 22 = -3*g, -g = -3*s - 2*g. Let 10/11*i**s + 4/11*i**3 - 8/11*i - 24/11 = 0. Calculate i.
-2, 3/2
Let y be (8/28)/(58/14 - 4). Find c, given that -48*c - y*c**2 + 8 + 15*c + 12 + 8*c + 19*c = 0.
-5, 2
Let v be 38659/3462 + (2 - (-26)/(-2) - 0). Factor v*b**4 - 14/3 + 53/6*b - 5/6*b**3 - 7/2*b**2.
(b - 7)*(b - 1)**2*(b + 4)/6
Suppose -u + s - 1 = -3, 0 = -3*u + 4*s + 5. Solve -5*l + 45*l**2 + 66*l**3 - 32*l**4 - 5*l - l**u - 55*l**5 - 13*l**4 = 0 for l.
-1, 0, 2/11, 1
Let g be -13 - -26*16*17/544. Solve -8/9*n - 2/9*n**3 - 10/9*n**2 + g = 0 for n.
-4, -1, 0
Let c(g) be the second derivative of g**5/160 + 11*g**4/96 + 7*g**3/48 - 147*g**2/16 + 41*g + 6. Suppose c(x) = 0. Calculate x.
-7, 3
What is x in 54*x + 10432*x**4 + 270 - 5217*x**4 + 15*x**2 - 5220*x**4 + 25*x**3 - 279*x = 0?
-3, 2, 3
Let s(z) be the second derivative of -z**7/168 + z**6/72 + 5*z**5/24 + 5*z**4/8 - 23*z**3/6 + 3*z - 2. Let p(i) be the second derivative of s(i). Factor p(d).
-5*(d - 3)*(d + 1)**2
Suppose 5*j - 14 = -d, 1158 = 4*j - 4*d + 1166. Suppose -1/4*w**5 - 55/4*w**3 - 13/4*w**4 + 25 - 71/4*w**j + 10*w = 0. What is w?
-5, -2, 1
Let t = 2/2911 - 61223/133906. Let r = 22/23 + t. Factor r*l**2 + 7/6*l + 1/3.
(l + 2)*(3*l + 1)/6
Suppose -3*p + 4*d + 25 = 0, 5*p - 7*d = -9*d + 7. Factor -39 + 124*a - 29 + 2*a**p - 6*a**3 + 4 - 56*a**2.
-4*(a - 1)**2*(a + 16)
Factor 291527*m**2 + 3476*m**3 - 174560*m - 42891*m + 4*m**4 + 461893*m**2 + 131135*m - 670584*m.
4*m*(m - 1)*(m + 435)**2
Let x(y) be the third derivative of y**6/60 - 107*y**5/5 - 857*y**4/16 - 643*y**3/12 - 1236*y**2 + 3. Factor x(m).
(m - 643)*(2*m + 1)**2/2
Let i(j) be the second derivative of -5/6*j**4 - j**5 + 0 + 2/3*j**6 + 25/6*j**3 - 5*j**2 + 3*j - 5/42*j**7. Solve i(g) = 0.
-1, 1, 2
Let s = -51 - -53. Suppose -7*g**s - 4*g**4 - 5 - g**4 + 8*g**2 + 9*g**2 = 0. What is g?
-1, 1
Let p(q) be the first derivative of -25/4*q**4 + 49 - 5*q**3 - q**5 + 0*q + 45/2*q**2. Factor p(a).
-5*a*(a - 1)*(a + 3)**2
Let b be 1870/119 + -16 - 48/(-70). Let h be 4/10 - 8/(44 + -4). Factor h*l**2 + b*l - 3/5.
(l - 1)*(l + 3)/5
Let a(g) = 5*g - 6 + 3*g - 4*g - 5*g. Let q be a(-8). Solve -57 + 71 + 166 + 5*w**q + 60*w = 0.
-6
Suppose 6*g - 1863 = -1749. Let d(j) be the first derivative of -1/24*j**6 + 1/5*j**5 + 1/6*j**3 + 0*j**2 + 0*j - 5/16*j**4 - g. Factor d(y).
-y**2*(y - 2)*(y - 1)**2/4
Let c = -2015 + 2017. Let s(d) be the second derivative of -7/27*d**3 - 2/9*d**c - 5/54*d**4 - 8*d + 0. What is l in s(l) = 0?
-1, -2/5
Suppose -7/3*v + 0 - 55/12*v**2 - 13/6*v**3 + 1/12*v**4 = 0. Calculate v.
-1, 0, 28
Let p(j) = 7*j**3 + 4*j**2 - 5*j + 1. Let a be p(2). Let g be (36/a)/(-1*(-72)/28). Factor 4/9 - g*x**2 + 2/9*x.
-2*(x - 2)*(x + 1)/9
Let r(d) be the second derivative of 21*d + 0*d**3 + 0*d**2 - 1/20*d**5 - 1/8*d**4 + 0 + 1/60*d**6. Factor r(j).
j**2*(j - 3)*(j + 1)/2
Let m = 42376 + -42373. What is o in 363*o**m + 78*o - 6 - 627/2*o**2 = 0?
2/11, 1/2
Let j(t) = 19*t. Let z(a) = 5*a**2 + 1640*a - 1455. Let y(d) = -10*j(d) + z(d). Factor y(h).
5*(h - 1)*(h + 291)
Let c(r) be the third derivative of r**2 + 0 + 13/10*r**5 + 1/120*r**6 + 8788/3*r**3 - 20*r + 169/2*r**4. Let c(q) = 0. Calculate q.
-26
Let i(t) = -t**4 + 394*t**2 + 2204*t + 3871. Let x(j) = -2*j**4 - 4*j**3 + 789*j**2 + 4409*j + 7741. Let b(a) = -9*i(a) + 4*x(a). Let b(y) = 0. Calculate y.
-5, 31
Factor 95*o**2 - 1/3*o**3 - 9025*o + 857375/3.
-(o - 95)**3/3
Factor 0*c**2 + 3/7*c**5 + 0*c - 18*c**3 + 33/7*c**4 + 0.
3*c**3*(c - 3)*(c + 14)/7
Let j(m) be the first derivative of 3/5*m**5 - 44 + 0*m + 0*m**2 - 3/4*m**4 + 0*m**3. Suppose j(c) = 0. What is c?
0, 1
Suppose 34*s + 58 = 123 + 71. Let x(m) be the second derivative of -4/21*m**3 + 0 - 1/84*m**s + 1/140*m**5 + 6/7*m**2 - 28*m. Suppose x(i) = 0. What is i?
-3, 2
Let x(u) = u**2 + 78*u - 979. Let k be x(-89). Let t(f) be the third derivative of 1/3*f**4 - 4/3*f**3 + 0*f + 1/30*f**5 + 18*f**2 - 1/60*f**6 + k. Factor t(g).
-2*(g - 2)*(g - 1)*(g + 2)
Let f(v) be the first derivative of -4*v**3 - 7*v**4 + 23*v**4 - 371 - 48*v - 17*v**4 + 32*v**2 + 106. Determine m, given that f(m) = 0.
-6, 1, 2
Suppose -16207 + 16207 = 915*o. What is t in -465/4*t**4 - 189/2*t**5 - 81/4*t**3 + 3/2*t**2 + 0 + o*t = 0?
-1, -2/7, 0, 1/18
Determine g so that 5*g**2 - 6*g**4 + 49*g**2 - 28*g**3 + 4*g**3 - 3*g + 3*g**5 - 24*g = 0.
-3, 0, 1, 3
Let z(l) be the first derivative of 23 - l**3 + 4*l + 0*l**2 - 1/4*l**4. Factor z(q).
-(q - 1)*(q + 2)**2
Factor -15352/5*l - 29460488/5 - 2/5*l**2.
-2*(l + 3838)**2/5
Let h be (182/23 + 6/69)*6/16. Determine b, given that 0 + 4/3*b**2 + 4/3*b**h + 0*b = 0.
-1, 0
Let t be (-40)/(-33) - (-47)/((-3619)/42). Determine h so that t*h**2 + 40/3*h + 0 = 0.
-20, 0
Let n(c) = c**4 - 54*c**3 + 101*c**2 + 4*c + 48. Let u(p) = 4*p**4 - 161*p**3 + 304*p**2 + 11*p + 132. Let z(w) = 11*n(w) - 4*u(w). Solve z(q) = 0 for q.
0, 3, 7
Let q(c) be the first derivative of -4/9*c**2 - 1/36*c**4 + 12 + 0*c + 1/3*c**3. Factor q(w).
-w*(w - 8)*(w - 1)/9
Let u(f) be the third derivative of -f**5/300 + 49*f**4/20 - 181*f**2 + 3*f - 2. Factor u(h).
-h*(h - 294)/5
Suppose 6*b - 19*b = 0. Suppose 232*h - 3*h**2 + b - 3364 + h**2 - 2*h**2 = 0. Calculate h.
29
Let q(f) be the third derivative of 0 + 1/6*f**5 + 0*f + 0*f**4 - 42*f**2 + 0*f**6 - 1/42*f**7 - 5/6*f**3. Factor q(t).
-5*(t - 1)**2*(t + 1)**2
Factor 8380*q**3 - 677304*q**2 - 9*q**4 + 274958*q - 16*q**4 - 125*q**3 - 960542*q.
-q*(q + 1)*(5*q - 828)**2
Let v be (-276)/(-161)*7/2. Factor i**2 + 6*i - 18*i - v*i**2 - 8 + i**2.
-4*(i + 1)*(i + 2)
Let t(z) = -4*z**3 - 558*z**2 + 574*z - 6. Let i(a) = 15*a**3 + 2231*a**2 - 2290*a + 22. Let l(f) = -3*i(f) - 11*t(f). Factor l(n).
-n*(n - 1)*(n + 556)
Let g = 212616/5 + -42523. Factor g*m**3 + 0*m**2 - 3/5*m + 2/5.
(m - 1)**2*(m + 2)/5
Let j(p) be the first derivative of -p**4/21 - 10*p**3/21 + 12*p**2/7 - 49*p + 82. Let b(w) be the first derivative of j(w). What is f in b(f) = 0?
-6, 1
Determine b so that 207*b**2 + 702*b + 141 + 209*b**2 - 638*b**2 + 207*b**2 = 0.
-1/5, 47
Let l(r) be the second derivative of -r**4/20 + 161*r**3/5 + 969*r**2/10 - 14*r - 58. What is f in l(f) = 0?
-1, 323
Let 2049785*r**2 + 0*r**4 - 6134*r**3 - 6132230*r**2 - 3730*r**3 - 3*r**4 - 4025763*r**2 = 0. Calculate r.
-1644, 0
Let g(r) be the third derivative of r**6/60 + r**5/10 - r**4/12 - r**3 - 87*r**2 - 3*r. Factor g(i).
2*(i - 1)*(i + 1)*(i + 3)
Let j(k) be the third derivative of -k**6/18 + 5*k**5/24 - 5*k**4/24 + 25*k**3/2 - 17*k**2 + 1. Let h(t) be the first derivative of j(t). Solve h(y) = 0.
1/4, 1
Suppose 14 = -i - 4*d - 0, 6 = 5*i + d. Let m be (-12)/(-62) + 77174/127255. What is p in 4*p**3 - m*p + 0 - 4/5*p**i - 12/5*p**4 = 0?
-1/3, 0, 1
Let v(z) = -11*z**2 - 136*z + 775. Let y(o) = -145*o**2 - 1770*o + 10075. Let a(t) = 40*v(t) - 3*y(t). Let a(p) = 0. What is p?
-31, 5
Let p be (1 - -2)*(2025/75 + -26). Find u, given that -8/5*u**2 + 0 + 6/5*u**5 - 22/5*u**4 + 0*u + 24/5*u**p = 0.
0, 2/3, 1, 2
Suppose 188 = 60*h - 13*h. Let x(f) be the third derivative of 5/168*f**h + 0*f + 21*f**2 + 1/21*f**3 + 0 + 1/210*f**5. Factor x(c).
(c + 2)*(2*c + 1)/7
Let l(w) be the first derivative of w**6/21 + 8*w**5/35 + 3*w**4/14 + 459. Suppose l(m) = 0. What is m?
-3, -1, 0
Let z(o) be the third derivative of o**4/8 - 5*o**3/6 + 19*o**2. Let d be z(3). Factor -2*i**3 + 0*i**3 - i**3 + d*i**2 - 16 - i**3 + 16*i.
-4*(i - 2)*(i - 1)*(i + 2)
Let z be (1 - (-5 + 11))/(555/(-333)). Let -8/3*d + 0 - 2/3*d**z + 8/3*d**2 = 0. Calculate d.
0, 2
Suppose -63*l + 11*l + 208 = 0. Factor -365 - 211 + 4*h**l + 64*h**3 - 6*h**4 + 606*h + 162*h - 2*h**4 - 352*h**2.
-4*(h - 6)**2*(h - 2)**2
Let h(s) be the first derivative of 5*s**4/4 + 15*s**3 - 105*s**2/2 + 55*s - 719. Let h(i) = 0. What is i?
-11, 1
Let i(n) be the second derivative of n**8/2240 - n**7/56 + n**6/5 + 8*n**5/5 + n**4/6 + 8*n - 2. Let g(z) be the third derivative of i(z). Factor g(l).
3*(l - 8)**2*(l + 1)
Let l(p) be the third derivative of -p**8/672 + 11*p**7/84 + 47*p**6/48 + 13*p**5/24 - 59*p**4/8 + 1460*p**2 + p + 1. Let l(r) = 0. Calculate r.
-3, -2, 0, 1, 59
Suppose 3 = 4*q - 5*r + 61, 49 = -3*q + r. Let n be (126/(-105))/(q/(-10) + -2). Let 1/2*d**3 + 0 - d**2 - 2*d + 1/4*d**n = 0. Calculate d.
-2, 0,