?
0, 1/2, 1
Let n be -2 + (-18)/(-10) + (-33)/(-15). Let g(s) = 3*s**2 - 18*s - 27. Let q(c) = 8*c**2 - 53*c - 82. Let r(i) = n*q(i) - 7*g(i). Factor r(t).
-5*(t - 5)*(t + 1)
Let 3*h**2 + 156 - 43 - 3*h**2 - 85 - 26*h - 2*h**2 = 0. What is h?
-14, 1
Let f(i) = i**3 - 7*i**2 - 9*i - 1. Let u be f(8). Let j be (u - 138/(-18))/((-2)/6). Factor 0 + 0*w + 3/4*w**2 + 3/4*w**j - 3/2*w**3.
3*w**2*(w - 1)**2/4
Let d(f) be the second derivative of 0 + 11*f - 3/2*f**2 + 0*f**3 + 1/4*f**4. Suppose d(q) = 0. Calculate q.
-1, 1
Let f(x) be the third derivative of -x**7/1470 - x**6/140 + 11*x**5/420 + 5*x**4/14 - 50*x**3/21 + 11*x**2. Factor f(c).
-(c - 2)**2*(c + 5)**2/7
Let j be (-12)/(-22) + -441*32/(-20592). Factor 10/13*h**2 - j*h + 8/13 - 2/13*h**3.
-2*(h - 2)**2*(h - 1)/13
Let f(m) = m**3 + 649*m**2 + 658*m + 15. Let x(l) = -l**3 - 973*l**2 - 986*l - 21. Let d(y) = -7*f(y) - 5*x(y). Factor d(v).
-2*v*(v - 162)*(v + 1)
Factor 18*g**2 + 87 - 56*g - 12*g**2 - 27 - 10*g**2.
-4*(g - 1)*(g + 15)
Let l(u) = 3*u**3 - 33*u**2 + 187*u - 240. Let s(d) = -d**3 + 16*d**2 - 94*d + 120. Let i(x) = 6*l(x) + 13*s(x). Suppose i(b) = 0. Calculate b.
-6, 2
Let b(p) = 13*p**4 - 486*p**3 - 502*p**2 + 496*p + 509. Let h(q) = -7*q**4 + 242*q**3 + 250*q**2 - 248*q - 255. Let u(w) = -3*b(w) - 5*h(w). Factor u(g).
-4*(g - 63)*(g - 1)*(g + 1)**2
Let u be -74 - (-8 + 4 - -3)*4. Let y = 70 + u. What is n in -1/2*n + 0 + 1/2*n**5 + n**2 + y*n**3 - n**4 = 0?
-1, 0, 1
Let b(j) be the second derivative of -j**7/28 + 3*j**6/10 - 27*j**5/40 + j**4/2 - 2*j - 71. Factor b(v).
-3*v**2*(v - 4)*(v - 1)**2/2
Let f be 162/45*8/48. Factor -f*c**2 + 12/5*c - 12/5.
-3*(c - 2)**2/5
Suppose -5*p + 73 - 23 = 0. Suppose -6 = -4*u + p. Determine x, given that 0 + 3/4*x**u + 0*x - 3/2*x**3 + 3/4*x**2 = 0.
0, 1
Let r = 7/1741 - -3461/5223. Factor -r - 4/3*g - 2/3*g**2.
-2*(g + 1)**2/3
Let u(y) = y**4 + 2*y**3 + 9*y**2 + 4. Let k(x) = -x**4 - x**3 - 7*x**2 - 3. Let c(s) = 4*k(s) + 3*u(s). Find o, given that c(o) = 0.
0, 1
Let d(o) = 9*o - 15. Let j be d(-5). Let n be (2 + j/27)*(-3)/3. Factor -n*f**3 + 4/9*f**2 + 0 - 2/9*f.
-2*f*(f - 1)**2/9
Let i be 0*(1 - (2 - 2)). Factor n**4 + 2*n**5 - n + i*n**2 - 3*n**5 - 2*n**2 + 258*n**3 - 256*n**3 + 1.
-(n - 1)**3*(n + 1)**2
Let w be -3*22/36 + 3. Let d(n) be the first derivative of 3/10*n**5 + 6 + 0*n + w*n**3 + 1/2*n**2 + n**4. Solve d(a) = 0.
-1, -2/3, 0
Let m be ((-1)/8*-10)/((-325)/(-520)). Factor 3/4*i**m - 3 + 9/4*i.
3*(i - 1)*(i + 4)/4
Factor 14/9 + 58/9*z + 2/3*z**3 + 50/9*z**2.
2*(z + 1)*(z + 7)*(3*z + 1)/9
Find m such that -38/13*m**4 - 98/13*m**2 - 2/13*m**5 - 102/13*m**3 + 0 - 32/13*m = 0.
-16, -1, 0
Let r(a) be the first derivative of 15*a**5 - 105/2*a**4 - 42*a**2 + 12*a - 16 + 69*a**3. Factor r(d).
3*(d - 1)**2*(5*d - 2)**2
Suppose 2*z - 13 = 13. Factor -8 + 18*f**2 - 27*f + z - 3*f**3 - 5.
-3*f*(f - 3)**2
Suppose -5 = g - 5*b, 2 = 2*g - 5*b + 7*b. Let p(d) be the second derivative of 7/4*d**3 - 9/40*d**5 + d + g - 1/4*d**4 - 3/2*d**2. Factor p(m).
-3*(m - 1)*(m + 2)*(3*m - 1)/2
Solve 0*i**4 - 15/2*i**3 + 5/4*i**5 - 10*i**2 + 0 - 15/4*i = 0.
-1, 0, 3
Let u(z) be the second derivative of 3*z**5/100 - 8*z**4/5 - z**3/10 + 48*z**2/5 + 146*z. Determine a so that u(a) = 0.
-1, 1, 32
Suppose 246 = 5*o - y, 3*y + 22 = -3*o + 184. Factor 500/3*w + o*w**2 + 1/6*w**4 + 0 + 5*w**3.
w*(w + 10)**3/6
Let f(r) = r - 8. Let u be f(10). Factor -103 + 98 - 3*w**2 + 14*w - 2*w**u - 4*w.
-5*(w - 1)**2
Let p(f) be the first derivative of f**6/100 - 11*f**5/300 + f**4/30 - 2*f**3 + 4. Let m(r) be the third derivative of p(r). Solve m(n) = 0 for n.
2/9, 1
Let c be (0/2)/(3*(-6)/(-9)). Suppose c = -4*q + 2*n - 3 + 5, -5*n - 5 = 0. Suppose 1/4*a**2 + 0*a + q = 0. What is a?
0
Suppose 54*x - 56*x = -6. Let -6*u**3 - 3*u**3 + 0*u**x + 11*u**3 - 2*u = 0. What is u?
-1, 0, 1
Let x(d) be the first derivative of 32/5*d - 4/15*d**3 + 10 - 4/5*d**2. Find o such that x(o) = 0.
-4, 2
Let m(z) = -z**4 - 37*z**3 - 128*z**2 - 149*z - 66. Let c(n) = -8*n**4 - 332*n**3 - 1152*n**2 - 1340*n - 596. Let s(b) = 3*c(b) - 28*m(b). Solve s(j) = 0.
-5, -3, -1
Suppose -5*q + i + 73 = 0, -5*i = q - 3*q + 43. Let j be (-12)/28 + 62/q. Determine r, given that -3*r**j + 3 + 3*r**3 + 12*r**2 + 21/2*r - 3/2*r**5 = 0.
-1, 2
Let m(l) be the first derivative of -1/30*l**5 - 10 + 1/18*l**3 + 1/6*l**2 + 1/36*l**6 + 0*l - 1/8*l**4. Find h, given that m(h) = 0.
-1, 0, 1, 2
Let l = 9/104 - 131/1560. Let i(s) be the third derivative of -l*s**5 - 1/13*s**3 - 11*s**2 + 0*s + 1/39*s**4 + 0. Find o, given that i(o) = 0.
1, 3
Let c = -27 + 33. Let w(r) be the first derivative of -1/2*r + c + 3/4*r**3 + 1/4*r**5 - 1/8*r**2 + 13/16*r**4. Factor w(y).
(y + 1)**3*(5*y - 2)/4
Factor -1/2*r**2 + 0 - 3*r.
-r*(r + 6)/2
Let p(a) = a**3 + a. Let l(g) = 4*g**2 + 2*g - 2. Let s be l(1). Let u(i) = 6*i**3 + 4*i**2 + 4*i. Let b(h) = s*p(h) - u(h). Factor b(w).
-2*w**2*(w + 2)
Let c(b) be the first derivative of 13 - 12*b - 10*b**2 - 1/2*b**6 + 23/4*b**4 + 11/3*b**3 + 1/5*b**5. Suppose c(k) = 0. What is k?
-2, -1, -2/3, 1, 3
Let m be (-228)/((-15)/25*(-20)/(-8)). Let y = 152 - m. Factor 1/6 - 1/3*o + y*o**2 + 1/3*o**3 - 1/6*o**4.
-(o - 1)**3*(o + 1)/6
Factor -2*m**2 - 16/3 - 8/3*m**3 + 28/3*m + 2/3*m**4.
2*(m - 4)*(m - 1)**2*(m + 2)/3
Let a = 1781 - 8889/5. Find v such that 0 - a*v + 56/5*v**2 - 12*v**3 + 18/5*v**4 = 0.
0, 2/3, 2
Let l(n) = -n**2 - 4*n + 1. Let w be l(-3). Let d be 5 + (-1 - (w + -2)). Find y such that -4*y**2 - y**d - 2*y**3 + 5*y**3 + 4*y**3 - 3*y**4 + y = 0.
0, 1/3, 1
Let d(f) = -3*f. Let a be d(-4). Suppose -a = -v - 3*v. Determine u so that 6*u**5 + v*u**4 - 2*u**4 + 2*u**2 - 7*u**5 - 3*u**2 + u**3 = 0.
-1, 0, 1
Let v(k) be the second derivative of 0*k**4 + 0*k**5 + 0 + 1/231*k**7 + 0*k**6 + 0*k**2 + 17*k + 0*k**3. Factor v(y).
2*y**5/11
Determine r so that 44/7*r**2 - 8/7*r - 4/7*r**4 + 0 + 16/7*r**5 - 48/7*r**3 = 0.
-2, 0, 1/4, 1
Let q(z) = -z**3 + 4*z**2 + 5*z + 2. Let c be q(5). Suppose 5*p - 6 = c*p. What is m in -22*m**2 - p*m**2 - 12*m**2 + 8*m = 0?
0, 2/9
Let m(s) be the first derivative of 1/6*s**3 - 3/4*s**2 - 7 + 1/10*s**5 - s + 3/8*s**4. Factor m(x).
(x - 1)*(x + 1)**2*(x + 2)/2
Let y(n) be the third derivative of -n**6/40 - n**5 - 25*n**4/2 - 2*n**2 - 63*n. Suppose y(o) = 0. What is o?
-10, 0
Let n(i) = -i**3 - 7*i**2 - 12*i - 5. Let v be n(-5). Find b such that -1 - 2 + 5*b**2 + v*b - 2*b**2 - 3*b**3 - 2*b = 0.
-1, 1
Let b be 1*(-182)/(-12) + (-5 - -6). Let o = -16 + b. Find p, given that o + 1/6*p - 1/6*p**3 - 1/6*p**2 = 0.
-1, 1
Let u be 385/(-165) - (-56)/21. Suppose 0*g**2 + 2/9*g**3 - u*g**4 + 0*g - 5/9*g**5 + 0 = 0. What is g?
-1, 0, 2/5
Factor 1587 + 5*p**2 - 34*p + 1538 - 52*p + 210*p + 126*p.
5*(p + 25)**2
Let m(w) be the first derivative of 2*w**5/65 + 85. Factor m(c).
2*c**4/13
Let t(z) = -12*z**5 + 4*z**4 + 3 - 5*z**4 - 2 + 11*z**5. Let m(o) = 3*o**5 + 5*o**4 + 4*o**3 - 2*o - 5. Let q(r) = m(r) + 5*t(r). Factor q(v).
-2*v*(v - 1)**2*(v + 1)**2
Let -5/6*r**3 - r**2 + 1/6*r**5 + 1/3*r**4 + 0*r + 0 = 0. What is r?
-3, -1, 0, 2
Let c(d) = 15*d**2 + 45*d + 8. Let h(v) = 10*v**2 + 30*v + 5. Let m(b) = -5*c(b) + 8*h(b). Factor m(a).
5*a*(a + 3)
Let r(q) = -6*q**3 + 18*q**2 - 96. Let s(n) = -7*n**3 + 18*n**2 - 96. Let m be 12/(-10)*(-45)/(-18). Let j(h) = m*s(h) + 4*r(h). Factor j(c).
-3*(c - 4)**2*(c + 2)
Suppose -4*m - 2*f = -0*m - 2, 3*m - f = 9. Suppose 7*g = m*g. Factor 1 - 3*x + g + x - 2 - x**2.
-(x + 1)**2
Let r be 6/(-8) - (-68)/85. Let o(h) be the third derivative of -r*h**4 + 0 + 0*h - 1/30*h**5 + 2/15*h**3 + 2*h**2. Factor o(u).
-2*(u + 1)*(5*u - 2)/5
Let p be ((-1)/(-2))/(6/96*4). Solve -i**3 + 8*i**2 + i**p - 8*i**2 - 2*i**2 = 0.
-1, 0
Let v = -3425/36 + -259/36. Let l = -101 - v. Solve 0 + 4/3*a**3 + 0*a + l*a**2 = 0 for a.
-1, 0
Let r(b) be the third derivative of b**5/90 + 2*b**4/9 + 16*b**3/9 + b**2 - 6*b. Suppose r(f) = 0. Calculate f.
-4
Let d(b) be the first derivative of -b**6/90 + 2*b**4/3 - 9*b**3 - 22. Let i(j) be the third derivative of d(j). Determine r so that i(r) = 0.
-2, 2
Let -180 - 375/2*j - 15/2*j**3 - 65*j**2 = 0. What is j?
-3, -8/3
Let r(g) be the third derivative of 3*g**5/20 - 5*g**4 + 13*g**3/2 + 195*g**2. Factor r(j).
3*(j - 13)*(3*j - 1)
Suppo