*4 + 158*o = 0. Calculate o.
0, 1, 102
Let t be 11/((-88)/48) - -11. Suppose 424*c**t - 419*c**5 + c - c = 0. What is c?
0
Let i(s) = 17*s. Let h be i(0). Let l be (52 + -50)*((-2 - h) + 4). Determine x, given that 2/3*x**3 + 2/3*x**l - 2/3*x**2 - 2/3*x + 0 = 0.
-1, 0, 1
Let z = -645873/5 - -129176. Factor 0*d + 8/5*d**3 + 0*d**2 + z*d**5 - 6*d**4 + 0.
d**3*(d - 4)*(7*d - 2)/5
Let c(f) be the second derivative of -f**8/1344 + 2*f**7/63 - 5*f**6/48 - 41*f**4/2 + 166*f. Let x(z) be the third derivative of c(z). Factor x(m).
-5*m*(m - 15)*(m - 1)
Let n be ((-170)/20)/(15/(-14) - -1). Let q = -87 + n. Factor -q + 6*k**2 + 8*k**3 - 20*k**3 + 13*k**3.
(k - 2)*(k + 4)**2
Let b(l) be the third derivative of l**6/900 - 17*l**5/450 + 2*l**4/5 + 1836*l**2 + l + 1. Suppose b(j) = 0. Calculate j.
0, 8, 9
Suppose -5*o + 26 = -4*d, 3*d = 5*o - 8*o - 6. Let x be (d/(-32)*-2)/(2/(-24)). Factor -z**3 - 7*z - x*z**4 + 8*z**4 + 2*z + 6*z**3 - 5*z**2.
5*z*(z - 1)*(z + 1)**2
Let m be ((-7)/(-3))/1 - (-71 - (-425)/6). Find i such that -1/2*i**2 - 3 - m*i = 0.
-3, -2
Let 1124 - 594 + 5*c**2 - 25*c - 650 = 0. Calculate c.
-3, 8
Suppose -b - 5 = -0*b, c = 3*b + 27. Let 0*i**2 + 0*i**2 + c*i - 616 + i**2 + 627 = 0. Calculate i.
-11, -1
Let h(q) be the second derivative of 0*q**2 + 3/25*q**5 - 2*q + 24 + 3/20*q**4 + 1/50*q**6 + 0*q**3. Factor h(j).
3*j**2*(j + 1)*(j + 3)/5
Let s(z) be the first derivative of 39 + 1/4*z**3 + 15/2*z + 21/8*z**2. Find f such that s(f) = 0.
-5, -2
Let m(w) be the second derivative of 5/7*w**3 + 1/70*w**5 + 0 + 8/21*w**4 + 0*w**2 - 128*w. Suppose m(h) = 0. What is h?
-15, -1, 0
Let z(s) be the third derivative of -31*s**6/96 + 311*s**5/120 - s**4/12 + 15*s**2 - 44. Find d such that z(d) = 0.
0, 2/155, 4
Let u be 3384/96 - (33 + -18). Solve u + 9/2*y + 1/4*y**2 = 0 for y.
-9
Factor 0 - 36/5*k**2 + 32/5*k**3 + 4/5*k**4 - 288/5*k.
4*k*(k - 3)*(k + 3)*(k + 8)/5
Find v such that 712/7*v**2 - 4/7*v**3 - 33060/7*v + 121104/7 = 0.
4, 87
Let h(s) be the second derivative of -3*s**5/4 - 157*s**4/4 + 49*s**3 + 96*s**2 - 22*s + 97. Factor h(f).
-3*(f - 1)*(f + 32)*(5*f + 2)
Let y = -2114 + 2077. Let p be ((-70)/(-315))/(y/(-12) - 3). Factor 2/3*z**2 - p + 2/3*z**3 - 8/3*z.
2*(z - 2)*(z + 1)*(z + 2)/3
Solve 0*j + 9*j**3 + j**5 - 10*j - 2821*j**4 + 2814*j**4 + 7*j**2 + 0*j**2 = 0 for j.
-1, 0, 1, 2, 5
Let v = -157 + 159. Suppose 4*y + 0*p = v*p + 8, 0 = 5*y - p - 10. Solve -3/8*m**3 + 0 + 3/8*m + 0*m**y = 0 for m.
-1, 0, 1
Let m(x) be the third derivative of -2 - 1/35*x**5 - 1/56*x**4 - 1/70*x**6 - 3*x**2 + 0*x + 0*x**3. Solve m(t) = 0.
-1/2, 0
Let w be ((-44)/55)/((-14)/5). Let n be (48/(-40) + 4)*5*36/294. Factor -16/7*t**3 + 26/7*t**2 - n*t + 0 + w*t**4.
2*t*(t - 6)*(t - 1)**2/7
Let l(u) be the second derivative of u**6/30 + 7*u**5/12 - 49*u**4/24 + 5*u**3/3 + 23*u**2/2 + 6*u - 5. Let d(z) be the first derivative of l(z). Factor d(i).
(i - 1)*(i + 10)*(4*i - 1)
Let k(s) = 63*s**3 + 2310*s**2 + 4599*s + 2280. Let n(z) = -13*z**3 - 462*z**2 - 920*z - 456. Let v(m) = 5*k(m) + 24*n(m). Determine t, given that v(t) = 0.
-152, -1
Factor 120*q - 49/4*q**2 + 1/4*q**3 - 333.
(q - 37)*(q - 6)**2/4
Let -148/5 - 419/5*o**2 + 448/5*o - 3/5*o**4 + 122/5*o**3 = 0. Calculate o.
2/3, 1, 2, 37
Let k(o) be the third derivative of 0*o**3 + 98*o**2 - 1/80*o**6 + 3/8*o**4 + 1/8*o**5 + 0*o + 0. Solve k(j) = 0.
-1, 0, 6
Let v(r) be the first derivative of 16/3*r**3 + 5*r**2 - 100*r + 70 + 1/2*r**4. Factor v(u).
2*(u - 2)*(u + 5)**2
Suppose -2*j - 1 + 5 = 0, -2*j = x - 6. What is v in -2*v**2 + 4*v**3 + 9610*v**4 - 9608*v**4 - 6*v + x*v = 0?
-2, -1, 0, 1
Let a(w) = 4*w**3 - 9*w**2 + 7*w + 1. Let u be a(1). Suppose -46*m + 3 = u. Factor 0 + 2/7*k**2 + m*k - 1/7*k**3.
-k**2*(k - 2)/7
Factor -58*m + 96*m - 143*m**2 + 145*m**2.
2*m*(m + 19)
Let f be 5 - (4 + 2) - -10. Suppose 0 = -u - 7 + 2, -3*d = -2*u - 37. Factor 0 - 2 + 2*a**2 - f + d.
2*(a - 1)*(a + 1)
Let r(n) = -n + 3. Let c(f) = 4*f - 34. Let w be c(8). Let q be r(w). Let 1607*x**4 - 2*x**2 - 3*x**3 - 1604*x**4 + 3*x**q - x**2 = 0. Calculate x.
-1, 0, 1
Determine r so that 1/4*r**4 + 47*r + 87/4*r**2 + 4*r**3 + 35 = 0.
-7, -5, -2
Factor 1/3*c**2 + 185 + 116/3*c.
(c + 5)*(c + 111)/3
Let p(t) = 101*t - 2422. Let w be p(24). Let a(i) be the first derivative of -22/35*i**5 + 0*i + 6 + 4/21*i**3 - 9/14*i**4 + 0*i**w. Factor a(o).
-2*o**2*(o + 1)*(11*o - 2)/7
Suppose -680 = 13*o - 15*o. Suppose -5*i - 5*i = -o. Factor 16 - 24*s - 18 - i - 4*s**2.
-4*(s + 3)**2
Determine c, given that 31/6*c + 5 + 5/3*c**2 + 1/6*c**3 = 0.
-5, -3, -2
Let o(r) be the second derivative of -r**5/25 - 16*r**4/3 - 2798*r**3/15 - 528*r**2 - 3*r - 496. Factor o(t).
-4*(t + 1)*(t + 24)*(t + 55)/5
Let y be 2 - (-1 + 88/(-4)). Factor 41 + 15*t - 6*t**2 - 24 - t**3 + 0*t**3 - y.
-(t - 1)**2*(t + 8)
Solve 248*p**3 - 21*p**4 + 2455*p**2 + 14*p**4 - 758*p**3 + 19*p**4 - 2910*p - 7*p**4 = 0 for p.
0, 2, 3, 97
Let i(a) be the first derivative of -a**5/20 - 471*a**4/4 - 221841*a**3/2 - 104487111*a**2/2 - 49213429281*a/4 - 1451. Factor i(f).
-(f + 471)**4/4
Suppose -1570*a**2 - 1800*a**3 + 694/3*a + 4/3 = 0. What is a?
-1, -1/180, 2/15
Determine r, given that 2273*r**2 - 86*r**3 - 46*r**3 + 767 + 132*r + 2082*r**2 - 5696 + 573 + r**4 = 0.
-1, 1, 66
Let g(r) be the first derivative of -5*r**3/9 + 335*r**2/6 - 1064. Factor g(i).
-5*i*(i - 67)/3
Solve -6*n**3 - n**3 - 70*n**4 - 3*n**3 + n**5 + 67*n**4 = 0 for n.
-2, 0, 5
Let b(g) = g**2 - 892*g - 32443. Let f be b(-35). Find v such that -2/9*v + 2/9*v**3 + 2/9*v**f + 0 - 2/9*v**4 = 0.
-1, 0, 1
Let y(v) be the third derivative of -10/3*v**4 + 19*v**2 - 400/3*v**3 + 0 - 1/30*v**5 + 0*v. Determine o so that y(o) = 0.
-20
Let y(w) be the first derivative of -w**6/1800 - 11*w**5/600 - w**4/12 - 2*w**3/3 + 4*w**2 + 51. Let d(p) be the third derivative of y(p). Factor d(t).
-(t + 1)*(t + 10)/5
Let x be (-12)/4 - (11 + 0/(-3)). Let d be -1 + ((-18)/x - (-17 - -17)). Let d*p**2 + 4/7*p - 2/7*p**3 + 0 = 0. What is p?
-1, 0, 2
Let f(j) = j**3 - 5*j**2 - j + 6. Let w be f(5). Let d be (12/18*1)/(w/3). Determine y so that 2*y - 222*y**2 + 226*y**d - 4*y**4 - 10*y + 8*y**3 = 0.
-1, 0, 1, 2
Let g be 44/(-4) + (-3)/(-1). Let c be 6*(-4)/g - 0. Factor 31*s**2 + 4*s**2 + 4*s**2 + 12*s**3 + 3 + 6*s**c + 24*s.
3*(s + 1)**2*(6*s + 1)
Let n(b) = -3*b**3 + 40*b**2 - 514*b + 462. Let f(x) = x**3 - 21*x**2 + 257*x - 231. Let m(l) = 5*f(l) + 2*n(l). Factor m(k).
-(k - 7)*(k - 1)*(k + 33)
Let j(s) = 537*s + 5910. Let y be j(-11). Let w = -1 - -5. Let 0*k - 3/2*k**5 + 0 + 0*k**2 - 3/2*k**w + y*k**3 = 0. Calculate k.
-2, 0, 1
Let g(x) be the second derivative of x**4/72 - 23*x**3/18 - 305*x**2/4 - 4128*x. Factor g(k).
(k - 61)*(k + 15)/6
Let d(p) be the second derivative of -1/70*p**7 - p**3 + 9/50*p**6 + 0 + 0*p**2 + 27/20*p**4 - 3/4*p**5 + 53*p. Solve d(l) = 0 for l.
0, 1, 2, 5
Let j = 97 - 94. Find f such that -j*f**3 + 4*f**3 + 2 + 2 + 2*f**3 - 4*f - 5*f**2 = 0.
-1, 2/3, 2
Let c be (-6 + (-345)/92)/((-18)/16) + -2. Let x(t) be the second derivative of 1 - c*t**3 - 1/375*t**6 - 25*t**2 - 6*t - 2/25*t**5 - t**4. Factor x(q).
-2*(q + 5)**4/25
Let y(u) be the first derivative of 2*u**3/3 + 89*u**2 - 180*u + 2525. Factor y(k).
2*(k - 1)*(k + 90)
Factor 3*h**3 - 183*h**2 - 6241295*h + 6241295*h.
3*h**2*(h - 61)
Let h be 275*(-72)/(-33264) + 2/(-4). Determine o, given that -h*o**2 + 44/21 - 6/7*o = 0.
-11, 2
Let m = 4979 - 4975. Suppose -2*u + 4*z = -72, -3*z = 4*u - 53 - 58. Solve -6*q**m + 77*q**2 + 20 - u*q**3 - 60*q + 11*q**4 - 12*q**2 = 0 for q.
1, 2
Solve 2*i**5 - 14*i**2 - 826*i + 14*i**4 + 2*i**3 - 4*i**5 + 826*i = 0 for i.
-1, 0, 1, 7
Let t(q) be the first derivative of 0*q + 6*q**2 - 1/300*q**5 - 1/40*q**4 - 11 + 0*q**3. Let i(v) be the second derivative of t(v). Factor i(a).
-a*(a + 3)/5
Suppose 0*x = 5*x - 2*h - 71, -x + 7 = 2*h. Suppose -x*c = 1 - 1. What is w in c*w**3 - 4/7*w**2 + 0*w + 2/7*w**4 + 2/7 = 0?
-1, 1
Let c be 259/(-111)*6/4 - (2 + -55). Find u, given that -45/2*u - 111/2*u**2 - c*u**3 - 27/2*u**4 - 3 = 0.
-2, -1, -1/3
Let f(s) be the third derivative of -s**5/210 + 23*s**4/21 + 188*s**3/21 + 1887*s**2. Factor f(o).
-2*(o - 94)*(o + 2)/7
Suppose -75802*i + 4*i**4 + 24324*i**2 + 23104 + 8457*i**3 + 28986*i - 9073*i**3 = 