0
Let t(c) = -c**2 + 2*c + 15. Let b(m) = -m**2 + m + 12. Let i(d) = 5*b(d) - 4*t(d). Let o(h) = 9*h + 1. Let a(y) = -4*i(y) - o(y). Factor a(v).
(v + 1)*(4*v - 1)
Factor 878/11*r + 5/11*r**4 + 291/11 + 888/11*r**2 + 306/11*r**3.
(r + 1)**3*(5*r + 291)/11
Let a(v) = -6*v - 39. Let j(q) = -q - 1. Let c(u) = a(u) - 2*j(u). Let s be c(-10). Factor -4*r**3 - r**2 - 6*r**5 + 5*r**5 + s*r**3 - 2*r**3 - 3*r**4.
-r**2*(r + 1)**3
Let c(m) = -m**3 + 7*m**2 - 14*m + 132. Let d be c(7). Suppose -22*t + d = -5*t. Suppose 3/2*l**t + 18*l + 54 = 0. Calculate l.
-6
Suppose -23 = 2*j - 33. Let 2*t**3 - 3*t**3 + 12*t + 27*t**2 - 40 - 3*t**2 + j*t**3 = 0. Calculate t.
-5, -2, 1
Let z(u) be the third derivative of u**7/210 + 2*u**6/5 + 23*u**5/15 - 88*u**2 + 15. Factor z(d).
d**2*(d + 2)*(d + 46)
Let v(s) be the first derivative of -1/15*s**3 - 67 + 1/20*s**4 - 1/2*s**2 - 3/5*s. Factor v(y).
(y - 3)*(y + 1)**2/5
Let n = 317 + -313. Factor -2*y + 1 + 44*y**3 + 8*y**2 - 33 - 14*y - 32*y + n*y**5 + 24*y**4.
4*(y - 1)*(y + 1)*(y + 2)**3
Suppose -1372*w + 79 = -1348*w + 7. Suppose 3/4*g**4 + 0 + 0*g - 3/4*g**5 + 3/4*g**w - 3/4*g**2 = 0. What is g?
-1, 0, 1
Let i(p) be the first derivative of -13*p**3/24 - 79*p**2/16 - 3*p/4 + 798. Find c such that i(c) = 0.
-6, -1/13
Let r(a) be the second derivative of 39*a**5/100 + 341*a**4/20 + 455*a**3/2 + 1521*a**2/10 + 494*a - 1. Factor r(j).
3*(j + 13)**2*(13*j + 3)/5
Let a(c) be the first derivative of -c**4/2 - 26*c**3 - 36*c**2 + 152*c + 3794. Factor a(r).
-2*(r - 1)*(r + 2)*(r + 38)
Let j = -63 - -72. Suppose 18*s**3 + 83*s**2 + 96 + j*s**3 - 3*s**4 - 11*s**2 - 138*s**2 = 0. Calculate s.
-1, 2, 4
Let t(w) = -3*w**2 + 80*w - 428. Let j(y) = 14*y - 5. Let f(s) = -16*s + 6. Let h(m) = 6*f(m) + 7*j(m). Let v(k) = 4*h(k) - t(k). Factor v(r).
3*(r - 12)**2
Let k(o) be the first derivative of -20 + 0*o - 3/2*o**2 + 0*o**3 + 27/16*o**4. Factor k(p).
3*p*(3*p - 2)*(3*p + 2)/4
Let h(l) be the second derivative of l**7/378 - 2*l**6/135 - l**5/60 + 17*l**4/54 - 26*l**3/27 + 4*l**2/3 + 439*l. Factor h(t).
(t - 2)**3*(t - 1)*(t + 3)/9
Let p be (-44)/(1 + 1*(-9)/6). Solve 3153 + 4452 + 5*u**2 - p*u + 167*u + 311*u = 0 for u.
-39
Suppose -15 = -13*u + 24. Factor 12*y**4 - 4*y**5 - 41*y**3 - 15*y**3 + 44*y**u + 4*y**2.
-4*y**2*(y - 1)**3
Let k be ((-55)/165)/(1/1878*-1). Find b such that -k*b + 90*b**3 + 1875 + 827*b + 1549*b + 600*b**2 + 5*b**4 = 0.
-5, -3
Let v be 96/(-2) + (-79560)/(-1632). Let -1/2*y**2 + v*y**3 - 1/4*y**4 + 0*y + 0 = 0. What is y?
0, 1, 2
Let t be (102/136)/((-3)/(-20)). Let j be (-8)/(-70) - (-2)/7. Suppose 4/5*y**2 + 0*y + 0 - 4/5*y**4 - j*y**t + 2/5*y**3 = 0. Calculate y.
-2, -1, 0, 1
Let q(t) be the second derivative of -t**7/18 + 43*t**6/45 - 53*t**5/10 + 112*t**4/9 - 251*t**3/18 + 7*t**2 + 643*t. Let q(u) = 0. What is u?
2/7, 1, 3, 7
Suppose 5*q - r = 20, 4*r - 9 + 41 = 4*q. Let -14*f**3 - 180*f + 4*f**q + 6*f**3 - 200 + 0*f**3 - 48*f**2 = 0. What is f?
-5, -2
Let l(s) be the first derivative of 6/13*s**3 + 8/13*s**2 + 0*s + 111 + 1/26*s**4. Find w such that l(w) = 0.
-8, -1, 0
Let t(y) be the second derivative of y**6/40 - y**5/12 - 11*y**4/24 - y**3/2 - 33*y**2 - 53*y. Let w(r) be the first derivative of t(r). Factor w(x).
(x - 3)*(x + 1)*(3*x + 1)
Suppose 3*y - 352 = -352. Let c(v) be the third derivative of -3/40*v**6 + 1/4*v**4 + y*v**3 + 1/20*v**5 + 0 + 16*v**2 + 0*v. Factor c(o).
-3*o*(o - 1)*(3*o + 2)
Let c(k) be the first derivative of -1/90*k**6 + 2 + 0*k**2 - 1/30*k**5 + 1/3*k**4 + 10/3*k**3 + 0*k. Let t(n) be the third derivative of c(n). Factor t(u).
-4*(u - 1)*(u + 2)
Suppose 4*a = 35 + 13. Let k = -10 + a. Find b such that 13*b + 358 - 350 - b + 4*b**k = 0.
-2, -1
Let p(n) = 11*n**3 + 552*n**2 - 6*n + 6. Let w(s) = -13*s**3 - 550*s**2 + 7*s - 7. Let b(u) = -7*p(u) - 6*w(u). Factor b(i).
i**2*(i - 564)
Let d(a) be the first derivative of -11/4*a**2 + a**3 + 3*a + 103 - 1/8*a**4. Factor d(t).
-(t - 3)*(t - 2)*(t - 1)/2
Factor -9202760031/2*s + 0 - 13077/2*s**3 + 19000881/2*s**2 + 3/2*s**4.
3*s*(s - 1453)**3/2
Let z(g) be the first derivative of g**4/6 + 68*g**3/9 + 95*g**2 - 931. Factor z(b).
2*b*(b + 15)*(b + 19)/3
Let o(t) = -11*t**2 - 263*t - 770. Let n(z) = 9*z**2 + 264*z + 771. Let m(r) = 4*n(r) + 3*o(r). Factor m(d).
3*(d + 3)*(d + 86)
Let c = -18360 + 18365. Let v be (-1 - 118/(-36)) + 20/90. Factor 0 + v*b**2 + c*b - 5/2*b**3.
-5*b*(b - 2)*(b + 1)/2
What is j in 702/5*j - 51/5*j**2 - 3/5*j**3 + 0 = 0?
-26, 0, 9
Factor 81/4*u**2 - 90*u + 93 + 3/4*u**3.
3*(u - 2)**2*(u + 31)/4
Suppose -16 = -4*f + 2*g, 5*f = -44*g + 48*g + 26. Factor -19*k**3 + 31*k**3 - 201*k**4 - 48*k - 16*k**f + 205*k**4.
4*k*(k - 2)*(k + 2)*(k + 3)
Let h(n) be the third derivative of -23*n**5/4 + 335*n**4/24 + 5*n**3/3 + 2*n**2 - 19*n. Suppose h(d) = 0. Calculate d.
-2/69, 1
Let y(w) = -w**3 + 43*w**2 + 120*w. Let z(r) = -r**3 + 22*r**2 + 60*r. Suppose -74*u - 4*d = -70*u + 24, 3*u = 2*d + 2. Let f(p) = u*y(p) + 5*z(p). Factor f(l).
-3*l*(l - 10)*(l + 2)
Let w(g) = -4*g**3 + 16*g**2 - 92*g. Let h(n) = -n**3 - n. Let i(z) = 8*h(z) - w(z). Factor i(b).
-4*b*(b - 3)*(b + 7)
Suppose -20 = 2*m + 5*b, -4*m = -b - 14 + 76. Let w be 2 + -1 + m/(-9). Factor -4 - w*f + 4/3*f**2.
4*(f - 3)*(f + 1)/3
Determine k so that 36 - 31053*k - 3*k**3 - 186 + 31218*k - 12*k**2 = 0.
-10, 1, 5
Let y = -8696 + 8696. Let d(w) be the third derivative of 36*w**2 + 2/3*w**3 + y*w + 0 + 1/60*w**5 + 5/24*w**4. Factor d(n).
(n + 1)*(n + 4)
Let a(v) be the first derivative of -v**3 - 1/12*v**4 - 5/2*v**2 - 10 - 12*v. Let g(i) be the first derivative of a(i). Factor g(h).
-(h + 1)*(h + 5)
Let g(x) be the first derivative of -156 + 5/11*x**2 - 12/11*x + 2/33*x**3. Factor g(r).
2*(r - 1)*(r + 6)/11
Let c(s) be the third derivative of -s**6/24 + 9*s**5 - 770*s**4 + 101920*s**3/3 + 9774*s**2. Factor c(h).
-5*(h - 52)*(h - 28)**2
Let y(x) = -40*x - 175*x + 6714 - 16*x**2 + 18*x**2 - 98*x + 88*x. Let m(a) = a**2 - 112*a + 3356. Let i(f) = 7*m(f) - 4*y(f). Factor i(n).
-(n - 58)**2
Let z(s) be the first derivative of 3*s**4/28 + 18*s**3/7 - 9*s**2/2 - 114*s/7 - 283. Suppose z(q) = 0. Calculate q.
-19, -1, 2
Let g(m) be the first derivative of m**7/210 + m**6/40 - 103*m**2/2 + 94. Let c(p) be the second derivative of g(p). Factor c(z).
z**3*(z + 3)
Let p = 133545 - 667722/5. Suppose -3/5*w**3 + 0 - p*w + 6/5*w**2 = 0. Calculate w.
0, 1
Let 10*j**3 - 20 + 20/3*j**4 - 145/3*j - 80/3*j**2 - 5/3*j**5 = 0. Calculate j.
-1, 3, 4
Let b be (-9)/(-27) - (-322)/69. Let c = -18 - -20. Determine w, given that -7/5*w**c - w**4 - 1/5*w**b - 2/5*w + 0 - 9/5*w**3 = 0.
-2, -1, 0
Let z = 4979 - 298739/60. Let d(x) be the third derivative of -9*x**2 + z*x**5 + 0*x - 1/120*x**6 + 0 + 0*x**3 - 1/210*x**7 + 1/24*x**4. Solve d(v) = 0.
-1, 0, 1
Factor -1/8*g**2 - 13/8 + 7/4*g.
-(g - 13)*(g - 1)/8
Let d be ((-2)/3)/(136/32436). Let c = -787/5 - d. Let -c*a - 16/5 - 1/5*a**2 = 0. Calculate a.
-4
Let p(b) = -b**3 + 16*b**2 + 4*b. Let u(i) = 154*i**3 + 3366*i**2 + 19008*i - 6728. Let l(s) = -4*p(s) - u(s). Factor l(r).
-2*(3*r - 1)*(5*r + 58)**2
Let j(d) be the first derivative of 4*d**3/15 - 8516*d**2/5 + 18130564*d/5 - 508. Factor j(u).
4*(u - 2129)**2/5
Let f(p) be the first derivative of 6/5*p + 0*p**3 + 55 - 3/20*p**4 + 9/10*p**2. Suppose f(u) = 0. Calculate u.
-1, 2
Suppose 22 = -p + 4*u, -7*u + 9*u + 22 = -5*p. Let y(l) = -96*l**2 + 104*l - 526. Let n(q) = -13*q**2 + 15*q - 75. Let m(d) = p*y(d) + 44*n(d). Factor m(t).
4*(t - 3)*(t + 12)
Let t = -123085/1791 + 14649/199. Find f such that 0 + 148/9*f**2 + t*f**4 + 160/9*f**3 + 14/3*f - 10/9*f**5 = 0.
-1, -3/5, 0, 7
Factor -2/7*l**2 - 2/7*l**3 + 0 + 0*l.
-2*l**2*(l + 1)/7
Let y(m) be the third derivative of m**8/408 + 61*m**7/1785 + 23*m**6/204 - 101*m**5/510 - 61*m**4/102 + 40*m**3/51 + 108*m**2. Suppose y(x) = 0. Calculate x.
-5, -4, -1, 2/7, 1
Let n = -494 - -517. Find w, given that -n*w**2 - 5*w**5 - 9*w**4 - 24*w**2 + 160*w + 24*w**4 - 31*w**2 - 60 + 25*w**3 - 57*w**2 = 0.
-3, 1, 2
Let w(m) = -3*m**2 - 38*m - 49. Let q be w(-11). Let g(a) be the second derivative of 0 + 6*a**2 - q*a**3 + 5/4*a**4 + 14*a. Factor g(t).
3*(t - 2)*(5*t - 2)
Let -84/5 + 33/5*v**4 + 51/5*v**2 + 3/5*v**5 + 93/5*v**3 - 96/5*v = 0. Calculate v.
-7, -2, 