q) be the first derivative of 4*q - 2*q**2 - 27 + q**y - 4/3*q**3. Solve g(l) = 0 for l.
-1, 1
Let s(v) be the third derivative of -v**7/70 + v**6/20 + 16*v**5/5 + 20*v**4 - 122*v**2 + 13*v. What is j in s(j) = 0?
-4, 0, 10
Let j(c) be the third derivative of 0*c - 1/70*c**7 + 9/20*c**5 + 2*c**3 - 8*c**2 - 2 + 1/40*c**6 + 11/8*c**4. Determine k, given that j(k) = 0.
-1, 4
Let x be (-12179)/(-12) - (-202)/2424. Let u = -1012 + x. Factor -3/2*f + 0 + 23/4*f**2 + f**u.
f*(f + 6)*(4*f - 1)/4
Let n(a) = -a**3 + 6*a**2 - a - 18. Let i be n(5). Determine m, given that 20*m**4 + m**3 - 4*m - 463 + 12*m**i + 463 + 35*m**3 = 0.
-1, 0, 1/5
Let s(g) = -3*g**3 + 8*g**2 + 4*g. Let n(c) = -c**2 + 11*c + 46. Let h be n(14). Let x(u) = -u**3 - u**2 + u. Let k(l) = h*x(l) - s(l). What is v in k(v) = 0?
-12, 0
Let t = 24 + 33. Let j = t + -54. Factor -66*x**3 + x**4 - 2*x - 5*x**4 + 6*x + 78*x**j - 12*x**2.
-4*x*(x - 1)**3
Suppose 5*q + 141 = -779. Let j be (-2)/(-16) - q/64. Factor -3*g**3 - 18*g**4 - 3*g**3 + 20*g**2 - 2*g**j - 2*g**4 + 8*g.
-4*g*(g - 1)*(g + 1)*(5*g + 2)
Suppose -9*d = -15*d + 510. Suppose -97 = -4*p - d. Factor 6*b + 2*b + 8 - 3*b + 2*b**2 + p*b.
2*(b + 2)**2
Let c = 576824 - 576696. Solve -c + 448/3*y - 488/9*y**2 - 2/9*y**4 + 56/9*y**3 = 0.
2, 12
Let u be (-2)/9 - (-512)/36. Let q = -12 + u. Factor -6*s**2 - 4*s**2 - 3*s**2 + 6*s + 10*s**q.
-3*s*(s - 2)
Let h(f) = 135 - 1873*f - f**2 + 924*f + 933*f. Let j be h(6). Factor -i**j - 13/3*i**2 - 4/3*i + 0.
-i*(i + 4)*(3*i + 1)/3
Let -6*t**5 + 892*t**2 - 39952400*t + 2*t**5 + 39953440*t + 260*t**3 + 4*t**4 + 400 = 0. What is t?
-5, -2, -1, 10
Factor 86/3*f + 20/3 - 8/3*f**3 + 22/3*f**2.
-2*(f - 5)*(f + 2)*(4*f + 1)/3
Let x be 96/(-54) - -7 - 4/18. Find r such that 33*r + r**4 + 2*r**3 - x*r**3 - 63*r + 34*r = 0.
-1, 0, 2
Let b(r) be the third derivative of -102*r**2 + 5/84*r**4 + 4/735*r**7 + 0*r - 1/70*r**5 - 1/21*r**3 + 0 - 1/84*r**6. Find u such that b(u) = 0.
-1, 1/4, 1
Let n(h) be the second derivative of -113*h - 9/4*h**5 + 47/2*h**4 - 10*h**3 + 0 - 36*h**2. Factor n(p).
-3*(p - 6)*(3*p - 2)*(5*p + 2)
Let f(c) be the first derivative of 2*c**6/27 + 16*c**5/9 - 98*c**4/9 - 1312*c**3/3 - 1230*c**2 - 1200*c + 3613. Find k, given that f(k) = 0.
-15, -1, 12
Let n(c) be the first derivative of -c**3/33 - 167*c**2/22 - 166*c/11 - 543. Suppose n(a) = 0. What is a?
-166, -1
Let z(g) be the second derivative of 5*g**4/3 - 698*g**3 + 836*g**2 + 52*g - 3. Suppose z(n) = 0. Calculate n.
2/5, 209
Let l be (3 - 8)*-2 + -3. Find p such that -104*p**4 - 2*p**3 + 99*p**4 + l*p**3 = 0.
0, 1
Let y be (5 - 60/8)*-2. Let l(v) be the third derivative of 0 - v**2 + 1/30*v**6 + 0*v**3 + 0*v**4 + 0*v**y + 0*v. Factor l(h).
4*h**3
Suppose 0 = 4*k + 80 - 88. Let b be ((-430)/1161)/(k/3 - 1). Suppose 4/3*l**3 - b*l + 4/9*l**2 - 2/3 + 2/9*l**4 - 2/9*l**5 = 0. What is l?
-1, 1, 3
Let y be (6/(-4))/((-250)/20 + 12). Let n(g) be the second derivative of 0 + 23*g - 1/32*g**4 - 3/4*g**2 + 1/4*g**y. Let n(f) = 0. Calculate f.
2
Let m be ((-54)/(-30))/(7/((-175)/(-15))). Let g(c) = -c**2 + 5*c - 1. Let o be g(4). Solve -m*v**2 + o*v + v**2 - v - 4*v = 0.
-1, 0
Let v(g) = -59*g - 27. Let n be v(-3). Determine f, given that f**3 - 18 + f**3 - n*f + 268 + 30*f**2 - 4*f**3 = 0.
5
Factor 252189910196802/11 + 26808/11*j**3 + 134750412/11*j**2 + 2/11*j**4 + 301032420408/11*j.
2*(j + 3351)**4/11
Suppose h - 21*v = -16*v + 2828, 5*v = -2*h + 5641. Factor 20*b**5 + 2911*b**2 - 16*b**4 - 8 - 8*b - 12*b - 64*b**3 - h*b**2.
4*(b - 1)**3*(b + 2)*(5*b + 1)
Let o = -386306 - -386309. Factor -o*y + 12/5 + 3/5*y**2.
3*(y - 4)*(y - 1)/5
Suppose 0 = -r - u + 21, -r + 94 = -4*u + 153. Find v, given that 8/3*v**2 - 4/3*v**4 - 4/3 + 2*v + 2*v**r - 4*v**3 = 0.
-1, 2/3, 1
Let k be (-6454)/30 - 50/(-375). Let x = -215 - k. Factor -1/9*o**5 - 1/3*o + x*o**4 - 2/9 + 2/9*o**2 + 4/9*o**3.
-(o - 2)*(o - 1)*(o + 1)**3/9
Let b(d) = -68*d**3 + 3456*d**2 - 66756*d + 24. Let z(l) = 31*l**3 - 1571*l**2 + 30343*l - 11. Let f(h) = -11*b(h) - 24*z(h). Solve f(m) = 0.
0, 39
Suppose 4 - 104 = -2*y. Suppose 12*q - 4*q = 104. Suppose -2*t**3 - 11*t**2 - 70*t + 0*t - y + 2*t**2 - q*t**2 = 0. Calculate t.
-5, -1
Factor 2/9*o**3 + 46/9*o - 8 + 8/3*o**2.
2*(o - 1)*(o + 4)*(o + 9)/9
Let c(m) be the first derivative of 3*m**5/25 + 933*m**4/20 + 6489*m**3 + 3469143*m**2/10 + 6556362*m/5 + 955. Factor c(n).
3*(n + 2)*(n + 103)**3/5
Let l(s) be the third derivative of -s**5/20 - s**4/8 + 78*s**3 - 3193*s**2. Factor l(v).
-3*(v - 12)*(v + 13)
Let c(q) = 22*q + 136. Let g be c(-6). Determine z, given that -27*z**4 + 14*z**5 + 23*z**g - 16*z**2 - 12*z**3 + 8*z - 30*z**3 = 0.
-1, 0, 2/7, 2
Suppose 3*s - 4*s - 4*d = -2, -d = -2*s + 22. Let m(g) = 3*g - 29. Let f be m(12). Factor 8*h**3 - s*h**4 + 2*h - 10*h + f*h**4 - h**4 + 4.
-4*(h - 1)**3*(h + 1)
Determine n, given that -5264/15*n + 3463712/15 + 2/15*n**2 = 0.
1316
Let j(p) be the second derivative of p**4/18 - 53*p**3/9 - 110*p**2/3 - 2663*p. Factor j(h).
2*(h - 55)*(h + 2)/3
Let h(q) be the first derivative of -q**6/6 + 27*q**5/5 + 29*q**4/4 - 9*q**3 - 14*q**2 + 3264. Factor h(f).
-f*(f - 28)*(f - 1)*(f + 1)**2
Determine z so that 30*z + 108*z + 212*z + 172 - z**3 + 68*z**2 - 7*z + 102*z**2 = 0.
-1, 172
Let q be 1689/(-30) - (3 - 35/14). Let t = 57 + q. Suppose 4/5 + t*b**2 - 4/5*b = 0. Calculate b.
2
Let s = 409 - 407. Factor -4036 - s*m + 30*m**2 - m**3 - m + 4006 + 4*m**3.
3*(m - 1)*(m + 1)*(m + 10)
Suppose -g = 13*g - 154. Factor -g + 20*w**2 + 24*w + 4*w**3 + 11.
4*w*(w + 2)*(w + 3)
Factor -1/7*r**5 - 88064/7*r**2 + 1048576 - 121/7*r**4 - 131072/7*r - 5248/7*r**3.
-(r - 7)*(r + 32)**4/7
Let x(v) be the second derivative of v**5/660 - 5*v**4/264 - 7*v**3/33 + 69*v**2/2 - 17*v. Let z(n) be the first derivative of x(n). Factor z(y).
(y - 7)*(y + 2)/11
Let j(y) be the second derivative of y**6/15 + 3*y**5/2 - 25*y**4/2 - 1375*y**3/3 - 3750*y**2 - 12815*y. Factor j(t).
2*(t - 10)*(t + 5)**2*(t + 15)
Let j = 344519/8658 + 220/1443. Let w = -79/2 + j. Factor w*s**3 - 2/9*s**4 - 2/9*s + 4/9*s**2 - 2/9 - 2/9*s**5.
-2*(s - 1)**2*(s + 1)**3/9
Let p = 141 - 127. Let z = -12 + p. Suppose 56 - 5*g**z - 117 - 10*g + 56 = 0. What is g?
-1
Let n(m) = 165*m - 15671. Let u be n(95). Let 20*q - 15/4*q**2 + 5*q**u + 5 - 55/4*q**3 = 0. What is q?
-1, -1/4, 2
Let u be (-2759)/(-155)*-1 + 18. Suppose -1/2*t - 1/10*t**3 - u - 2/5*t**2 = 0. Calculate t.
-2, -1
Suppose 3*s + 66 = 21*x, -s + 13 - 17 = 2*x. Suppose 0 - 1/3*y**x - 1/3*y = 0. Calculate y.
-1, 0
Let i(u) = 4*u**3 - 12*u**2 + 3*u + 12. Suppose -25*r - 75 = -25. Let d(f) = -f**3 + 4*f**2 - f - 4. Let t(j) = r*i(j) - 7*d(j). Factor t(n).
-(n - 1)*(n + 1)*(n + 4)
Let s(z) = -61*z - 182. Let o be s(-8). Let 932*m**2 - 7*m + 14 - 267*m - o*m - 78 - 80*m**3 + 152 = 0. What is m?
1/4, 2/5, 11
Let l(g) be the third derivative of 1/120*g**6 - 3/8*g**4 + 5/6*g**3 + 2*g**2 + 1/20*g**5 - 6*g + 0. Find o such that l(o) = 0.
-5, 1
Suppose -142/7*x**4 + 208/7*x**3 + 2/7 + 4*x + 36/7*x**5 - 132/7*x**2 = 0. Calculate x.
-1/18, 1
Factor -861*d + 122*d - 2*d**2 - 659*d - 419528 - 434*d.
-2*(d + 458)**2
Determine u so that 3973*u - 2*u**2 + 11*u**2 - 172 + u**2 - 857*u - 1076 = 0.
-312, 2/5
Let k = -37 - -34. Let s be 64/52*k/(-6). Find v, given that -s - 2/13*v**2 - 8/13*v = 0.
-2
Let j = 29263 + -29261. Let l(b) be the first derivative of 15/4*b**4 + 0*b - 3/5*b**5 + 9/2*b**j - 7*b**3 - 43. Factor l(w).
-3*w*(w - 3)*(w - 1)**2
Let j be (9/(-27) + 0)/((-90)/10 + 8). Suppose 8/3*y**2 - 1/3*y + j*y**3 - 8/3 = 0. Calculate y.
-8, -1, 1
Let -38203*y**3 - 33*y**2 - 900 - 795*y + 38200*y**3 - 61*y**2 = 0. Calculate y.
-15, -4/3
Let a = 105 - -267. Suppose -371*m + a*m - 3 = 0. Determine v, given that 0*v + 1/2*v**m + 0 + 1/2*v**4 - v**2 = 0.
-2, 0, 1
Let t(i) = 8*i + 2. Let l(j) = -18*j - 5. Let v(c) = 3*l(c) + 7*t(c). Let n(s) = -s**2. Let y(h) = -2*n(h) - 2*v(h). Factor y(r).
2*(r - 1)**2
Let s = -62414 - -62417. Factor 66/7*w**4 + 0 + 6/7*w**2 - 6/7*w + 24/7*w**5 + 54/7*w**s.
6*w*(w + 1)**3*(4*w - 1)/7
Let j(a) = -6 - 6*a - 4*a**2 + 2 - 4. Let w(t) = -12*t**2 - 22*t - 36. Let p(s) = s + 4. Let z(g) = 3*p(g) + w(g). Let q(v) = 17*j(v) - 6*z(v). Solve q(r) = 0.
-2, -1
Let p(d) = 2*d**2 + d - 8. Let c(s) = 