24*l + 15*l**2 + a + 3 = 0. What is l?
-2, -1
Let a(c) = -c**3 - 7*c**2 + 813*c + 419. Let d be a(-32). Factor 6*x - 1 - 21/4*x**2 + 5/4*x**d.
(x - 2)**2*(5*x - 1)/4
Let r(t) = -2*t**5 - 28*t**4 + 34*t**3 - 8*t**2 + 4*t. Let n(g) = -g**5 + g**4 + g**3 - 2*g**2 + g. Let j(p) = -4*n(p) + r(p). Factor j(k).
2*k**3*(k - 15)*(k - 1)
Let s(t) be the first derivative of -5*t**3/6 - 70*t**2 - 1715*t/2 - 898. Factor s(r).
-5*(r + 7)*(r + 49)/2
Suppose -35*p + 39 = -22*p. Factor 14 - 26 + 20*c - 6*c**3 + 8*c**3 - 6*c**p - 4*c**2.
-4*(c - 1)**2*(c + 3)
Let g(a) be the first derivative of a**6/39 + 8*a**5/65 - 3*a**4/13 - 8*a**3/39 + 5*a**2/13 + 1549. Find r such that g(r) = 0.
-5, -1, 0, 1
Let j(r) be the third derivative of r**7/315 - 11*r**6/6 - 221*r**5/30 - 83*r**4/9 - 37*r**2 + 120. Suppose j(p) = 0. What is p?
-1, 0, 332
Let k(w) be the third derivative of w**7/490 + 13*w**6/280 - 3*w**5/14 - 2*w**2 - 35*w. Factor k(p).
3*p**2*(p - 2)*(p + 15)/7
Let q(k) be the first derivative of -5/3*k**3 + 0*k**4 + 3/8*k**5 + 0*k**2 + 15*k - 1/12*k**6 + 19. Let y(a) be the first derivative of q(a). Factor y(x).
-5*x*(x - 2)**2*(x + 1)/2
Let i(t) be the first derivative of -2*t**3/15 + 13*t**2/5 + 28*t/5 - 893. Factor i(d).
-2*(d - 14)*(d + 1)/5
Let x(c) = 6*c**3 + 41*c**2 - 260*c + 10. Let l(n) = 7*n**3 + 40*n**2 - 261*n + 12. Let u(v) = 5*l(v) - 6*x(v). Factor u(s).
-s*(s - 5)*(s + 51)
Suppose 34*x - 596 = 186. Suppose -36*v = -49 - x. Solve 2*k**3 - v*k + 1/3*k**4 + 8/3*k**2 - 3 = 0 for k.
-3, -1, 1
Let l(m) = 2*m**3 - 93*m**2 + 394*m - 261. Let z(p) = 3*p**3 - 187*p**2 + 789*p - 535. Let y(f) = -10*l(f) + 6*z(f). Factor y(k).
-2*(k - 3)*(k - 1)*(k + 100)
Let v(b) = 24 + 15*b - 4 - 16*b. Let q be v(20). Determine w so that -6 + 3*w**2 - 2*w - 4*w + 9 + q = 0.
1
Let r(h) = 30 + 20*h + 91*h**2 - 143*h + 8*h**3 + 19. Let n(u) = -4*u**3 - 47*u**2 + 61*u - 25. Let i(m) = 10*n(m) + 6*r(m). Determine f so that i(f) = 0.
-11, 1/2, 1
Let w(k) be the first derivative of -3*k**3 - 3/40*k**5 + 103 + 48*k + 6*k**2 - 15/16*k**4. Suppose w(u) = 0. Calculate u.
-4, 2
Factor -2*p**2 + 163 - 420*p + 296*p + 653.
-2*(p - 6)*(p + 68)
Suppose -19 = -5*v - b, -3*v + 7 = 6*b - b. Suppose 28*s - v*g = 29*s + 10, 3*s - 4*g = 18. Factor 4/5*d**5 + 0*d**4 + 0 - 8/5*d**3 + 0*d**s + 4/5*d.
4*d*(d - 1)**2*(d + 1)**2/5
Suppose 2*f - 27 = -59. Let t be 9/2 - (-24)/f. Solve 16*w**5 + 4*w - 24*w**4 + 63*w**3 - 3*w**t - 28*w**4 - 28*w**2 = 0.
0, 1/4, 1
Let u = 4423 + -4420. Let n(a) be the third derivative of -1/11*a**u - 7/132*a**4 + 0 + 0*a - a**2 - 1/66*a**5 - 1/660*a**6. Factor n(b).
-2*(b + 1)**2*(b + 3)/11
Let u(g) = 6*g**2 - 13*g - 15. Let s be u(3). Suppose i + 3*t = 17, s = -3*t - 2*t + 25. Solve 1/2*k + 1/2*k**i - 1/2*k**4 - 1/2*k**3 + 0 = 0.
-1, 0, 1
Suppose -4*i = -g - 47, -g = -2*i + 3*g + 34. Let u be 226/90 + i/(-99). Determine p so that -u - 8/5*p + 4/5*p**2 = 0.
-1, 3
Let k(d) be the first derivative of 4*d + 2/3*d**3 + 18/5*d**5 - 9*d**2 - 67 + 21/2*d**4. Factor k(g).
2*(g + 1)*(g + 2)*(3*g - 1)**2
Let t(p) = -26*p**2 + 8837*p - 3907280. Let s(b) = 305*b**2 - 106045*b + 46887360. Let y(l) = -3*s(l) - 35*t(l). Factor y(j).
-5*(j - 884)**2
Let d(q) = q**3 + 339*q**2 + 346*q + 2707. Let s be d(-338). Factor -14*r**2 - 10/3*r**s + 0 - 2/9*r**4 - 98/9*r.
-2*r*(r + 1)*(r + 7)**2/9
Suppose -10*c + 12 + 8 = 0. Let k(x) = 2*x**2 - 124*x - 1926. Let j(y) = 6*y**2 - 248*y - 3854. Let h(d) = c*j(d) - 5*k(d). Factor h(t).
2*(t + 31)**2
Find q such that 12 - 7 - 1320*q - 7 - 857*q + 246*q - 4815*q**2 = 0.
-2/5, -1/963
Let m be 134/5 - ((-45)/(-25) + -2). Let f be -6*3/m*-3. Find w, given that -10*w**5 - 5*w - 5*w**4 + 15*w**3 + 75*w**2 - 34*w**f - 36*w**2 = 0.
-1, 0, 1/2, 1
Let o = 1639 + -1644. Let n be (3 + -5)*((-126)/24 - o). Find q, given that n*q**5 + 0 + 2*q - q**4 + 2*q**2 - 3/2*q**3 = 0.
-1, 0, 2
Let u(t) be the third derivative of -t**7/280 + t**6/32 + 7*t**5/80 - 41*t**4/32 + 15*t**3/4 + 2373*t**2. Solve u(y) = 0.
-3, 1, 2, 5
Let n(s) = s - 1. Let h(c) = 62*c + 3. Let y(t) = -h(t) - n(t). Let l be y(-9). Factor 565 + 2*p**4 - l + p**5 - p - 2*p**2.
p*(p - 1)*(p + 1)**3
Let h = -296 - -314. Let z be (4/2)/(-8)*0. Let -19*a - 3*a**2 + 9*a - h - 5*a + z = 0. What is a?
-3, -2
Let c(p) be the second derivative of p**6/30 + 103*p**5/10 + 3467*p**4/4 - 10712*p**3/3 + 5408*p**2 - 336*p. Let c(s) = 0. What is s?
-104, 1
Suppose 402*q = 351*q + 102. Let m(s) be the first derivative of -576*s + 20 - 48*s**q - 4/3*s**3. Factor m(p).
-4*(p + 12)**2
Let a(j) = j**3 + 2*j**2 - 9*j + 1. Let d be a(-4). Let -2*t**5 - 4*t**2 + 6*t**3 - 84*t + 6*t**d - 5*t**5 + 4*t**4 + 79*t = 0. Calculate t.
-1, 0, 1, 5
Suppose -322*o - 6890 = -312*o. Let k = o - -691. Factor -2/7*g**k + 0 + 2/7*g**3 - 2/7*g + 2/7*g**4.
2*g*(g - 1)*(g + 1)**2/7
Let w(g) = g**3 - 2*g**2 + 3*g + 2. Let l be w(2). Let x be 4/l*-2 + 21/7. Factor -3 + 3/2*v**x - 7/2*v.
(v - 3)*(3*v + 2)/2
Factor 30 - 123*y**2 + 86 + 32 + y**3 + 89*y**2 - 115*y.
(y - 37)*(y - 1)*(y + 4)
Let c(v) be the first derivative of 2/51*v**3 + 1/34*v**4 - 43 + 0*v - 12/17*v**2. Factor c(u).
2*u*(u - 3)*(u + 4)/17
Let b(c) = -c**3 + c**2 + 6*c - 1. Let g be b(-2). Let x be ((-896)/154 - -6)/(g/(-22)). Factor 24/5*s**3 + 2/5 + 12/5*s + 26/5*s**2 + 8/5*s**x.
2*(s + 1)**2*(2*s + 1)**2/5
Let z(j) be the third derivative of 11*j**5/60 - 8*j**4 + 60*j**3 - 39*j**2. Let d(p) = -39*p**2 + 672*p - 1260. Let r(h) = -5*d(h) - 18*z(h). Factor r(x).
-3*(x - 30)*(x - 2)
Let t(n) be the third derivative of -n**6/240 + 2*n**5/5 + 49*n**4/48 + 2938*n**2. Factor t(f).
-f*(f - 49)*(f + 1)/2
Let q = 18399/8 - 54413/24. Let 16*j - 8/3 - q*j**3 - 14*j**2 = 0. What is j?
-1, 2/7
Let p = 6228 + -6223. Let m(t) be the third derivative of -1/12*t**p - 13*t**2 - 5/6*t**4 + 0 - 10/3*t**3 + 0*t. Suppose m(l) = 0. What is l?
-2
Let s(g) be the first derivative of -g**3/5 + 573*g**2/10 - 114*g - 106. Suppose s(c) = 0. Calculate c.
1, 190
Let a = -111896 + 447591/4. Factor -4*r + 1 + a*r**2.
(r - 2)*(7*r - 2)/4
Let w be 2 - (360/(-21))/1. Let k = w + -614/35. Factor 4/15*m**3 + 8/15 + 6/5*m**2 + k*m.
2*(m + 2)**2*(2*m + 1)/15
Suppose 4649 = 807*o + 1421. Factor 3*k**o + 0 + 0*k**2 - 3/2*k**5 + 9/2*k**3 + 0*k.
-3*k**3*(k - 3)*(k + 1)/2
Let f(y) be the third derivative of -y**5/210 + 149*y**4/84 - 148*y**3/21 + 69*y**2 + y - 8. Factor f(x).
-2*(x - 148)*(x - 1)/7
Let b(k) be the second derivative of -56/3*k**3 + 154 - k + 0*k**2 + 1/3*k**4. Factor b(m).
4*m*(m - 28)
Let r be 19633/(-43587) - 8/(-18). Let d = 343/1503 + r. Let 2/3*w**4 + 4/9*w**3 + d*w**5 + 0 + 0*w**2 + 0*w = 0. Calculate w.
-2, -1, 0
Let j = 62835/8 + -62833/8. Solve -j + 9/8*z + 5/8*z**2 = 0 for z.
-2, 1/5
Suppose -1488/17*x + 288/17*x**2 + 1922/17 = 0. Calculate x.
31/12
Suppose 2*x = -2*x + 52. Suppose 2*z - 1 = -2*r + x, -2*z + 24 = 4*r. Factor 0*p - 3/2*p**z + 0.
-3*p**2/2
Let v(m) = -15*m**4 + 140*m**3 + 467*m**2 + 188*m - 122. Let o(f) = -8*f**2 - 2311 + f + 7*f**2 + 2312. Let y(w) = -2*o(w) - v(w). Find j such that y(j) = 0.
-2, -1, 1/3, 12
Let a(t) be the first derivative of t**4/3 - 19*t**3/3 + 9*t**2 - 45*t - 215. Let g(w) be the first derivative of a(w). Factor g(o).
2*(o - 9)*(2*o - 1)
Let p(t) = -t**4 + t**3 - t**2 - t. Let y(o) = 5*o**5 + 26*o**4 + 42*o**3 - 12*o**2 - 47*o - 18. Let g(h) = 2*p(h) - y(h). Let g(x) = 0. What is x?
-3, -2, -1, -3/5, 1
Let p(l) be the first derivative of -l**6/360 - 7*l**5/60 + 5*l**4/8 - 34*l**3 - 13. Let u(z) be the third derivative of p(z). Factor u(x).
-(x - 1)*(x + 15)
Let g(f) be the third derivative of 26/255*f**5 - 1/17*f**4 + 0*f**3 + 1/714*f**8 + 0*f + 4/595*f**7 - 39*f**2 - 21/340*f**6 + 2. Let g(p) = 0. What is p?
-6, 0, 1/2, 2
Let u = -475 + 477. Determine k so that 36 + 331*k**2 - 114*k**2 + 12*k - 113*k**2 - 107*k**u = 0.
-2, 6
Suppose 36*d - 12*d - 136824 = 0. Factor -5696*v**2 + 59 - 14 + 30*v + d*v**2.
5*(v + 3)**2
Let r(s) be the first derivative of 2*s**6/3 + 24*s**5/5 + 9*s**4 + 16*s**3/3 - 3343. Factor r(c).
4*c**2*(c + 1)**2*(c + 4)
Let h(d) be the second derivative of -d**4/18 - 266*d**3/9 + 89*d**2 + 3*d - 58. Let h(o) = 0. Calculate o.
-267, 1
Find a such that -167042*a + 96550276/3 + 289*a**2 - 1/6*a**3 = 0.
578
Let s = -205 - -207. Suppose -10*h**s + 5 