at is r?
1, 3, 230
Suppose 10643*w - 12903*w + 4520 = 0. Solve 2/11*v**w - 292/11*v + 10658/11 = 0.
73
Determine n so that -48*n**4 - n**5 + 2*n**5 + 42*n**4 - 12*n**2 - 203*n**3 + 224*n**3 - 4*n**5 = 0.
-4, 0, 1
Factor 105 - 10*t**3 - 12*t**4 - 230*t - 15*t**4 + 29*t**4 - 7*t**4 + 140*t**2.
-5*(t - 3)*(t - 1)**2*(t + 7)
Let s(g) be the third derivative of -g**6/1380 - 37*g**5/690 + 17*g**4/23 - 84*g**3/23 + g**2 + 613. Factor s(h).
-2*(h - 3)*(h - 2)*(h + 42)/23
Suppose 10*q + 36 - 116 = 0. Let 48 + q*m**3 + 76*m**2 + m**4 - 5*m**4 - 44*m + 156*m = 0. What is m?
-2, -1, 6
Let s(w) = 3*w**2 + 2*w + 1. Let m be s(-2). Let c be m/((-1)/((-2)/3)). Solve -3*a**5 + 55*a**2 + 54*a**3 - 3*a + 27 - 151*a**2 - 45 + 72*a - c*a**4 = 0.
-6, 1
Let j(l) = -l**2 + 41*l - 78. Let c be j(39). Factor -5*q**2 + 11*q**2 - 10*q - q**2 + c*q**2.
5*q*(q - 2)
Let p(o) be the first derivative of 4/3*o + 4*o**3 + 8/15*o**5 - 6 - 10/3*o**2 - 7/3*o**4. Factor p(w).
4*(w - 1)**3*(2*w - 1)/3
Suppose -3*t - 9 = -2*b, 7*b + 2*t - 10 = 3*b. Solve 0*q + 4/3*q**4 - 2*q**b + 0 + 0*q**2 + 2/3*q**5 = 0.
-3, 0, 1
Suppose 0 = 51*i - 57*i + 18. Solve 4*u**i + 4 - 3*u**2 - 8*u**3 + 5*u**3 = 0 for u.
-1, 2
Let f(d) be the first derivative of 5*d**9/3024 - 5*d**8/336 + d**7/21 - d**6/18 - 2*d**3/3 + 49. Let y(p) be the third derivative of f(p). Factor y(g).
5*g**2*(g - 2)**2*(g - 1)
What is d in 56*d**2 + 26*d + 13 - d**5 + 30*d + 34*d**3 - 3 + 6*d**4 - 4*d - 13*d = 0?
-1, 10
Let k(l) = 2*l**3 - 14*l**2 + 9. Let h be k(14). Determine j so that -21*j + h - 3*j**2 - 2753 = 0.
-7, 0
Let b be (-2 + (7 + -5 - -10))*1486848/3200. Solve -528/5*x + b + 3/5*x**2 = 0.
88
Suppose 1186*l - 29424 = -26*l - 1240*l. Factor -l*w + 3/2*w**4 - 3/2*w**3 - 15*w**2 + 0.
3*w*(w - 4)*(w + 1)*(w + 2)/2
Let v = -3299 + 3301. Let d(q) be the third derivative of 0 - 2*q**v - 2/27*q**3 + 1/135*q**5 - 1/540*q**6 + 1/108*q**4 + 0*q. Determine s so that d(s) = 0.
-1, 1, 2
Let x(w) be the second derivative of w**9/441 + w**8/5880 + 5*w**3/2 - w**2 + 3*w - 3. Let r(a) be the second derivative of x(a). Factor r(h).
2*h**4*(24*h + 1)/7
Let p be (16/12)/(2/3). Determine a so that -28*a - a**2 - 7*a**p + 10*a**2 + 26 = 0.
1, 13
Let s = -5033 + 7054. Solve 12 + s*y**3 - 2042*y**3 - 39*y + y**4 + 2*y**4 + 45*y**2 = 0 for y.
1, 4
Suppose -5*g + o + 25 = 0, -3*o - 4 = -5*g + 21. Let -54*y**3 + 30*y**3 + 42*y**2 + 21*y + 0*y**5 - 30 + 3*y**g - 12*y**4 = 0. What is y?
-2, -1, 1, 5
Let r be (-1)/((-1)/7) + -19. Let f be ((-64)/(-12) - 5)/((-26)/r). Factor 0 - 2/13*c + f*c**2.
2*c*(c - 1)/13
Let y = 74563/15 - 24851/5. Solve y*l**2 - 26*l + 76/3 = 0.
1, 38
Let w(l) be the second derivative of -l**4/4 + 3*l**3/2 + 162*l**2 + 192*l - 7. Factor w(i).
-3*(i - 12)*(i + 9)
Let j(x) be the first derivative of 0*x**2 + 47 + 1/12*x**3 - 9/4*x. Factor j(a).
(a - 3)*(a + 3)/4
Factor 200/3 + 578/3*k**4 + 1972*k**3 + 1160*k + 15818/3*k**2.
2*(k + 5)**2*(17*k + 2)**2/3
Let w(b) be the second derivative of 0*b**3 - 2/3*b**4 + 10*b + 0*b**2 + 3 + 1/5*b**5. Factor w(h).
4*h**2*(h - 2)
Let i(y) = -y + 5*y**2 - 4*y + y + 2*y. Let t be (-2)/(-8) + 21/(-4). Let j(k) = 4*k**2 - 2*k. Let q(x) = t*i(x) + 6*j(x). Suppose q(g) = 0. What is g?
-2, 0
Suppose 10*a = 1678 - 1638. Let o(q) be the second derivative of 0 - 1/6*q**3 - 1/4*q**2 - 17*q - 1/24*q**a. Factor o(r).
-(r + 1)**2/2
Suppose 0*v - 6*v + 102 = 0. Factor 12*z**4 + 7*z - 72*z**3 - v*z + 63*z**2 - 5*z.
3*z*(z - 5)*(2*z - 1)**2
Let y(q) be the third derivative of 1/105*q**7 + 4/5*q**5 - 102*q**2 + 1/6*q**6 + 0*q**3 + 0*q + 0*q**4 + 0. Factor y(k).
2*k**2*(k + 4)*(k + 6)
Let v(z) = z**3 - 11*z**2 + 11*z + 11. Let h be v(10). Let w(q) = -2*q + 44. Let t be w(h). Factor 0*r**2 - 4*r**3 - 2*r**2 + 2*r**t + 4*r.
-4*r*(r - 1)*(r + 1)
Factor -48/19 + 2/19*d**3 - 28/19*d + 22/19*d**2.
2*(d - 2)*(d + 1)*(d + 12)/19
Let m(n) be the second derivative of -529/2*n**2 - 76*n - 23/3*n**3 - 1/12*n**4 + 0. Let m(z) = 0. What is z?
-23
Let v be (-2)/24*(-1472)/322*(-49)/(-21). Factor -14/9*c**2 - 4/9*c**3 - v*c + 8/9.
-2*(c + 2)**2*(2*c - 1)/9
Solve 58/3*s**2 + 56/3*s + 0 + 2/3*s**3 = 0.
-28, -1, 0
Let b(s) be the third derivative of 0 + 0*s**3 + 1/160*s**5 + 0*s + 9/32*s**4 + 19*s**2. Factor b(x).
3*x*(x + 18)/8
Suppose -4*h = 21 + 43. Let b = h - -20. Suppose -4*o**4 - 2*o**2 + 5*o**b + 4*o**2 + o**4 - 4*o**3 = 0. Calculate o.
0, 1
Factor 292/7*f - 97/7 - 1/7*f**4 + 100/7*f**3 - 42*f**2.
-(f - 97)*(f - 1)**3/7
Suppose 41*v - 47 + 170 = 0. Let k be 2 + (-16 - -17)/(v/(-6)). Factor 12 - 3/2*a**3 - 2*a**k + 17*a**2 - 26*a + 1/2*a**5.
(a - 2)**3*(a - 1)*(a + 3)/2
Let h(s) be the third derivative of s**4/24 + 13*s**3/3 + 15*s**2. Let b be h(8). Let 11*u + 2*u**2 + 6 + 2*u**2 + b + 17*u = 0. What is u?
-5, -2
Let s be (18/(-4))/(2/12) - 3. Let q = s + 33. Factor 26*u**4 - 23*u**4 - 3*u**2 + 2*u**5 - 5*u**5 + q*u**3.
-3*u**2*(u - 1)**2*(u + 1)
Factor 20*g**4 - 1616*g**2 + 866*g**3 + 5206*g + 266*g**3 + 5681*g - 10423*g.
4*g*(g - 1)*(g + 58)*(5*g - 2)
Let h(r) = 8*r**4 - r**3 + r**2 + r - 1. Let t(u) = -57*u**4 + 18*u**3 - 13*u**2 - 151*u + 7. Let i(w) = -21*h(w) - 3*t(w). Solve i(v) = 0 for v.
-3, 0, 6, 8
Suppose -9*g**3 - 448*g**2 - 1856 + 52*g**3 + 1840*g + 51*g**3 - 98*g**3 = 0. What is g?
-116, 2
Let a = 10326/11851 + -24/1693. Find p, given that 9/7*p**3 + 0 - 24/7*p**2 + 9/7*p + a*p**4 = 0.
-3, 0, 1/2, 1
Let z(a) be the first derivative of -a**5/40 + 23*a**4/24 - 10*a**3 - 36*a**2 - 48*a + 43. Let r(n) be the first derivative of z(n). Factor r(d).
-(d - 12)**2*(d + 1)/2
Suppose -12 + 9 = -n. Let -m**n - 42*m - 272*m - 39*m**2 - 2197 - 193*m = 0. What is m?
-13
Let h(k) = -27*k + 137. Let d be h(5). Factor -5*w**5 + 896*w**2 - 63*w**4 - 2916*w - 648 + 321*w**4 + 15*w**5 + 1401*w**3 + 994*w**d + 5*w**5.
3*(w - 1)*(w + 6)**3*(5*w + 1)
Let h = 425 + -422. Suppose 4*s - 5*s - h*b - 6 = 0, 5*s + 2 = -b. Factor s + 1/4*u**2 - 1/8*u - 1/8*u**3.
-u*(u - 1)**2/8
Let y(a) be the first derivative of 1/45*a**6 - 51 - 1/9*a**4 - 20*a + 0*a**5 + 0*a**3 + 1/3*a**2. Let m(k) be the first derivative of y(k). Factor m(q).
2*(q - 1)**2*(q + 1)**2/3
Let z(w) = -9*w + 56. Let n be z(6). Solve -12*a - 1771 + 1771 + a**n = 0 for a.
0, 12
Factor 5*w**2 + 1592*w + 10*w**2 - 8*w**2 + 530 - w**2.
2*(w + 265)*(3*w + 1)
Suppose 3*p = -c + 40, p - 3*p = 2*c - 24. Find z such that -11 + p*z**2 - 66*z - 2*z**3 + 58*z - 13 = 0.
-1, 2, 6
Let q(g) be the first derivative of -5*g**3 - 12305*g**2/2 - 4100*g + 5987. Suppose q(u) = 0. Calculate u.
-820, -1/3
Suppose l - 2*w = 5, l + 5*w - 4 - 1 = 0. Suppose l*t + n - 3*n - 4 = 0, 5*t - 7 = n. Suppose -3*z + 6*z - z - 5*z + z**t + 2 = 0. What is z?
1, 2
Factor -48 - 16/3*q**2 - 28*q - 1/3*q**3.
-(q + 4)*(q + 6)**2/3
Let s(j) be the second derivative of -j**6/900 - 2*j**5/75 - 4*j**4/15 + j**3/6 + 57*j**2 + j. Let m(z) be the second derivative of s(z). Factor m(h).
-2*(h + 4)**2/5
Let h(l) be the second derivative of -1/4*l**4 - 1/40*l**5 + 7 + 0*l**2 - 10*l + 7/12*l**3. Factor h(k).
-k*(k - 1)*(k + 7)/2
Suppose -3*j = c + j + 18, 2*c + 42 = -5*j. Let f be (-45)/180 - c/8. Factor 2/3*g + 1/3*g**f + g**2 + 0.
g*(g + 1)*(g + 2)/3
Let c(i) be the first derivative of 2*i**3/3 + 28*i**2 + 54*i - 2143. Factor c(k).
2*(k + 1)*(k + 27)
Let r(i) be the first derivative of -11/2*i**2 + 34/3*i - 86 - 1/9*i**3. Factor r(o).
-(o - 1)*(o + 34)/3
Let s(p) = p**2 - 200*p + 220. Let o(v) = 3*v**2 - 800*v + 874. Let f(g) = -6*o(g) + 22*s(g). Factor f(a).
4*(a - 1)*(a + 101)
Let l(j) be the first derivative of -j**3/3 + 157*j**2 - 313*j + 1049. Factor l(z).
-(z - 313)*(z - 1)
Solve -3*t**2 + 3*t**4 + 0 + 27/2*t - 1/6*t**5 - 40/3*t**3 = 0.
-1, 0, 1, 9
Let w(u) = u**2 - u - 1. Let t(m) = 7 + 3*m**2 + 0*m**2 + 13*m + 0*m - 6*m. Let h be 1 + 16/(-4) + 2. Let v(p) = h*w(p) + t(p). Let v(c) = 0. Calculate c.
-2
Factor 18/7*h + 0 - 10/7*h**3 - 11/7*h**2.
-h*(h + 2)*(10*h - 9)/7
Find c such that 5*c**3 + 30*c**3 + 10176 - 10286 - 430*c**2 + 835*c - 330*c = 0.
2/7, 1, 11
Factor -922793*a - 26*a**2 + 500 - 9*a**2 + 923648*a.
-5*(a - 25)*(7*a + 4)
Let q(y) = -8121*y + 56852. Let b be q(7). Factor 1/2*m**4 + 0 + 1/4*m**b - m**3 - 1/2*m**2 + 3/4*m.
m*(m - 1)**2*(m + 1)*(m + 3)/4
Let u be (-12)/(-8) - (-39)/6. Suppose 0 = 4*p - 4*y