-4*a, 38 = 4*t - t - a. Suppose u = 5*u - t. Let -5*v**u + v**3 + 16*v**2 + 0*v**3 - 16*v = 0. Calculate v.
0, 2
Let i(d) be the third derivative of d**7/735 + 13*d**6/210 - 11*d**5/42 + d**4/3 + 3*d**2 - d + 276. Factor i(o).
2*o*(o - 1)**2*(o + 28)/7
Let d = 225273/318631 - 21/18743. Factor -2/17 + d*j - 10/17*j**2.
-2*(j - 1)*(5*j - 1)/17
Let f(w) = 6*w**2 + 2*w + 16. Let i(l) = l**2 + 1. Let u(c) = f(c) - 4*i(c). Let o be u(4). What is y in -56*y**2 + o*y**2 - 31 - 69 + 40*y = 0?
5
Let d(v) be the third derivative of 31*v**2 + 1/24*v**4 + 0 + 1/360*v**6 + 0*v + 1/36*v**5 - 1/2*v**3. What is q in d(q) = 0?
-3, 1
Let u(y) be the third derivative of y**8/224 + y**7/35 - y**6/10 - 4*y**5/5 + y**4 + 16*y**3 - 58*y**2. Suppose u(f) = 0. Calculate f.
-4, -2, 2
Let h(v) = v**3 - 36*v**2 + 70*v - 46. Let r be h(34). Suppose 7*n + 4*n - r = 0. Factor -2/11*y**3 + 0 + 0*y**n + 2/11*y.
-2*y*(y - 1)*(y + 1)/11
Let x(g) = -2*g. Let p(a) = 2*a**2 - 4*a - 1. Let t be p(2). Let h be x(t). Suppose -d + 3*d - 33*d**h + 32*d**2 + 3 = 0. Calculate d.
-1, 3
Let l(x) be the third derivative of -x**6/360 + 19*x**5/20 + 43*x**4/18 + 135*x**2 + 3. Factor l(t).
-t*(t - 172)*(t + 1)/3
Let v be (55/(-5) + 11)/(14/((-56)/20)). Factor v + 2/5*c**2 - 8/5*c.
2*c*(c - 4)/5
Let p(z) be the second derivative of 3*z**5/10 + 2*z**4/3 - 5*z**3/3 - 2*z**2 - 2431*z. Find t, given that p(t) = 0.
-2, -1/3, 1
Suppose 0 = -5*o + b + 17, 3857*b = 4*o + 3860*b - 63. Determine g so that -123/8*g**2 - o*g + 27/8*g**3 + 9/2 - 15/8*g**5 + 51/8*g**4 = 0.
-1, 2/5, 2, 3
Let w(t) = 16*t**2 - 8. Let p be (-138)/36 + 1*3/(-18). Let q(s) = 17*s**2 + s - 8. Let x(v) = p*q(v) + 5*w(v). Factor x(g).
4*(g - 1)*(3*g + 2)
Suppose 3*u - 88 + 60 = -2*q, -5*q - 4*u = -42. Factor 0 + 2*o + 16/3*o**q + 0*o**4 + 4*o**3 - 2/3*o**5.
-2*o*(o - 3)*(o + 1)**3/3
Let y(t) be the first derivative of -3/4*t**3 - 15/8*t**2 - 1/16*t**4 - 7/4*t + 102. Let y(b) = 0. Calculate b.
-7, -1
Let w = -212811 + 212814. What is y in 0*y + 0*y**w - 2/11*y**4 + 2/11*y**5 + 0 + 0*y**2 = 0?
0, 1
Let g be 10/150*-25*(-2 - 3). Determine y, given that -80/3*y - 95/3*y**2 - g*y**3 + 20/3 = 0.
-2, 1/5
Let x(k) be the first derivative of -k**3/21 - 248*k**2/7 - 495*k/7 - 3172. What is n in x(n) = 0?
-495, -1
Factor -9/2*u**3 - 1/2*u**4 + 53/2*u + 15 + 15/2*u**2.
-(u - 3)*(u + 1)**2*(u + 10)/2
Find z, given that -8/11*z + 4/11*z**3 - 6/11*z**2 + 2/11*z**4 + 8/11 = 0.
-2, 1
Let n(c) = c**2 + c + 1. Let y = 43 + -40. Let j(q) = -9*q - 4 + 6*q + y + q**3. Let z(i) = -j(i) - n(i). Factor z(h).
-h*(h - 1)*(h + 2)
Let q = 824188 - 2472520/3. Suppose q*v**2 - 4/9 + 82/9*v = 0. Calculate v.
-2/3, 1/22
Suppose -743*b + 1025 = 624 - 1085. Let m = 1081/2 + -529. Factor b*r**2 - 3 - m*r.
(r - 6)*(4*r + 1)/2
Let w(m) be the first derivative of -1/5*m**5 + m**4 - 64*m - 16*m**2 + 33 + 4*m**3. Factor w(k).
-(k - 4)**2*(k + 2)**2
Factor -4828/9*o**2 - 162140*o - 161604 - 4/9*o**3.
-4*(o + 1)*(o + 603)**2/9
What is k in 2/9*k**3 - 10/9*k**2 - 32 - 16*k = 0?
-4, -3, 12
Let d(s) be the third derivative of s**7/1890 - 379*s**6/1080 + 1786*s**5/27 + 9025*s**4/54 + 11531*s**2. Factor d(b).
b*(b - 190)**2*(b + 1)/9
Let y(p) be the second derivative of 1/45*p**6 + 103/12*p**4 - 53/60*p**5 + 280/9*p**3 + 2 + 98/3*p**2 + 17*p. Let y(g) = 0. Calculate g.
-1, -1/2, 14
Let w(r) be the first derivative of r**5/90 + r**4/27 - 8*r**3/27 - 34*r - 90. Let x(j) be the first derivative of w(j). Factor x(t).
2*t*(t - 2)*(t + 4)/9
Let x = -261 - -265. Let q(o) = o**3 + 29*o**2 - 43*o - 388. Let c be q(-30). Solve 0*u - c*u**x - 13/3*u**3 - 2/3*u**2 + 0 = 0.
-2, -1/6, 0
Let o(g) = 2*g**3 + g. Let x(b) = 109*b**2 - 13*b**3 - 1 + 7 - 20*b - 53*b**2 - 44*b**2. Let f(u) = 5*o(u) + x(u). Factor f(z).
-3*(z - 2)*(z - 1)**2
Let s(w) be the second derivative of w**5/16 + 27*w**4/16 + 91*w**3/24 + 15*w**2/8 + 664*w + 2. Determine r, given that s(r) = 0.
-15, -1, -1/5
Let j(o) be the third derivative of -o**5/12 + 25*o**4/4 - 625*o**3/6 + 1173*o**2. Factor j(i).
-5*(i - 25)*(i - 5)
Determine q, given that 4802 + 2/9*q**2 - 196/3*q = 0.
147
Let j(o) be the first derivative of -o**6/120 + o**5/60 + o**4/4 + 3*o**2/2 - 2*o - 106. Let p(z) be the second derivative of j(z). Factor p(y).
-y*(y - 3)*(y + 2)
Let o(f) = -3891*f + 19459. Let y be o(5). Let g(a) be the third derivative of -1/3*a**y - 1 + 0*a**3 + 0*a + 1/15*a**5 + 9*a**2. Factor g(z).
4*z*(z - 2)
Let y(z) = 25*z**2 + 260*z. Let s(b) be the second derivative of -b**4/3 - 37*b**3/6 - 266*b. Let n(j) = 20*s(j) + 3*y(j). Factor n(k).
-5*k*(k - 8)
Let i(m) be the first derivative of 0*m**2 + 13 + 2/33*m**3 + 0*m - 1/22*m**4. Let i(p) = 0. What is p?
0, 1
Let h be (144/180)/(4/150). Suppose -30*x + 25*x**2 + h*x**3 + 1408 - 1448 + 5*x**4 + 10*x**2 = 0. Calculate x.
-4, -2, -1, 1
Let p(y) be the first derivative of -4*y**2 - 25 + y**4 + 4/3*y**3 + 0*y. Factor p(o).
4*o*(o - 1)*(o + 2)
Let t(z) be the second derivative of -6/7*z**3 - 2/147*z**7 - 143*z + 16/105*z**6 - 22/35*z**5 + 2 + 8/7*z**4 + 0*z**2. Let t(p) = 0. Calculate p.
0, 1, 3
Let s(g) be the third derivative of -5*g**8/336 + 5*g**7/14 - 25*g**6/8 + 145*g**5/12 - 25*g**4 + 30*g**3 - 4*g**2 + 315*g. Let s(k) = 0. Calculate k.
1, 6
Suppose -32/21*r**2 + 248/21*r - 352/21 - 2/21*r**3 = 0. Calculate r.
-22, 2, 4
Let c = 44 + -40. Determine q, given that 8*q**2 - 17*q**3 + 4*q**2 + 9*q**2 - 402*q**4 + 405*q**c + 9*q = 0.
-1/3, 0, 3
Suppose 4040*o - 18815*o**5 - 29160 - 174140*o - 42020*o**5 - 458275*o**3 - 395550*o**2 - 264500*o**4 = 0. What is o?
-1, -18/23
Solve 0 + 24*c**2 - 51/5*c**3 - 3/5*c**5 + 252/5*c - 6*c**4 = 0 for c.
-7, -3, -2, 0, 2
Determine o so that 18*o**2 + 14440/9 + 1216/3*o + 2/9*o**3 = 0.
-38, -5
Suppose c + 3*d = 6*c + 5, -2*c = d - 9. Suppose -c*a + 3 = -7. Solve 3*p**2 - a*p**2 + 5*p**2 + 5*p + 2*p**2 = 0.
-1, 0
Let n = -396260 - -396264. Suppose -1/7*l**5 + 0*l + 0 - 4/7*l**n + l**3 + 10/7*l**2 = 0. Calculate l.
-5, -1, 0, 2
Let h(k) be the first derivative of 6/5*k**2 + 15 + 2/15*k**3 - 14/5*k. Factor h(m).
2*(m - 1)*(m + 7)/5
Suppose -13*f = -101*f + 483 - 43. Let d(x) be the second derivative of 0 - 1/2*x**4 + 3*x**2 + 24*x + 1/4*x**3 - 3/40*x**f. Factor d(z).
-3*(z - 1)*(z + 1)*(z + 4)/2
Let w(x) be the third derivative of 0*x - 5/12*x**4 + 1/28*x**7 + 1/12*x**6 - 18 - 5*x**2 - 7/24*x**5 + 5/3*x**3. Determine c so that w(c) = 0.
-2, -1, 2/3, 1
Let g = -5597132/7 - -799602. Factor 114*w - g*w**2 + 126 + 2/7*w**3.
2*(w - 21)**2*(w + 1)/7
Let o be (-35)/15 + 2 + (-130)/(-30). Let q(b) be the second derivative of 6*b + 2/19*b**2 + 0 + 1/114*b**o - 1/19*b**3. Factor q(d).
2*(d - 2)*(d - 1)/19
Let m(u) = 71*u**2 - 783*u + 1610. Let x(n) = 27*n**2 - 261*n + 537. Let z(j) = -3*m(j) + 8*x(j). Factor z(o).
3*(o - 2)*(o + 89)
Let n be (-30)/(-1 - 4) - 4. Factor -21 + 9 - 4*j + 2*j**n + 6.
2*(j - 3)*(j + 1)
Suppose 0 = 7*u - 125 + 510. Let o = u - -58. Factor 4/7*n + 8/7 - 4/7*n**o - 8/7*n**2.
-4*(n - 1)*(n + 1)*(n + 2)/7
Let a(f) = f**2 + 142*f + 195. Let w(p) = 570 + 860*p + 490 - 203 + 525 + 5*p**2 - 212. Let n(r) = -35*a(r) + 6*w(r). Determine i so that n(i) = 0.
-1, 39
Find t, given that 51 + 902*t**2 + 450*t**3 + 198 + 10 + 56*t**4 + 988*t - 89*t**3 + t**5 + 133 = 0.
-49, -2, -1
Determine c so that 12352/5*c**3 + 11366301704192/5 + 2/5*c**4 + 28607232/5*c**2 + 29446377472/5*c = 0.
-1544
Factor 40*p**5 - 37*p**5 - 6*p**2 - 447*p**3 + 15*p - 3*p**4 + 429*p**3 + 9.
3*(p - 3)*(p - 1)*(p + 1)**3
Let n(p) = 6*p**2 - 451*p - 1045. Let b(u) = -u**2 + 75*u + 175. Let t(w) = 34*b(w) + 6*n(w). Factor t(c).
2*(c - 80)*(c + 2)
Suppose 1773 + 56*q - 649 + 284 - 2*q**2 = 0. Calculate q.
-16, 44
Let r(f) = f. Let d(p) = -3*p**3 + 9*p**2 - 9*p. Suppose 6*s - 1 = -19. Let m(o) = s*r(o) - d(o). Solve m(g) = 0.
0, 1, 2
Let m(k) be the third derivative of k**7/70 + 3*k**6/8 + 19*k**5/10 + 3*k**4 + 4984*k**2. Determine j, given that m(j) = 0.
-12, -2, -1, 0
Find q, given that 0 + 218/3*q**2 + 148*q - 2/3*q**3 = 0.
-2, 0, 111
Let h be (-18681)/4311 - 1077/(-153). Factor -132/17*w**2 - h + 2/17*w**4 - 40/17*w**3 - 8*w.
2*(w - 23)*(w + 1)**3/17
Let f(j) be the second derivative of 2*j**6/15 - 61*j**5/5 + 440*j**4/3 - 1696*j**3/3 - 75*j + 7. Determine d so that f(d) = 0.
0, 4, 53
Sup