i = 0. Calculate i.
2
Let f(k) be the second derivative of 3*k**5/10 + 95*k**4/12 + 89*k**3/6 + 7*k + 11. Factor f(n).
n*(n + 1)*(6*n + 89)
Let a = 1091 + -1091. Suppose -4*m = -3*j - 0 + 1, -4*j - 2*m + 16 = a. Solve 27/4 - 3/4*n**j - 45/4*n + 21/4*n**2 = 0 for n.
1, 3
Let d(l) be the first derivative of l**3/3 - 29*l**2 + 844*l - 107. Let i(u) = -u**2 + 58*u - 845. Let z(k) = 4*d(k) + 3*i(k). Factor z(q).
(q - 29)**2
Let x(l) be the second derivative of 5*l**4/12 - 2080*l**3/3 + 432640*l**2 - 170*l - 1. Factor x(w).
5*(w - 416)**2
Let a(t) = -14*t**2 - 340*t + 670. Let m(q) = 36*q**2 + 680*q - 1339. Let i(x) = -10*a(x) - 4*m(x). Factor i(v).
-4*(v - 168)*(v - 2)
What is u in 21/2*u**4 - 3/4*u**5 - 54*u + 0 + 219/4*u**3 - 21/2*u**2 = 0?
-4, -1, 0, 1, 18
Let r = 81 - 81. Suppose -w + 4 = z, 0*w + w + 3*z - 8 = r. Let o(u) = -1. Let n(q) = -q**2 - 7*q + 3. Let a(b) = w*n(b) + 18*o(b). What is l in a(l) = 0?
-6, -1
Factor -20*y**3 - y**5 + 6 + 10 + 153*y**4 + 4*y**2 + 156*y**4 + 32*y - 313*y**4 + 5*y**5.
4*(y - 2)**2*(y + 1)**3
Let j be (60/(-600))/(4/(-285)) - 7. Let v(a) be the first derivative of -1/12*a**3 + 0*a + 5 + j*a**2. Factor v(g).
-g*(g - 1)/4
Let c(v) be the first derivative of -v**4/36 - 11*v**3/27 + 140*v**2/9 + 3332*v/9 + 2706. Factor c(z).
-(z - 17)*(z + 14)**2/9
Suppose -12*a**3 - 324*a**2 + 0*a**4 + 937*a**2 - 48*a - 339*a**2 + 4*a**4 - 338*a**2 = 0. Calculate a.
-2, -1, 0, 6
Let p be -3 + (-3 - -2) + 6. Suppose 24*k + 218442 - 218442 = 0. Let 0*o**3 + 0*o + 0 + 2/7*o**4 + k*o**p = 0. What is o?
0
Find x, given that 56*x**3 - 683/3*x**2 + 1/3*x**4 + 286*x - 344/3 = 0.
-172, 1, 2
Let 37*k + 1/2*k**3 - 17/2*k**2 - 44 = 0. What is k?
2, 4, 11
Find n, given that 2/5*n**5 + 42/5*n + 0*n**4 - 8*n**2 + 8 - 44/5*n**3 = 0.
-4, -1, 1, 5
Factor -504 - 24*o - 2/7*o**2.
-2*(o + 42)**2/7
Let o = 13640/7 + -1904. Let u = o + -1241/28. Factor 1/4*y**3 - u*y**2 - 3/4 - 5/4*y.
(y - 3)*(y + 1)**2/4
Factor -900/7*u + 4/7*u**3 - 64/7*u**2 + 3168/7.
4*(u - 24)*(u - 3)*(u + 11)/7
Let o(z) be the third derivative of -z**7/105 - 19*z**6/60 - 7*z**5/6 - 17*z**4/12 - 52*z**2 - z - 1. Solve o(v) = 0.
-17, -1, 0
Let l = -4979669/10317 + -1/3439. Let g = l + 484. Factor -g*z + 2/3*z**2 + 0.
2*z*(z - 2)/3
Let r(c) = -c**2 + 1538*c + 16. Let w(h) = -3075*h - 40. Let z(g) = -5*r(g) - 2*w(g). Factor z(p).
5*p*(p - 308)
Suppose -2882*m**3 + 41389*m**4 - 42028*m**4 - 2337*m**3 - 1410*m**3 + 1373*m**3 - 10608*m**2 + 3*m**5 = 0. What is m?
-4, 0, 221
Suppose -29294 = 72*c + 39250. Let k = -950 - c. Suppose -2/11*l**k + 4/11*l + 6/11 = 0. Calculate l.
-1, 3
Let s be (-4)/129*((-56)/49 - -2). Let l = s + 137/301. Let 27/7*m - 9/7*m**2 - l*m**3 - 15/7 = 0. Calculate m.
-5, 1
Factor -26 - 93 - 68*n**2 + 3 + 67*n**2 - 60*n.
-(n + 2)*(n + 58)
Let g(t) be the third derivative of -1/36*t**5 + 2*t + 0 + 64*t**2 + 25/18*t**3 - 5/18*t**4. Suppose g(q) = 0. What is q?
-5, 1
Let y = -186 - -186. Suppose 3*w + 5*v + 13 = y, -4*w = v - 0 - 11. Let -2*l**3 - 23/7*l**2 - 4/7 - 16/7*l - 3/7*l**w = 0. What is l?
-2, -1, -2/3
Let m(y) be the second derivative of 79*y + 13/80*y**5 + 0 - 1/2*y**4 + 3/8*y**3 + 1/4*y**2. Factor m(j).
(j - 1)**2*(13*j + 2)/4
Let p be (-1)/4 - (7 - 148/80). Let k = 91/15 + p. Factor 28/3*z - k*z**2 - 98/3.
-2*(z - 7)**2/3
Let h(w) be the third derivative of w**6/120 + 19*w**5/40 + 17*w**4/4 - 30*w**3 - 123*w**2. Let p(c) be the first derivative of h(c). Let p(o) = 0. Calculate o.
-17, -2
Let u be 608/152 + 2*3/6 + -3. Find d, given that 144/5 - 576/5*d**3 - 21/5*d**5 - 624/5*d + 177/5*d**4 + 888/5*d**u = 0.
3/7, 2
Let g = -118717 + 118720. Factor -4/5*y**2 + 0 + 0*y + 22/5*y**g.
2*y**2*(11*y - 2)/5
Let d(s) be the first derivative of s**3 - 36*s**2 - 156*s + 1272. Find i, given that d(i) = 0.
-2, 26
Let p = -24674/3 - -8095. Let c = -2675/21 - p. Let -c - 72/7*x - 60/7*x**2 + 50/7*x**3 = 0. Calculate x.
-2/5, 2
Suppose -4*d + 906 = 2*x, x + 13*d - 457 = 10*d. Let -h**2 - x - 2*h**2 + 36*h + 484 = 0. What is h?
-1, 13
Let h = 18131 + -725239/40. Let u(a) be the third derivative of 0 - h*a**4 - 1/100*a**6 - 10*a**2 + 0*a**3 + 0*a + 3/100*a**5. Factor u(x).
-3*x*(x - 1)*(2*x - 1)/5
Let p = 2/22419 - -224176/156933. Factor p - 2/7*q**2 + 8/7*q.
-2*(q - 5)*(q + 1)/7
Let s(w) = -25*w**3 - 836*w**2 - 4361*w + 5365. Let o(c) = -5*c**3 - 167*c**2 - 872*c + 1070. Let i(b) = 11*o(b) - 2*s(b). Find g such that i(g) = 0.
-26, -8, 1
Let g = 31717/12 + -2643. Let b(f) be the second derivative of 0 - 2*f**2 + 11*f - 2/3*f**3 - g*f**4. Factor b(u).
-(u + 2)**2
Suppose 5*h + 4*a - 162 = 0, -7*h + 5*a = -2*h - 180. Solve 45*g**4 - 92*g**2 - 45 - 26*g**4 - 16*g**4 + 132*g - h*g**2 + 36*g**3 = 0.
-15, 1
Let r(z) be the first derivative of 3*z**4/4 - 71*z**3 + 1320*z**2 + 43200*z - 7992. Determine o, given that r(o) = 0.
-9, 40
Suppose 3*r - 9 = -2*p, r - 897 = 5*p - 911. Find t, given that -72 - 10/3*t**4 + 30*t**2 - 2/3*t**5 + 0*t + 10/3*t**p = 0.
-3, 2
Suppose -4*j + 403 = 5*s, s - 3*j - 74 = -6*j. Solve 304*k - 1751 + s*k + 263*k - 17605 - 1769 - 5*k**2 = 0 for k.
65
Let j(m) = 10*m**2 + 249*m + 707. Let w(f) = 7*f**2 + 202*f + 707. Let g(l) = 4*j(l) - 6*w(l). Factor g(t).
-2*(t + 7)*(t + 101)
Let t(x) be the third derivative of 5/132*x**4 + 31 + 0*x + 0*x**3 - 1/330*x**5 - 2*x**2. Suppose t(v) = 0. Calculate v.
0, 5
Suppose 7*h = 9*h + 4*t - 280, 0 = 4*h + 5*t - 551. Let u = -134 + h. What is z in -6/5*z**4 - 16/5*z**3 + u - 6/5*z**2 + 4/5*z = 0?
-2, -1, 0, 1/3
Let a(t) = 6*t + 27. Let i be a(-3). Suppose 4*c - 5*l = -i*l + 40, 6 = 2*l. Determine n so that -3*n + 242 + 