
Let m = -3733/2 + 1867. Find s such that -m*s**3 + s**2 + 2*s - 4 = 0.
-2, 2
Suppose 0*d - 52 = -5*d - 3*a, 3*d - 2*a = 16. Factor -d*i**4 + 10*i**3 - 3 + i**5 - 22*i**2 + 13*i + 6*i**4 + 8*i**3 - 5*i**4.
(i - 3)*(i - 1)**4
Let x = 5/62 - -8/93. Let d(p) be the second derivative of -6*p + 1/48*p**4 + 0 + x*p**3 + 1/2*p**2. Factor d(j).
(j + 2)**2/4
Let 5/4*b - 5/4*b**2 - 5/4*b**3 + 5/4 = 0. What is b?
-1, 1
Let k(g) = -88*g**2 - 266*g - 6. Let z be k(-3). Let 2/9*o**2 + z - 4/9*o = 0. Calculate o.
0, 2
Suppose 0 = -s - 3*h - 12, 2*s + 19 = 141*h - 146*h. Suppose -2/3*l**4 - 4/3*l**2 + 0 + 2*l**s + 0*l = 0. Calculate l.
0, 1, 2
Let s(i) = i**3 + 43*i**2 + 326*i - 37. Let q be s(-10). Factor 0*u + 0*u**2 + 0 - 72/7*u**q + 24/7*u**4 - 2/7*u**5.
-2*u**3*(u - 6)**2/7
Let l(z) be the first derivative of z**6/135 - z**5/9 + 37*z**4/54 - 20*z**3/9 + 4*z**2 - 10*z + 2. Let d(b) be the first derivative of l(b). Factor d(p).
2*(p - 3)**2*(p - 2)**2/9
Suppose -r - 48*k + 45*k = 18, 4*r - 3*k - 33 = 0. Suppose -r*w**2 + 1/3*w**3 + 5*w + 25/3 = 0. What is w?
-1, 5
Let q(c) = c**2 - 10*c - 5. Let v be q(11). Solve 9*l**3 - 3*l - 6*l**2 + 10*l**2 + 3 - v*l**3 - 7*l**2 = 0 for l.
-1, 1
Let c be -10 - (-80)/(-70)*-9. Factor -10/7*z**4 + 12/7*z**3 + 8/7*z**2 - 16/7*z + c*z**5 + 0.
2*z*(z - 2)**3*(z + 1)/7
Let p(m) = m**2. Suppose -3*y = -y + 4. Let a be p(y). Factor 3*d**3 + 0*d**4 + 0*d**a + 2*d**4 + d**5 - 5*d**4 - d**2.
d**2*(d - 1)**3
Suppose 9*z = z + 176. Let s(f) = 5*f**5 - 21*f**3 - 11*f**2 + 16*f. Let n(p) = p**5 - 4*p**3 - 2*p**2 + 3*p. Let i(y) = z*n(y) - 4*s(y). Factor i(h).
2*h*(h - 1)**2*(h + 1)**2
Let q(m) = 2*m**3 + 128*m**2 - 246*m + 120. Let w(n) = -10*n**3 - 513*n**2 + 984*n - 479. Let f(r) = 9*q(r) + 2*w(r). Factor f(l).
-2*(l - 61)*(l - 1)**2
Let l be -4 - -1 - 13501/(-3404). Let f = l - 8/37. Factor 9/4*d**2 + 3/4*d**4 - 9/4*d**3 + 0 - f*d.
3*d*(d - 1)**3/4
Let f(t) be the first derivative of t**5/5 + t**4/2 - t**2 - t + 491. Let f(x) = 0. What is x?
-1, 1
Let w(f) = f**4 - 3*f**3 + 4*f. Suppose 3*x + 80 = -19. Let i = 12 - 18. Let a(r) = -6*r**4 + 15*r**3 - 20*r. Let v(j) = i*a(j) + x*w(j). Factor v(l).
3*l*(l - 1)*(l + 2)**2
Let t(z) be the second derivative of -z**4/36 + 2*z**2/3 + 28*z. Determine b, given that t(b) = 0.
-2, 2
Let f(l) = l**3 + l. Let a(j) = 3*j**3 - 14*j**2 - 11*j - 30. Let u(r) = -a(r) + 2*f(r). Let w be u(15). Factor 0 + w*c**2 + 1/3*c**3 - 1/3*c.
c*(c - 1)*(c + 1)/3
Suppose -k + 5*r = -9, 6*r = -2*k + 2*r + 32. Factor -3*l**3 - k*l + 2*l**3 + 2*l**3 - 6 + 7*l.
(l - 3)*(l + 1)*(l + 2)
Suppose -2*s = -s - 2. Let u(r) = -r**3 - 40*r**2 - 74*r + 78. Let y be u(-38). Factor -1 - 1/2*q**3 - 5/2*q - y*q**s.
-(q + 1)**2*(q + 2)/2
Let c(j) be the second derivative of -j**4/30 - 64*j**3/15 - 1024*j**2/5 - 416*j. Solve c(u) = 0.
-32
Let h(r) be the third derivative of r**8/16800 + r**7/2100 + 5*r**4/3 - 35*r**2. Let v(u) be the second derivative of h(u). Factor v(w).
2*w**2*(w + 3)/5
Let u be 35 + -1*(-3 + 5). Let z be u/9 + (-4)/6. Let 3*t + t**3 - 6*t - t**3 - t**3 - 1 - z*t**2 = 0. What is t?
-1
Solve -32/3 + 4/3*t**4 + 56/3*t - 16/3*t**3 - 4*t**2 = 0.
-2, 1, 4
Let q(z) be the third derivative of -z**6/240 - 11*z**5/360 + z**4/24 + 2*z**3/9 + 34*z**2 + 1. Solve q(m) = 0.
-4, -2/3, 1
Let y(i) be the third derivative of i**8/112 - i**7/35 + i**6/40 + 54*i**2 + 1. Suppose y(a) = 0. Calculate a.
0, 1
Let m(s) be the first derivative of 3*s**5/5 - s**4 + 2*s**3/3 - 17*s**2/2 - 13. Let y(z) be the second derivative of m(z). Solve y(c) = 0.
1/3
Let s(u) = -20*u**5 - 21*u**4 - 5*u**3 - 4*u**2. Let h = -29 - -25. Let w(o) = -o**4 + 3*o**4 - o**2 - o**4. Let t(c) = h*w(c) + s(c). Factor t(q).
-5*q**3*(q + 1)*(4*q + 1)
Suppose -19 = -5*d + 11. Let s = -3 + 3. Determine u, given that s*u**2 + 11 - d*u - 2*u**2 - 15 = 0.
-2, -1
Solve -10/9*l**2 - 262/9*l**3 + 0 + 0*l - 338/9*l**5 - 1742/9*l**4 = 0.
-5, -1/13, 0
Suppose 5*s = 8*s. Factor s + 5*l**2 - 6*l**2 - 1 + 2*l**2.
(l - 1)*(l + 1)
Let s = 468275/308924 + -37/21063. Let k = s + -5/84. Factor -2/11*j**3 - 24/11*j + k + 12/11*j**2.
-2*(j - 2)**3/11
Let c = -16 + 29. What is l in -4*l**5 + 8*l**3 - 8 + 14*l**4 - 32*l**2 + 28*l + c*l**4 - 19*l**4 = 0?
-2, 1
Suppose -34/5*w - 4/5*w**2 + 18/5 = 0. Calculate w.
-9, 1/2
Let b(h) be the first derivative of 0*h**2 + 1/5*h**5 + 1/3*h**4 + 0*h**3 + 3 - 7*h. Let z(a) be the first derivative of b(a). Factor z(s).
4*s**2*(s + 1)
Determine j so that 28*j**3 + 81*j**2 - 12*j - 30*j**2 + 29*j**2 = 0.
-3, 0, 1/7
Solve -72/11 - 6/11*o**2 + 48/11*o = 0.
2, 6
Let w(z) be the third derivative of -z**5/240 + z**4/32 + 9*z**3/4 - 2*z**2 + 101*z. Factor w(r).
-(r - 9)*(r + 6)/4
Let v = -11654432854/1845 - -6316766. Let y = v + -2/615. Factor 0 - 8/9*q**3 + y*q + 2/3*q**2.
-2*q*(q - 1)*(4*q + 1)/9
Let a(w) be the first derivative of 3*w**5/20 - 11*w**4/16 - w**3/3 + 495. Factor a(x).
x**2*(x - 4)*(3*x + 1)/4
Let w(r) = 24*r**3 + 16*r**2 - 34. Let z(t) = 5*t**3 + 3*t**2 - 7. Let n(d) = 3*w(d) - 14*z(d). Let p(g) = g**2 + g. Let c(q) = -2*n(q) + 4*p(q). Factor c(m).
-4*(m - 1)*(m + 1)*(m + 2)
Let g(r) = r**4 - 126*r**3 + 1069*r**2 - 2868*r + 2416. Let v(q) = 2*q**4 - 127*q**3 + 1068*q**2 - 2866*q + 2417. Let u(x) = -3*g(x) + 4*v(x). Factor u(l).
5*(l - 11)**2*(l - 2)**2
Let j(l) be the first derivative of 1/5*l**5 + 5/16*l**4 + 0*l + 1/6*l**3 + 0*l**2 + 15 + 1/24*l**6. Factor j(d).
d**2*(d + 1)**2*(d + 2)/4
Let o be 1/(-1 - 3/(-2)). Let l = -199 + 202. Let l*f**2 - 2*f**2 - 3*f**o + 3*f**2 - 1 = 0. Calculate f.
-1, 1
Let w be ((-1)/3)/(-4*(-2)/(-336)). Let c be w + -9 + -1*3. Find s, given that -4/9*s - 8/3*s**3 + 8/9*s**5 + 0 - 2/9*s**4 + 22/9*s**c = 0.
-2, 0, 1/4, 1
Suppose -2*b - 3*a + 85 = -8*a, b = 4*a + 35. Let r(j) = 9*j**2 + 15*j + 4. Let v(g) = 125*g**2 + 210*g + 55. Let w(m) = b*r(m) - 4*v(m). Factor w(x).
-5*x*(x + 3)
Let x = 591 - 591. Let m(o) be the second derivative of 2*o + 0*o**2 + 0 + 1/30*o**3 + x*o**4 - 1/100*o**5. Factor m(w).
-w*(w - 1)*(w + 1)/5
Let k(y) be the third derivative of -y**5/100 + 27*y**4/20 - 729*y**3/10 - 104*y**2 + 2*y. Factor k(x).
-3*(x - 27)**2/5
Let w(d) be the first derivative of d**6/39 - 12*d**5/65 + 5*d**4/26 + 16*d**3/13 - 36*d**2/13 + 312. Suppose w(n) = 0. What is n?
-2, 0, 2, 3
Let r(n) be the third derivative of n**6/120 - 2*n**5/5 + 233*n**2. Find s such that r(s) = 0.
0, 24
Let t(b) be the third derivative of b**6/480 + b**5/240 - 3*b**4/32 - 3*b**3/8 + 269*b**2. Factor t(n).
(n - 3)*(n + 1)*(n + 3)/4
Let b(l) be the second derivative of l**6/20 - 9*l**5/5 + 11*l**4/4 + 6*l**3 - 69*l**2/4 + 578*l. Suppose b(d) = 0. Calculate d.
-1, 1, 23
Let w(v) be the second derivative of v**7/126 + v**6/45 - v**5/30 - v**4/9 + v**3/18 + v**2/3 + 165*v. Suppose w(s) = 0. What is s?
-2, -1, 1
Let i(a) be the third derivative of 0 + 5*a**2 - 23/72*a**4 + 0*a + 7/180*a**5 + 1/3*a**3. Suppose i(w) = 0. Calculate w.
2/7, 3
Let y = -902 - -904. Let p(i) be the third derivative of -2/21*i**3 - 3/28*i**4 - 1/140*i**6 + 0 - 7*i**y + 0*i - 1/21*i**5. Suppose p(u) = 0. What is u?
-2, -1, -1/3
Solve -325*n + 186*n**2 + 20*n**2 + 9 + 109*n**2 + 1 = 0.
2/63, 1
Let q(c) be the first derivative of c**5/15 - c**4/2 - c**3/3 + 10*c**2/3 - 4*c - 251. Factor q(l).
(l - 6)*(l - 1)**2*(l + 2)/3
Let n(w) be the second derivative of -w**5/80 - 3*w**4/16 + 17*w**3/12 - 3*w**2 + 15*w - 5. Factor n(m).
-(m - 2)*(m - 1)*(m + 12)/4
Let u(c) be the second derivative of c**6/10 - 9*c**5/5 + 19*c**4/4 + 6*c**3 - 30*c**2 - 66*c. Suppose u(h) = 0. What is h?
-1, 1, 2, 10
Factor -90 - 68*q**2 + 344*q - 76*q**2 - 10 - 104*q.
-4*(6*q - 5)**2
Factor 0 + 20/7*k**2 - 51/7*k - 1/7*k**3.
-k*(k - 17)*(k - 3)/7
Suppose -17*m + 41 + 10 = 0. Factor -3*r - m*r - 4*r**2 + 4 + 6*r.
-4*(r - 1)*(r + 1)
Let i be (1 - -14) + 9 + -12. Determine w, given that 5*w**2 + i*w - 7*w + 10*w = 0.
-3, 0
Let g(x) be the first derivative of 4*x**3/9 + 4*x**2/3 - 4*x - 81. Suppose g(b) = 0. What is b?
-3, 1
Let y(c) be the first derivative of 4/9*c + 11 - 1/18*c**4 - 4/27*c**3 + 1/9*c**2. Factor y(o).
-2*(o - 1)*(o + 1)*(o + 2)/9
Let h(s) = -s**3 - 7*s**2 + 43*s + 265. Let p be h(-5). Determine l so that 5/6*l**2 + 1/2*l**3 + 1/3*l + p = 0.
-1, -2/3, 0
Let v = 12 - 8. Suppose -u + g 