 345*l**2 - 1. Solve i(k) = 0 for k.
-6, 1, 2
Let d = 153/56 + -58477/56. Let g = d - -1079. Let 3/2*r**3 + 0 - 15*r**2 + g*r = 0. What is r?
0, 5
Let t(q) be the first derivative of -7 - 1/8*q**4 - 3/40*q**5 + 0*q**3 + 0*q**2 - 14*q. Let w(a) be the first derivative of t(a). Factor w(z).
-3*z**2*(z + 1)/2
Let w(v) be the first derivative of 4*v**5/5 + 1400*v**4 + 651464*v**3 - 1962800*v**2 + 1965604*v - 1720. Solve w(i) = 0.
-701, 1
Let j(v) = -5*v**3 - 16*v**2 - 29*v. Let k(h) = 4*h**3 + 16*h**2 + 30*h. Let u = 4 + -4. Suppose u = -4*w - 35 + 23. Let m(d) = w*k(d) - 2*j(d). Factor m(o).
-2*o*(o + 4)**2
Suppose -135*c = -120*c - 9000. Factor -w**4 - 573*w**2 + 116 + 1074*w - c + 46*w**3 - 62*w.
-(w - 22)**2*(w - 1)**2
Find a, given that 18226*a**2 - 36380*a**2 - 2*a - 36*a**3 + 12*a**3 + 18217*a**2 + 3*a**4 - 52*a = 0.
0, 2, 3
Suppose 0 + 1/3*p**2 + 85/3*p = 0. Calculate p.
-85, 0
Let y(j) be the second derivative of 4*j**6/5 + 7*j**5/5 + 12602*j. Suppose y(u) = 0. Calculate u.
-7/6, 0
Factor 5/4*q**3 + 270 - 2155/4*q + 535/2*q**2.
5*(q - 1)**2*(q + 216)/4
Let w(k) = 3*k**2 - 2280*k - 426381. Let n(b) = b**2 - 3*b + 1. Let p(i) = 6*n(i) - w(i). Find x, given that p(x) = 0.
-377
Let q(a) = -5*a**2 - 17*a - 15. Let h(y) = -6*y**2 - 18*y - 16. Suppose 631*m = 626*m + 20. Let w(r) = m*q(r) - 3*h(r). Solve w(u) = 0 for u.
-6, -1
What is a in -2158/3*a**2 - 968/3 - 16*a**4 - 665/3*a**3 - 836*a - 1/3*a**5 = 0?
-22, -2, -1
Factor 747*f**2 - 1493*f**2 + 748*f**2 - 7*f - 4*f**4 + f + 14*f**3 - 6*f**4.
-2*f*(f - 1)**2*(5*f + 3)
Let a = 5403 - 5400. Let j(x) be the second derivative of -1/40*x**5 + 1/12*x**a - 1/60*x**6 + 1/24*x**4 + 0*x**2 + 19*x + 0. Determine w so that j(w) = 0.
-1, 0, 1
Factor 1 + 40*o**2 - 10927*o - 5*o**3 + 11027*o - 1.
-5*o*(o - 10)*(o + 2)
Let k(a) be the third derivative of a**5/15 - 274*a**4/3 + 728*a**3 + 5278*a**2. Factor k(u).
4*(u - 546)*(u - 2)
Let j(r) = 38*r + 1105. Let t be j(-29). Let q(m) be the first derivative of 2/5*m**5 - m**4 + 0*m**t + 0*m - 1 + 0*m**2. Find b such that q(b) = 0.
0, 2
Let q(l) be the first derivative of 3*l**4/16 + 1353*l**3/4 + 1370925*l**2/8 - 1374987*l/4 + 3853. Solve q(g) = 0.
-677, 1
Let z(c) be the second derivative of -c**4/72 - 31*c**3/12 - 1988*c + 2. Suppose z(l) = 0. What is l?
-93, 0
Let z = 34 - 19. Suppose 3*q - z = -5*r, -2*q + 0*q = -5*r + 40. Find a, given that 7*a**4 - 4*a**3 - 10*a**2 + r*a**3 - 4*a**3 - 5*a**4 - 6*a = 0.
-1, 0, 3
Let h(u) be the first derivative of -u**6/21 + 8*u**5/35 + 2*u**4/7 - 68*u**3/21 + 45*u**2/7 - 36*u/7 - 14446. Suppose h(r) = 0. Calculate r.
-3, 1, 2, 3
Let r(t) = -t**3 + 5*t**2 + 15*t - 47. Let d be r(10). Let y = -394 - d. Factor -2/17*c**y - 2/17*c - 4/17*c**2 + 0.
-2*c*(c + 1)**2/17
Let b be ((-465)/124)/((-77)/40 + 2). Let m be -9 - (930/b + 8). Factor 28/5*p + m*p**2 + 12/5.
4*(p + 3)*(2*p + 1)/5
Suppose 164*j - 1320 = -100*j. Let x(l) be the third derivative of 24*l**2 + 0 + 0*l + 5/8*l**3 + 9/32*l**4 - 1/160*l**6 + 3/80*l**j. Let x(p) = 0. What is p?
-1, 5
Let o = 64 + -64. Factor -56*g - 8 + 8*g**2 - 4*g**3 + 60*g + o + 0*g**3.
-4*(g - 2)*(g - 1)*(g + 1)
Let y(c) = c**3 + c**2 - c - 1. Let m(h) = -120*h - 7 - 4*h**2 + 9 + 118*h. Let i = -31 - -29. Let t(n) = i*m(n) - 4*y(n). Factor t(d).
-4*d*(d - 2)*(d + 1)
Solve -2099211 - 32*w**3 - 4541508 + 11778620*w + 36*w**3 - 8294723 + 3143086 + 13732*w**2 = 0.
-1717, 1
Let d = 66417/14 + -199223/42. Solve -d*y**5 + 8/3*y**3 - 2*y + 4/3*y**2 + 0 - 4/3*y**4 = 0.
-3, -1, 0, 1
Let p be (24/160)/((-2)/668). Let q = 253/5 + p. Factor -1/2*k**3 + q*k**2 + 1/2*k - 1/2.
-(k - 1)**2*(k + 1)/2
Let i = 99 - 97. Suppose -6*x**2 + 0*x**2 - 20*x - 2*x**2 - x**i - 4 = 0. Calculate x.
-2, -2/9
Let i = -17 - -45. Suppose -r + i = 2*p + r, 2*r = 5*p - 105. Factor -12 + 103*c - p - 49*c - 10*c**2 + 11.
-2*(c - 5)*(5*c - 2)
Let y(j) = -7*j**4 + 63*j**3 - 135*j**2 + 74*j - 25. Let t(h) = 30*h**4 - 252*h**3 + 540*h**2 - 297*h + 105. Let a(s) = -5*t(s) - 21*y(s). Factor a(g).
-3*g*(g - 1)**2*(g + 23)
Solve -57*q**2 - 30*q**3 + 8564*q**4 - 8569*q**4 - 30*q + 2*q**2 = 0.
-3, -2, -1, 0
Let d(a) = a**2 - a - 15. Let p be d(5). Let u(s) = s**3 - 7*s**2 + 6*s + 1. Let m be u(6). What is f in p*f - 18*f**2 + 13*f**2 + m - 1 = 0?
0, 1
Let y(i) be the third derivative of -i**2 - 13 - 1/20*i**5 - 1/40*i**6 + 0*i + 2*i**3 + 1/2*i**4. Factor y(j).
-3*(j - 2)*(j + 1)*(j + 2)
Let b be ((-1)/3)/(73/(-3942)). Let z be -4*171/(-132) - b/99. Solve 0*j**3 + 0*j**2 - 11/7*j**z - 2/7*j**4 + 0 + 0*j = 0.
-2/11, 0
Suppose -2*n - 4*f = -7*n + 68, 2*n = -5*f + 14. Suppose -n = 13*x - 64. Suppose 2/9*w**x + 0 + 2/9*w**5 - 2/9*w**3 - 2/9*w**2 + 0*w = 0. What is w?
-1, 0, 1
Let c = 207 + -205. Determine z so that 54 - 18*z - 5*z**c - 78 + 2*z**2 = 0.
-4, -2
Let x be 48 + -46 - (0 - (2 + -7)). Let l be (-31)/(-155) - 1/(5/x). Determine p so that -l*p**5 + 0*p**4 + 0*p**2 + 0*p + 0*p**3 + 0 = 0.
0
Let j(o) = -23*o - 300. Let m be j(-13). Let g be m - ((-132)/30 + (-1)/(-1)). What is t in 2 + 2/5*t**2 - g*t = 0?
1, 5
Let x(u) = -13*u**2 - 413*u + 843. Let w(o) = 6*o**2 + 206*o - 422. Let g(y) = -5*w(y) - 2*x(y). Determine b so that g(b) = 0.
-53, 2
Let d(s) be the first derivative of s**6/39 - 186*s**5/65 - 191*s**4/13 - 1156*s**3/39 - 387*s**2/13 - 194*s/13 + 2290. Factor d(g).
2*(g - 97)*(g + 1)**4/13
Let q = -2878 - -17273/6. Let n(f) be the first derivative of -7/12*f**4 + 1/15*f**5 + 2 + 11/9*f**3 + 0*f - q*f**2. Let n(m) = 0. What is m?
0, 1, 5
Let v be 5 + ((-24)/(-1))/(-8). Factor -3*m**3 + 48*m - 70*m - 31*m + 36*m**v - 55*m.
-3*m*(m - 6)**2
Suppose t + 5*s - 24 = 0, -3*s + 102 = 5*t - 84. Solve -t*y**2 + 48*y + 76*y**2 + 52 - 41*y**2 = 0 for y.
-1, 13
Let i(r) be the first derivative of -3/2*r**2 - 5/16*r**4 - 2*r + 17 + 3/2*r**3. Let i(j) = 0. What is j?
-2/5, 2
Let n(k) = k**3 + 9*k**2 - 132*k - 1181. Let w be n(-9). Factor 15 - w*c**4 + 20*c**2 - 1/2*c**5 - 73/2*c + 9*c**3.
-(c - 1)**3*(c + 2)*(c + 15)/2
Let b = 128528/7 + -1927696/105. Factor 8/15*l**5 - 2/15 + 14/15*l + 10/3*l**3 - 38/15*l**2 - b*l**4.
2*(l - 1)**3*(2*l - 1)**2/15
Let q(g) be the third derivative of -g**7/105 - 13*g**6/60 - 19*g**5/10 - 33*g**4/4 - 18*g**3 + 2807*g**2. Factor q(m).
-2*(m + 1)*(m + 3)**2*(m + 6)
Solve -1052*q - 150*q**3 - 24 + 564*q**2 + 2086*q**3 - 12004*q**2 = 0.
-1/22, 6
Factor -18/7*y + 1/7*y**2 - 495/7.
(y - 33)*(y + 15)/7
Let s(j) be the first derivative of 0*j + 0*j**3 + 0*j**2 + 2*j**4 + 4/5*j**5 + 65. Suppose s(h) = 0. What is h?
-2, 0
Let z(k) be the third derivative of 2*k**7/735 + k**6/105 - 13*k**5/35 + 34*k**4/21 - 64*k**3/21 - 3484*k**2. Factor z(b).
4*(b - 4)*(b - 1)**2*(b + 8)/7
Let j = 4299 - 4293. Let p(b) be the third derivative of j*b**2 + 0 - 1/70*b**7 + 1/4*b**4 + 1/10*b**6 + 0*b - 1/4*b**5 + 0*b**3. Solve p(n) = 0 for n.
0, 1, 2
Let j = -16738 + 66953/4. What is d in 1/4*d - 1/4*d**3 - j + 1/4*d**2 = 0?
-1, 1
Find s such that -423/4*s + 27 - 75/8*s**2 + 3/2*s**3 = 0.
-6, 1/4, 12
Let v = 217 + -5. Factor v*s**3 - 417*s + 29731 - 77*s**3 - 29713 + 264*s**2.
3*(s - 1)*(s + 3)*(45*s - 2)
Let b(i) = -i + 42. Let q be b(-12). Suppose 20*k - 101*k**4 + q*k**4 + 51*k**4 - 4*k**2 - 20*k**3 = 0. Calculate k.
-1, 0, 1, 5
Let o(d) = -5*d**3 + 44*d**2 - 336*d + 492. Let m(s) = -11*s**3 + 87*s**2 - 673*s + 987. Let h(v) = -4*m(v) + 9*o(v). Factor h(a).
-(a - 40)*(a - 6)*(a - 2)
Factor 51/7*d**4 + 0 - 3/7*d**5 + 0*d**2 + 0*d - 18*d**3.
-3*d**3*(d - 14)*(d - 3)/7
Let k = -6526 + 6528. Let b(r) be the first derivative of 13 - 98/9*r + 14/9*r**k - 2/27*r**3. Solve b(a) = 0.
7
Let g(f) = -30*f**2 + 1630*f - 20420. Let p(h) = -5*h**2 + 272*h - 3404. Let b(a) = -6*g(a) + 35*p(a). Factor b(y).
5*(y - 26)**2
Let q = 71 - 63. Factor -20*g**2 - 16*g**3 + 7*g - 15*g + q + 16*g + 20*g.
-4*(g - 1)*(g + 2)*(4*g + 1)
Let r(w) = 21*w**4 + 28*w**3 - 302*w**2 - 331*w + 11. Let b(g) = -4*g**4 - 6*g**3 + 60*g**2 + 66*g - 2. Let x(p) = 11*b(p) + 2*r(p). Solve x(q) = 0.
-8, -1, 0, 4
Let k(t) be the third derivative of -t**8/24 + 11*t**7/35 + 13*t**6/15 - 106*t**5/15 - 24*t**4 - 64*t**3/3 + 3*t**2 + 2. Suppose k(v) = 0. What is v?
-2, -1, -2/7, 4
Let p = -1375 - -1370. Let d be 1/5*-9 - (-8 - p). Let 42/5*s - 36/5 - d*s**2 = 0. What is s?
1, 6
Let u(m) = 2*m**3 +