/((-12)/24). Find b such that -9*b**4 + 24*b**4 - 5*b**3 + 0*b**3 - 5*b**v = 0.
0, 1/2
Let a be 27*9/729 + 79/(-21) - -6. Find j such that -1/7*j**5 + 68/7*j**2 - 57/7*j + a - 38/7*j**3 + 10/7*j**4 = 0.
1, 2, 3
Let m be ((-45)/(-50))/(2076/865). Find o such that 0 + 0*o + m*o**3 + 0*o**2 - 3/8*o**4 = 0.
0, 1
Let 63 + 63/5*f**2 - 384/5*f + 6/5*f**3 = 0. What is f?
-15, 1, 7/2
Let z(x) be the first derivative of 204*x**2 + 137/2*x**4 + 184/5*x**5 + 3*x**6 - 1028/3*x**3 + 144*x - 64. Suppose z(b) = 0. Calculate b.
-6, -2/9, 1
Let i be (13/2 - 5)/(6/56). Factor 30*s - 2*s**3 + 0 + 0 - 14*s - i*s**2.
-2*s*(s - 1)*(s + 8)
Let k(i) be the first derivative of i**6/2 + 144*i**5/5 + 273*i**4/2 + 268*i**3 + 531*i**2/2 + 132*i - 1103. Factor k(p).
3*(p + 1)**4*(p + 44)
Let x(q) = -3*q**2 + 246*q + 2457. Let t(y) = 6*y**2 - 491*y - 4905. Let m(p) = -6*t(p) - 11*x(p). Factor m(k).
-3*(k - 89)*(k + 9)
What is o in 290*o**2 - 23 + 145*o - 5*o**5 - 49*o**3 - 101*o**3 + 8171*o**4 + 10*o - 8236*o**4 - 202 = 0?
-9, -5, -1, 1
Let i(w) be the first derivative of 0*w + 115/4*w**4 - 10*w**2 - 35 - 6*w**5 - 100/3*w**3. Factor i(k).
-5*k*(k - 2)**2*(6*k + 1)
Let v(j) be the third derivative of -5/21*j**4 + 0*j**3 + 1/210*j**5 + 1/420*j**6 - 10 - 7*j**2 + 0*j. Find y such that v(y) = 0.
-5, 0, 4
Let v(a) be the second derivative of -3/112*a**7 + 1/16*a**6 - 3/160*a**5 + 0*a**3 - 1/32*a**4 + 0*a**2 + 47*a + 0. Factor v(c).
-3*c**2*(c - 1)**2*(3*c + 1)/8
Factor -4*p**3 - 3 + 900*p**2 - 896*p**2 + 3*p**3 - 1 + 2*p - p**3.
-2*(p - 2)*(p - 1)*(p + 1)
Let n(l) be the second derivative of 1/140*l**5 + 2/21*l**3 + 5/84*l**4 + 0*l**2 + 6*l + 5. Factor n(j).
j*(j + 1)*(j + 4)/7
Suppose -15*p + 168 = 9*p. Let r be p + (-306)/42 + 51/105. Factor 0 - r*s**2 + 0*s + 1/5*s**3.
s**2*(s - 1)/5
Let l be 2 + 23 + (-13 - 10). Factor 2*u - 2/3*u**2 + 0 + 2/3*u**4 - l*u**3.
2*u*(u - 3)*(u - 1)*(u + 1)/3
Factor 2/9*v**2 + 1070/9*v - 1072/9.
2*(v - 1)*(v + 536)/9
Let r(f) = -f**2 - 8*f + 108. Let b be r(-15). Let c be b/((-462)/(-259)) - 3/2. Factor 16/11*p + 0 - 40/11*p**2 - 14/11*p**4 + c*p**5 + 36/11*p**3.
2*p*(p - 2)**3*(p - 1)/11
Let z(x) = 48 + 2790*x - 1396*x - 1379*x. Let g be z(-3). Find t such that 3/7*t**2 - 3/7*t + 3/7*t**g - 3/7 = 0.
-1, 1
Let p(d) = 39*d**4 + 300*d**3 + 875*d**2 + 852*d + 282. Let t(x) = 21*x**4 + 150*x**3 + 438*x**2 + 426*x + 141. Let o(a) = 6*p(a) - 11*t(a). Factor o(c).
3*(c + 1)**3*(c + 47)
Let q(h) be the first derivative of -2*h**5/65 + h**4/13 + 10*h**3/39 - 6*h**2/13 + 1914. Find v such that q(v) = 0.
-2, 0, 1, 3
Let m(d) be the first derivative of -d**3/6 - 165*d**2/2 + 1361. Factor m(t).
-t*(t + 330)/2
Let c be 148/(-3 - ((-1352)/32)/13). Suppose c*h = 594*h. Factor 8/7*m**2 - 8/7*m + h - 2/7*m**3.
-2*m*(m - 2)**2/7
Let j(f) be the first derivative of 3*f**5/5 - 45*f**4/4 + 23*f**3 + 117*f**2/2 + 1072. Determine m, given that j(m) = 0.
-1, 0, 3, 13
Let f be (6/(-8))/(6*10/(-400)). Let -13*y**4 - 13*y**3 - 23*y**3 - 15*y + 0*y**f + y**4 - 6*y**2 + 3*y**5 + 18 + 48*y = 0. Calculate y.
-1, 1, 6
Let a(u) = -8*u + 79. Let z be a(18). Let h = 68 + z. Factor 0 - 8/3*x + 2*x**h - 8/3*x**2 + 4/3*x**4 - 2/3*x**5.
-2*x*(x - 2)**2*(x + 1)**2/3
Let m be ((-3)/(-12)*0)/(-14*(-1)/14). Let s(r) be the first derivative of 0*r - 8/3*r**3 + m*r**2 + 3*r**4 + 38 - 4/5*r**5. Let s(w) = 0. What is w?
0, 1, 2
Factor 0 - 8549/3*j**4 + 1160357*j**3 + 7/3*j**5 - 472927895/3*j**2 + 134838286/3*j.
j*(j - 407)**3*(7*j - 2)/3
What is a in 15*a + 0 - 4*a**2 - 1/3*a**3 = 0?
-15, 0, 3
Factor -35*x**2 + x**3 + 1153*x - 2369*x + 1102*x.
x*(x - 38)*(x + 3)
Suppose 0 = 2*a - q - 9, -a - 705*q = -701*q + 36. Factor 216/5*s + 6*s**3 - 144/5*s**2 - 2/5*s**4 + a.
-2*s*(s - 6)**2*(s - 3)/5
Suppose -210479*d = -210434*d. Let y be (-2)/5 + (-62)/(-80). Solve y*a**2 - 9/8*a + d = 0.
0, 3
Let g(k) be the first derivative of 27 - 1/45*k**5 + 0*k**2 - 2/27*k**3 + 0*k + 1/12*k**4. Factor g(o).
-o**2*(o - 2)*(o - 1)/9
Suppose 1269*n = 1266*n. Let l(r) be the second derivative of 0*r**3 + 11*r + 1/90*r**5 + n + 0*r**4 + 0*r**2. Factor l(t).
2*t**3/9
Suppose -2445 - 2140 = -917*i. Let 0 + 8/9*z**4 - 2/3*z - 8/9*z**2 + 4/9*z**3 + 2/9*z**i = 0. Calculate z.
-3, -1, 0, 1
Let v = -41458 + 290322/7. Solve 4*q + 0 + v*q**2 + 16/7*q**3 = 0.
-7, -1/4, 0
Let t(b) = 5*b**3 - 3*b**2 - 4*b**3 - 19*b + 7*b**2 + 122 + 25*b**2 - 6*b**2. Let z be t(-24). Find q such that -40*q + 56/5 + 14/5*q**z = 0.
2/7, 14
Let a(b) be the third derivative of 375/16*b**4 + 0 - 6*b + 5/4*b**5 + 1/48*b**6 + 0*b**3 - b**2. Factor a(y).
5*y*(y + 15)**2/2
Let q(i) be the third derivative of 73*i**2 + 0 + 4/75*i**5 + 2/3*i**3 - 1/300*i**6 - 17/60*i**4 + 0*i. Solve q(s) = 0 for s.
1, 2, 5
Suppose 54 = 8*j + 22. Factor -29933*k**j - 65*k**3 - 300*k**2 + 29983*k**4 - 158*k - 22*k - 5*k**5.
-5*k*(k - 6)**2*(k + 1)**2
Let j(m) be the first derivative of -18*m**5/5 + 159*m**4/4 + 81*m**3 - 162*m**2 - 60*m + 38. Let j(z) = 0. Calculate z.
-2, -1/6, 1, 10
Suppose 5*o - 4*l = -12, -3*l - 2*l - 18 = 2*o. Let m be (-14)/o + (-4)/8. Factor -2*t**4 - 5*t**2 + 5*t**2 + 156*t**m - 158*t**3.
-2*t**3*(t + 1)
Let y be 9 + (0 - (-12)/(-6)). Let j be 7 + y/14*-10. Determine p so that 10/9*p**j - 2/9*p**3 - 8/9*p + 0 = 0.
0, 1, 4
Let j(k) be the third derivative of k**5/15 + 49*k**4/2 - 296*k**3/3 - 789*k**2. Factor j(b).
4*(b - 1)*(b + 148)
Let b(t) = -20*t**3 - t**2 + 2*t - 1. Let f be b(1). Let x = f + 32. Factor -3*c**3 - x*c**2 + 7*c**3 + 0*c**3.
4*c**2*(c - 3)
Let x(z) be the third derivative of 19*z**5/150 - 647*z**4/30 + 136*z**3/15 - 3*z**2 + 35*z + 2. Solve x(o) = 0.
2/19, 68
Let j(g) be the first derivative of 6348*g**3 + 184*g**2 + 16*g/9 + 675. Find n such that j(n) = 0.
-2/207
Let r(j) be the third derivative of -4*j**7/105 - 34*j**6/5 - 161*j**5/6 - 167*j**4/4 - 100*j**3/3 - 2*j**2 - 106. What is g in r(g) = 0?
-100, -1, -1/2
Factor 9008*j**4 + 106 - 380*j**3 + 149 - 8936*j**4 - 4*j**5 + 97 - 912*j + 872*j**2.
-4*(j - 11)*(j - 2)**3*(j - 1)
Let j = -3396 + 2391. Let x = 3019/3 + j. Factor -x - 16/3*z**2 - 20/3*z.
-4*(z + 1)*(4*z + 1)/3
Let t(i) be the third derivative of i**8/2016 - i**7/126 + 11*i**6/240 - 11*i**5/90 + 5*i**4/36 - 152*i**2 + 2. Factor t(g).
g*(g - 5)*(g - 2)**2*(g - 1)/6
Let i = 3430 + -96037/28. Let c(y) be the first derivative of 15/14*y**2 - 9 + 4/7*y**3 + 6/7*y + i*y**4. Solve c(l) = 0.
-2, -1
Let r be (4 + -10)*(-2)/28. Find j such that -r*j**2 - 15/7*j - 12/7 = 0.
-4, -1
Let n(s) be the first derivative of -5*s**4/4 + 40*s**3/3 - 45*s**2/2 - 90*s - 838. What is t in n(t) = 0?
-1, 3, 6
Let k(g) = -4*g. Let p be k(-4). Suppose 0 = -2*h + 20 - p. Suppose -h*b + 6*b**2 - b + 13*b + 2*b**2 + 2*b**3 + 4 = 0. What is b?
-2, -1
Let 87*b - 693/8 - 3/8*b**2 = 0. What is b?
1, 231
Factor 0 - 274/15*y - 2/15*y**2.
-2*y*(y + 137)/15
Let h(k) = k**2 + 10*k - 10. Let m be h(3). Suppose 45*n - 32 = m*n. Determine s so that -2/9*s**3 + 0 - 2/9*s**n + 0*s = 0.
-1, 0
Suppose 0 = 14*r - 8*r - 24. Let p be (6 + -7)*r + 8/2. Determine v, given that 1/5*v**2 + 3/5*v**4 + 3/5*v**3 + 0 + 1/5*v**5 + p*v = 0.
-1, 0
Let p(c) be the first derivative of c**4/6 + 878*c**3 + 1734489*c**2 + 1522881342*c + 5761. Find r, given that p(r) = 0.
-1317
Suppose 4*q - 24 = 0, 173*f - 38 = 166*f - 4*q. Let k(a) be the second derivative of 0 - 1/15*a**4 + 1/100*a**5 - 3/5*a**f - a - 11/30*a**3. Factor k(o).
(o - 6)*(o + 1)**2/5
Factor -36/13*k - 30/13*k**2 + 2/13*k**3 + 64/13.
2*(k - 16)*(k - 1)*(k + 2)/13
Suppose 0 = -12*z - 26*z + 76. Let y = 8 + -50/7. What is s in -y*s**z + 6/7*s + 0 = 0?
0, 1
Find r such that 167 + 792*r + 2*r**2 + 2617*r - 219*r - 3359 = 0.
-1596, 1
Let y = -40 - -42. Factor 87*l**5 + 2*l**3 - 86*l**5 + y*l**4 - 5*l**3.
l**3*(l - 1)*(l + 3)
Let i(g) = -51*g**3 + 6999*g**2 - 524040*g - 1633038. Let n(p) = 7*p**3 - 997*p**2 + 74863*p + 233291. Let o(z) = 2*i(z) + 15*n(z). Factor o(f).
3*(f - 161)**2*(f + 3)
Let i = 2102 + -2095. Let p(o) be the third derivative of 1/10*o**5 + 0*o + 0 - 1/20*o**6 - 2*o**2 - 1/8*o**4 - 1/560*o**8 + 1/70*o**i + 1/10*o**3. Factor p(y).
-3*(y - 1)**5/5
Factor -973*r + 398 - 1445*r + 438 - 270 - 14*r**2 + 126.
-2*(r + 173)*(7*r - 2)
Let j(l) be the second derivative of 3*l**4/4 - 11*l**3/2 - 21*l**2 - l - 459. Fac