*c**2/7 + 5362*c. Find y, given that v(y) = 0.
1, 13, 18
Let z(q) be the second derivative of -q**7/56 + q**6/10 - 9*q**5/80 - 1914*q. Determine s, given that z(s) = 0.
0, 1, 3
Let q(y) = -578*y + 28. Let p be q(-2). Let c = 8308/7 - p. Determine r so that -16/7*r**2 - 8/7 + 4/7*r**3 + c*r = 0.
1, 2
Suppose 1088*h - 768 - 4/3*h**4 - 1072/3*h**2 + 116/3*h**3 = 0. Calculate h.
1, 4, 12
Let s(x) be the second derivative of x**7/378 - 11*x**6/270 - x**5/60 + 31*x**4/108 + 11*x**3/27 - 223*x. Find n such that s(n) = 0.
-1, 0, 2, 11
Let s be (8/(-14))/(-4 - ((-4257)/385 - -7)) - -12. Find i such that 2/9*i**3 - 22/9*i + 4/9*i**s - 8/3 = 0.
-4, -1, 3
Determine y, given that -1122 - 468*y + 797*y**2 - 108*y**3 - 64*y**2 + 645 - 875 + 4*y**4 + 39*y**2 = 0.
-1, 2, 13
Let t(a) be the third derivative of a**5/140 + 33*a**4/56 - 1407*a**2. Factor t(c).
3*c*(c + 33)/7
Suppose -4*q - 26*s = -22*s - 8, 16 = 4*s. Let f(a) = -a**3 - 49*a**2 + 45*a - 10. Let c(n) = 24*n**2 - 22*n + 4. Let u(d) = q*f(d) - 5*c(d). Factor u(v).
2*v*(v - 10)*(v - 1)
Let z be ((-808)/102 - -2)/((-272)/(-510)). Let b = z - -210/17. Suppose -b*s**2 + 3/4*s + 0 = 0. Calculate s.
0, 3/5
Suppose -23*n - 114 = -29*n. Determine j so that 33*j**2 + 27*j**4 - 59*j**4 - 90*j**3 + 81*j**2 - n*j**2 + 27*j**4 = 0.
-19, 0, 1
Let i(x) = 49*x**3 - 67*x**2 + 1435*x - 3681. Let h(z) = 106*z**3 - 133*z**2 + 2870*z - 7363. Let b(s) = -6*h(s) + 13*i(s). Factor b(d).
(d - 35)**2*(d - 3)
Let r(t) be the first derivative of 1/6*t**3 + 0*t + 39 + 5/4*t**2. Solve r(d) = 0.
-5, 0
Let z = -8 + 6. Let w be 1/z + 2/(4/5). Solve 4*a**3 - 2*a**3 - 10*a**2 - 3 + a**w + 9*a + a**3 = 0.
1
Let f = -30 + 26. Let d be ((-3549)/84)/(1/f). Factor -4*b**2 + 209 + 30*b + 9*b**2 - d.
5*(b + 2)*(b + 4)
Suppose 0 = 2*m + g + 3 - 8, 0 = 5*m - 5*g - 50. Factor 2*o**3 + 2*o**4 + 0*o**5 - o**m - 10*o**4 - 8*o - 23*o**3 - 2*o**2 - 20*o**2.
-o*(o + 1)**2*(o + 2)*(o + 4)
Let d(f) = 15*f**2 + 35*f + 6. Let z be d(9). Let u = 1536 - z. Factor -6/5*q**3 + 39/5*q**5 + 33/5*q**4 + u*q**2 + 0 + 0*q.
3*q**3*(q + 1)*(13*q - 2)/5
Let u(c) = -38*c**2 - 44*c - 144. Let k(y) = 7*y**2 + 9*y + 29. Let j = 358 + -342. Let h(q) = j*k(q) + 3*u(q). Factor h(l).
-2*(l - 8)*(l + 2)
Suppose 34*t - 5 = 33*t - z, 5*t + z - 21 = 0. Solve 432*c**3 + 2*c**5 - 384*c**3 + 20*c**2 - 9*c**t - 11*c**4 - 50*c = 0.
-1, 0, 1, 5
Let j be (34/46)/(90/(-30330)). Let k = -249 - j. Find b, given that -24/23*b - 22/23*b**2 + k*b**4 + 72/23 + 4/23*b**3 = 0.
-3, 2
Solve 92/3*y**2 + 20/9*y**3 + 784/9 + 96*y = 0 for y.
-49/5, -2
Let o(s) be the third derivative of -s**5/300 + 3*s**4/8 + 24*s**3/5 - 270*s**2. Factor o(p).
-(p - 48)*(p + 3)/5
Let s(c) be the second derivative of -c**4/54 - 92*c**3/27 + 485*c**2/9 - 3518*c. Factor s(n).
-2*(n - 5)*(n + 97)/9
Let x(d) = -d + 10. Suppose 6*i - 45 = -3. Let q be x(i). Let -3*l**2 - 43*l**q + 41*l**3 + l**2 = 0. What is l?
-1, 0
Let o(f) be the first derivative of 1/2340*f**6 - 23/2*f**2 + 0*f - 2/3*f**3 - 10 + 0*f**5 - 1/156*f**4. Let x(c) be the third derivative of o(c). Factor x(y).
2*(y - 1)*(y + 1)/13
Suppose 5*u = 8*u + 3. Let g(j) = -4*j - 2. Let c be g(u). Factor 135 + 40*k**2 - 64*k - 71*k + 5*k**c - 5*k**3.
-5*(k - 3)**3
Suppose 1940/3 - 1/3*q**2 - 383/3*q = 0. Calculate q.
-388, 5
Let p(g) = 2*g**3 - 33*g**2 - 16*g - 14. Let y be p(17). Solve 12*i - i**2 - 12 + 7*i**3 - 10*i**y + 3*i**2 + i**2 = 0 for i.
-2, 1, 2
Solve m**5 + 576*m**2 - 16*m**4 - 3*m**5 + 100*m**4 - 448*m**3 + 0*m**5 + 0*m**4 = 0.
0, 2, 4, 36
Let m(c) be the third derivative of -c**8/336 - 164*c**7/105 - 8199*c**2. Suppose m(d) = 0. What is d?
-328, 0
Let b be (-285)/36 - 27/(81/(-24)). Let h(s) be the first derivative of -1/4*s**2 + 18 + 2*s - b*s**3. Factor h(d).
-(d - 2)*(d + 4)/4
Let z(n) be the third derivative of 25*n**8/1512 + 187*n**7/63 + 17669*n**6/90 + 695267*n**5/135 + 518851*n**4/36 + 50653*n**3/3 + 2*n**2 + n. Factor z(k).
2*(k + 37)**3*(5*k + 3)**2/9
Let h(q) be the third derivative of q**5/160 - 135*q**4/4 + 72900*q**3 - 5*q**2 + 58*q. Find z such that h(z) = 0.
1080
Let p = -807 - -827. What is u in 286*u**2 - 64*u - 10*u + 189*u**2 - 125*u**3 - p*u - 720 - 26*u = 0?
-1, 12/5
Find b such that -808/5*b - 1497/5*b**2 - 108/5 + 28/5*b**3 = 0.
-2/7, -1/4, 54
Let b = 79226 - 235307/3. Let h = b + -790. Factor -h*r**2 + 0 + 1/3*r + 1/3*r**4 - 1/3*r**3.
r*(r - 1)**2*(r + 1)/3
Let s(l) be the third derivative of 0*l + 47*l**2 + 1/15*l**6 - 1/30*l**5 + 0*l**4 + 0*l**3 + 0. Solve s(c) = 0.
0, 1/4
Let t(f) be the second derivative of f**7/3 - 11*f**6/5 - 4*f**5 + 1579*f. Determine d, given that t(d) = 0.
-1, 0, 40/7
Suppose -f - 11 = -73. Suppose -65 = -b - f. Factor -3/2*w**2 - 3/4*w**b - 3/4*w + 0.
-3*w*(w + 1)**2/4
Let n(w) be the first derivative of -w**3/9 - 120*w**2 - 43200*w - 251. Factor n(y).
-(y + 360)**2/3
Let r = 811139 - 811136. Factor 3/2*l**4 + 15*l + 0 - 9*l**r + 9/2*l**2.
3*l*(l - 5)*(l - 2)*(l + 1)/2
Suppose 0 = -2*x - 21 + 13. Let n be (-1 - x/5) + (-32)/(-10). Find v such that -5 + 5 - n*v**2 + 12*v**2 + 20*v + 4 = 0.
-2, -2/9
Let t(m) be the second derivative of -m**4/78 + 18*m**3/13 - 368*m**2/13 + 10656*m. Factor t(y).
-2*(y - 46)*(y - 8)/13
Let j(c) be the third derivative of c**6/420 - 66*c**5/35 + 404*c**2 - 4. Factor j(r).
2*r**2*(r - 396)/7
Let m = 15577/70 - 1557/7. Let d(q) be the third derivative of 0*q - 3/8*q**4 + q**3 - m*q**5 + 0 + 33*q**2. Suppose d(i) = 0. What is i?
-2, 1/2
Let c be ((-24)/9)/((-20)/15). Let 3*p - 8*p + 142*p**c + 137*p**2 - 264*p**2 = 0. What is p?
0, 1/3
Let s(j) be the second derivative of 2 + 3/4*j**2 + 5/6*j**3 + 25*j + 7/24*j**4. Factor s(u).
(u + 1)*(7*u + 3)/2
Let x(u) = 24 - 2*u - 55 + 15 - u**2 + 17. Let n(f) = -40*f**3 - 50*f**2 + 65*f + 15. Let h(g) = n(g) - 5*x(g). Find d such that h(d) = 0.
-2, -1/8, 1
Factor 382*a**2 - 288*a**4 - 126*a**3 + 286*a**4 + 187*a**2 + 243*a**2 - 1104*a.
-2*a*(a - 4)*(a - 2)*(a + 69)
Let a(x) be the first derivative of 1/12*x**4 + 24 + 1/2*x**2 - 1/3*x - 1/3*x**3. Let a(t) = 0. Calculate t.
1
Let q(u) be the third derivative of -u**7/70 + 23*u**6/40 - 28*u**5/5 - 2606*u**2. Factor q(s).
-3*s**2*(s - 16)*(s - 7)
Let c(h) be the first derivative of -h**4/18 + 1130*h**3/27 - 26696*h**2/3 + 17672*h - 1899. Find q such that c(q) = 0.
1, 282
Let i(c) = 12*c**2 - c - 8. Let l be i(-3). Let p = -308/3 + l. Factor 0*k - k**2 + p*k**4 + 0 - 2/3*k**3.
k**2*(k - 3)*(k + 1)/3
Let m(v) be the second derivative of -v**4/48 - 93*v**3/8 - 139*v**2/4 + 55*v - 29. What is o in m(o) = 0?
-278, -1
Let d(x) = 32*x**3 + 4*x**2 - 88*x + 56. Let b(m) = -1 + 11*m**3 + m**2 - 29*m + m**2 + 20. Let r(k) = -8*b(k) + 3*d(k). Factor r(u).
4*(u - 2)*(u + 2)*(2*u - 1)
Let l(k) be the second derivative of -k**5/5 - 6*k**4 + 50*k**3/3 + 228*k**2 + 390*k + 3. Determine a so that l(a) = 0.
-19, -2, 3
Let b(h) = 17*h**3 - 139*h**2 - 486*h + 4560. Let j(r) = -11*r**3 + 91*r**2 + 324*r - 3039. Let n(y) = -5*b(y) - 8*j(y). Find d such that n(d) = 0.
-7, 6, 12
Let g = -1278683/92 + 13899. Let b = g + 3455/828. Suppose -128/9 - 128/9*f - 4/9*f**3 - b*f**2 = 0. Calculate f.
-4, -2
Let o(c) be the third derivative of -c**6/24 - c**5/4 - 5*c**4/8 - 5*c**3/6 + 1008*c**2. Let o(s) = 0. Calculate s.
-1
Suppose -8 = 9*w - 11*w. Factor 24*p - 2*p**5 - 15*p**3 + 14*p**4 - p**5 - 3*p**2 - 11*p**w - 12 + 6*p**5.
3*(p - 1)**3*(p + 2)**2
Suppose -2*z - 96 = -3*h - 6*z, 0 = h - 2*z - 22. Suppose -h = -5*r + 17. Factor -31*w + 8*w**2 + 43*w - 5*w**2 + r.
3*(w + 1)*(w + 3)
Let y(r) be the first derivative of 245 + 20/7*r + 3/7*r**2 - 2/21*r**3. What is l in y(l) = 0?
-2, 5
Determine u so that 29*u + 61*u - 3*u**2 - 336 + 69*u - 90*u = 0.
7, 16
Suppose -23*z = -11*z - 36. Suppose 5*g + 5*w + z = 6*g, 5*g - 15 = 4*w. Factor 24/11*t**2 - 6/11*t - 4/11 - 14/11*t**g.
-2*(t - 1)**2*(7*t + 2)/11
Suppose 225574*i = 225688*i. Factor i + 3/11*m**2 - 2/11*m - 1/11*m**3.
-m*(m - 2)*(m - 1)/11
Let i(a) be the first derivative of -a**4/4 + 47*a**3/3 + 100*a**2 + 204*a - 3615. Solve i(j) = 0 for j.
-2, 51
Let d(g) be the second derivative of g**4/72 - 6*g**3 + 215*g**2/12 - g + 891. What is f in d(f) = 0?
1, 215
Let x(l) be the first derivative of 142 - 1/33*l**3 + 12/11*l + 1/22*l**2. Determine s, given that x(s) = 0.
-3, 