*a + 14/11*l**2 + 0 - 2/11*l**5 - 4/11*l + 10/11*l**4.
-2*l*(l - 2)*(l - 1)**3/11
Suppose 0*j - 140 = -11*j - 118. Suppose 13*c - 1/4*c**4 + 11/4*c**3 - 19/2*c**j - 6 = 0. Calculate c.
1, 2, 6
Let w(c) be the first derivative of c**4/9 + 38*c**3/27 + 8*c**2/9 - 2*c + 1393. Factor w(r).
2*(r + 1)*(r + 9)*(2*r - 1)/9
Let k(l) be the second derivative of 2 + 130*l - 1/4*l**5 - 105/2*l**4 - 4410*l**3 - 185220*l**2. Factor k(q).
-5*(q + 42)**3
Let k(o) = 25*o**2 - 117*o + 22. Let c(y) = -11*y**2 + 59*y - 11. Let r(m) = 10*c(m) + 4*k(m). Let g be r(12). Factor 3/2*i - 5/4 - 1/4*i**g.
-(i - 5)*(i - 1)/4
Determine v, given that -1382*v**2 + 4132*v - 162*v**3 - 125*v**3 - 12*v**3 + 13*v**3 + 24 - 59*v**3 = 0.
-6, -2/345, 2
Suppose -5*c - 47 = 4*b, -89*b + 90*b + 9 = -4*c. Factor -9/5*y + 2/5*y**2 - c.
(y - 5)*(2*y + 1)/5
Let q(y) be the third derivative of -1/240*y**6 + 17/120*y**5 - 7*y**2 + 26 + 37/48*y**4 + 0*y + 19/12*y**3. Let q(d) = 0. Calculate d.
-1, 19
Let g = -198558 + 1389946/7. Find f such that -g*f**2 - 2/7*f**3 - 36/7 - 74/7*f = 0.
-18, -1
Let w(i) = 4*i**4 + 40*i**3 + 112*i**2 + 126*i + 48. Let o(h) = -4*h**4 - 42*h**3 - 114*h**2 - 127*h - 48. Let r(p) = -2*o(p) - 3*w(p). Factor r(n).
-4*(n + 1)**2*(n + 3)*(n + 4)
Factor 2/5*r**4 + 2/5*r**3 + 0 - 2/5*r**2 - 2/5*r.
2*r*(r - 1)*(r + 1)**2/5
Factor -36*l**3 + 55546*l**4 + 6*l**3 + 32 + 30*l - 34*l**2 - 55544*l**4.
2*(l - 16)*(l - 1)*(l + 1)**2
Let v(h) = h - 5. Let a be v(10). Suppose -4*p - a*q - 2 = 0, q = -3*p - 2*q. Let -33*s**2 - 15*s**3 - p*s - 22*s**2 + 21*s + s = 0. What is s?
-4, 0, 1/3
Suppose -133*f + 263*f - 6 = 127*f. Find h such that 1/3*h**2 - f - 1/3*h = 0.
-2, 3
Let c(s) be the first derivative of s**4/60 + 14*s**3/15 + 98*s**2/5 - 43*s - 105. Let r(v) be the first derivative of c(v). Find w, given that r(w) = 0.
-14
Let q(i) = -2*i**2 + 5*i + 5. Let s be q(3). Factor 86*k**s - 3*k - 6 + 24 - 89*k**2.
-3*(k - 2)*(k + 3)
Let r(k) = -46*k + 110. Let x be r(-38). Suppose 3*j = x - 1846. Factor j*z**2 - 2/3*z**3 + 16/3 - 8*z.
-2*(z - 2)**3/3
Let r(u) = 57*u**2 + 7*u - 416. Let f(t) = 71*t**2 + 9*t - 415. Let z(g) = 4*f(g) - 5*r(g). Let z(q) = 0. Calculate q.
-20, 21
Let y be 1 + 0 + (8 - 7). Suppose -4*b + 3 = 3*h - 24, -y*b = 4*h - 26. Factor 2/11*o**2 - 2/11*o**b + 4/11*o + 0.
-2*o*(o - 2)*(o + 1)/11
Let n(s) be the first derivative of 3*s**4/20 - 1728*s**3/5 + 1492992*s**2/5 - 573308928*s/5 + 3526. Solve n(u) = 0 for u.
576
Let n be (-6)/(((-1)/(-1))/(4/(-8))). Suppose -n*w - 10 = -8*w. Suppose -12*d**4 - 2*d - 148*d**w - 27*d**3 - d + 130*d**2 = 0. What is d?
-1, -1/4, 0
Let q(v) be the first derivative of -13*v**3/18 + 301*v**2/12 - 23*v/3 + 7954. Factor q(g).
-(g - 23)*(13*g - 2)/6
Suppose 0 + 176/7*b - 192/7*b**2 - 4/7*b**4 + 60/7*b**3 = 0. What is b?
0, 2, 11
Let a(x) be the first derivative of 5*x**3/6 - 15*x**2/2 - 935*x/2 - 134. Factor a(f).
5*(f - 17)*(f + 11)/2
Let b = 540130 + -2700641/5. Find n, given that 0 - 18/5*n - 1/5*n**3 - b*n**2 = 0.
-6, -3, 0
Let h be (((-5896)/56)/11 - -10) + (-3)/7. Factor 0*l**3 - 1/2*l**4 + 0 + h*l + 1/2*l**2.
-l**2*(l - 1)*(l + 1)/2
Let w(u) = -8*u**2 + 36*u - 12. Let t be w(4). Find j, given that t*j**3 + 4187*j + 24 - 8414*j + 4199*j = 0.
-3, 1, 2
Solve 112*y**2 + 26/5*y**4 + 41*y**3 + 604/5*y + 1/5*y**5 + 224/5 = 0 for y.
-14, -8, -2, -1
Let m(a) = 2*a**2 - 3. Let j be m(2). Factor -r + 3*r - 3*r + j*r**3 + r**2 - 3*r**4 - r - r**3.
-r*(r - 1)**2*(3*r + 2)
Determine b so that -827*b**3 - 151*b**3 - 130*b**3 + 5220*b**2 - 260*b + 178*b**3 - 65*b**4 - 6960 - 615*b**3 = 0.
-348/13, -1, 2
Let w(n) = -n**3 + 267*n**2 + 1640*n - 544. Let u be w(273). Factor -45/2 - 15*x - 5/2*x**u.
-5*(x + 3)**2/2
Suppose -14*w - 448 = 2*w. Let j = w + 101/2. Factor -135*l - 270 - j*l**2 - 5/4*l**3.
-5*(l + 6)**3/4
Let n(a) be the second derivative of -5/12*a**4 - 1440*a**2 - 40*a**3 + 0 - 113*a. Factor n(m).
-5*(m + 24)**2
Let h(x) = -13*x**3 - 10*x**2 + 53*x - 48. Let q(g) = -9*g**3 - 9*g**2 + 54*g - 48. Let w(r) = 2*h(r) - 3*q(r). Solve w(p) = 0.
-12, 1, 4
Let y be 6/(-117) - 13/((-26364)/(-559))*-2. What is q in 0 - y*q**4 + 5*q - 3/2*q**2 - 3*q**3 = 0?
-5, -2, 0, 1
Let h(a) be the first derivative of -3*a**4/4 + 15*a**3 - 21*a**2 + 61. Factor h(x).
-3*x*(x - 14)*(x - 1)
Suppose -10*m = -19*m + 9. Let k(y) = -2*y**3 + 18*y**2 + 56*y + 52. Let c(l) = 2*l**3 - l + 1. Let b(d) = m*k(d) + 2*c(d). Suppose b(a) = 0. What is a?
-3
Let d(s) be the third derivative of 2*s**7/105 - s**6/3 + 3*s**5/5 + 18*s**4 - 72*s**3 - 79*s**2 + 4*s - 1. Factor d(w).
4*(w - 6)**2*(w - 1)*(w + 3)
Determine h, given that 2/13*h**2 + 2/13*h**5 - 2/13*h**4 + 0 - 2*h**3 + 24/13*h = 0.
-3, -1, 0, 1, 4
Let k(v) = 3*v**2 + 41*v + 28. Let z(w) = -7*w**2 - 94*w - 55. Let g(r) = -10*k(r) - 4*z(r). Factor g(j).
-2*(j + 2)*(j + 15)
Let -2899*x**4 + 26*x**2 - 17*x + 54*x**3 + 2905*x**4 - 67*x - 2*x**5 = 0. Calculate x.
-3, -2, 0, 1, 7
Find w, given that -836/3 - 5*w**2 - 284*w + 1/3*w**3 = 0.
-22, -1, 38
Let t(w) = -114*w**3 - 255*w**2 - 561*w - 255. Let q(p) = 7*p**3 + 16*p**2 + 35*p + 16. Let r(j) = -33*q(j) - 2*t(j). Factor r(z).
-3*(z + 1)*(z + 2)*(z + 3)
Factor 1/3*b**2 - 139/3*b - 140/3.
(b - 140)*(b + 1)/3
Find w, given that -256 + 683 - w**2 + 458 + 172*w = 0.
-5, 177
Let n be (1/(-9))/((-3)/72*2). Let l = 1448 + -1443. Suppose 4/3 - n*x**4 - 14/3*x + l*x**2 + 1/2*x**5 - 5/6*x**3 = 0. What is x?
-2, 2/3, 1, 2
Suppose 0 = -3*y + 3 - 3. Suppose y = h - 5, -7*u + 4*h = -2*u. Suppose -2/7*f**3 + 0 - 2/7*f**2 + 2/7*f + 2/7*f**u = 0. What is f?
-1, 0, 1
Let o(y) be the third derivative of y**5/720 - 353*y**4/72 + 124609*y**3/18 + 57*y**2 + 3. Factor o(r).
(r - 706)**2/12
Let n = -395 + 399. Let v(i) = -3*i**2 + 12*i. Let c be v(n). Factor 1/3*a**3 + 0 + c*a + 0*a**2 + 1/3*a**4.
a**3*(a + 1)/3
Let j(g) be the second derivative of -5*g**7/42 + 7*g**6/3 - 25*g**5/4 + 5*g**4 + 615*g. What is v in j(v) = 0?
0, 1, 12
Let w(t) be the first derivative of -215 - 1/24*t**6 - 1/5*t**5 + 0*t + t**3 - 9/8*t**2 + 1/8*t**4. Find m, given that w(m) = 0.
-3, 0, 1
Let v(f) = 2252*f + 490939. Let t be v(-218). Factor -9/2*l**2 - 21/8*l**t + 3/4 - 9/8*l.
-3*(l + 1)**2*(7*l - 2)/8
Let p(n) = n**2 + 718*n + 82227. Let u be p(-143). Solve 6*w**u + 4/5 - 26/5*w = 0 for w.
1/5, 2/3
Let w be -15 + (-13 - 85/(-5)) - 171/(-15). Let v = -2668/5 - -576. Suppose -34/5*f**4 - w*f**5 - 116*f**2 - 50 - v*f**3 - 130*f = 0. Calculate f.
-5, -1
Let u = 8627/14320 - 7/2864. Factor u*t**3 + 27*t - 72/5*t**2 - 66/5.
3*(t - 22)*(t - 1)**2/5
Let r be ((-6314)/35)/11 - (-4)/10. Let i be -1*2/r + 1230/1680. Factor -8/7*j + 8/7 - i*j**2.
-2*(j + 2)*(3*j - 2)/7
Let x(a) = a**3 + 46*a**2 + 621*a + 573. Let m(y) = y**2 + y + 1. Let j be (0 + 4/(-2))*8/16. Let f(h) = j*x(h) - 3*m(h). Find k such that f(k) = 0.
-24, -1
Let b(o) be the first derivative of 0*o**2 - o**4 + 20/3*o**3 + 0*o - 146. Determine n, given that b(n) = 0.
0, 5
Let c(n) be the third derivative of n**7/735 - 19*n**5/70 + 2*n**4/3 - 33*n**2 + 48*n. Factor c(b).
2*b*(b - 7)*(b - 1)*(b + 8)/7
Let d(r) = r**3 + 2*r + 16 - 5*r + 2*r - 20. Let m be d(2). What is g in -2/7*g**4 - 10/7*g**m + 3/7*g + 0 + 9/7*g**3 = 0?
0, 1/2, 1, 3
Factor -1/2*u**2 + 27 + 25/2*u.
-(u - 27)*(u + 2)/2
Suppose 5*j - 2 = -2*t - 3, 5*j = -5. Factor -2*y**2 - 458*y + 5*y**t + 431*y + 42.
3*(y - 7)*(y - 2)
Factor 2738/7 + 312/7*y**3 + 8/7*y**4 + 3338/7*y**2 + 5772/7*y.
2*(y + 1)**2*(2*y + 37)**2/7
Let t(a) be the first derivative of a**3/9 - 3*a**2 - 48*a - 2975. Factor t(x).
(x - 24)*(x + 6)/3
Let j(x) = 12*x**2 - 3*x - 4. Let y(q) = 3*q + 385*q**2 - 2*q + 386*q**2 - 773*q**2. Let p(r) = j(r) + 5*y(r). What is a in p(a) = 0?
-2, 1
Suppose -2*z = -4*o + 6*o, -5 = z. Let t(l) = -2*l**2 - 2*l + 24. Let b(p) = -p**2 - p + 12. Let d(k) = o*b(k) - 3*t(k). Factor d(g).
(g - 3)*(g + 4)
Let 4*s**5 - 5*s**2 + 60*s**3 - 7413129*s + 7413049*s - 11*s**2 + 32*s**4 = 0. What is s?
-5, -2, 0, 1
Suppose -2*s - 5*r - 90 = -120, s = 3*r - 7. Suppose 3*h - 40 = -13. Suppose 6*w**2 - 35*w**3 + 20*w**4 - 5*w**5 + s*w**4 + h*w**2 = 0. Calculate w.
0, 1, 3
Let x(v) be the first derivative of 3/10*v**5 + 216*v - 72*v**2 + 3*v**4 - 170 - 4*v**3. Factor x(z).
3*(z - 2)**2*(z + 6)**2/2
Let s(c) = 3*c**2 - 15*c + 1. Let