/5*y**2 - 12/5*y**3. Factor c(u).
-2*(u - 5)*(18*u + 1)/5
Solve -1016/13*t**2 - 348/13*t**3 - 912/13*t - 256/13 - 18/13*t**4 = 0 for t.
-16, -2, -2/3
Let p(d) be the first derivative of d**6/3 + 8*d**5/5 + 3*d**4/2 - 1135. Determine o so that p(o) = 0.
-3, -1, 0
Let c be (3/15)/((-21)/(-420)). Let f(q) be the third derivative of -1/4*q**c - 1/60*q**6 + 0*q + 3*q**3 + 0 - 1/6*q**5 - 13*q**2. Factor f(l).
-2*(l - 1)*(l + 3)**2
Let o(v) be the first derivative of -v**4/4 + 7*v**3/3 - 3*v**2/2 - 20*v - 13. Let s be o(5). Find r, given that -3*r**2 + 5*r - r + s + 9*r - r = 0.
-1, 5
Let u(b) = 16*b**3 - 122*b**2 + 160*b - 64. Let q(h) = -11*h**3 + 81*h**2 - 107*h + 43. Suppose 25 = 6*l - l. Let g(v) = l*u(v) + 8*q(v). Factor g(o).
-2*(o - 2)**2*(4*o - 3)
Let d(c) be the second derivative of -c**5/5 - 5*c**4/3 + 122*c**3/3 - 110*c**2 - 1259*c. Let d(f) = 0. Calculate f.
-11, 1, 5
Let b(u) be the third derivative of u**5/270 - 5*u**4/4 + 266*u**3/27 + 934*u**2. Factor b(j).
2*(j - 133)*(j - 2)/9
Let a(k) = -8*k**2 + 86*k + 66. Let u(m) = -3*m**2 + 29*m + 22. Let g = -56 - -51. Let f(r) = g*a(r) + 14*u(r). Factor f(p).
-2*(p + 1)*(p + 11)
Let u be 96/15 - (-34)/(-85). Let d be 7/((-147)/u)*6/(-4). Find s, given that 0*s**2 + 0*s**4 - 6/7*s**3 + 3/7*s**5 + d*s + 0 = 0.
-1, 0, 1
Let q(j) be the second derivative of j**6/210 + 17*j**5/70 - 115*j**4/84 - 74*j**3/21 - 1066*j. Suppose q(t) = 0. Calculate t.
-37, -1, 0, 4
Let c(d) be the third derivative of 3*d**6/140 + 37*d**5/210 + 47*d**4/84 + 19*d**3/21 + 1656*d**2. Let c(z) = 0. What is z?
-19/9, -1
Let a be ((-9)/(540/(-24)) - (-2)/(-5))/(-2). Let o(w) be the first derivative of a*w - 6 - 9/14*w**2 + 4/7*w**3 - 3/28*w**4. Solve o(g) = 0.
0, 1, 3
Let i(z) be the second derivative of 0 - 1/3*z**4 - 45*z + 0*z**3 + 0*z**2 + 1/5*z**5. Suppose i(m) = 0. Calculate m.
0, 1
Determine g, given that 9048064/3 - 12028/3*g**2 - 4/3*g**3 - 9036032/3*g = 0.
-1504, 1
Let n(o) = 15*o**4 + 351*o**3 - 149*o**2 + 31*o. Let w(i) = 44*i**4 + 1031*i**3 - 447*i**2 + 92*i. Let d(f) = 17*n(f) - 6*w(f). Factor d(j).
-j*(j + 25)*(3*j - 1)**2
Suppose 36 = 41*x - 23*x. Factor 90 + 1 + 1 - 3*k**x + 24*k - 32.
-3*(k - 10)*(k + 2)
Let m(d) = 6*d**4 + d**3 - 36*d**2 - 41*d - 15. Let v(l) = -5*l**4 - l**3 + 33*l**2 + 41*l + 16. Let u(z) = -4*m(z) - 5*v(z). Factor u(i).
(i - 5)*(i + 1)**2*(i + 4)
Factor 1/4*c**2 + 0 + 27*c.
c*(c + 108)/4
Let d(r) = 21. Let o(y) = 0 + 3 - 2 + 3. Let u(j) = 2*d(j) - 11*o(j). Let k(w) = w**2 - 1. Let v(m) = 2*k(m) - u(m). Suppose v(x) = 0. What is x?
0
Suppose -11*y = -y - 20. Suppose 6 = -2*l, -y*k = -0*l - 4*l - 16. Factor -14/3*c**3 - 8/3*c**k + 0*c - 4/3*c**4 + 0 + 2/3*c**5.
2*c**2*(c - 4)*(c + 1)**2/3
Let t(p) be the first derivative of -4*p**3/3 - 108*p**2 + 220*p - 4418. Factor t(w).
-4*(w - 1)*(w + 55)
Let i be 3 + (-39 - (-2349)/58). Let -63/4*q**3 - 3/4*q**5 - 57/4*q**2 - i*q + 0 - 27/4*q**4 = 0. What is q?
-6, -1, 0
Let v(o) be the third derivative of 38*o**2 + 1/96*o**4 + 0 + 0*o + 1/240*o**5 + 0*o**3. Determine d, given that v(d) = 0.
-1, 0
Let r = 1314 + -1304. Let o(c) = -c**3 + 4*c**2 + 2*c - 6. Let j be o(4). Solve -j*q**4 + 8*q - r*q**2 + 6*q**4 - 2*q**2 = 0.
-2, 0, 1
Let y(m) be the second derivative of 0 + 35*m + 115/12*m**4 + 100*m**3 - 360*m**2 + 1/4*m**5. Find i, given that y(i) = 0.
-12, 1
Let g be 18*(292/(-30)*10*14/(-168) - 8). Determine a, given that 2/3*a**3 + 4/3*a + 0 - 2*a**g = 0.
0, 1, 2
Let p = 126 + -124. Factor 5*u - 2*u + u**3 + 39842*u**2 - 39838*u**p.
u*(u + 1)*(u + 3)
Let i(y) be the second derivative of -343/5*y**2 - 3*y - 7/10*y**4 + 6 - 1/50*y**5 - 49/5*y**3. Let i(z) = 0. What is z?
-7
Suppose 0 = 133*m - 898*m + 3060. Solve 9/2*w**3 + 0*w + 9*w**m - w**2 + 0 = 0 for w.
-2/3, 0, 1/6
Let a = 324 + -309. Factor -a + 37 - 8*i - i**2 - 22.
-i*(i + 8)
Let g(l) = 15*l + 135. Let s be g(-10). Let p be 2/(-70)*s*1. Solve p*j**2 + 2/7*j + 1/7*j**3 + 0 = 0 for j.
-2, -1, 0
Factor -65 + 30*b - 1042*b**2 + 1040*b**2 - 23.
-2*(b - 11)*(b - 4)
Suppose 4*v + 3*h + 21 = 0, 34*v - 29*v + 40 = -5*h. Factor -9/5 + 2/5*i**v + 1/5*i**4 - 18/5*i - 8/5*i**2.
(i - 3)*(i + 1)**2*(i + 3)/5
Let u(j) be the first derivative of -j**4/4 - 614*j**3 + 3690*j**2 - 7384*j - 4417. Factor u(r).
-(r - 2)**2*(r + 1846)
Let h(d) be the first derivative of -2*d**4 + 11*d**3/5 - 9*d**2/10 + 76*d - 56. Let y(g) be the first derivative of h(g). Factor y(f).
-3*(4*f - 1)*(10*f - 3)/5
Let s(n) be the first derivative of -2*n**3/21 + 167*n**2/7 + 48*n + 21. Factor s(z).
-2*(z - 168)*(z + 1)/7
Suppose 4*g + r = 11, 3*g - 3*r + 2 = 14. Solve -86 - 432*j + 6264*j**g + 2452*j**2 - 84 + 3364*j**4 + 186 = 0.
-1, 2/29
Let s = 1/11537 - -57682/34611. Let j be (-5)/((-5)/(-3)) - -5. Factor 2/3 - s*l - l**j.
-(l + 2)*(3*l - 1)/3
Let c be (-3 - -3)*((-3)/(-7) + (-2717)/4004). Factor -2/7*g**3 + 0*g**2 + c + 2/7*g.
-2*g*(g - 1)*(g + 1)/7
Let v be (-604)/168 - (-975)/234. Determine r so that -8/7*r**4 - v*r**5 - 4/7*r + 16/7*r**2 - 8/7 + 8/7*r**3 = 0.
-2, -1, 1
Factor -6441*m + 2295 - 15*m**3 + 7191*m**2 + 679*m**2 + 20208*m + 3587*m**2.
-3*(m - 765)*(m + 1)*(5*m + 1)
Let y = 211 + -209. Solve -6*h**2 + 20*h**3 + 2*h**y + 20*h**3 - 44*h**3 = 0.
-1, 0
Let p = 4 - 7. Suppose -8*m + 142 = -178. Let r(j) = -2*j**2 + 22*j + 33. Let g(y) = -25*y**2 + 285*y + 430. Let k(w) = m*r(w) + p*g(w). Factor k(u).
-5*(u - 6)*(u + 1)
Let v(m) be the third derivative of m**5/20 + 47*m**4/8 + 86*m**3 + m**2 - 781*m - 4. Factor v(g).
3*(g + 4)*(g + 43)
Let q(i) = -i**2 - 17*i. Let y(a) = -4*a**2 - 244*a - 412. Let m(k) = 2*q(k) - y(k). Factor m(l).
2*(l + 2)*(l + 103)
Factor -22/9*j**2 - 4/9 - 50/9*j + 8/3*j**3.
2*(j - 2)*(j + 1)*(12*j + 1)/9
Factor 1 + 5*c**4 + 491*c**2 + 1000*c - 306*c**2 - 1 + 170*c**3 + 980*c**2.
5*c*(c + 1)*(c + 8)*(c + 25)
Let n(x) be the second derivative of 4*x + 20/27*x**3 - 7 + 1/27*x**4 + 2*x**2. Factor n(z).
4*(z + 1)*(z + 9)/9
Find q, given that -1603*q**2 + 561*q + 3204*q**2 - 1604*q**2 - 558 = 0.
1, 186
What is p in -7*p**2 + 50*p - 259*p - 7*p**3 - 108*p - 86*p**2 - 45*p**2 + 102 = 0?
-17, -3, 2/7
Let c(w) be the third derivative of 0 - 6/5*w**6 + 9/35*w**7 + 0*w - 16/3*w**3 + 9/56*w**8 - 27*w**2 - 68/15*w**5 - 20/3*w**4. Find h, given that c(h) = 0.
-1, -2/3, 2
Let x(c) = 2*c**2 - 63*c + 471. Let d be x(12). Let q(s) be the first derivative of -21/4*s**4 + 9/2*s**2 - 6 + 0*s + 4*s**d. Determine v, given that q(v) = 0.
-3/7, 0, 1
Let q(x) be the second derivative of -x**7/105 + x**6/20 - x**5/15 + 35*x**2/2 - 240*x. Let t(c) be the first derivative of q(c). Let t(i) = 0. What is i?
0, 1, 2
Let h = 22 - 22. Let i = 33687/4 - 8421. Solve 1/4*m**3 + 3/4*m**4 + h - 1/2*m + 1/4*m**5 - i*m**2 = 0.
-2, -1, 0, 1
Let x(s) be the first derivative of -s**5/5 + 6*s**4 - 39*s**3 - 169*s**2 + 1010. What is f in x(f) = 0?
-2, 0, 13
Solve 82 + 165*z - 294*z - 1588*z**2 - 671*z - 86 - 792*z**3 = 0.
-1, -1/198
Suppose 0 = 43*k - 90 - 39. What is o in -10*o**4 + 10656 + 35*o**k - 20*o**2 - 5*o**5 - 10656 = 0?
-4, 0, 1
Suppose 357*v = 358*v - 115. Let c = -113 + v. Let -6/11*g + 4/11 + 2/11*g**c = 0. Calculate g.
1, 2
Suppose -5*h = -1876 - 559. Let j = -487 + h. Factor 2/5*m**3 - 2/5*m**2 + j + 2/5*m**4 - 2/5*m.
2*m*(m - 1)*(m + 1)**2/5
Let v be 14/(-8)*(-32)/420. Let b = -193/15 + 13. Determine p, given that -2/15*p - v*p**2 + b + 2/15*p**3 = 0.
-1, 1
Let g = -187 + 438. Factor 11*b**4 - 3*b**5 - 38*b**4 + 66*b**3 + 251*b - g*b.
-3*b**3*(b - 2)*(b + 11)
Let l(a) be the third derivative of a**5/120 - 15*a**4/8 + 44*a**3/3 - 120*a**2 + 3. Factor l(x).
(x - 88)*(x - 2)/2
What is n in 3/2*n**4 - 64680*n + 296352 + 4662*n**2 - 279/2*n**3 = 0?
9, 28
Let j(w) = 2*w**2 + 8*w + 11. Let l be j(-4). Suppose -5 + 17 = 2*a + 3*c, -4*a = 4*c - 20. Factor 0*k**2 + a*k - 2*k**2 - l*k - 4*k + 2*k**3.
2*k*(k - 3)*(k + 2)
Let m(x) = 4*x**3 - 10*x**2 - 96*x - 110. Let t(z) = z**2 + 1. Let d(n) = m(n) - 2*t(n). Factor d(a).
4*(a - 7)*(a + 2)**2
Let k(n) be the third derivative of n**2 - 5/12*n**4 - 1/30*n**5 + 0 - 21*n + 12*n**3. What is c in k(c) = 0?
-9, 4
Let y(i) = -15*i**2 - 149*i + 1160. Let w(c) = -5*c**2 - 49*c + 385. Let r(a) = 8*w(a) - 3*y(a). Suppose r(d) = 0. What is d?
-16, 5
Suppose 4*g = 3*s + 4, 3*g = 8 + 4. Let c be s - 4/1 -