(-1 + (-1)/(-2)). Let n be 2 - (2/(-4) - h)*0. Solve 2 - n*u**3 - u**2 + 2*u + 3*u**2 - 4 = 0.
-1, 1
Let u(c) be the second derivative of -1369*c**4/24 + 481*c**3/6 - 169*c**2/4 + 1434*c. Factor u(j).
-(37*j - 13)**2/2
Let z(i) be the second derivative of -5/12*i**4 + 0*i**2 + 1/6*i**6 + 40 - 2*i + 5/252*i**7 + 7/24*i**5 - 10/9*i**3. Let z(w) = 0. Calculate w.
-4, -2, -1, 0, 1
Solve 837/2*y - 233523/4 - 3/4*y**2 = 0.
279
Let x(j) = j**2 + 6*j + 7. Let c(s) = -2*s + 13. Let z be c(9). Let h be x(z). Factor 4 - 3*b - 5*b**2 + h*b + 4*b**2 - 2*b**2.
-(b - 1)*(3*b + 4)
Let z be 2*1 - (-11)/((-8415)/1500). Let y(p) be the first derivative of -8/17*p**2 + z*p**3 - 19 + 32/17*p. Determine r so that y(r) = 0.
4
Let z(j) be the third derivative of -j**5/330 - 25*j**4/66 - 301*j**3/33 + 17*j**2 + 164*j. Factor z(t).
-2*(t + 7)*(t + 43)/11
Let w = 43309/46128 - 4/2883. Let s(n) be the first derivative of -15/2*n**3 + 30*n + 39 - 5/2*n**2 + 1/4*n**5 - w*n**4. Factor s(y).
5*(y - 6)*(y - 1)*(y + 2)**2/4
Let o(j) be the second derivative of j**5/30 - 11*j**4/12 + 10*j**3/3 + 101*j**2/2 - 11*j - 3. Let y(g) be the first derivative of o(g). Factor y(c).
2*(c - 10)*(c - 1)
Let t = 36368/51 + -12083/17. What is d in -t*d + 4/3 + 2/3*d**2 + 1/3*d**3 = 0?
-4, 1
Factor 1/2*k**5 + 16*k - 5*k**4 + 0 + 26*k**2 + 9/2*k**3.
k*(k - 8)*(k - 4)*(k + 1)**2/2
Let k = 448 - 377. Let 6*q + 87 + 9*q - q**2 - k = 0. Calculate q.
-1, 16
Factor 1/4*d**3 - 6498 + 3363*d - 115/2*d**2.
(d - 114)**2*(d - 2)/4
Factor 3*j**3 - 85693*j + 42883*j + j**3 - 64*j**2 + 42922*j.
4*j*(j - 14)*(j - 2)
Suppose 606/7*k + 0 + 208/7*k**2 + 2/7*k**3 = 0. Calculate k.
-101, -3, 0
Factor -113*d**3 + 177 + 5*d**2 - 51 + 86 + 103 + 108*d**3 + 165*d.
-5*(d - 7)*(d + 3)**2
Let 62/3*u**3 - 49/3 + 5*u**4 - 21*u + 1/3*u**5 + 34/3*u**2 = 0. What is u?
-7, -1, 1
Let z(q) = -3*q**4 + 24*q**3 + 34*q**2 - 20*q - 23. Let g(y) = y**4 - 3*y**2 - y. Let w(n) = -4*g(n) - z(n). What is i in w(i) = 0?
-23, -1, 1
Suppose -4*h = -3*h. Let u = -185181 - -3888803/21. Factor 0*o + 2/7*o**2 + 4/21*o**3 + h - u*o**4.
-2*o**2*(o - 3)*(o + 1)/21
Factor 1/7*f**3 - 19/7*f - 20/7 + 2/7*f**2.
(f - 4)*(f + 1)*(f + 5)/7
Suppose -89 = -2*u - 2*a - 67, u = 2*a - 13. Let b = -1/8 - -3/8. Let -4*c**2 + 1/2 - 15/4*c**u + b*c = 0. Calculate c.
-1, -2/5, 1/3
Suppose 0 - 7/2*d**2 + 0*d + 2*d**4 + 27/2*d**3 = 0. What is d?
-7, 0, 1/4
Let b be (-2)/(-12) + 103581/714. Let r = -434/3 + b. Factor -1/7*w**2 - r*w - 4/7.
-(w + 2)**2/7
Let l(u) be the first derivative of u**5/3 + 25*u**4/6 + 145*u**3/9 + 20*u**2/3 - 80*u - 460. Factor l(i).
5*(i - 1)*(i + 3)*(i + 4)**2/3
Let q(b) be the third derivative of b**6/1020 + 223*b**5/510 - 449*b**4/204 + 75*b**3/17 - 5*b**2 - 82. Solve q(x) = 0.
-225, 1
Let v(s) = 16*s - 4. Let y be v(0). Let h(x) = -9*x**2 - 5*x - 26. Let n(z) = -20*z**2 - 9*z - 54. Let r(m) = y*n(m) + 9*h(m). What is k in r(k) = 0?
-6, -3
Let l = -1612152 - -1612155. Suppose 4/7*z**2 + 0*z + 2/7*z**l + 0 = 0. What is z?
-2, 0
Suppose -3*n = -p - 2*n + 488, 3*p - 1449 = -2*n. Solve 0*x**3 - 72*x - 15*x**2 - p + 409 + x**3 = 0.
-2, 19
Suppose 416*w - 3*w - 1174 = -174*w. Let o = -58 - -291/5. Factor 0 - o*u**w + 3/5*u.
-u*(u - 3)/5
Let z = -45065 - -45065. Determine u, given that 0 + 2/5*u**3 + z*u + 2/5*u**2 = 0.
-1, 0
Let j(a) be the second derivative of a**6/10 + 9*a**5/10 - 2*a**4 - 3*a**3 + 21*a**2/2 + 135*a - 4. Factor j(w).
3*(w - 1)**2*(w + 1)*(w + 7)
Let k(q) be the third derivative of -1/8*q**4 + 0 + 1/40*q**6 + 3*q**2 + 0*q**3 - 6*q + 1/70*q**7 - 1/20*q**5. Solve k(a) = 0 for a.
-1, 0, 1
Suppose -125*p + 91 = -118*p. Solve -10 + 13*n + 5*n**4 + 15*n - p*n + 5*n**2 - 15*n**3 = 0.
-1, 1, 2
Let w(u) = 1. Let r(x) be the third derivative of x**5/60 - x**4/24 - 28*x**2. Let g(b) = -2*r(b) + 4*w(b). Let g(q) = 0. Calculate q.
-1, 2
Let x(h) be the third derivative of h**7/630 + 19*h**6/60 + 16*h**5/3 + 775*h**4/36 - 875*h**3/6 - h**2 - 164. Find w, given that x(w) = 0.
-105, -5, 1
Let w(b) be the third derivative of -b**6/200 + 13*b**5/100 + 8*b**4/5 + 34*b**3/5 - 8*b**2 + 2. Factor w(l).
-3*(l - 17)*(l + 2)**2/5
Solve -22528/9 - 640/9*k - 2/9*k**3 + 106/9*k**2 = 0 for k.
-11, 32
Let a be 8/52 - (384/(-312))/((-2)/(-16)). Let z(y) be the first derivative of -16*y - 4/3*y**3 - a*y**2 + 33. Determine f so that z(f) = 0.
-4, -1
Let n be 189/6*41/1148. Suppose 15/8*v - 3/8*v**2 - 3/8*v**3 - n = 0. Calculate v.
-3, 1
Suppose 8 = 31*i - 33*i - 4*x, -x - 3 = 0. Let v(u) be the second derivative of -15*u + 0*u**4 + 0*u**i + 0 + 1/14*u**3 - 3/140*u**5. Factor v(f).
-3*f*(f - 1)*(f + 1)/7
Suppose 1546*p - 7098 - 867 - 12199 = -3495*p. Suppose 0 - 3/7*h**p + 12/7*h**3 + 0*h - 9/7*h**2 = 0. What is h?
0, 1, 3
Let x(a) be the second derivative of -a**4/42 + 88*a**3/3 - 615*a**2/7 - 2*a + 764. Factor x(y).
-2*(y - 615)*(y - 1)/7
Let b = 276 + -1374/5. Let r be ((-6)/4)/(15/(-8)). Find g, given that r*g + b*g**2 + 2/5*g**3 + 0 = 0.
-2, -1, 0
Let o(b) be the first derivative of b**2 + 1/10*b**5 - 2/3*b**3 - 1/8*b**4 + 0*b + 171. Find w such that o(w) = 0.
-2, 0, 1, 2
Let r(b) = -b**4 - 27*b**3 + 392*b**2 + 411*b + 98. Let g(a) = 2*a**4 + 82*a**3 - 1175*a**2 - 1233*a - 292. Let l(y) = -3*g(y) - 10*r(y). Factor l(h).
(h - 8)*(h + 13)*(2*h + 1)**2
Let f(i) be the first derivative of i**3 + 600*i**2 + 2388*i - 3567. What is d in f(d) = 0?
-398, -2
Let b = -16/739 + -962837/3695. Let c = -260 - b. Factor -d + c*d**2 + d**3 + 1/5*d**4 - 4/5.
(d - 1)*(d + 1)**2*(d + 4)/5
Let d(t) be the third derivative of t**6/180 + 671*t**5/360 - 7*t**4/6 - 4705*t**2. Factor d(f).
f*(f + 168)*(4*f - 1)/6
What is t in -263099*t + 168126*t**2 - 3*t**5 - 347*t**4 + 173099*t - 241*t**4 - 27609*t**3 - 49926*t**2 = 0?
-100, 0, 1, 3
Let c = 50114/9 + -5568. Let t(n) be the third derivative of 0*n + 1/180*n**6 + 0 + 0*n**5 - 18*n**2 - 1/12*n**4 - c*n**3. Factor t(o).
2*(o - 2)*(o + 1)**2/3
Let u(n) be the second derivative of 24*n + 1/42*n**4 + 0 + 10/7*n**2 + 11/21*n**3. Factor u(h).
2*(h + 1)*(h + 10)/7
Let c(j) be the first derivative of -1/33*j**3 - 2/11*j**2 - 52 - 4/11*j. Determine v so that c(v) = 0.
-2
Let y(h) be the first derivative of -4/9*h**4 + 2/45*h**5 - 141 + 0*h - 10/9*h**2 - 38/27*h**3. Let y(p) = 0. Calculate p.
-1, 0, 10
Let t(a) be the second derivative of -a**7/840 - a**6/252 - a**5/280 + 61*a**3/3 - 68*a + 1. Let h(j) be the second derivative of t(j). Factor h(k).
-k*(k + 1)*(7*k + 3)/7
Factor -9375 + 29021 - 570*k - 9257 + 5*k**2 - 9824.
5*(k - 113)*(k - 1)
Let t(l) = -l**3 + 4*l**2 + 7*l - 6. Let k be t(5). Let a = 247517/2 + -123758. Factor -k*i + 2 + 5/2*i**2 - a*i**3.
-(i - 2)**2*(i - 1)/2
Let m(u) be the first derivative of u**7/840 - 7*u**5/40 - 5*u**4/6 + 8*u**3 + 57. Let p(q) be the third derivative of m(q). Determine l, given that p(l) = 0.
-4, -1, 5
Let z(w) be the first derivative of 2*w**7/525 - 2*w**5/25 - 4*w**4/15 - 2*w**3/5 + 48*w**2 + 35. Let c(h) be the second derivative of z(h). Factor c(b).
4*(b - 3)*(b + 1)**3/5
Let m(a) be the second derivative of 1/16*a**5 - 1/240*a**6 - 11/32*a**4 + 5/6*a**3 - a**2 - 10*a - 3. Factor m(d).
-(d - 4)**2*(d - 1)**2/8
Let l(y) be the third derivative of -2*y - 1/60*y**5 - 1/120*y**6 + 1/3*y**4 + 2*y**3 + 0 + 7*y**2. Find m, given that l(m) = 0.
-2, 3
Let g(u) be the second derivative of -u**6/75 - 7*u**5/50 - 17*u**4/30 - 17*u**3/15 - 6*u**2/5 - 409*u + 2. Solve g(o) = 0.
-3, -2, -1
Let a(b) be the first derivative of -9*b**6/2 - 1476*b**5/5 + 501*b**4 - 224*b**3 - 3153. Suppose a(w) = 0. What is w?
-56, 0, 2/3
Suppose 0 = 5*z - 10*z + 20. Suppose 0 = -s - 4*w + 4, 3*w - 11 + 46 = z*s. Factor 3 - 3 + 85*p**3 - s*p**2 - 83*p**3.
2*p**2*(p - 4)
Factor -134/3*c + 0 - 65/3*c**2 - 1/3*c**4 + 68/3*c**3.
-c*(c - 67)*(c - 2)*(c + 1)/3
Let j(b) = b**2 + 4*b - 3. Let a be j(1). Factor 127*q**a - 80 - 259*q**2 + 136*q**2 + 31*q + q.
4*(q - 2)*(q + 10)
Factor 40*y**2 + 219 + 1117 - 43206*y - 292 - 2*y**3 + 43692*y.
-2*(y - 29)*(y + 3)*(y + 6)
Let q be (-2)/(-7)*41/(-7298). Let x = 1241/3115 - q. Factor x + 0*r - 2/5*r**2.
-2*(r - 1)*(r + 1)/5
Suppose 0 = -2003*m + 18625 - 598. Factor -8*i - 1/2*i**4 - 5/2 - m*i**2 - 4*i**3.
-(i + 1)**3*(i + 5)/2
Factor 88/3 + 4/3*z**2 - 92/3*z.
4*(z - 22)*(z - 1)/3
Let d(u) be