et w(m) = -4*m**2 + 6*m + 0*m - 3*m. Let p(c) = -11*a(c) - 6*w(c). Factor p(j).
2*j*(j + 2)
Let c = 9 + -5. Let s be (0 + c)*1/2. What is t in t + 3 + t**s - 2 - 1 = 0?
-1, 0
Factor 46*i**2 + 86 - 19*i**2 - 6*i**2 - 88*i - 19*i**2.
2*(i - 43)*(i - 1)
Suppose 2*i**2 - 40*i + 1/2*i**3 + 96 = 0. Calculate i.
-12, 4
Let b = 106 + -102. Factor -6*f**4 - 28*f**2 - 2*f**4 + 2*f**5 - f**5 + 22*f**3 + 9*f + b*f**2.
f*(f - 3)**2*(f - 1)**2
Determine k, given that -k**4 - 19*k**2 + 25*k - 8 - 10*k**2 + 7*k**2 + 11*k**3 - 5*k**2 = 0.
1, 8
Let l = -1/72579 - -1645229/7620795. Let v = l - 1/63. Let 2/5*p**2 + 0 + 0*p + v*p**3 = 0. What is p?
-2, 0
Determine x, given that 3/4*x - 3/4*x**3 - 57/4*x**2 + 57/4 = 0.
-19, -1, 1
Let x(r) be the first derivative of -5*r**6/3 - 67*r**5 + 85*r**4/2 + 253. Factor x(a).
-5*a**3*(a + 34)*(2*a - 1)
Let v(j) = 2*j - 2. Let q(f) = -2*f + 1. Let x(g) = 6*q(g) + 5*v(g). Let o be x(-3). Find h, given that -o*h - 2*h**2 - 4*h + 0*h - h**2 = 0.
-2, 0
Let i(d) = 7*d + 149. Let r be i(-21). Let t be ((-132)/(-18))/r + -3. Solve 7/6*l**4 + t*l - 2/3 + 13/3*l**3 + 9/2*l**2 = 0 for l.
-2, -1, 2/7
Let p(i) be the first derivative of i**5/70 + 5*i**4/42 + i**3/3 + 3*i**2/7 - 5*i + 26. Let u(l) be the first derivative of p(l). Factor u(q).
2*(q + 1)**2*(q + 3)/7
Suppose -5*r + 5 = p, 5*p + 0*r - 5*r = -5. Let x be (p - 2) + 1*4. Suppose 4*z**2 - 6*z - 2*z**x + 4 + 0*z**2 = 0. Calculate z.
1, 2
Factor 112*y + 5*y**3 + 216 - 350 + 48*y**2 - y**3 + 214 - y**4.
-(y - 10)*(y + 2)**3
Suppose 0 = m + 3*f - 3, m - 3*f - 12 = -3*m. Let y(i) be the first derivative of 0*i + 1/5*i**4 - 4/5*i**2 - 4/15*i**m + 4. What is l in y(l) = 0?
-1, 0, 2
Suppose -6*v = -v - 30. Factor 5*x**2 + 3*x**4 + v*x**3 - 13*x**2 - 3*x**4 - x**5 + 3*x.
-x*(x - 1)**3*(x + 3)
Let x(l) be the second derivative of -4/45*l**6 - 16/9*l**3 + 1/6*l**4 - 4/3*l**2 + 11*l + 0 + 11/30*l**5. Let x(w) = 0. Calculate w.
-1, -1/4, 2
Let l be (1/(11/(-6)))/(134/(-737)). Determine i so that -12/11*i**2 - 2/11*i**l + 0*i + 0 = 0.
-6, 0
Let m(p) = 14*p + 364. Let b be m(-26). Let c(h) be the first derivative of 1/30*h**5 + 1/12*h**2 - 1/24*h**4 + 1 + b*h - 1/18*h**3. Factor c(z).
z*(z - 1)**2*(z + 1)/6
Let p(l) be the first derivative of -l**8/126 - l**7/63 - l**6/180 - 3*l**2 - 9. Let v(z) be the second derivative of p(z). Factor v(d).
-2*d**3*(d + 1)*(4*d + 1)/3
Let s(r) be the first derivative of -3*r**5/25 - 27*r**4/20 - 3*r**3/5 + 87*r**2/2 + 180*r - 261. Find c, given that s(c) = 0.
-5, -3, 4
Let m(y) be the first derivative of -8/3*y**3 - 27 + 0*y + 1/4*y**4 + 7/2*y**2. Factor m(v).
v*(v - 7)*(v - 1)
Factor -1/2*j**4 - 1/2*j + 1/2*j**3 + 1/2*j**2 + 0.
-j*(j - 1)**2*(j + 1)/2
Solve 10/3 + 1/3*j**2 + 7/3*j = 0 for j.
-5, -2
Let o be ((-67)/7 - -8) + 7 + 7 + -9. What is v in -3/7*v**2 + 0 - o*v = 0?
-8, 0
Let b(r) be the third derivative of 0 + 0*r**4 + 1/30*r**5 + 0*r + 0*r**3 + 10*r**2 - 1/15*r**6. Let b(v) = 0. What is v?
0, 1/4
Suppose -1 + 4 = m. Determine d so that 3*d**2 - 3*d**4 + 4*d**m - 2*d**5 - 7*d + 3*d + 2*d = 0.
-2, -1, 0, 1/2, 1
Let c be -52*(3 + -2)/(-2). Suppose c*q**2 - 11*q**2 - 5*q**4 + 5*q**3 + 20 - 30*q + 5*q**3 - 10*q = 0. Calculate q.
-2, 1, 2
Factor j**2 - 1/8*j**4 + 0*j - 1/4*j**3 + 0.
-j**2*(j - 2)*(j + 4)/8
Suppose 0*l = 2*l - 6. Suppose 4*r = -2*g + l - 1, 0 = -5*r + 4*g + 22. Factor r*f**3 - f**2 + 5 - 1 - 2*f + 0*f**2 - 3*f**2.
2*(f - 2)*(f - 1)*(f + 1)
Let u(w) be the first derivative of 4*w**3/27 + 4*w**2/3 + 4*w + 70. Determine b so that u(b) = 0.
-3
Let n be (-3)/((-45)/20)*3. Let x be ((-6)/42)/(n/(-14)). Solve 1/4 + 1/4*r**2 - x*r = 0 for r.
1
Factor 1/8*s**2 + 729/8 + 27/4*s.
(s + 27)**2/8
Let y(p) be the second derivative of p**7/7560 - p**6/216 + 5*p**5/72 - 5*p**4/12 - 3*p. Let g(s) be the third derivative of y(s). Solve g(r) = 0.
5
Suppose -12 = -2*v - 2. Let l(w) = -w**3 + 6*w**2 - 2*w - 11. Let n be l(v). Factor 3*s**3 - 3*s**2 + 0*s + 0 - 3/4*s**n.
-3*s**2*(s - 2)**2/4
Let y be 1 + -4 - ((-2)/2 + 55). Let f = 60 + y. Suppose -1/3*h**2 - 2/3*h + 1/3*h**4 + 0 - 1/3*h**5 + h**f = 0. What is h?
-1, 0, 1, 2
Let s(q) = 7*q + 14. Let d be s(-2). Let t(c) be the third derivative of -8/105*c**5 + d + 5/84*c**4 + 5*c**2 + 3/140*c**6 + 0*c + 2/21*c**3. Solve t(b) = 0.
-2/9, 1
Let p(a) = a**2 + 12*a + 40. Let z(s) = 12*s + 40. Let q(h) = 4*p(h) - 5*z(h). Factor q(w).
4*(w - 5)*(w + 2)
Solve 1/2*n**3 + 13/2*n**2 + 51/2*n + 63/2 = 0 for n.
-7, -3
Suppose 2*p + 2*t - 9 - 5 = 0, p + 13 = 4*t. Let s be ((-10)/(-4))/(185/148). Let -7 + 5*u**p + 20*u**s + 25*u + 9 + 8 = 0. Calculate u.
-2, -1
Let w be 146443/330 + 1/(-2). Let f = w + -443. Suppose -6/5*c**2 + 22/15*c - f = 0. Calculate c.
2/9, 1
Let u be 7/5 - ((-9)/5)/3. Let s(w) be the second derivative of 0*w**2 + u*w - 2/9*w**4 + 1/20*w**5 + 0 - 2/9*w**3 + 1/10*w**6. Solve s(b) = 0 for b.
-2/3, 0, 1
Let g be (2/6)/(208/(-39) + 7). Let h(q) be the first derivative of 0*q**4 + 1/25*q**5 - 7 - g*q**3 + 0*q + 1/5*q**2. Factor h(s).
s*(s - 1)**2*(s + 2)/5
Let o(b) = -5*b**2 - 29*b + 9. Let i be o(-6). Let q(z) be the second derivative of 1/90*z**5 + 0*z**2 + 0*z**i - 2/135*z**6 + 1/54*z**4 - 5*z + 0. Factor q(g).
-2*g**2*(g - 1)*(2*g + 1)/9
Let j(i) be the second derivative of -i**7/84 + i**6/60 + 27*i**5/40 + 23*i**4/24 - 13*i**3/6 - 6*i**2 + 757*i + 2. Determine d so that j(d) = 0.
-4, -1, 1, 6
Let c = 7 - 5. What is a in -a**2 + 3*a**c + 93 - 93 = 0?
0
Let c(k) be the first derivative of k**5/450 - k**3/45 - k**2/2 + 2. Let x(q) be the second derivative of c(q). Solve x(t) = 0.
-1, 1
Suppose j - 69 = 6*j + 2*o, 2*j + 2*o + 24 = 0. Let r = 17 + j. Factor k**2 - k**2 + 3*k**2 - r*k**2.
k**2
Let n(p) be the second derivative of p**3/6 + 11*p**2/2 - p. Let r be n(9). Factor 20 - 4*w + 5*w**2 + 3*w**3 - 44 + r.
(w - 1)*(w + 2)*(3*w + 2)
Suppose 0 = -161*y + 594*y - 279 - 1020. Factor y*b + 3/4*b**4 - 3*b**3 + 3/2*b**2 - 9/4.
3*(b - 3)*(b - 1)**2*(b + 1)/4
Factor 152 + 44*q**3 - 4*q - 4*q - 2*q**4 + 275*q**2 - 155*q**2 - 234*q**2.
-2*(q - 19)*(q - 2)**2*(q + 1)
Suppose 0 = -4*f - 5*x + 9, -x = -4*f - 0 + 27. Suppose -4*t + 26 - f = 0. Find v, given that -t + 17 + 138*v**3 + 105*v**4 - 48*v - 27*v**2 + 0 = 0.
-1, 2/7, 2/5
Suppose 4*g - 16 = -0*g. Suppose -g*m = -x - 13, 5*m + 4*x = 3*x + 23. Solve 4/7*t**3 + 0 - 4/7*t + 2/7*t**2 - 2/7*t**m = 0 for t.
-1, 0, 1, 2
Let f(a) be the second derivative of -a**5/80 - a**4/24 + a**3/8 + 52*a. Factor f(w).
-w*(w - 1)*(w + 3)/4
Suppose 4*r - 46 = -2*j, j + 0*r = -3*r + 28. Suppose -j = -4*w - 1. Factor -141*h + 10*h**4 + 141*h + 4*h**w.
2*h**3*(5*h + 2)
Let l(f) be the second derivative of 2*f**6/15 + 2*f**5/5 - f**4/3 - 4*f**3/3 + 23*f. Factor l(v).
4*v*(v - 1)*(v + 1)*(v + 2)
Let r be (-8396)/2508 + 2 + 5. Let v = r - -3/209. Solve 8/3*j**3 - j**5 + 2/3 - 4/3*j**4 + 6*j**2 + v*j = 0 for j.
-1, -1/3, 2
Let b(j) = -2*j**3 - 15*j**2 + 23*j + 5. Let y(v) = -9*v**3 - 75*v**2 + 114*v + 24. Let d(k) = 24*b(k) - 5*y(k). Factor d(h).
-3*h*(h - 3)*(h - 2)
Factor -162 - 1/2*p**2 - 18*p.
-(p + 18)**2/2
Determine w so that -2/3*w**3 + 0 - 16*w - 22/3*w**2 = 0.
-8, -3, 0
Let c = 171 - 151. Suppose -n + 5*n = c. Determine q so that 0 + 11/4*q**3 - 9/4*q**n - q + 3/2*q**4 - q**2 = 0.
-2/3, 0, 1
Let w(d) be the second derivative of 1183/15*d**6 + 0 + 16/7*d**2 - 156/5*d**5 + 10*d + 32/7*d**3 - 292/21*d**4. Factor w(z).
2*(7*z - 2)**2*(13*z + 2)**2/7
Determine b, given that 2/13*b**2 + 18/13*b - 20/13 = 0.
-10, 1
Let i(w) be the third derivative of -2/15*w**6 - 4/15*w**5 - 2/105*w**7 - 43*w + 0 - w**2 + 0*w**4 + 0*w**3. Determine x so that i(x) = 0.
-2, 0
Let v = 5075/58098 - 1/2526. Solve 6/23*m**2 + 0 - v*m**3 - 4/23*m = 0.
0, 1, 2
Let i(d) be the first derivative of d**4/6 + 58*d**3/9 + 224*d**2/3 + 392*d/3 + 271. Factor i(j).
2*(j + 1)*(j + 14)**2/3
Let q(i) be the first derivative of i**4/2 - 2*i**3 - 6*i**2 + 16*i + 114. Factor q(j).
2*(j - 4)*(j - 1)*(j + 2)
Suppose -w = 8 - 24. Suppose 5*c + 0*i - 77 = -i, 3*c + 3*i - 39 = 0. Factor -c - 2*x**3 + w + 2*x.
-2*x*(x - 1)*(x + 1)
Let i = 56 + -59. Let h be ((-9)/48)/(i/2). Factor -1/8*f**3 + 0 - h*f**2 + 1/8*f + 1/8*f**4.
f*(f - 1)**2*(f + 1)/8
Suppose 5*j - 11*j + 12 = 0. Suppose -f + 16 = -5*p, f = j*f - p - 12. Determine l so t