f i**6/780 - 83*i**5/39 + 3296*i**4/3 + 26624*i**3/3 - 8829*i**2. Determine r, given that b(r) = 0.
-2, 416
Find q such that -1/5*q**2 + 8/5 + 7/5*q = 0.
-1, 8
Factor -14415/4*c + 5735/4*c**2 + 0 - 325/4*c**3 + 5/4*c**4.
5*c*(c - 31)**2*(c - 3)/4
Let -12/7*o**2 - 333/7 + 1335/7*o = 0. What is o?
1/4, 111
Let c(r) be the first derivative of -r**4/4 - 19*r**3 + 121*r**2/2 + 177*r - 1842. Determine q, given that c(q) = 0.
-59, -1, 3
Let y(n) = 52*n**3 - 264*n**2 - 274*n + 44. Let i(u) = 260*u**3 - 1318*u**2 - 1371*u + 218. Let x(z) = 2*i(z) - 11*y(z). Suppose x(p) = 0. What is p?
-1, 2/13, 6
Let z(d) = -9*d**3 + d - 1. Let q(p) = -48*p**3 + 9*p**2 + 35*p - 5. Let s(k) = -q(k) + 5*z(k). Suppose s(v) = 0. Calculate v.
-2, 0, 5
Factor 2/9*x**2 + 837218 - 2588/3*x.
2*(x - 1941)**2/9
Let z(m) be the second derivative of 2/11*m**4 + 1/165*m**6 + 3/11*m**2 + 0 - 3/55*m**5 - 156*m - 10/33*m**3. Factor z(l).
2*(l - 3)*(l - 1)**3/11
Factor 2086 + 159*r**2 - 3*r**3 - 7*r + 334*r - 1921.
-3*(r - 55)*(r + 1)**2
Determine o, given that -662*o**2 + 1222*o**2 + 135 - 87*o - o**3 - 607*o**2 = 0.
-45, -3, 1
Let v(n) be the first derivative of 90*n**3 + 4050*n**2 + 187 + 81000*n + 3/4*n**4. Let v(r) = 0. What is r?
-30
Let b(t) be the first derivative of 8*t**3/3 + 39*t**2 - 20*t - 1396. Solve b(q) = 0 for q.
-10, 1/4
Let i(q) be the third derivative of 0*q**3 - 1/3*q**5 + 0*q**4 + 0 - 55*q - 2*q**2 - 1/120*q**6. Determine s so that i(s) = 0.
-20, 0
Let y(i) be the third derivative of i**7/630 + 11*i**6/360 - 13*i**5/60 + 41*i**4/72 - 7*i**3/9 + 2*i**2 - 414. Solve y(u) = 0 for u.
-14, 1
Solve 431*t - 207*t + 167*t**2 - 163*t**2 + 832 = 0.
-52, -4
Let x(g) = 11*g**5 - 23*g**4 - 15*g**3 + 8*g**2 + 19*g - 15. Let y(n) = 5*n**5 - 11*n**4 - 7*n**3 + 4*n**2 + 9*n - 7. Let f(r) = -7*x(r) + 15*y(r). Factor f(v).
-2*v*(v - 1)*(v + 1)**3
Let m(c) be the third derivative of -c**7/315 + 11*c**6/90 - 2*c**5/5 - 22*c**4/9 + 160*c**3/9 - 877*c**2. Let m(g) = 0. What is g?
-2, 2, 20
Factor 1100*h**3 + 2705*h - 5440*h**2 - 6 + 16 + 684*h**3 + 941*h**3.
5*(h - 1)**2*(545*h + 2)
Let t be 1646152/20 + 2/5. Let -29*c**4 + t*c + 3019*c**2 + 390963 + 4065*c**2 - 586*c**2 + 228*c**3 + 32*c**4 = 0. What is c?
-19
Let o(c) be the second derivative of -35*c**4/12 + 5895*c**3/2 - 2525*c**2 - 2179*c. Factor o(r).
-5*(r - 505)*(7*r - 2)
Let o(b) be the second derivative of 143 - 2/9*b**3 + 1/60*b**5 - 1/3*b**2 - b + 1/180*b**6 - 1/24*b**4. Factor o(j).
(j - 2)*(j + 1)**2*(j + 2)/6
Let g(z) be the second derivative of -z**6/6 - z**5 + 5*z**4/2 + 10*z**3/3 - 25*z**2/2 - 2*z + 536. What is l in g(l) = 0?
-5, -1, 1
Let d(l) be the first derivative of l**2 + 2/3*l**3 - 4*l + 85. Let d(v) = 0. What is v?
-2, 1
Let t(u) be the first derivative of 56*u**3/3 - 259*u**2 + 2628*u + 52. Let w(a) = 5*a**2 - 47*a + 239. Let q(s) = 6*t(s) - 68*w(s). Factor q(m).
-4*(m - 11)**2
Let g(l) = l**3 - 11*l**2 + 31*l - 7. Let w be g(7). Factor -9*f**3 - 7*f**5 + w*f**2 - 11*f**3 - 2*f**2 + 11*f**5 + 4*f**4.
4*f**2*(f - 1)**2*(f + 3)
Let y be (-2 - 3283/35)*(-15)/414. Let m = y - 76/23. Determine g, given that 1/3 + m*g**4 - 5/6*g**3 - 7/6*g + 3/2*g**2 = 0.
1, 2
Suppose -84*a - 96*a + 22*a = -238 - 78. Factor -2/9*s**3 + 0 + 16/9*s - 4/9*s**a.
-2*s*(s - 2)*(s + 4)/9
Let t(c) = c**2 - 29*c + 109. Let d be t(4). Let b be d + -14 + 144/15 + -3. Determine l so that b + 4/5*l - 1/5*l**3 - 2/5*l**2 = 0.
-2, 2
Let x = -45 + 47. Let 9*n + 33*n**3 - 6*n**x - 22*n + 13*n = 0. Calculate n.
0, 2/11
Let p(t) = -17*t**3 + 38*t**2 + 83*t + 44. Let w(s) = -4*s**3 + s + 1. Let y(a) = -p(a) + 4*w(a). Find u, given that y(u) = 0.
-1, 40
Let n(r) be the third derivative of r**7/1890 + 7*r**6/216 - 151*r**5/540 + 193*r**4/216 - 13*r**3/9 - 1905*r**2. Determine m so that n(m) = 0.
-39, 1, 2
Factor 2/17*b**4 - 52/17*b**2 + 0*b + 0 - 22/17*b**3.
2*b**2*(b - 13)*(b + 2)/17
Let r(i) = -2*i**3 - 12*i**2 - i - 4. Suppose 0 = 11*k - 26*k - 90. Let j be r(k). Determine v so that -6/5*v**j + 14/5*v - 8/5 = 0.
1, 4/3
Find r, given that 398/7*r + 2/7*r**3 - 510/7 + 110/7*r**2 = 0.
-51, -5, 1
Let t(c) = -5*c**4 + 23*c**3 + 153*c**2 - 328*c + 172. Let q(s) = -5*s**4 + 24*s**3 + 154*s**2 - 324*s + 171. Let b(k) = 3*q(k) - 4*t(k). What is l in b(l) = 0?
-5, 1, 7
Determine g, given that 28*g**3 - 117 - 17*g**3 - 33*g**2 + 165*g - 18*g**2 - 8*g**3 = 0.
1, 3, 13
Determine u, given that 27/2*u**2 + 1/2*u**5 + 18*u + 0 - 13/2*u**3 - 3/2*u**4 = 0.
-3, -1, 0, 3, 4
Factor -88 - 154 + 307 + 646 + 353 - 1322*v + 256*v**2 + 2*v**3.
2*(v - 4)*(v - 1)*(v + 133)
Let w = 96990 - 1260868/13. Determine k, given that -10/13*k + w*k**2 + 8/13 = 0.
1, 4
Let a(u) = 2*u**2 + 20*u + 10. Let q be a(-10). Factor t**2 + q*t + 16 - 19*t + 17*t.
(t + 4)**2
Suppose 249 = -20*l + 349. Let y(a) be the first derivative of -2*a**3 - 8*a - 6*a**2 - 1/4*a**4 + l. Suppose y(f) = 0. What is f?
-2
Let o be ((-4)/15 - (-4)/(-10))*-3. Factor -4*a**3 - 40*a**2 - 41*a - 5*a + 11*a**o - 12 - 9*a.
-(a + 3)*(a + 4)*(4*a + 1)
Let k(r) be the second derivative of -14 + 4*r - 1/6*r**4 + 4*r**2 + 0*r**3. Factor k(w).
-2*(w - 2)*(w + 2)
Let n be 242 + 2*-4*(-16)/(-32). Let i be n/26 + 10/(-65). Determine r so that 73/4*r**3 - 3/4*r - 1/2 + i*r**4 + 9*r**2 = 0.
-1, -1/4, 2/9
Let m be ((-48)/(-840))/(1 + 50/(-56)). Let l(a) be the second derivative of 0 + 1/50*a**5 + 4/5*a**2 + 1/6*a**4 + m*a**3 + 15*a. Solve l(g) = 0.
-2, -1
Suppose 4*a + 79 = 13*b, -2*b - 3*a - 293 = -269. Factor -16/5*x + 8/5 + 2/5*x**2 + 6/5*x**b.
2*(x - 1)*(x + 2)*(3*x - 2)/5
Let i be (4/(-18))/((-79)/43371). Suppose 107*p = i*p - 30. Factor -2/7 - 16/7*x - 32/7*x**p.
-2*(4*x + 1)**2/7
Suppose 12*a + 93 = 1053. Let f = a + -54. Determine d so that -75*d**2 - 57*d**3 - 12 - 61*d**4 - 3*d**5 + 40*d**4 - 22*d - f*d = 0.
-2, -1
Factor 1130/9 + 376/3*s - 2/9*s**2.
-2*(s - 565)*(s + 1)/9
Let i(m) = -7*m**5 - 5*m**3 - 6*m**2 + 6*m. Let j(b) = b**5 + b**3 + b**2 - b. Let n = 23 + -22. Let v(o) = n*i(o) + 6*j(o). Find x such that v(x) = 0.
-1, 0, 1
Let r(i) be the first derivative of -i**7/2520 - 14*i**6/135 - 392*i**5/45 + 55*i**3/3 + 27. Let d(s) be the third derivative of r(s). Factor d(p).
-p*(p + 56)**2/3
Let x = -62082/17 - -772373/187. Let k = 479 - x. Factor 24/11 - 18/11*q**2 + 0*q + k*q**3.
6*(q - 2)**2*(q + 1)/11
Suppose 2/3*j**2 - 38/3*j - 28 = 0. Calculate j.
-2, 21
Let k(w) = -w**2. Let y(h) = h**2 + 0*h**2 + 21*h + h**2 - 18*h - 6. Let d(v) = k(v) - y(v). What is i in d(i) = 0?
-2, 1
Let l(u) be the second derivative of -u**4/18 + 422*u**3 - 1202067*u**2 - 2887*u. Factor l(b).
-2*(b - 1899)**2/3
Let d be ((-55)/33)/((-1225)/150 + 4). Find u, given that 6/5*u**2 - 18/5*u + d*u**3 - 54/5 = 0.
-3, 3
Factor 446 - 146 - 78*t**2 + 13308*t**3 - 13317*t**3 - 105*t.
-3*(t + 5)**2*(3*t - 4)
Let a be 140/(-42)*(-1 + (-15)/(-6)). Let v be a*(-4 - (-15)/5). Factor -8 + v*q**4 + 15*q - 2 + 11*q**2 - 6*q**2 - 15*q**3.
5*(q - 2)*(q - 1)**2*(q + 1)
Let a(i) = -i**2 + 10*i - 4. Let y be a(9). Let q = 21 - 18. Determine v so that y*v**3 - 2*v - v**3 - 2*v**q = 0.
-1, 0, 1
Solve -2 - 7*j**5 - 34 + 77*j + 128*j**3 + 109*j**2 - 257*j + 47*j**4 - 300*j**2 - 121*j**3 = 0.
-1, -2/7, 3, 6
Let k(x) = -x**5 - 7*x**3 + x - 1. Let j(n) = -5*n**5 + 5*n**4 - 53*n**3 - 33*n**2 - 12*n - 6. Let b(z) = -j(z) + 6*k(z). Factor b(g).
-g*(g - 3)*(g + 1)**2*(g + 6)
Let o(w) = -20*w**4 + 44*w**3 + 121*w**2 + 84*w - 3. Let c(j) = 32*j**4 - 88*j**3 - 243*j**2 - 168*j + 5. Let s(n) = 3*c(n) + 5*o(n). Let s(q) = 0. What is q?
-7, -3, -1, 0
Let s(d) be the third derivative of d**6/40 - 8*d**5 + 78*d**4 + 15583*d**2. Factor s(u).
3*u*(u - 156)*(u - 4)
Let v(i) be the first derivative of i**9/15120 - i**8/2100 + i**7/1400 + 13*i**3/3 + 8. Let o(z) be the third derivative of v(z). Suppose o(c) = 0. What is c?
0, 1, 3
Let y(q) be the first derivative of 2*q**5/35 + q**4/7 - 8*q**3 + 158*q**2/7 - 22*q + 2161. Determine m, given that y(m) = 0.
-11, 1, 7
Let p = -109 + 103. Let q be (0/(-12 - p))/1. What is w in 12/7*w**3 + 4/7*w**5 + 0*w + 4/7*w**2 + 12/7*w**4 + q = 0?
-1, 0
Determine d, given that 152/3*d + 3610/3 - 2/3*d**2 = 0.
-19, 95
Factor 81/2 + 45/4*x - 3/4*x**2.
-3*(x - 18)*(x + 3)/4
Factor -28*a + 288 - 20/3*a**2.
-4*(a + 9)*(5*a - 24)/3
Let w be ((-16082)/(-476) 