*z - 33788. Let u be f(10). Let -56/5 - 2/5*o**u - 22/5*o = 0. What is o?
-7, -4
Let t be ((-7055)/(-153) - 46)*3. Determine d, given that 5/3 - 4/3*d - t*d**2 = 0.
-5, 1
Let w(p) = 246*p**4 + 122*p**3 + 464*p**2 - 604*p + 206. Let f(o) = -4*o**4 - 4*o**3 + o**2 - o + 1. Let h(z) = 124*f(z) + 2*w(z). Factor h(n).
-4*(n - 2)*(n - 1)**2*(n + 67)
Suppose 0 = -k + 3*h - 11, 20*k = 19*k - 4*h + 17. What is c in -k + 1 - 33*c**2 - 15*c + 0*c + 38*c**2 = 0?
0, 3
Let d = 131013/55 - 26196/11. Suppose -27/5*c - d*c**2 - 24/5 = 0. Calculate c.
-8, -1
Let x(q) = -35 - q**3 + 14*q + 0 - 15*q**2 + 7. Let t be x(-16). Factor t*k**2 - 4*k**2 + 5*k**2 - 4*k**3 + 12*k + 3*k**2.
-4*k*(k - 3)*(k + 1)
Let c(a) = 2*a**2 + 19*a - 1. Let k be c(11). Factor -283 + 5159 + k*g + 5249 + 6*g**2 - g**2.
5*(g + 45)**2
Let h(z) = -5*z**5 + z**4 + 5*z**3 + 3*z**2 - 4*z - 4. Let b(i) = -i**5 + i**4 + i**3 - i**2 - i. Let t = -109 + 105. Let a(c) = t*b(c) + h(c). Factor a(k).
-(k - 1)**2*(k + 1)*(k + 2)**2
Let x(i) be the second derivative of -8*i**7/105 - 124*i**6/75 - 257*i**5/100 + 1583*i**4/15 + 91*i**3/10 - 3042*i**2/5 - 23*i + 91. Find a such that x(a) = 0.
-39/4, -1, 1, 4
Let h(x) be the second derivative of x**6/180 + x**5/30 + x**4/12 + x**3/9 - 37*x**2/2 - 2*x + 3. Let d(g) be the first derivative of h(g). Factor d(a).
2*(a + 1)**3/3
Suppose -271 = -82*p + 139. Let w(r) be the first derivative of 19/16*r**4 - 1/2*r**2 + 1/3*r**3 + 22 + 0*r + 7/10*r**p + 1/8*r**6. Solve w(x) = 0.
-2, -1, 0, 1/3
Suppose 75*a = 87*a. Suppose a = 237*j - 241*j. Suppose 5/6 + j*l - 5/6*l**2 = 0. Calculate l.
-1, 1
Suppose -3*y = -3*z + 118 - 124, 3*y + 8 = -4*z. Factor -2/15*j**2 - 2/5*j**3 + 8/15*j**4 + 0 + y*j.
2*j**2*(j - 1)*(4*j + 1)/15
Suppose 3641*f - 3985*f + 9288 = 0. Factor 6 + f*o + 45/2*o**2 + 21/4*o**3.
3*(o + 2)**2*(7*o + 2)/4
Let t(o) be the third derivative of -o**5/48 - 35*o**4/24 - 65*o**3/6 - 1270*o**2. Determine r so that t(r) = 0.
-26, -2
Let r(w) = 92*w**3 + 14*w + 2 - 2*w - 87*w**3 + 12*w**2. Let u(i) = -6*i**3 - 12*i**2 - 10*i. Let b(x) = -4*r(x) - 3*u(x). Factor b(g).
-2*(g + 1)**2*(g + 4)
Let v = -348 - -351. Determine h, given that -2*h**3 - 2*h**2 - 25 - 3*h**4 - v*h**3 + 25 = 0.
-1, -2/3, 0
Let b be 15 + 1 - ((-37858)/(-506) - 59). Let m = 6 - 6. Determine v, given that -b*v**4 + 4/11*v**2 - 2/11 + m*v**3 + 0*v = 0.
-1, 1
Let t be ((-1)/(-10))/(-18 + (-109)/(-6)). Let p(o) be the first derivative of 0*o**3 - 3*o**2 + t*o**5 + 3/2*o**4 - 3*o - 6. Suppose p(k) = 0. Calculate k.
-1, 1
Suppose 1 = 17*y - 12*y + p, 0 = -y + 5*p + 47. Find a such that -2*a + 0 - 1/2*a**3 + y*a**2 = 0.
0, 2
Let c(j) be the second derivative of 1/10*j**5 - 1/5*j**4 + 4 - 4/15*j**3 - 1/75*j**6 + 8/5*j**2 + j. Let c(r) = 0. What is r?
-1, 2
Factor 25224*r + 6*r**2 + 5215 - 20004*r - r**2.
5*(r + 1)*(r + 1043)
Factor 0*b**2 + 204 - 14*b**2 - 29*b - 153*b + 2*b**3 + 7*b**2 - 17*b**2.
2*(b - 17)*(b - 1)*(b + 6)
Let o = 947551808/88833 + 64/29611. Suppose -1/3*b**4 - 800*b**2 - o*b - 160000/3 - 80/3*b**3 = 0. What is b?
-20
Let w(p) be the second derivative of -p**4/18 + 760*p**3/9 - 144400*p**2/3 - 40*p + 1. Factor w(d).
-2*(d - 380)**2/3
Find m such that -106 - 182 + 43*m**3 - 6096*m - 215*m**3 + 2889*m**2 - 833*m**2 = 0.
-2/43, 6
Let a be (31/(-4) + (-476)/(-68))/(2/(-8)). Let o(w) be the third derivative of 0*w + 0*w**a + 1/25*w**6 + 0 - 16*w**2 + 7/150*w**5 + 1/60*w**4. Factor o(q).
2*q*(3*q + 1)*(4*q + 1)/5
Let r = -1698 + -1710. Let w be ((-142)/r)/((-2)/(-54)). Determine k, given that w*k + 3/4*k**2 - 3/4 = 0.
-2, 1/2
Let k be (-144)/120 - 84/(-45). Solve k + 0*x - 2/3*x**2 = 0.
-1, 1
Let c(k) be the third derivative of -1/360*k**6 + 0*k + 0 + 3/2*k**3 + 13/600*k**5 + 1/20*k**4 + 14*k**2. Let s(m) be the first derivative of c(m). Factor s(j).
-(j - 3)*(5*j + 2)/5
Factor -2/3*t**3 + 4/3*t**2 + 10/3*t - 4.
-2*(t - 3)*(t - 1)*(t + 2)/3
Suppose 1372512*f + 244296/7*f**2 + 6/7*f**4 + 9365376/7 + 2094/7*f**3 = 0. Calculate f.
-116, -1
Find g, given that -48/5*g**4 + 297/5*g**3 - 144 - 888/5*g**2 + 3/5*g**5 + 1284/5*g = 0.
2, 3, 4, 5
Factor 3403 - 860 - 5*w**3 + 1620 + 1597 + 160*w**2 - 1680*w.
-5*(w - 12)**2*(w - 8)
Let z(s) be the second derivative of 0 + 1/20*s**5 - 1/6*s**3 - 1/90*s**6 - 5*s + 1/3*s**2 - 1/36*s**4. Factor z(t).
-(t - 2)*(t - 1)**2*(t + 1)/3
Let u(v) = v**3 - 7*v**2 - 2*v. Let b(s) = 2 + 2*s - 2*s**3 - 2 + 8*s**2. Let p = -13786 - -13790. Let r(t) = p*u(t) + 3*b(t). Determine q, given that r(q) = 0.
-1, 0
Factor 1010/7*x - 2900/7 - 6/7*x**3 - 8*x**2.
-2*(x - 5)**2*(3*x + 58)/7
Factor -20*u**4 + 72339 + 2*u**5 + 8*u**3 + 2*u**5 + 32*u**2 - 72339.
4*u**2*(u - 4)*(u - 2)*(u + 1)
Let k be 8 - (12*3/(-12) + (-190)/60*2). Factor -3*v**2 + 16*v - k - 1/3*v**3.
-(v - 2)**2*(v + 13)/3
Let t be (-58 - -88)*5/30. Let i(g) be the second derivative of -16*g + 0 + 4/25*g**t + 1/10*g**2 + 2/15*g**4 - 7/30*g**3. Factor i(w).
(w + 1)*(4*w - 1)**2/5
Let f = -73 + 93. Let i be 34/(-85) - (-32)/f. Suppose 9/5*g - 21/5*g**2 + i - 9/5*g**3 + 3*g**4 = 0. What is g?
-1, -2/5, 1
Let p(t) be the second derivative of 1 - 4/51*t**4 - 19/51*t**3 - 3*t - 12/17*t**2 - 1/170*t**5. Factor p(j).
-2*(j + 1)*(j + 3)*(j + 4)/17
Let j(i) = 4*i**2 + 6*i - 6. Let d(k) = 3*k**2 + 7*k**2 - 7 - 5*k**2 + 7*k. Let c(y) = 6*d(y) - 7*j(y). Factor c(f).
2*f**2
Factor 93*k**2 + 87374 + 134*k**2 - 13229*k + 71*k**2 - 2*k**3 - 1465*k + 32*k**2.
-2*(k - 79)**2*(k - 7)
Let c = -89 - -92. Let l(z) = 7*z**3 - 25*z**2 + 18*z + 4. Let o(r) = 6*r**3 - 24*r**2 + 18*r + 3. Let y(m) = c*l(m) - 4*o(m). Factor y(f).
-3*f*(f - 6)*(f - 1)
Let i(j) be the second derivative of 0 + 1/6*j**4 + 8*j**2 + 68*j + 2*j**3. Determine t, given that i(t) = 0.
-4, -2
Let q(d) be the third derivative of 0 + 1/40*d**6 - 1/140*d**7 + 0*d**3 + 12*d**2 - 1/40*d**5 + 0*d**4 - 2*d. Let q(a) = 0. Calculate a.
0, 1
Let y be 10/(-6)*711/24. Let q = y - -199/4. What is x in 0*x**2 + 3/4*x**4 + 0*x**3 + 0 - q*x**5 + 0*x = 0?
0, 2
Let j(z) be the second derivative of -z**6/45 + 3*z**5/10 + 5*z**4/6 - 53*z**3/9 + 10*z**2 + 379*z - 1. Let j(f) = 0. What is f?
-3, 1, 10
Let u = 5830101/11 + -530009. Factor 0*p**2 + 0*p**4 + 0*p + 0 + u*p**5 - 8/11*p**3.
2*p**3*(p - 2)*(p + 2)/11
Let f(z) be the first derivative of z**4 - 56*z**3/3 - 182*z**2 - 304*z - 1026. Solve f(j) = 0.
-4, -1, 19
Let f be (-48)/(-36)*1 - 21/((-252)/8). Suppose -15*b**3 - 147*b - 189/2*b**f + 1029/4 - 3/4*b**4 = 0. What is b?
-7, 1
Let d(u) be the second derivative of -144*u**3 - 92/15*u**5 + 288*u**2 - 1/63*u**7 + 81*u + 0 + 22/45*u**6 + 40*u**4. Factor d(y).
-2*(y - 6)**3*(y - 2)**2/3
Let -189685*q - 2*q**3 + 7308*q**2 + 8861*q**2 - 52215 + 59926*q**2 + 20*q**4 - 2413*q**3 = 0. Calculate q.
-1/4, 3, 59
Solve 0 + 21/5*c**2 - 3/5*c**3 + 0*c = 0.
0, 7
Factor -36*n**2 + 0 - 540*n - 3/5*n**3.
-3*n*(n + 30)**2/5
Let v(y) be the first derivative of y**4/30 - 34*y**3/45 - 58*y**2/15 - 16*y/3 - 11113. Suppose v(u) = 0. What is u?
-2, -1, 20
Let k = 1017 + -673. Find l such that -5*l + 352 - k - 2*l**2 + 7*l**3 - 7*l - l**5 = 0.
-2, 1, 2
Let t(n) = -3*n - 25. Let p be t(-10). What is l in l + 27*l - p*l**2 - l + 10*l - 35 + 3*l = 0?
1, 7
Factor 633/7*b - 3/7*b**3 - 660/7 + 30/7*b**2.
-3*(b - 20)*(b - 1)*(b + 11)/7
Let i(n) be the second derivative of n**6/6 - 9*n**5/4 - 235*n**4/12 - 105*n**3/2 - 65*n**2 - 5*n + 212. Factor i(l).
5*(l - 13)*(l + 1)**2*(l + 2)
Let x(r) be the first derivative of 2*r**5/35 - 31*r**4/14 + 212*r**3/7 - 1152*r**2/7 + 1728*r/7 - 297. Suppose x(s) = 0. What is s?
1, 6, 12
Let q be 7 - 1 - (141/36 - (-2)/24). Let z(o) be the first derivative of 1/5*o**5 + 0*o**q - 9 - 2/3*o**3 + o + 0*o**4. Suppose z(x) = 0. What is x?
-1, 1
Suppose -6 = 14*x - 15*x. Let t be (4/(-7))/(x/(-21)). Let 10 + 4*s + 31*s**t + 16*s - 26*s**2 + 10 = 0. Calculate s.
-2
Let l be (-51 + (-16043)/(-305))/((-8)/(-10)). Find f, given that 2/7*f**l - 24/7*f + 72/7 = 0.
6
Let s = -1062613 - -1062615. Factor 24/5 - 6/5*k**s - 36/5*k + 9/5*k**3.
3*(k - 2)*(k + 2)*(3*k - 2)/5
Let m(h) be the first derivative of -290*h**3/9 + 292*h**2/3 - 8*h/3 - 1181. Determine t, given that m(t) = 0.
2/145, 2
Find z, given that -27 - 21/4*z - 1/4*z**2 = 0.
-12, -9
Let g be (-90)/(-75)*(-121)/(-726). Factor g*p + 1 - 1/5*p*