080 - 28*r = 0. Calculate r.
-24, -9, -1
Let a = -9049 + 9049. Let b(i) be the first derivative of a*i**3 - 2*i**6 + 8/5*i**5 + 8 + 0*i + 9*i**4 - 8*i**2. Suppose b(h) = 0. What is h?
-1, 0, 2/3, 2
Solve -10440/7*t - 3/7*t**3 - 351/7*t**2 - 10092/7 = 0.
-58, -1
Let v = 0 - -5. Suppose 4*c = v*n - 20, n = -3*c - 16 + 1. Factor 0*b + n*b**3 - 2/19 - 2/19*b**4 + 4/19*b**2.
-2*(b - 1)**2*(b + 1)**2/19
Let n(r) = r**2 + 8*r - 35. Let l be n(4). Let j(d) be the first derivative of -6/5*d**2 - l + 9/20*d**4 + 4/5*d**3 + 0*d. Suppose j(y) = 0. Calculate y.
-2, 0, 2/3
Let q(c) be the second derivative of -5*c**3 + 57*c + 5/12*c**4 + 0 - 35/2*c**2. Find j such that q(j) = 0.
-1, 7
Let i(z) be the first derivative of 3*z**5/20 - 5*z**4/2 + 6*z**3 + 108*z**2 - 279*z + 74. Let n(u) be the first derivative of i(u). Factor n(o).
3*(o - 6)**2*(o + 2)
Determine x so that 6*x - 15/2*x**2 - 3*x**3 + 9/2 = 0.
-3, -1/2, 1
Suppose -n + 15 = 5*m, -6 = 52*m - 50*m - 2*n. Determine c, given that 0 + 2/3*c**m - 4/3*c = 0.
0, 2
Let k(l) be the second derivative of l**6/105 - l**5/10 + 17*l**4/42 - 17*l**3/21 + 6*l**2/7 - 252*l. Factor k(b).
2*(b - 3)*(b - 2)*(b - 1)**2/7
Let w be (-140)/((-44)/(-6) + -8). Let x = 631/3 - w. Factor -x - 1/9*f**3 + 5/9*f - 1/9*f**2.
-(f - 1)**2*(f + 3)/9
Let o(p) = -2*p**2 - 23*p + 14. Let f be o(-12). Let -8*y**f + 83*y + 6*y**2 - 65*y = 0. Calculate y.
0, 9
Let y = 3457/18 + -192. Let t(k) be the second derivative of y*k**3 + 0*k**2 - 1/30*k**5 + 0 + 0*k**4 - 11*k + 0*k**6 + 1/126*k**7. Find n such that t(n) = 0.
-1, 0, 1
Let r = 201517/48366 + 4/24183. Suppose -1/6*n**2 - r - 5/3*n = 0. What is n?
-5
Let o(r) = 11*r**3 + 146*r**2 + 234*r + 81. Let v(c) = 10*c**3 + 145*c**2 + 235*c + 80. Let z(g) = 10*o(g) - 9*v(g). Factor z(f).
5*(f + 1)*(f + 6)*(4*f + 3)
Let i = -9 - -11. Suppose 0 = 3*p - g + 6*g - 77, -i*p - g = -49. Find n, given that 173 - 66*n**2 - 3*n**4 - 14*n + 86*n + p*n**3 - 200 = 0.
1, 3
Let o(w) be the third derivative of w**7/8820 + w**6/1260 - w**5/140 + 241*w**4/24 + 160*w**2. Let t(n) be the second derivative of o(n). Factor t(d).
2*(d - 1)*(d + 3)/7
Let l be 3 - ((-11)/(-209))/(16/152). Let o(y) be the first derivative of -21 + 25/4*y**2 + l*y**3 - 9/8*y**4 + 1/10*y**5 + 0*y. Let o(x) = 0. What is x?
-1, 0, 5
Let f(d) be the third derivative of 2*d**7/21 + 83*d**6/24 - 39*d**5/4 - 95*d**4/3 + 110*d**3/3 + 2618*d**2. Determine g, given that f(g) = 0.
-22, -1, 1/4, 2
Let t(j) be the third derivative of j**7/1155 + 5*j**6/132 - 13*j**5/165 + 1049*j**2. Factor t(p).
2*p**2*(p - 1)*(p + 26)/11
Let o(f) be the third derivative of -f**9/287280 + f**8/63840 - 17*f**5/5 - 223*f**2. Let l(b) be the third derivative of o(b). Find r, given that l(r) = 0.
0, 3/2
Let n(i) be the first derivative of -i**6/200 + 11*i**5/60 - i**4/5 - 4*i**3 + i + 135. Let f(w) be the third derivative of n(w). Find z such that f(z) = 0.
2/9, 12
Let t(c) be the first derivative of c**6/3 - 4*c**5/5 - 13*c**4/2 - 20*c**3/3 - 2475. Factor t(w).
2*w**2*(w - 5)*(w + 1)*(w + 2)
Let x = 519187/42 - 12361. Let l(z) be the third derivative of x*z**3 + 5/84*z**4 + 9*z**2 + 0 + 1/420*z**5 + 0*z. Solve l(h) = 0.
-5
Let x(h) be the first derivative of h**6/6 - 7*h**5/4 + 55*h**4/12 - 25*h**3/6 + 4*h - 33. Let n(s) be the first derivative of x(s). Factor n(o).
5*o*(o - 5)*(o - 1)**2
Let i be (145/(-58))/(15/(-18)). Let d(n) be the first derivative of 8*n - 4/3*n**i - 2*n**2 - 8. Factor d(b).
-4*(b - 1)*(b + 2)
Suppose -354*t - 9 = -355*t. Solve v**2 + 34*v**2 - 3*v**3 + t*v - 2*v**3 - 39*v = 0.
0, 1, 6
Let w(i) = -5*i**4 + 3*i**3 - 4*i**2. Let q(y) = 8*y**4 - 4*y**3 + 5*y**2. Let u(z) = 2*q(z) + 3*w(z). Factor u(o).
o**2*(o - 1)*(o + 2)
Determine p so that 15802*p - 515*p**3 + 5*p**4 + 9142 - 65322 + 0*p**4 + 12435*p**2 + 37708*p - 9255*p = 0.
-4, 1, 53
Suppose -42*m + 1960 = 1834. Solve 0 - 4/7*d**m + 0*d + 92/7*d**2 = 0 for d.
0, 23
Let g = 1727/56 + -1601/56. Factor -g*b**2 + 173/4*b - 19/2.
-(b - 19)*(9*b - 2)/4
Suppose -110*h + 104*h + 30 = 0. Let g = 82/9 + -401/45. Factor 4/5*y**4 - 2/5 - y + g*y**h + 4/5*y**3 - 2/5*y**2.
(y - 1)*(y + 1)**3*(y + 2)/5
Suppose 2*a + 2*q - 14 = 0, -2*a - 3*q = -14 - 5. Suppose m**5 - 3*m**2 + 3*m**a - 4*m + 24*m**3 + 22*m**2 + 11*m + 10*m**4 = 0. Calculate m.
-7, -1, 0
Suppose 3*g = b - 33, -3*b + 93 = -16*g + 13*g. Suppose 376*t + b = 386*t. What is f in 0*f**2 + 0*f + 0 + 35/2*f**4 + 25/2*f**5 + 5*f**t = 0?
-1, -2/5, 0
Let r(p) be the second derivative of 12*p + 0 - 1/24*p**4 - 4/27*p**3 + 5*p**2 - 1/540*p**5. Let l(v) be the first derivative of r(v). Factor l(w).
-(w + 1)*(w + 8)/9
Let v(p) be the third derivative of p**6/120 - 3*p**5/4 - 149*p**4/12 - 68*p**3 - 4*p**2 + 4*p - 31. Factor v(y).
(y - 51)*(y + 2)*(y + 4)
Let p(n) be the second derivative of n**6/6 + 681*n**5/4 + 290695*n**4/6 + 95200*n**3 - 578000*n**2 + 4875*n. Factor p(d).
5*(d - 1)*(d + 2)*(d + 340)**2
Let u(p) be the second derivative of -p**6/240 + 7*p**5/120 + p**4/48 - 7*p**3/12 + 85*p**2/2 - 2*p - 26. Let c(m) be the first derivative of u(m). Factor c(g).
-(g - 7)*(g - 1)*(g + 1)/2
Let f = 744 + -584. Let q be ((-64)/f)/((-3)/90). Determine t, given that 0*t + 4/3*t**2 + q*t**4 - 22/3*t**3 + 0 - 6*t**5 = 0.
0, 1/3, 2/3, 1
Let g(a) be the second derivative of -5*a**4/12 + 340*a**3 - 104040*a**2 + 613*a + 1. Factor g(l).
-5*(l - 204)**2
Suppose 0 = k - 4*m + 12, -12 = 4*k + m + m. Let y be (32/12)/k*35/(-14). Let -20/3*d + 11/2*d**2 + 1/6*d**4 + 8/3 - y*d**3 = 0. Calculate d.
1, 4
Suppose 3*r**3 - 43*r**2 + 2*r**3 + 60 + 5*r**3 - 18*r**3 + 175*r**2 - 184*r = 0. Calculate r.
1/2, 1, 15
Let u(x) be the third derivative of 2 + 3/8*x**6 + 11*x**2 + 0*x + 1/10*x**5 + 13/70*x**7 + 0*x**3 + 0*x**4. Factor u(i).
3*i**2*(i + 1)*(13*i + 2)
Let h(k) be the third derivative of -k**6/540 - 164*k**5/45 - 2223*k**4 + 976144*k**3/27 + 4*k**2 - 2*k - 1. Factor h(v).
-2*(v - 4)*(v + 494)**2/9
Suppose -13*c - 6*c + 66 = -67. Let o(k) be the third derivative of 0 + 3/20*k**4 + 7/300*k**6 + 1/525*k**c + 1/10*k**5 + 0*k**3 + 0*k - k**2. Factor o(q).
2*q*(q + 1)*(q + 3)**2/5
Let d(l) be the first derivative of 2*l**6/3 + 68*l**5/5 - 38*l**4 + 8*l**3/3 + 74*l**2 - 76*l - 3666. Suppose d(t) = 0. Calculate t.
-19, -1, 1
Let h(m) be the first derivative of 20/3*m**3 + 83 + 0*m**4 + 5/6*m**6 + 0*m**2 + 0*m - 3*m**5. Factor h(a).
5*a**2*(a - 2)**2*(a + 1)
Suppose 4*d + s + 212 + 59 = 0, -4*s = 4*d + 280. Let n = d - -102. Factor n*h**4 + 64*h**2 + 36*h**2 - 158*h**3 + 43*h**3 - 13*h - 7*h.
5*h*(h - 2)*(h - 1)*(7*h - 2)
Factor -8*r**3 - 58*r + r**4 - 3*r**4 - 7 - 2*r**2 + r**5 + 65*r + 9 + 2.
(r - 4)*(r - 1)*(r + 1)**3
Let v(t) = -865935*t**2 - 10577*t - 25. Let x(g) = -1298902*g**2 - 15862*g - 38. Let z(b) = 10*v(b) - 7*x(b). Find c such that z(c) = 0.
-2/329
Factor -408*i**2 - 332928*i - 90556416 - 1/6*i**3.
-(i + 816)**3/6
Suppose -4*d + 8 = 0, 350 + 534 = i - 5*d. Solve -2*l**3 + i + 0*l**3 - 904 + 2*l + 10*l**2 = 0.
-1, 1, 5
What is c in -181116 - 87*c**2 + 7*c**3 - 138*c - 10*c**3 + 181764 = 0?
-27, -4, 2
Let f(d) = -35*d**3 - 2326*d**2 + 4814*d - 2396. Let o(p) = 15*p**3 + 997*p**2 - 2063*p + 1027. Let w(i) = 8*f(i) + 19*o(i). Factor w(c).
5*(c - 1)**2*(c + 69)
Suppose 33 = -27*n + 141. Factor -19*v + 67*v - n*v + 4*v**2 + 784 + 68*v.
4*(v + 14)**2
Let g(m) be the first derivative of 136*m**5/11 + 579*m**4/22 + 284*m**3/33 - 93*m**2/11 + 8*m/11 - 4060. Determine c, given that g(c) = 0.
-1, 4/85, 1/4
Let j(s) be the first derivative of s**3/4 - 189*s**2/8 - 735*s/2 - 1841. Factor j(h).
3*(h - 70)*(h + 7)/4
Let a = -89516 - -447581/5. Factor -a*i**3 - 6/5*i**2 + 0 + 0*i.
-i**2*(i + 6)/5
Let q(r) be the third derivative of -r**7/525 + 19*r**6/50 + 98*r**5/25 + 83*r**4/6 + 119*r**3/5 - 1560*r**2. Determine x, given that q(x) = 0.
-3, -1, 119
Let f = -401 + 427. Let z(k) = k**2 - 24*k - 52. Let b be z(f). Factor 1/5*o**5 + b - 1/5*o**4 + 0*o - 2/5*o**3 + 0*o**2.
o**3*(o - 2)*(o + 1)/5
Suppose -420 = -4*k + 3*b, 2*b + 212 = -0*k + 2*k. Let p = 104 - k. Suppose 3/2 + 1/2*l + 1/6*l**3 - 5/6*l**p = 0. What is l?
-1, 3
Let j = -1488274/7 + 212614. Factor 0 + 16/7*u - j*u**2 + 12/7*u**3 - 2/7*u**4.
-2*u*(u - 2)**3/7
Let b(l) be the third derivative of 3/2*l**6 + 7*l**2 + 5/756*l**8 +