4/42 - 1100*u**3/21 + 244*u**2/7 - 2*u + 1923. Find r such that i(r) = 0.
2/7, 1, 122
Let p(m) = -21*m + m**3 + 28*m + 86 - 257*m**2 + 243*m**2 - 13*m. Let y be p(14). Suppose 0 + 2/9*q + 2/9*q**y = 0. What is q?
-1, 0
Let t(v) = 4*v**3 + v**2 + 2*v + 1. Let b(f) = -5*f**5 - 52*f**4 - 60*f**3 + 197*f**2 - 61*f - 59. Let r(o) = -b(o) - 5*t(o). Solve r(i) = 0 for i.
-9, -3, -2/5, 1
Let w(b) be the first derivative of -2*b**3/3 - 213*b**2 + 428*b - 852. Suppose w(q) = 0. Calculate q.
-214, 1
Let d(q) be the third derivative of -q**8/392 + 89*q**7/735 - 7*q**6/60 - 87*q**5/70 - q**4/21 + 116*q**3/21 - 2*q**2 + 1557*q + 1. Solve d(v) = 0 for v.
-1, 2/3, 2, 29
Suppose 0 = -53*g + 40 + 14 + 52. Let h(v) be the first derivative of 1/4*v**g + 0*v + 0*v**3 + 36 - 1/8*v**4. Suppose h(m) = 0. Calculate m.
-1, 0, 1
Let c(j) be the second derivative of 1/5*j**4 - 17 + 5/42*j**7 + 2/5*j**6 + 2*j + 23/50*j**5 + 0*j**2 + 1/30*j**3. Let c(l) = 0. Calculate l.
-1, -1/5, 0
Let k(j) = -145*j**2 - 65380*j - 16380060. Let f(h) = 11*h**2 + 5029*h + 1260005. Let i(q) = 40*f(q) + 3*k(q). Factor i(g).
5*(g + 502)**2
Let b be (2/(-11))/(5 - 24*42/198). Let t(g) be the second derivative of 0*g**b - 3/2*g**5 + 0*g**4 + 0*g**3 - 5/6*g**6 - 8*g - 5/42*g**7 + 0. Factor t(k).
-5*k**3*(k + 2)*(k + 3)
Let c(y) be the third derivative of 45 - 1/180*y**5 + 2/3*y**3 - y**2 + 1/18*y**4 + 0*y. Determine n, given that c(n) = 0.
-2, 6
Let v(i) be the first derivative of -3*i**4 + 2/5*i**5 + 42 + 0*i**2 + 6*i**3 + 0*i. Factor v(b).
2*b**2*(b - 3)**2
Let q(t) be the third derivative of t**5/30 + 25*t**4/6 - 160*t**2 - 6. Factor q(p).
2*p*(p + 50)
Let v(i) be the third derivative of 7/3*i**5 + 0 + 85/24*i**4 + 11/12*i**6 + 4/21*i**7 + 5/336*i**8 - 58*i + 10/3*i**3 - i**2. Factor v(l).
5*(l + 1)**4*(l + 4)
Suppose -232 = 25*s - 33*s. Factor 45*k**4 - 33*k**3 + 14*k**3 + 20*k**5 + s*k**3.
5*k**3*(k + 2)*(4*k + 1)
Let t(r) = -1956*r - 29336. Let a be t(-15). Factor -12/7*m - 4/7*m**a - 4/7*m**3 + 20/7*m**2 + 0.
-4*m*(m - 1)**2*(m + 3)/7
Let n be (21/(-14))/((-6)/(-1082)). Let w = -263 - n. Factor 10*g**2 - w*g - 5/2.
5*(g - 1)*(4*g + 1)/2
Find c such that -2/17*c**5 - 8/17*c**2 + 8/17*c**4 + 6/17*c + 0 - 4/17*c**3 = 0.
-1, 0, 1, 3
Suppose 27*y + 86*y + 543*y = 1968. Factor -2/7*m + 5/7*m**2 + 0 - 4/7*m**y + 1/7*m**4.
m*(m - 2)*(m - 1)**2/7
Suppose 170/3 - 1/3*b**2 + 29/3*b = 0. What is b?
-5, 34
Let o(q) be the second derivative of q**6/15 + 53*q**5/5 + 103*q**4/2 + 2746*q. Factor o(m).
2*m**2*(m + 3)*(m + 103)
Suppose 6 = -53*z + 400*z - 1035. Let x(f) be the second derivative of 0 + 0*f**2 - f - 1/8*f**4 - 1/4*f**z. Let x(a) = 0. What is a?
-1, 0
Factor -89/2*s - 357/8 + 1/8*s**2.
(s - 357)*(s + 1)/8
Let p(y) be the second derivative of -y**6/6 - 293*y**5/2 + 735*y**4 - 4415*y**3/3 + 2945*y**2/2 - 267*y + 3. Factor p(t).
-5*(t - 1)**3*(t + 589)
Let w be ((-1)/(6/9) + -1)/((-1515)/2424). Let j(r) be the first derivative of 3/8*r**2 - 3/16*r**w + 0*r**3 - 12 + 0*r. Suppose j(c) = 0. Calculate c.
-1, 0, 1
Let c(u) be the second derivative of -8 + 5*u - 1/6*u**4 - 729*u**2 + 18*u**3. Factor c(x).
-2*(x - 27)**2
Let t(s) be the second derivative of -s**5/150 + 13*s**4/30 - 16*s**3/5 + 28*s**2/3 - 2119*s. Factor t(u).
-2*(u - 35)*(u - 2)**2/15
Let g be (-117)/351*(-11 - -9). Factor -4/3*s**3 + 0*s**4 + g*s**2 + 1/3*s**5 + s - 2/3.
(s - 1)**3*(s + 1)*(s + 2)/3
Let j(a) be the first derivative of -138 + 0*a + 4/3*a**3 - 4*a**2. Factor j(o).
4*o*(o - 2)
Let p(w) be the first derivative of -w**4/66 + w**3/11 + 4*w**2/11 - 10*w + 24. Let k(l) be the first derivative of p(l). Factor k(y).
-2*(y - 4)*(y + 1)/11
Let y be (50/(-15) - -1)*(-8 + 2). Factor 24*s**2 - s**4 + 588*s**3 + 554*s**3 - 1196*s**3 - y*s**4.
-3*s**2*(s + 4)*(5*s - 2)
Let d(g) be the first derivative of g**6/21 - 32*g**5/7 - 6*g**4 + 68*g**3/3 + 403*g**2/7 + 324*g/7 - 836. Solve d(y) = 0 for y.
-1, 2, 81
Let 0 + 95256/5*o**2 + 2*o**4 + 1956/5*o**3 - 38416/5*o = 0. Calculate o.
-98, 0, 2/5
Let p = -9169 - -9171. Let i(b) be the first derivative of 499/20*b**4 + 121/30*b**6 - 4/5*b - 53/3*b**3 + 28/5*b**p - 407/25*b**5 + 16. Factor i(m).
(m - 1)**3*(11*m - 2)**2/5
Let t be 21/(-42)*(-1 + -5). Solve k**t - 7/3*k - 2 + k**2 - 1/3*k**4 = 0 for k.
-1, 2, 3
Suppose -11*i + 9*i - 11*i = 29*i - 168. Find d such that 75/2*d + 45/2*d**2 + 0 - 27/2*d**3 + 3/2*d**i = 0.
-1, 0, 5
Let -52/5*z**4 + 0 + 4608/5*z + 2/5*z**5 + 146/5*z**3 + 2496/5*z**2 = 0. Calculate z.
-3, 0, 16
Let s(q) be the first derivative of q**4/6 + 10*q**3/3 - 68*q**2 - 920*q/3 - 3442. Factor s(d).
2*(d - 10)*(d + 2)*(d + 23)/3
Suppose -71*q + 75*q + 2775 = 5*k, 4*k - 2*q - 2220 = 0. Factor -5*z - z + k*z**3 - 11*z**2 - 558*z**3.
-z*(z + 3)*(3*z + 2)
Let d(c) be the first derivative of 57*c**5/35 + 621*c**4/28 + 510*c**3/7 - 12*c**2 + 43. Solve d(g) = 0.
-7, -4, 0, 2/19
Suppose -468*o + 224 = -452*o. Let n be 16/o*455/390. Determine v, given that 5/3*v**4 + 0*v - 8/3*v**3 - 1/3*v**5 + n*v**2 + 0 = 0.
0, 1, 2
Let n(w) be the first derivative of -2/85*w**5 + 0*w**2 - 2/51*w**3 + 3 + 0*w - 1/17*w**4. Factor n(o).
-2*o**2*(o + 1)**2/17
Let x(y) = -y**3 + y**2 + 2*y + 53. Let c be x(4). Let k(h) be the first derivative of -10*h - c + 5*h**2 - 5/6*h**3. Factor k(s).
-5*(s - 2)**2/2
Let s be (47 - 2169/45)*(-80)/18. Solve s*p**2 + 4/3*p + 4/3*p**3 - 8 = 0.
-3, -2, 1
Let v(l) = 3*l - 23. Let y be v(9). Suppose 67*c + y*c**3 + 4*c**4 + 64*c - 119*c - 20*c**2 = 0. What is c?
-3, 0, 1
Suppose 0*y - 2*l = -y - 8, 26 = 3*y + 4*l. Suppose 5*w - 5 = 0, -y*k - 51*w + 55*w = 0. Solve -1/4*i**k - 4 - 2*i = 0.
-4
Let t(s) = 47*s**2 + 3*s - 543. Let b(c) = -32*c**2 + 542. Let y(l) = -3*b(l) - 2*t(l). Find z such that y(z) = 0.
-15, 18
Suppose -88*k + 14 = -81*k. Factor 70 + 24*u + u**2 - 5*u**k - 30 + 12*u.
-4*(u - 10)*(u + 1)
Let 4*f**4 - 36*f**4 + 8*f**5 - 13*f**4 - 3*f**5 + 0*f**3 - 15*f**3 + 90*f + 125*f**2 = 0. Calculate f.
-1, 0, 2, 9
Let u(g) = -25*g**3 + 200*g**2 + 231*g - 54. Let t be u(9). Factor 2/5*z**2 + 12/5*z + t - 2/5*z**3.
-2*z*(z - 3)*(z + 2)/5
Let a(z) be the third derivative of 7*z**2 - 12 + 0*z - 7/60*z**4 - 1/150*z**5 - 2/5*z**3. Factor a(s).
-2*(s + 1)*(s + 6)/5
Factor 45632*m + 1/3*m**4 - 368/3*m**3 + 33112/3*m**2 + 46128.
(m - 186)**2*(m + 2)**2/3
Let j(y) = 5*y**2 + 26*y + 16. Let n be j(-5). Let x(k) be the first derivative of -4*k**4 - 4/5*k**5 + 0*k - 12*k**2 + 44/3*k**3 + n. Factor x(q).
-4*q*(q - 1)**2*(q + 6)
Let t(x) be the first derivative of -x**2/2 + x + 74. Let p be t(-2). Factor -3/2*l**5 + 0*l**p + 3/4*l**2 + 0 + 0*l - 9/4*l**4.
-3*l**2*(l + 1)**2*(2*l - 1)/4
Let t(h) be the second derivative of h**5/90 + h**4/54 - h**3/27 - h**2/9 - 1039*h. Suppose t(m) = 0. Calculate m.
-1, 1
Let s(c) = 28*c**2 - 4765*c - 13. Let y(x) = -15*x**2 + 2403*x + 7. Let q(n) = 7*s(n) + 13*y(n). Let q(r) = 0. What is r?
0, 2116
Let t = 1343/982 + -426/491. Factor -t*u**3 - 4 - 1/6*u**4 + 3*u**2 - 2/3*u.
-(u - 2)**2*(u + 1)*(u + 6)/6
Determine v so that -23*v**4 + 3*v**4 + 4*v**2 + 18*v**4 - 2*v**2 + 5*v**3 - 5*v**5 = 0.
-1, -2/5, 0, 1
Let s(h) be the first derivative of -35937*h**2 + 1089*h**3 + 1185921/2*h - 84 + 1/10*h**5 - 33/2*h**4. Find c such that s(c) = 0.
33
Let r(q) = -16*q + 82. Let a be r(5). Let d(f) be the third derivative of 0*f + 1/64*f**4 + 1/96*f**5 + 18*f**a - 1/24*f**3 + 0. Factor d(b).
(b + 1)*(5*b - 2)/8
Factor 6627*p**2 + 7664*p - 90*p**3 + 5581*p - 94*p**3 + 6621 + 187*p**3.
3*(p + 1)**2*(p + 2207)
Suppose -2*o - 4*h + 412 - 416 = 0, -3*o - 5*h - 5 = 0. Determine d, given that -2*d**2 + 8/3*d + 1/3*d**3 + o = 0.
0, 2, 4
Let b(h) be the second derivative of -h**6/60 + 13*h**5/40 - 35*h**4/24 - 49*h**3/12 - 3*h + 18. Factor b(d).
-d*(d - 7)**2*(d + 1)/2
Let n(f) be the first derivative of -2*f**5/5 - 607*f**4/2 + 5236. Factor n(i).
-2*i**3*(i + 607)
Let a be ((259/(-42) + 8)*-7 + (-29)/(-87))*-5. Factor 5/2*z**2 + 1/2*z**3 - 25/2*z - a.
(z - 5)*(z + 5)**2/2
Let l(z) = -49*z**2 - 157*z - 134. Let q(p) = 23*p**2 + 79*p + 68. Let a(i) = 6*l(i) + 13*q(i). Determine c so that a(c) = 0.
-16, -1
Let l = 28 + -26. Factor -17*y - y**2 + 20*y**l - 17*y**2 + y.
2*y*(y - 8)
Let r(z) be the second derivative of -517*z**5/20 - z**4/6 - 2*z**3/3 - 3*z**2/2 + 15*z. Let a b