 = 0.
-33, -1, 1
Let b(j) be the first derivative of -j**4/36 - 80*j**3/9 - 238*j**2/9 + 618. Factor b(c).
-c*(c + 2)*(c + 238)/9
Let t = 472/567 + 2/81. Let r = -173041/7 - -24721. Determine u, given that -r - 16/7*u + t*u**2 = 0.
-1/3, 3
Find b such that -5/4*b**5 - 4675/2*b + 27679/8*b**2 + 703/8*b**4 + 867/2 - 3285/2*b**3 = 0.
3/10, 1, 34
Suppose -2*h = 5*j - 20, 4*j - 33 = -h - 4*h. Let k be 58/116*132/h. Let -27/5*l + 0 + k*l**4 - 156/5*l**3 + 126/5*l**2 - 9/5*l**5 = 0. What is l?
0, 1/3, 1, 3
Let c = -467 + 483. Factor -c*w + 4*w**3 - 9 - 5*w**2 - w**2 - 4 + 5 + 2*w**4.
2*(w - 2)*(w + 1)**2*(w + 2)
Let z(a) be the first derivative of 3*a**5/35 + 9*a**4/28 - 45*a**3/7 - 75*a**2/2 - 2696. Factor z(c).
3*c*(c - 7)*(c + 5)**2/7
Suppose 8 + 38 = 23*q. What is r in 9*r - 11*r**2 + 0*r + 7*r**2 + 3*r**2 - q - 6 = 0?
1, 8
Let b(u) be the first derivative of -4*u**5/5 - 288*u**4 + 1160*u**3 - 1744*u**2 + 1164*u - 1647. Factor b(k).
-4*(k - 1)**3*(k + 291)
Let x = -457 + 583. Factor 18 - x*t**3 + 51*t + 28*t**2 + 101*t**3 - 8*t**2.
-(t - 2)*(5*t + 3)**2
Let f(l) be the first derivative of -l**3/12 - 195*l**2/8 - 475*l/2 - 4053. Factor f(u).
-(u + 5)*(u + 190)/4
Let t(p) be the first derivative of -p - 3/8*p**4 + 3/4*p**2 - 124 + 1/6*p**3 + 1/10*p**5. Factor t(v).
(v - 2)*(v - 1)**2*(v + 1)/2
Factor -340*m**2 - 4*m**4 - 25149 + 25149 + 64*m**3 + 600*m.
-4*m*(m - 6)*(m - 5)**2
Let v = 1414 - 1568. Let b be ((-2)/16)/(((-245)/v)/(-35)). Solve -7/12*x**4 - 3/4*x**3 - 11/12*x - 1/2 + b*x**2 = 0 for x.
-3, -2/7, 1
Let h = 3689/11 + -335. Let s be 6/(-54) - 15272/(-18216). Suppose -8/11*g**4 + 10/11*g + h + 4/11*g**2 - 2/11*g**5 - s*g**3 = 0. What is g?
-2, -1, 1
Let g(h) = -38*h**3 + 118*h**2 + 296*h + 164. Let m(b) = -16*b**3 + 47*b**2 + 118*b + 65. Let f(j) = -5*g(j) + 12*m(j). Let f(z) = 0. Calculate z.
-10, -2, -1
Let v(y) be the first derivative of -y**4/48 - 7*y**3/24 - 3*y**2/4 + 65*y - 77. Let f(s) be the first derivative of v(s). Factor f(c).
-(c + 1)*(c + 6)/4
Let k = -29/527 + 3307/2635. Factor -4/5 - k*q - 2/5*q**2.
-2*(q + 1)*(q + 2)/5
Let q(f) be the second derivative of -1/210*f**7 - 5/6*f**3 - 4/75*f**6 - 3/50*f**5 + 2/3*f**4 + 0*f**2 + 21 - 5*f. Factor q(r).
-r*(r - 1)**2*(r + 5)**2/5
Let q be (-7)/(-2)*112/49. Let a be 3 + q/(-3) - 17/51. Factor -2/11*i**3 + 2/11*i**2 + a + 0*i.
-2*i**2*(i - 1)/11
Let b be (-3132)/(-84) + -16 - 7. Let j(x) be the second derivative of 625/7*x**4 - b*x**3 - 3125/14*x**5 + 0 - 14*x + 8/7*x**2. Factor j(k).
-2*(25*k - 2)**3/7
Let b(t) be the first derivative of 4/9*t + 34 - 1/9*t**2 - 2/27*t**3. Factor b(w).
-2*(w - 1)*(w + 2)/9
Factor -6*c**2 - 861*c**3 - 26*c**2 + 859*c**3 - 120*c**2.
-2*c**2*(c + 76)
Let u(s) = 3*s**2 - 32*s - 248. Let c(h) = 5*h**2 - 64*h - 498. Let g be 0 - 1 - (1 + -6). Let r(o) = g*c(o) - 7*u(o). Factor r(y).
-(y + 16)**2
Let j(m) = m. Let s(x) = 28*x**2 + 22*x. Let y(c) = -10*j(c) + s(c). Let g(d) = -10*d**2 - 4*d. Let h(z) = -7*g(z) - 2*y(z). Determine t so that h(t) = 0.
-2/7, 0
Suppose -7*v + 59 = 31. Let a be 1 + (-6)/12*v + 3. Factor -2/5 - 8/5*c - 8/5*c**a.
-2*(2*c + 1)**2/5
Let i = 451 + -452. Let g(o) = 9*o**3 + 9*o**2 - 39*o. Let l(p) = -p**4 + p**2 + p. Let t(b) = i*g(b) - 3*l(b). Solve t(y) = 0 for y.
-2, 0, 2, 3
Let i be (3 - (-21)/(-6))*-4*1. Suppose -i*u - 12*p + 8*p = 12, -u = -5*p - 22. Suppose 4/19 - 2/19*v**3 - 10/19*v + 8/19*v**u = 0. What is v?
1, 2
Let t = -513814 - -1027629/2. Let k be -1 - -1 - 12/(-16). Determine c, given that t + 0*c**2 + k*c - 1/4*c**3 = 0.
-1, 2
Suppose 371*j = 378*j. Let y(r) be the first derivative of -3 + 2*r + j*r**2 - 2/3*r**3. Solve y(v) = 0.
-1, 1
Suppose 0 = 5*v - 5*c - 22 + 27, 0 = -3*v + 5*c - 13. Let s(b) be the first derivative of 8/7*b + 12 - 25/14*b**v + 10/21*b**3 + 16/7*b**2. Factor s(h).
-2*(h - 1)*(5*h + 2)**2/7
Let r be (-1*2/(-4))/(187/748). Factor 29*x**3 - 242*x**r + 7*x**2 + 28*x**2 + 15*x**4 + x**5 + 162*x.
x*(x - 2)*(x - 1)*(x + 9)**2
Let d be ((17 + 8 + -29)*(-5)/(-12))/((-770)/252). Solve -10/11*h**2 + 8/11 + d*h**3 + 2/11*h**4 - 6/11*h = 0 for h.
-4, -1, 1
Let y be 4 + 1 - (81 + (-40)/(-5)). Let j be (28/y)/((-3)/36). Determine k, given that 0 - 4*k**2 + 4*k**3 - 4/3*k**j + 4/3*k = 0.
0, 1
Let v be (620/217)/((-3)/(-21)). Let x be 10/v - (2 - 2). Factor -x*p**2 - 4 + 9/2*p.
-(p - 8)*(p - 1)/2
Suppose 4 + 0 = 2*z, 3*z + 122 = 4*y. Let u(j) = 28*j - 59*j + y*j. Let d(k) = k**3 + 3*k**2 + 5*k + 1. Let r(c) = -d(c) + 2*u(c). Find p such that r(p) = 0.
-1
Let l(i) be the first derivative of -2/3*i**3 + 22*i**2 + 46*i + 264. Factor l(t).
-2*(t - 23)*(t + 1)
Let o(q) be the third derivative of -q**7/1155 + 17*q**6/66 - 6697*q**5/330 - 340*q**4 - 2112*q**3 - 8673*q**2. Factor o(i).
-2*(i - 88)**2*(i + 3)**2/11
Find f such that -77*f**2 + 50*f**3 - 90*f - 23*f**3 + 22*f**2 - 32*f**3 = 0.
-9, -2, 0
Let b(g) be the second derivative of g**4/36 + 110*g**3/9 - 74*g**2 + 5423*g. Factor b(q).
(q - 2)*(q + 222)/3
Suppose -76*d - 7536227 = -7536455. Suppose -32/3*l**d + 0 + 80/3*l**2 - 50/3*l = 0. What is l?
0, 5/4
Let m(l) = -13407*l + 26816. Let w be m(2). Suppose 1416/5*z + 410758/5*z**3 + 16/5 + 41772/5*z**w = 0. Calculate z.
-2/59
Let m(r) = -6*r - 1. Let o be m(-1). Let q be (-66 - -65)*(-10)/2. Let 18*j**o - 5*j**2 + 2*j - 8*j**5 + 4*j**5 - 6*j**3 - 4*j**q + 11*j**4 = 0. What is j?
-1, 0, 2/5, 1/2
Let l(q) be the second derivative of q**4/22 + 89*q**3/33 + 58*q**2/11 + 2*q + 582. Find i, given that l(i) = 0.
-29, -2/3
Let b(r) be the first derivative of -5*r**4/4 - 25*r**3/3 + 230*r**2 + 480*r + 638. Let b(h) = 0. What is h?
-12, -1, 8
Factor -6*z**2 - 1257/2*z + 315/2.
-3*(z + 105)*(4*z - 1)/2
Let d(a) be the third derivative of -a**6/660 + a**5/165 + 5*a**4/44 + 99*a**2 - 2*a. Factor d(t).
-2*t*(t - 5)*(t + 3)/11
Let g(u) be the third derivative of -9*u**5/20 - 11*u**4/10 + u**3/10 + 537*u**2. Factor g(w).
-3*(w + 1)*(45*w - 1)/5
Factor 14/13*d**3 + 1438/13*d**2 - 412/13*d + 0.
2*d*(d + 103)*(7*d - 2)/13
Let a(n) = 74*n - 1 - 72*n + 0. Let z(c) = -2*c**2 + 6*c - 10. Let s(j) = -12*a(j) - 2*z(j). Determine f, given that s(f) = 0.
1, 8
Let r = -10321172179694/12855 + 802891652. Let i = r + 6/857. Factor -2/15*d**3 - 2/3*d**2 - i*d + 0.
-2*d*(d + 1)*(d + 4)/15
Let c(l) be the first derivative of -l**5/48 - 5*l**4/32 + 53*l**2/2 - 2*l + 117. Let p(k) be the second derivative of c(k). Factor p(h).
-5*h*(h + 3)/4
Let p(v) be the third derivative of -v**7/735 + 137*v**6/420 - 393*v**5/70 + 1161*v**4/28 - 1152*v**3/7 + v**2 - 8*v + 27. Factor p(u).
-2*(u - 128)*(u - 3)**3/7
Find p such that -269/3*p + 14 + 478/3*p**2 - 47*p**3 - 6*p**4 = 0.
-21/2, 1/3, 2
Let v = -389/18 - -1981/90. Let -v*r**4 - 8/5*r - 2/5 - 8/5*r**3 - 12/5*r**2 = 0. What is r?
-1
Suppose -3*o - 1526 = 4*k, -6*o + k = -11*o - 2532. Let p = 3548/7 + o. Factor -48/7 - 60/7*h**2 - p*h**3 - 102/7*h.
-6*(h + 1)**2*(h + 8)/7
Let s = -36820 - -36824. Let t(w) be the first derivative of 1/7*w**s - 24/7*w**2 + 16 + 288/7*w + 2/35*w**5 - 46/21*w**3. Find g, given that t(g) = 0.
-4, 3
Suppose 0 = 3*q + 4*w, 3*q + 2*w - 6 = -0*w. Suppose q*s = -2*n + 8, -3*s = -2*n + 7*n - 20. Suppose 0 + 20*t**2 + 3 + 0 - n*t**3 + 9 - 28*t = 0. Calculate t.
1, 3
What is t in -21999*t + 20079*t - 3*t**3 + 87*t**2 + 125*t**2 - 44*t**2 = 0?
0, 16, 40
What is a in -3331*a + 1520*a**2 - 2412*a + 504 + 100*a**3 + 7459*a = 0?
-14, -3/5
Let o(n) = 15*n - 29. Let j be o(5). Factor -5*s - 8 + 8 - j*s**2 + 51*s**2.
5*s*(s - 1)
Let c be 2 + 2/(-4)*6. Let a(s) = -6*s**3 - s**2 + s + 1. Let i be a(c). Solve f - 4*f**3 - 2*f + 8*f**2 + 2*f - i*f = 0.
0, 1
Suppose 4*o = -q + 1179, -q + 591 = 2*o - 0*q. Solve o + 1949 - 248*f + 4*f**2 - 266 + 1867 = 0.
31
Factor -198711*v**3 + 825*v + 198716*v**3 - 19*v**2 + 309*v**2.
5*v*(v + 3)*(v + 55)
Let a(y) be the first derivative of 2*y**5/15 - 4*y**4/3 + 2*y**3 + 38*y**2/3 - 80*y/3 + 3099. Let a(n) = 0. Calculate n.
-2, 1, 4, 5
Let z(q) = 9*q**2 + 1972*q - 1758. Let u be z(-220). Determine g, given that 24/5*g + 2/5*g**u + 8 = 0.
-10, -2
Let c be ((-9)/((-1350)/(-276)) - -2)*(-425)/(-170). Find r, given that -c*r**2 + 0 - 2/15*r**3 - 4/15*r = 0.
-2, -1, 0
Let y(c) = -18*c**2 + 133*c + 1296. Let d be (-22)/(-2)*(68 + -67). Let a(m) = 10*m**2 - 66*m - 648. 