w**5/3 - 17*w**4/24 - 4*w**3 + 7*w**2. Let l be p(19). Factor -3*x**2 - 4 + 5 + 8*x - l*x - 4.
-3*(x + 1)**2
Let h(w) be the first derivative of -4*w**5/5 - 10*w**4 - 116*w**3/3 - 64*w**2 - 48*w + 103. Factor h(a).
-4*(a + 1)**2*(a + 2)*(a + 6)
Let g = 70 + -65. Suppose -u - 4*u - 3 + 8 - 10*u**2 + 5*u**4 - 5*u**g + 10*u**3 = 0. Calculate u.
-1, 1
Let o = 27 - 21. Suppose 0*t - 2*t = q - o, -q + 4*t = 6. Factor 0 + q*u - 4/3*u**2 - 2/3*u**3.
-2*u*(u - 1)*(u + 3)/3
Let l(s) = s**2 + 237*s + 3597. Let o(f) = 4*f**2 + 1184*f + 17984. Let v(k) = 16*l(k) - 3*o(k). What is i in v(i) = 0?
-30
Find j such that 3/5*j**2 + 72/5 - 6*j = 0.
4, 6
Let o = -73/55 - -41/11. Factor -2*g**2 + o + 26/5*g.
-2*(g - 3)*(5*g + 2)/5
Let x(b) be the second derivative of 5*b**4/12 + 305*b**3/3 + 18605*b**2/2 + 263*b + 1. Factor x(u).
5*(u + 61)**2
Let a(f) be the first derivative of -f**6/270 + f**4/54 - f**2/18 + f + 10. Let w(u) be the first derivative of a(u). Factor w(r).
-(r - 1)**2*(r + 1)**2/9
Determine u, given that -8*u**3 + 0*u**3 + 8*u**4 - 10*u**4 + 3*u**4 + 7*u**3 = 0.
0, 1
Let j be -6*(-1 - (-1 - 2)). Let x be (-1 - -2)/((-2)/j). Factor 2*k**2 + 14*k**4 - 11*k**4 - 3*k + k**2 - x - 6*k + 9*k**3.
3*(k - 1)*(k + 1)**2*(k + 2)
Factor -1/4*w**4 + 0*w - 1/4 + 0*w**3 + 1/2*w**2.
-(w - 1)**2*(w + 1)**2/4
Suppose 10*k - 46217 = -46197. Let -35/4*o**k + 0 + 5/4*o = 0. What is o?
0, 1/7
What is y in -58*y**4 + 145*y**3 - 7290 + 116*y**4 - 63*y**4 - 1485*y**2 + 6075*y = 0?
2, 9
Find q, given that -6*q**3 - 10944*q + 10948*q + 2 - 2 - 2*q**2 = 0.
-1, 0, 2/3
Let u(p) be the first derivative of 0*p**3 + 0*p**2 + 1/12*p**4 + 7 - 1/20*p**5 - 2*p. Let c(t) be the first derivative of u(t). Factor c(b).
-b**2*(b - 1)
Let o(k) be the second derivative of 0*k**3 + 3/4*k**4 + 3/20*k**5 + 0*k**2 - 13*k + 0. Factor o(c).
3*c**2*(c + 3)
Let j(h) be the second derivative of -h**6/150 + 11*h**5/50 - 2*h**4 - 11*h**3/15 + 121*h**2/10 - 191*h. Suppose j(o) = 0. Calculate o.
-1, 1, 11
Factor 32*p**2 - 403 + 403 + 8*p - 4*p**3 - 32*p**4 + 4*p**5 - 8*p.
4*p**2*(p - 8)*(p - 1)*(p + 1)
Let m(i) be the third derivative of -22/15*i**5 + 0 - 3/5*i**6 - 1/84*i**8 - 13/6*i**4 - 2/15*i**7 - 2*i**3 + 0*i + 11*i**2. Suppose m(p) = 0. What is p?
-3, -1
Suppose -6*d - 26 = -20. Let w be (-15)/(-20)*(d + 3). Solve -9/4 - 1/4*c**2 - w*c = 0.
-3
Let y = -1549 - -4652/3. Let -5/3*m**4 + y*m**2 - 1/3*m + 4/3*m**5 - m**3 + 0 = 0. Calculate m.
-1, 0, 1/4, 1
Let q(o) be the second derivative of 1/20*o**5 + 32*o + 0*o**2 + 0 + 0*o**4 + 0*o**3. Let q(g) = 0. What is g?
0
Factor -2/7*b**2 - 60/7*b - 58/7.
-2*(b + 1)*(b + 29)/7
Let h(g) = 111*g + 28. Let b be h(-3). Let a = -303 - b. Factor 0 + 3/2*m**3 + a*m**2 - 2*m + 1/2*m**5 - 2*m**4.
m*(m - 2)**2*(m - 1)*(m + 1)/2
Let c(o) be the second derivative of -o**8/1120 - o**7/210 - 7*o**6/720 - o**5/120 - 7*o**3/2 + 22*o. Let n(u) be the second derivative of c(u). Factor n(j).
-j*(j + 1)**2*(3*j + 2)/2
Let w(d) be the second derivative of -d**6/10 + 3*d**5/5 - d**4/2 - 2*d**3 + 9*d**2/2 + 2*d - 11. What is l in w(l) = 0?
-1, 1, 3
Suppose -3*m + 3*n - 6 = 0, -2 = 4*m - 5*n + 4*n. Suppose m = -7*r + 3*r + 16. Factor -q**2 + q**3 + 4*q**2 + q**3 - q**2 - 2*q**r - 2*q.
-2*q*(q - 1)**2*(q + 1)
Let w be 1000/16 + (-1)/2. Let i = -60 + w. Factor 4/3*a**4 - 2/3*a**5 + 0 - 4/3*a**i + 0*a**3 + 2/3*a.
-2*a*(a - 1)**3*(a + 1)/3
Let q(t) be the second derivative of 0 - 3*t**2 - 1/30*t**5 - 4*t - 1/3*t**3 + 5/18*t**4. Factor q(p).
-2*(p - 3)**2*(p + 1)/3
Let u(r) be the second derivative of -r**8/6720 + r**6/720 - r**4/96 + 4*r**3/3 - 2*r. Let z(w) be the second derivative of u(w). Determine j so that z(j) = 0.
-1, 1
Let b(c) be the second derivative of c**8/1280 - c**7/280 + c**6/320 + c**5/80 + 7*c**4/4 + 25*c. Let r(x) be the third derivative of b(x). Factor r(u).
3*(u - 1)**2*(7*u + 2)/4
Let q(i) be the third derivative of 6*i**2 - 7/160*i**6 - 5/32*i**4 + 0*i**3 + 0 + 11/80*i**5 + 1/280*i**7 + 0*i. What is x in q(x) = 0?
0, 1, 5
Solve -3*k**3 + 23/7*k**2 - 22/7 + 3*k - 1/7*k**4 = 0.
-22, -1, 1
Let g = 26 - 26. Let u(j) be the second derivative of 0*j**2 + 1/36*j**4 + 1/18*j**3 - 10*j + g. Suppose u(b) = 0. What is b?
-1, 0
Let v(n) = 57*n**4 + 9*n**3 + 9*n**2 + 24*n + 33. Suppose 141 - 9 = -4*w. Let l(y) = -7*y**4 - y**3 - y**2 - 3*y - 4. Let q(a) = w*l(a) - 4*v(a). Factor q(g).
3*g*(g - 1)**2*(g + 1)
Suppose -3*i - 2*l = -9, -15 = -5*i + 36*l - 37*l. Let d(j) be the first derivative of 1/3*j**3 + j + j**2 + i. Determine s so that d(s) = 0.
-1
Let p(b) be the second derivative of b**7/735 - b**6/140 + b**5/70 - b**4/84 - 7*b**2/2 + 7*b. Let m(k) be the first derivative of p(k). Factor m(d).
2*d*(d - 1)**3/7
Suppose -2*o + 9 = r, -27 = -o + 5*r - 10*r. Let q(p) = -p**2 + 7*p - 3. Let y be q(6). Determine m so that -2*m + 1 - 4 + 3 - m**o + m**y = 0.
-1, 0, 2
Let j(y) = -175*y**3 - 2448*y**2 - 10370*y - 14756. Let x(v) = -58*v**3 - 816*v**2 - 3456*v - 4919. Let u(o) = 6*j(o) - 17*x(o). Let u(m) = 0. Calculate m.
-17/4
Let j = -60 - -75. Factor -j*v**3 + 3*v**3 - 30*v**2 - 33*v**2 - 4*v**4 + 55*v**2.
-4*v**2*(v + 1)*(v + 2)
Let f = -745 + 745. Let g(v) be the third derivative of 0*v + f*v**4 - 1/120*v**5 + 0*v**3 + 1/80*v**6 + 1/672*v**8 - 1/140*v**7 + 3*v**2 + 0. Factor g(w).
w**2*(w - 1)**3/2
Factor 109/3*g - 9 - 4/3*g**2.
-(g - 27)*(4*g - 1)/3
Suppose 0 = -8*t + 65 + 47. Suppose t*u - 12*u = 4. Factor -1/4*w**u - 1/2 - 3/4*w.
-(w + 1)*(w + 2)/4
Let p(u) = -u - 6. Let w be p(-10). Factor -3*a**5 + a**3 - 7*a**w + 7*a**4 + 2*a**5.
-a**3*(a - 1)*(a + 1)
Factor 2/7*t**4 + 0*t - 82/7*t**2 - 80/7*t**3 + 0.
2*t**2*(t - 41)*(t + 1)/7
Let z(c) = 5 + 2*c - 3 + c - 5 - c**3 + 2*c**2. Let d be z(2). Let 3*n**2 - 6*n**4 + 3*n**4 - 3*n**d + 2*n + n = 0. What is n?
-1, 0, 1
Let y(o) be the second derivative of -o**7/63 - 7*o**6/45 - o**5/5 + 50*o + 5. Factor y(u).
-2*u**3*(u + 1)*(u + 6)/3
Let q(c) be the first derivative of c**5/60 + c**4/36 - 5*c**3/18 + c**2/2 - 28*c + 17. Let s(w) be the first derivative of q(w). Factor s(m).
(m - 1)**2*(m + 3)/3
Let u(w) = 6*w**4 - 10*w**3 - 40*w**2 - 108*w - 88. Let t(h) = 17*h**4 - 27*h**3 - 119*h**2 - 323*h - 262. Let x(q) = -4*t(q) + 11*u(q). Solve x(z) = 0.
-2, 5
Find m, given that 0 - 24*m**2 + 8*m + 24*m**3 + 3/2*m**5 - 10*m**4 = 0.
0, 2/3, 2
Let b(k) be the first derivative of k**7/273 - 2*k**6/195 + k**4/39 - k**3/39 + 5*k + 1. Let o(r) be the first derivative of b(r). Solve o(g) = 0.
-1, 0, 1
Let w(b) be the second derivative of b**6/1440 + b**5/160 - b**4/24 + b**3 - 7*b. Let n(u) be the second derivative of w(u). Let n(p) = 0. What is p?
-4, 1
Let z = 103/8 - 277/24. Find v such that 2 + 2/9*v**2 + z*v = 0.
-3
Let x = -33 - -39. Factor 12*i + 2*i**3 + x*i**3 - 4 - 12*i**2 - 4*i**3.
4*(i - 1)**3
Let w(u) = u**3 + 2*u**2 + u + 3. Let n be w(-2). Let y(k) be the first derivative of 2*k**3 + n - 8 + 4*k**3 - 7*k**3. Factor y(b).
-3*b**2
Let u(d) be the third derivative of 0*d**4 - 1/6*d**3 - 2*d**2 + 1/60*d**5 + 0 + 0*d. Factor u(t).
(t - 1)*(t + 1)
Let d(a) be the third derivative of 0*a**4 - 1/240*a**5 + 5*a**2 + 0 + 0*a + 1/6*a**3. Find u, given that d(u) = 0.
-2, 2
Let -13*s + 57*s - s**2 + 67241 - 67241 = 0. What is s?
0, 44
Suppose 0*y + 234 = 13*y. Let n be y/(-36) - 14/(-4). Factor 0*j + 0 - 1/4*j**n + 1/2*j**2.
-j**2*(j - 2)/4
Let a(q) be the first derivative of -q**3/12 - 3*q**2/8 + 11. Factor a(p).
-p*(p + 3)/4
Let a(v) be the first derivative of v**3/3 - v**2/2 - 20*v + 19. Let b be a(-4). Let 0*r + 7/2*r**3 + b + r**2 = 0. What is r?
-2/7, 0
Let j(u) = -u**3 - 134*u**2 - 258*u + 794. Let w be j(-132). Find i, given that i**w - 1/3*i - i**3 + 1/3*i**4 + 0 = 0.
0, 1
Let a(s) be the first derivative of -2*s**3/21 + 146*s**2/7 - 10658*s/7 - 247. Factor a(f).
-2*(f - 73)**2/7
Determine m so that 38844 + 703*m**2 + 95215*m + 5*m**3 + 190*m**2 + 482*m**2 + 12928 + 42073 = 0.
-137, -1
Let p(v) = -v**3 + 23*v**2 - 4*v + 95. Let w be p(23). Let m be 2 + 0*2/4. Suppose -w*q**3 + q + q**4 - q**2 + 5*q**2 - 2*q - q**m = 0. What is q?
0, 1
Let z = -863 - -863. Let t(u) be the first derivative of z*u - 3/5*u**5 - 3*u**3 + 9/4*u**4 + 3/2*u**2 + 1. Suppose t(k) = 0. What is k?
0, 1
Let p be (-46)/(-66)*(-12)/(-16). Let l = p + -3/11. Deter