 x?
-1, 1, 2
Let g(t) = 3*t**2 + t - 11. Let s be g(-8). Suppose s*k = 162*k + 22. Solve -1/7*l**k + 4/7*l - 3/7 = 0 for l.
1, 3
Let q(y) be the third derivative of y**5/90 + 89*y**4/36 + 140*y**3/3 - 13*y**2 + 2*y + 82. Factor q(j).
2*(j + 5)*(j + 84)/3
Let z(p) = 307*p + 3070. Let h be z(-10). Let -17/5*a**3 + h - 64/5*a + 16*a**2 + 1/5*a**4 = 0. What is a?
0, 1, 8
Let f(h) be the first derivative of -2*h**3 - 5*h - 1/8*h**4 + 42 - 21/4*h**2. Factor f(v).
-(v + 1)**2*(v + 10)/2
Let x(p) = -6*p**2 + 262*p - 170. Let f be x(43). Factor 28/3 - 7/3*n**f - 1/3*n**3 + 4/3*n.
-(n - 2)*(n + 2)*(n + 7)/3
Suppose 75 = -2*z - 3*o + 121, -5*o + 67 = 3*z. Let r(g) be the first derivative of 0*g + 10*g**3 + 3/8*g**4 - z + 75*g**2. Factor r(w).
3*w*(w + 10)**2/2
Factor 1/11*s**3 + 14*s**2 - 1/11*s - 14.
(s - 1)*(s + 1)*(s + 154)/11
Let g = 2247 - 2244. Let f(a) be the first derivative of 5/2*a**2 + 0*a - 11 - 10*a**g. What is v in f(v) = 0?
0, 1/6
Let b(y) be the first derivative of -114/25*y**5 - 94 - 2/5*y**2 + 28/15*y**6 + 0*y + 2/5*y**3 + 14/5*y**4. Find v, given that b(v) = 0.
-1/4, 0, 2/7, 1
Let a be (-15 - (1 + -9)) + 2. Let o be ((-1)/(3/36*4))/a. Factor -6/5 + 3/5*n + 6/5*n**2 - o*n**3.
-3*(n - 2)*(n - 1)*(n + 1)/5
Suppose 58*d - 409 = 403. Let r(k) be the first derivative of -9/2*k**2 - 6*k + 0*k**5 - d + 2*k**3 - 1/2*k**6 + 3*k**4. Factor r(b).
-3*(b - 2)*(b - 1)*(b + 1)**3
Let g(x) be the first derivative of -x**4/18 + 22*x**3/27 + 139*x**2/3 + 90*x - 7189. Find d, given that g(d) = 0.
-15, -1, 27
Let i(x) be the first derivative of -8*x**3/3 + 778*x**2 + 780*x - 717. Solve i(p) = 0.
-1/2, 195
Let c(b) be the third derivative of -1/240*b**5 + 1/960*b**6 + 166*b**2 + 0*b**4 + 0*b + 0 + 0*b**3. Factor c(k).
k**2*(k - 2)/8
Let c(s) be the third derivative of s**6/20 - 11*s**5/60 - s**4/24 - s**3 + 19*s**2. Let i(y) = -5*y**3 + 9*y**2 + 4. Let a(t) = 2*c(t) + 3*i(t). Factor a(h).
-h*(h - 1)*(3*h - 2)
Let b(i) be the third derivative of i**8/4032 - i**7/168 - 37*i**5/60 + 50*i**2. Let v(g) be the third derivative of b(g). Factor v(o).
5*o*(o - 6)
Let y be 11 + -10 + (-21)/36. Let x(p) be the third derivative of 0 - 5/3*p**3 - y*p**5 + 35/24*p**4 + 0*p + 5*p**2. Factor x(m).
-5*(m - 1)*(5*m - 2)
Let b(m) be the second derivative of -m**7/42 + 4*m**6/15 + 41*m**5/5 - 472*m**4/3 + 1408*m**3/3 + 7168*m**2 - 142*m + 2. Let b(c) = 0. Calculate c.
-14, -2, 8
Let m(u) = -u**2 + 6*u + 90. Let q be m(13). Let s be (-56)/(-140)*(-1)/(q/5). Factor 0*h**3 - 2/15*h**s + 0*h + 2/15*h**4 + 0.
2*h**2*(h - 1)*(h + 1)/15
Let d = -21695226/17 - -1275688. Let w = d - -502. Find n such that w*n**2 - 2/17*n**3 - 2/17*n + 0 = 0.
0, 1
Let h(t) be the third derivative of -t**6/420 - 19*t**5/210 - 16*t**4/21 + 4*t**3 - t**2 - 2*t. Factor h(r).
-2*(r - 1)*(r + 6)*(r + 14)/7
Suppose 3389*p + 1413524 = 14122274. Find y, given that 75*y**2 + 62500 - 1/2*y**3 - p*y = 0.
50
Let o = 3967 + -3965. Let m(z) be the first derivative of -22 + 0*z - 1/3*z**o - 1/15*z**5 - 1/18*z**6 + 1/4*z**4 + 1/9*z**3. Find k such that m(k) = 0.
-2, -1, 0, 1
Let y(w) be the first derivative of -w**5/15 + 235*w**4/12 - 4483*w**3/3 - 42007*w**2/6 - 28322*w/3 + 5988. Suppose y(m) = 0. Calculate m.
-2, -1, 119
Suppose 37*n + 35625 = 35958. Factor 3/2*s**5 + 486 + 162*s**2 - 12*s**4 + n*s**3 - 1053/2*s.
3*(s - 3)**4*(s + 4)/2
Let c(b) be the second derivative of -b**6/30 - b**5/5 - b**4/3 - 13*b**2/2 + b - 37. Let o(l) be the first derivative of c(l). Find u such that o(u) = 0.
-2, -1, 0
Let r(m) be the second derivative of 48*m + 0 - 7*m**2 + 5/6*m**3 + 1/12*m**4. Find w such that r(w) = 0.
-7, 2
Suppose 1491*d - 1283*d = 416. Factor 0*c + 2/9*c**3 + 0 + 2/9*c**d.
2*c**2*(c + 1)/9
Let l(o) be the second derivative of -108*o**4 - 1/10*o**6 - 2*o + 864*o**3 + 0*o**2 + 27/5*o**5 + 6. Factor l(g).
-3*g*(g - 12)**3
Let y be (-7)/(-21)*(-3 + 4). Let t(i) be the second derivative of 7/80*i**5 + 2*i + 0 - 17/24*i**3 + y*i**4 - 3/4*i**2. Find l, given that t(l) = 0.
-3, -2/7, 1
Factor -46/5*r - 1/5*r**4 + 21/5 + 28/5*r**2 - 2/5*r**3.
-(r - 3)*(r - 1)**2*(r + 7)/5
Suppose -344 = 6*y - 374. Suppose -6*v = 5 - y. Solve 4/7*j**3 + v*j**2 + 0 + 2/7*j**4 + 0*j = 0 for j.
-2, 0
Let m(n) be the second derivative of 0*n**2 - 2*n**4 + 9*n - 3/4*n**5 + 2*n**3 + 0. Factor m(b).
-3*b*(b + 2)*(5*b - 2)
Let j(r) = 2*r**3 - 16*r**2 + 24*r + 6. Let x(p) = 168*p**2 - 168*p - 13*p**2 - 14*p**3 - 44 - 43*p**2. Let i(m) = 44*j(m) + 6*x(m). Factor i(a).
4*a*(a - 6)*(a - 2)
Let n(y) be the first derivative of -y**5 + 205*y**4/4 + 5*y**3 - 625*y**2/2 + 410*y - 4672. Determine v, given that n(v) = 0.
-2, 1, 41
Let h be (6/6 - 8) + 6 - -3. Find o such that -53*o**2 - 43*o**4 + 252*o**3 - 17*o**4 + 39*o**h + 4*o**5 - 13*o**2 - 169*o**2 = 0.
0, 1, 7
Factor -4/7*i**3 + 1352/7 + 192*i**2 + 2700/7*i.
-4*(i - 338)*(i + 1)**2/7
Suppose 3*x - 5*x + 27 = 5*d, 5*d + 6 = x. Factor -15*t**2 + 5*t**3 - t**3 - 27 + 7*t**2 + x - 28*t.
4*(t - 4)*(t + 1)**2
Factor -4107/2*m - 3/2*m**2 - 2052.
-3*(m + 1)*(m + 1368)/2
Determine o so that -31*o**3 + 35 + 231*o**5 - 35 + 9*o**4 - 228*o**5 + 84*o**2 - 41*o**3 = 0.
-7, 0, 2
Let z(h) be the first derivative of -h**4/2 + 166*h**3/3 - 163*h**2 + 162*h + 616. Factor z(q).
-2*(q - 81)*(q - 1)**2
Let q = -1489/102 - -132/17. Let l = 181/12 + q. Factor 27/4*a**3 + 0 + l*a**4 + 3/4*a**2 + 3*a**5 - 3/4*a.
3*a*(a + 1)**3*(4*a - 1)/4
Suppose -18 = -4*a + 2*h, a = 20*h - 17*h + 12. Factor -3*u - 4*u**4 + 6 + 13*u**3 - 18*u**3 - 2 - 5*u + 13*u**a.
-4*(u - 1)**3*(u + 1)
Let l = -64606 - -64608. Factor 32/7 + 4/7*c**l + 24/7*c.
4*(c + 2)*(c + 4)/7
Let b(d) be the second derivative of -d**8/5880 - d**7/588 - d**6/315 + 19*d**3/2 - 37*d. Let l(z) be the second derivative of b(z). Factor l(q).
-2*q**2*(q + 1)*(q + 4)/7
Let d(f) be the third derivative of -f**5/105 + 152*f**4/21 - 202*f**3/7 + 64*f**2 - f. Factor d(k).
-4*(k - 303)*(k - 1)/7
Let m(w) be the second derivative of 31 - w - 3/20*w**5 + 162*w**2 + 15/4*w**4 - 36*w**3. Factor m(d).
-3*(d - 6)**2*(d - 3)
Let b be 1764/441 + 21/(-9). Solve 4/3*a - b*a**3 + 0 + 0*a**4 + 0*a**2 + 1/3*a**5 = 0 for a.
-2, -1, 0, 1, 2
Let n(b) be the first derivative of 1/18*b**4 + 28/27*b**3 + 0*b + 47 + 49/9*b**2. Let n(h) = 0. Calculate h.
-7, 0
Find q, given that -1525*q**3 + 762*q**3 - 126*q**2 + 759*q**3 + 46*q**2 = 0.
-20, 0
Let b be (-1562792)/(-151360) + (-51)/5. Factor b*r**3 - 9/8*r**2 - 5/4*r + 0.
r*(r - 10)*(r + 1)/8
Let o be ((-4)/2)/1*(-45)/30. Suppose -76*z**2 + 220*z**o - 72*z**2 + z - 2 + 111*z**4 - 250*z**5 + 39*z**4 + 29*z = 0. Calculate z.
-1, 1/5, 1
Suppose -42*l + 48*l = 72. Suppose -p**2 - 81*p - l*p**2 - 14*p**2 + 9*p**2 - p**3 = 0. What is p?
-9, 0
Let c(n) = 4*n**3 - 604*n**2 + 4456*n - 3840. Let k(i) = -6*i**3 + 1210*i**2 - 8912*i + 7680. Let s(y) = -7*c(y) - 4*k(y). Find v, given that s(v) = 0.
-160, 1, 6
Let m = -337618/39 - -8657. Let w(p) be the second derivative of -1/78*p**4 + 4*p + m*p**3 + 0 - 6/13*p**2. Solve w(q) = 0 for q.
2, 3
Let l be ((-2009)/(-504) + -4)/((-2)/138). Let k(r) be the second derivative of -3/20*r**5 - 9*r + 0 - 5/2*r**3 - 25/8*r**2 - l*r**4 - 1/120*r**6. Factor k(g).
-(g + 1)**2*(g + 5)**2/4
Let w(a) = -4*a + 7. Let k(h) = 4*h - 8. Let u(t) = 5*k(t) + 6*w(t). Let m be u(0). Factor -12*v**3 - 11*v**2 + 17*v**3 - 4*v**m.
5*v**2*(v - 3)
Let x(i) be the first derivative of i**3/12 + 611*i**2 + 1493284*i - 5621. Factor x(y).
(y + 2444)**2/4
Let t(g) be the first derivative of g**3/2 - 300*g**2 + 5925*g/2 + 6431. Factor t(k).
3*(k - 395)*(k - 5)/2
Factor -76/3*k - 3/2*k**2 + 17/6.
-(k + 17)*(9*k - 1)/6
Let g be 72/(-15)*1410/12. Let k = -564 - g. Factor k - 16/5*o + 4/5*o**2.
4*o*(o - 4)/5
Suppose 17*w = 9*w + 16. Factor w*u**3 + 0*u**2 - 2*u**5 - 7*u**4 + 4*u**2 - 2*u**2 + 5*u**4.
-2*u**2*(u - 1)*(u + 1)**2
Suppose 61*h - 163*h = -113*h. Solve 3/4*u**4 + 0 + h*u - 9/4*u**3 + 3/2*u**2 = 0 for u.
0, 1, 2
Let c = -6/713 + 1492/7843. Factor c*d**3 + 16/11 - 6/11*d**2 - 12/11*d.
2*(d - 4)*(d - 1)*(d + 2)/11
Let s(i) = -49*i**3 - i**2 + 2*i + 2. Let m be s(-1). Suppose -m = -11*c - 4. Factor 0*b + 0 - 3/7*b**c + 3/7*b**2 + 0*b**3.
-3*b**2*(b - 1)*(b + 1)/7
Let r = -555176/19 + 29228. Factor r*n**3 + 0 - 32/19*n**4 + 2/19*n**5 - 224/19*n**2 + 98/