q + 80*q**2 + 257*q - 154*q.
4*(q + 3)*(q + 4)*(q + 13)
Let x be (-34)/204 - (1106/12)/(-7). Let g(a) = -11*a**2 - 16*a - 30. Let n(l) = -24*l**2 - 32*l - 59. Let b(z) = x*g(z) - 6*n(z). Factor b(c).
(c - 18)*(c + 2)
Let z = 14348105417/1130 - 12697440. Let x = 5/226 - z. Let -2/5*l**2 + x*l - 6/5 = 0. What is l?
1, 3
Let k(g) be the first derivative of g**6/30 + 2*g**5/5 + 3*g**4/2 + 8*g**3/3 + 5*g**2/2 + 6*g/5 + 810. Solve k(o) = 0.
-6, -1
Suppose -2*q - 2*q + 20 = 0. Let z = 6957/2 + -3478. Determine i so that z*i**2 - q*i + 25/2 = 0.
5
Let l(y) = 8*y**2 - 6*y + 1. Let q be l(1). Determine x, given that -12*x - 54 + 89*x**2 + 51 - 108*x**q + 34*x**2 = 0.
-1/9, 1/4, 1
Let v be 10/6*585/75. Let u(q) be the second derivative of 2/5*q**2 - 1/50*q**5 + 2/15*q**4 + v*q + 0 - 1/3*q**3. Solve u(c) = 0.
1, 2
Let m be (4 - 6) + (1 - 4 - 2). Let l(r) = -r**2 - 5*r + 14. Let j be l(m). What is o in 0 + 2*o**2 + j*o - 2/3*o**4 + 4/3*o**3 = 0?
-1, 0, 3
Let g(p) = 78*p**2 + 2034*p - 132. Let d(s) = 105*s**2 + 2032*s - 131. Let z(m) = 4*d(m) - 5*g(m). Solve z(v) = 0 for v.
1/15, 68
Let c(y) be the second derivative of -y**6/90 + 7*y**5/30 - 16*y**4/9 + 19*y**3/3 - 21*y**2/2 - 440*y. Let c(d) = 0. What is d?
1, 3, 7
Let q(c) be the first derivative of 256*c + 56/5*c**5 + 352*c**2 + 73*c**4 + 2/3*c**6 + 688/3*c**3 - 102. Factor q(w).
4*(w + 1)**2*(w + 4)**3
Let a be 18/(-15)*(-63 - (-53640)/855). Solve 8/19*d**4 + a*d - 10/19*d**2 + 2/19 - 6/19*d**3 = 0.
-1, -1/4, 1
Let s(a) = 0*a - 1644 + 1657 - 13*a. Let w be s(1). Solve 0*t - 2/11*t**4 + w + 4/11*t**3 - 2/11*t**2 = 0 for t.
0, 1
Let b = 102 + -7. Suppose -2*h = 2*g - 230, b + 143 = 2*h - 2*g. Factor 232*x - h*x + 9*x**3 + 6*x**2 - 118*x.
3*x*(x + 1)*(3*x - 1)
Let v(g) = 12*g - 131. Let l be v(12). Suppose -16 = 5*j - l*j. Determine x so that 0 + 9/7*x**j - 3/7*x**3 - 6/7*x = 0.
0, 1, 2
Factor 0*v - 25/2*v**2 + 0 - 169/2*v**4 + 65*v**3.
-v**2*(13*v - 5)**2/2
Let g(p) = -3*p**3 - p + 1. Let u(b) = -42*b**3 - 83*b**2 - 71*b - 5. Let j(d) = -14*g(d) + 2*u(d). Factor j(f).
-2*(f + 3)*(3*f + 2)*(7*f + 2)
Let b(p) be the third derivative of 0*p - 1/70*p**7 + 3*p**4 + 10*p**3 + 0 - 1/20*p**5 + 229*p**2 - 3/20*p**6. Determine x, given that b(x) = 0.
-5, -2, -1, 2
Determine q so that -2170/13*q + 136/13*q**2 - 4900/13 - 2/13*q**3 = 0.
-2, 35
Let u(g) = -g**3 + 8*g**2 + 507*g + 896. Let s be u(0). Find n such that -s*n - 6/5*n**3 - 3136/5 + 332/5*n**2 = 0.
-2/3, 28
Let v(q) be the second derivative of q**8/7560 + q**7/1890 + q**6/1620 + 28*q**3/3 + q - 8. Let o(h) be the second derivative of v(h). Factor o(w).
2*w**2*(w + 1)**2/9
Let o(c) = -24*c**2 + 17*c - 220. Let d(p) = -14*p**2 + 8*p - 110. Let v(r) = 7*d(r) - 4*o(r). Find b, given that v(b) = 0.
-11, 5
Let v(q) be the second derivative of -q**4/8 - 11*q**3/4 + 63*q**2/2 + 2392*q. Let v(m) = 0. Calculate m.
-14, 3
Factor 0*g - g**2 + 1/7*g**3 + 0.
g**2*(g - 7)/7
Let w be 25/52 - 156/676. Find p, given that -19/8*p**4 - 13/8*p**3 - 5/4 + 11/8*p + w*p**5 + 29/8*p**2 = 0.
-1, 1/2, 1, 10
Let t = -2171369/4 - -542843. What is b in -11/4*b**4 - t*b**5 - 1 + 15/4*b**2 - 5/4*b**3 + 2*b = 0?
-2, -1, 1/3, 1
Let x(a) = -a**3 + 11*a**2 + 5*a + 2. Let f be x(0). Let q be ((-4)/24)/(1/(-16)). Factor 8/3*v**3 - 1/3 + 16/3*v**4 - q*v - 5*v**f.
(v - 1)*(v + 1)*(4*v + 1)**2/3
Let i(b) be the second derivative of b**4/28 - 93*b**3/7 + 6663*b. Factor i(m).
3*m*(m - 186)/7
Suppose 6*m + 7 = 25. Factor 359*a**2 - 35*a**m - 7*a**4 - 349*a**2 - 13*a**4.
-5*a**2*(a + 2)*(4*a - 1)
Let r(c) be the second derivative of c**7/630 + c**6/9 + 19*c**5/30 + c**4/12 - 39*c. Let s(l) be the third derivative of r(l). Factor s(u).
4*(u + 1)*(u + 19)
Let w(u) be the third derivative of u**5/45 - 11*u**4/12 - 6*u**3 + 8*u**2 + 28*u - 1. Factor w(j).
2*(j - 18)*(2*j + 3)/3
Let v(p) be the second derivative of 3/2*p**4 + 1/5*p**5 - 4/21*p**7 - 3/5*p**6 + 90*p + 0*p**2 + 0 + 2/3*p**3. Suppose v(g) = 0. What is g?
-2, -1, -1/4, 0, 1
Find l, given that -29*l**2 - 95*l**2 - 43*l - 750*l**3 + 742*l**3 - 69*l + 4*l**4 = 0.
-4, -1, 0, 7
What is d in 30/7 - 1/7*d**3 - 47/7*d + 18/7*d**2 = 0?
1, 2, 15
Let m be (355/12780)/((-1)/(-8)). Factor -26/9*i + 28/9 - m*i**2.
-2*(i - 1)*(i + 14)/9
Suppose -3*k - s = -6*k + 5, k + s - 7 = 0. Suppose 4*u - 8 - 20 = 0. Factor -2 + u*l**3 + 11*l**4 - 45*l**k - 5*l**5 - 32*l**2 - 13*l - 33*l**4 + 0.
-(l + 1)**4*(5*l + 2)
Let w(x) = x**2 - 32 - 2210*x + 2223*x - 2*x**2. Let u(q) = 2*q**2 - 14*q + 35. Let y(g) = 2*u(g) + 3*w(g). Determine s so that y(s) = 0.
-13, 2
Let j(a) be the third derivative of -a**8/112 - 9*a**7/35 - 31*a**6/20 - 22*a**5/5 - 57*a**4/8 - 7*a**3 + 152*a**2 - 2*a. Suppose j(h) = 0. What is h?
-14, -1
Let v(m) = 2*m**3 - 7*m**2 - 6*m + 4. Let h be v(8). Suppose -15*d = -h - 1643. Find j such that -4*j**2 - d*j - 5 + 173*j - 19 = 0.
1, 6
Let c be 1/(-2)*-246*(-14)/6. Let a = c - -1437/5. Factor 6/5*q - 4/5 - a*q**2.
-2*(q - 2)*(q - 1)/5
Let s = 14 + -12. Solve 6*f - 6 - s + 2*f + 2*f**2 + 14 = 0 for f.
-3, -1
Let x be (-2)/6 - 484/(-12). Suppose -12 = 4*q - x. Factor -m + q*m + 2 - 2*m + 2*m**2.
2*(m + 1)**2
Suppose -2*c + 4 = -x, -2*c + c = x - 2. Let m = 1108 + -1106. Factor 5*r**4 + 6*r - m*r - r**4 + 12*r**c + 12*r**3.
4*r*(r + 1)**3
Determine n, given that 42*n**2 - 74/5*n**3 + 8/5*n**4 - 208/5*n + 8 = 0.
1/4, 2, 5
Suppose -18144 = 11*z - 38*z. Let l be (-16)/z*8*(-6)/4. Find c, given that 0 + 10/7*c - l*c**2 = 0.
0, 5
Let w(l) be the third derivative of -1/150*l**5 + 1/30*l**4 - 2 + 0*l - 47*l**2 + 0*l**3. Factor w(x).
-2*x*(x - 2)/5
Suppose 2*w = 4*w - 24. Suppose -2*z + w = l, -l + 60 = 4*l + 3*z. Factor -59*n**2 + n + 32*n**2 - 5*n - 2*n - l*n**3.
-3*n*(n + 2)*(4*n + 1)
Let q(u) be the third derivative of -u**5/420 - 5*u**4/14 - 4*u**2 + 114*u. Factor q(d).
-d*(d + 60)/7
Factor 88360 + 2/5*r**2 - 376*r.
2*(r - 470)**2/5
Let r(y) be the first derivative of 1/1440*y**6 - 43 + 0*y**4 + 1/480*y**5 - 23/3*y**3 + 0*y**2 + 0*y. Let h(m) be the third derivative of r(m). Factor h(n).
n*(n + 1)/4
Let w(i) be the first derivative of 153 + 4*i**3 - 2/3*i**6 + i**4 - 12/5*i**5 + 0*i**2 + 0*i. What is n in w(n) = 0?
-3, -1, 0, 1
Let o(t) be the second derivative of -t**6/15 - 4*t**5/5 - 5*t**4/6 + 50*t**3/3 + 29*t + 20. Factor o(p).
-2*p*(p - 2)*(p + 5)**2
Let x(k) be the second derivative of k**6/6 - 17*k**5/4 + 155*k**4/4 - 345*k**3/2 + 405*k**2 - 371*k. Factor x(y).
5*(y - 9)*(y - 3)**2*(y - 2)
Suppose -4*q + 61*q**2 + q**5 - 4934 + 33*q**3 - 30*q + 4886 - 13*q**4 = 0. Calculate q.
-1, 1, 6, 8
Let k(u) be the third derivative of -u**6/675 + u**5/300 - 14*u**3/3 - 12*u**2 - u. Let t(x) be the first derivative of k(x). Factor t(s).
-2*s*(4*s - 3)/15
Let j(d) = -d**3 - 7*d**2 - 8*d + 8. Let l(a) be the second derivative of -a**4/2 - 3*a**3/2 + 9*a**2/2 + 63*a. Let p(w) = 3*j(w) - 4*l(w). Factor p(i).
-3*(i - 2)*(i - 1)*(i + 2)
Let q be (-2)/(((-30)/(-4))/(-15)). Suppose 2*w - w + q = 0, 0 = -g - 4*w - 16. Suppose g + 4/3*y - 2/3*y**2 = 0. Calculate y.
0, 2
Let g(m) = m. Let u(s) = 4*s + 10. Let y(j) = -10*g(j) + 2*u(j). Let b be y(9). Factor -4 - 3 + 2 + 3*p**b + 2.
3*(p - 1)*(p + 1)
Let c(h) be the second derivative of -h**4/12 - 7*h**3/6 - 4703*h. Factor c(o).
-o*(o + 7)
Let d(i) be the first derivative of 3*i**5/140 + i**4/7 - 11*i**3/14 + 9*i**2/7 - 15*i - 92. Let s(p) be the first derivative of d(p). Factor s(l).
3*(l - 1)**2*(l + 6)/7
Let o(t) = -3*t**3 - t**2 - t. Let x be o(-1). Suppose -n = -2*r + 4, 0 = -3*r - x*n + 1 + 5. What is i in 3*i**3 - i**3 + i**3 - 8*i - i**3 - 6*i**r = 0?
-1, 0, 4
Let m(v) = 67*v + 395. Let l be m(-6). Let d(f) = -118*f**2 + 406*f + 167. Let x(t) = 38*t**2 - 135*t - 56. Let p(c) = l*x(c) - 2*d(c). Factor p(h).
-(5*h + 2)*(6*h - 29)
Let a be (-7)/(-4) - 66/(-6864)*26. Let f be 3/24*(0 - -6). Determine s, given that -f*s + 0 - 3*s**3 + 15/4*s**a = 0.
0, 1/4, 1
Let d = 1430 + -1439. Let f be 0*(0 + d/27). Factor -1/2*w**4 + 0 + 0*w**3 + 0*w**2 + f*w.
-w**4/2
Let x(z) be the first derivative of 7*z**4/2 - 1124*z**3/3 + 1777*z**2 - 924*z - 8652. Factor x(v).
2*(v - 77)*(v - 3)*(7*v - 2)
Let j be (12/8 + 0)/((-27)/((-15)/5)). Let t(z) be the first derivative of 1/3*z**2 - 2/9*z**3 + 2/3*z - j*z**4 - 18. Factor t(m).
-2*(m - 1)*