*2 - 13*v - 22. Let p be g(8). Suppose p*t - 6 = -3*n + 4, -2*t = -10. Factor 4/9*w**4 + 0*w**2 + 0*w + n + 2/9*w**3 + 2/9*w**5.
2*w**3*(w + 1)**2/9
Let r be (4/((-4)/(-3)))/((-51)/(-34)). Let t(y) = 4*y - 6. Let h be t(4). Factor 7 + s**2 + 0*s**r + h*s + 18.
(s + 5)**2
Let v(s) = s**2 + 13*s + 16. Let p be v(-12). Factor -79 + 52*a**4 + p*a**2 + 79 - 24*a**5 - 32*a**3.
-4*a**2*(a - 1)**2*(6*a - 1)
Let s(j) be the first derivative of -j**4/8 - 3*j**3/2 + 21*j**2/4 - 11*j/2 + 543. Let s(n) = 0. What is n?
-11, 1
Let k = 4/43 + 50/387. Let l(j) be the first derivative of -2/3*j - 1 - 1/3*j**2 + 1/6*j**4 + k*j**3. What is w in l(w) = 0?
-1, 1
Let p(r) = r**4 - r**3 + r. Let f(v) = 3*v**4 + 86*v**3 + 2904*v**2 + 42594*v + 234256. Let d(w) = 5*f(w) - 10*p(w). Factor d(j).
5*(j + 22)**4
Let f(l) be the third derivative of -l**5/90 + 217*l**4/36 + 218*l**3/9 + 383*l**2. Determine s, given that f(s) = 0.
-1, 218
Suppose 2*d = -j, -5*j - 18 = -13*d + 17*d. Factor 4/5*r**2 - 16/5*r**4 + 0*r + 0 + 12/5*r**d.
-4*r**2*(r - 1)*(4*r + 1)/5
Let p(w) be the third derivative of -w**8/2730 + w**7/780 + w**6/1170 + 7*w**3/2 + 7*w**2 + 2*w. Let f(v) be the first derivative of p(v). Factor f(h).
-2*h**2*(h - 2)*(4*h + 1)/13
Let p(b) be the third derivative of b**6/60 + 37*b**5/30 + 323*b**4/12 - 361*b**3/3 - 127*b**2. Determine s so that p(s) = 0.
-19, 1
Solve 2/7*n**2 + 22/7 - 24/7*n = 0 for n.
1, 11
Let t(y) be the third derivative of 0*y + 1/210*y**5 + 25*y**2 - 1/84*y**4 + 0 - 2/21*y**3. Factor t(o).
2*(o - 2)*(o + 1)/7
Suppose -8*b + 5*b = 0. Suppose a = -h - b*h, -2*a = h + 2. Solve -x**5 + 2*x**3 - 1 + h*x**2 - 2*x**4 + 9*x**4 - 8*x**4 - x + 0*x**5 = 0 for x.
-1, 1
Let w(l) be the first derivative of 2*l**3/39 - 15*l**2/13 - 32*l/13 - 18. Factor w(q).
2*(q - 16)*(q + 1)/13
Suppose 3*a = 2*a + 14. Suppose 2*c = -4*d + 262, c = -4*d - 0*d + 257. Let -12*z**2 - a*z - 75*z**2 - d*z**3 + 7*z + 12 - 5*z = 0. What is z?
-1, -2/3, 2/7
Let h(d) be the third derivative of -7*d**6/240 + 33*d**5/80 + 5*d**4/8 + 17*d**3/3 + 2*d**2. Let b(w) be the first derivative of h(w). Factor b(j).
-3*(j - 5)*(7*j + 2)/2
Solve -3*s**4 + 2*s**5 + 45*s**4 + 2*s**5 + 12*s**2 - 22*s**4 + 22*s**3 + 6*s**3 = 0.
-3, -1, 0
Let d(p) be the first derivative of 3*p**4/4 + 31*p**3/3 + 4*p**2 - 20*p + 185. Factor d(h).
(h + 1)*(h + 10)*(3*h - 2)
Let s be (-19 + 3)*(-12)/48. Factor 1/2*q**2 + 0*q + 0 - 3/2*q**3 - 1/2*q**5 + 3/2*q**s.
-q**2*(q - 1)**3/2
Let m = -56 - -110. Let c be 2 - (-80)/(-36) - (-93)/m. Factor -1/4*n**2 - 9/4 + c*n.
-(n - 3)**2/4
Let t(x) = x**2 + 5*x + 6. Let q be t(-4). Let y be (10/(-4) - -2)*-18. Let 2*f - 3*f**3 + 5*f**4 - f + 14*f - 6 - q*f**4 - y*f**2 = 0. Calculate f.
-2, 1
Suppose 2*c + 8 - 16 = 0. Suppose 16 = 3*p + p. Determine d so that 14/3*d + 4/3 - 26/3*d**3 - c*d**5 - 34/3*d**p + 2*d**2 = 0.
-1, -1/2, 2/3
Let n(z) be the first derivative of z**3 + 21*z**2/2 + 30*z - 36. Factor n(h).
3*(h + 2)*(h + 5)
Let c be (-176)/33 - -7 - (0 + 1). Let u be ((-16)/(-20))/(9/5). Solve -c*l**2 + u*l + 2/9 = 0 for l.
-1/3, 1
Let i(g) = 20*g + 6. Let u be i(1). Let p = u + -24. Factor 1/4*x - 1/2*x**p + 1/2 - 1/4*x**3.
-(x - 1)*(x + 1)*(x + 2)/4
Let v(g) be the third derivative of g**8/26880 + g**7/10080 - g**6/2880 - g**5/480 - 3*g**4/8 + 9*g**2. Let y(f) be the second derivative of v(f). Factor y(w).
(w - 1)*(w + 1)**2/4
Let s be ((-4658)/2877)/(-1 + 6/7). Solve 10/3*j**2 + 4 + s*j = 0 for j.
-3, -2/5
Let j(x) be the first derivative of -3*x**4/4 + 6*x**3 + 27*x**2/2 - 42*x + 18. Factor j(y).
-3*(y - 7)*(y - 1)*(y + 2)
Let o(r) be the third derivative of -r**7/210 + r**6/15 - 3*r**5/10 + 2*r**4/3 - 5*r**3/6 - 149*r**2 + r. Factor o(h).
-(h - 5)*(h - 1)**3
Let a be -2 - 58/(-4) - 4/8. Let f be ((-2)/(-4))/((-2)/a*-9). Suppose 0 + 1/3*b**3 - 1/3*b**4 + 0*b - 1/3*b**5 + f*b**2 = 0. What is b?
-1, 0, 1
Let i(f) = 9*f**3 + 1 - 3*f**3 + 4*f**2 + 3 - 2*f**3. Let q(g) = 4*g**3 + 5*g**2 + 5. Let a(h) = -5*i(h) + 4*q(h). Factor a(t).
-4*t**3
Let g(u) = -4*u**2 + 14*u - 54. Let r(y) = y**2 + 2*y - 1. Let a(k) = -g(k) - 6*r(k). Factor a(v).
-2*(v - 2)*(v + 15)
Let h be (-286)/(-55)*2/(-20). Let n = -69/325 - h. Solve 0*r**3 - n*r**2 + 0 - 2/13*r**5 + 4/13*r**4 + 2/13*r = 0.
-1, 0, 1
Let m(f) be the first derivative of -1/3*f**3 + 1/5*f**5 + 13 + 0*f - 1/4*f**4 + 1/2*f**2. Factor m(k).
k*(k - 1)**2*(k + 1)
Let p(o) be the second derivative of 0*o**5 + 1/105*o**7 - 10*o + 0*o**2 - 1/15*o**4 + 0 - 1/15*o**3 + 2/75*o**6. Factor p(u).
2*u*(u - 1)*(u + 1)**3/5
Suppose -3*p + 195 = 177, 108 = 2*z + 2*p. Factor -6*a - 567/8*a**5 - 135*a**3 + 162*a**4 + z*a**2 + 0.
-3*a*(3*a - 2)**3*(7*a - 2)/8
Let h = -93 - -96. Factor -21*n**2 + 0*n**h - 4*n**3 + 4*n + 7*n**2 + 20 - 6*n**2.
-4*(n - 1)*(n + 1)*(n + 5)
Suppose -5*n + 73*u - 77*u = 0, 3*u + 19 = n. Let y(k) be the first derivative of -32/3*k + 1/3*k**4 - 8/3*k**2 + 8/9*k**3 + n. Factor y(d).
4*(d - 2)*(d + 2)**2/3
Factor 2/5*k**2 + 92/5 + 94/5*k.
2*(k + 1)*(k + 46)/5
Factor -41/4*a**2 - 1/4*a**3 - 38*a - 37.
-(a + 2)**2*(a + 37)/4
Let w = -14 + 19. Let p be w*(2/5)/1. Solve -2*m + p*m**2 - 5 + 3 + 0*m + 2*m**3 = 0.
-1, 1
Let t(j) be the third derivative of j**4/4 - 23*j**3/6 - 8*j**2. Let p be t(6). Solve -5 - 3*h**3 - p*h**3 - 15*h**2 + 15*h + 21*h**3 = 0.
1
Let z(p) be the second derivative of -p**4/42 + 9*p**2/7 - 57*p + 2. Solve z(y) = 0.
-3, 3
Find n, given that 40/3*n - 34/3*n**2 - 2 = 0.
3/17, 1
Let w(c) be the first derivative of c**3 - 315*c**2 + 33075*c - 453. Solve w(b) = 0 for b.
105
Let i(h) be the third derivative of h**5/390 + 58*h**4/39 + 13456*h**3/39 - 2*h**2 + 191. Factor i(k).
2*(k + 116)**2/13
Let m = -47 - -49. Let t be (-18)/(-8) - (5 + -5 + m). Factor 9/2*z**2 + 2 + t*z**4 + 7/4*z**3 + 5*z.
(z + 1)*(z + 2)**3/4
Let s(j) = -j**4 - 2*j**3 - 2*j**2 + j + 1. Let w(u) = -6*u**4 + 20*u**3 - 80*u**2 + 72*u - 18. Let d(o) = 4*s(o) - w(o). Factor d(z).
2*(z - 11)*(z - 1)**3
Let s(g) = 3*g**2 - 50*g + 202. Let k be s(10). Suppose 3/4*o**k - 7/4*o + 1/2 = 0. Calculate o.
1/3, 2
Let q(m) = -3*m**3 - 98*m**2 + 33*m + 2. Let c be q(-33). Solve 2/5*d**c + 0 - 2/5*d = 0 for d.
0, 1
Suppose x**2 + 48 - 1/4*x**3 + 20*x = 0. Calculate x.
-4, 12
Let v be (-1 - ((-5)/(-20) - -1))*(-590)/531. Factor 5/4*q**2 - v*q - 10.
5*(q - 4)*(q + 2)/4
Let p(j) be the first derivative of -j**8/336 - j**7/56 - j**6/72 + j**5/8 + 5*j**4/12 + 3*j**3 + 17. Let f(l) be the third derivative of p(l). Factor f(s).
-5*(s - 1)*(s + 1)**2*(s + 2)
Let z(t) be the first derivative of -7*t**3/3 - 173*t**2/2 + 50*t - 44. Factor z(i).
-(i + 25)*(7*i - 2)
Let v be ((-64)/(-144))/(-4*7/(-18)). Factor 0 + 4/7*d - v*d**3 - 2/7*d**2.
-2*d*(d - 1)*(d + 2)/7
What is j in 5*j - 7*j + 35*j - 3 + 7*j + 4*j**2 - 153 = 0?
-13, 3
Let i = -1/1430 + 3261/573430. Let u = i + 395/1203. Factor -1/3*o**3 - u*o + 2/3*o**2 + 0.
-o*(o - 1)**2/3
Let o(h) be the first derivative of 10 - 2/33*h**3 + 3/11*h**2 - 4/11*h. Determine u, given that o(u) = 0.
1, 2
Let w = -535/32 - -4847/288. Factor 2/3*a**3 + 0 - 4/9*a**4 - 4/9*a**2 + w*a + 1/9*a**5.
a*(a - 1)**4/9
Let q(d) = -d. Let s(l) = 10*l**2 + 16*l - 6. Let t(u) = -6*q(u) - s(u). Let r(y) = 5 - 5*y - 3*y**2 - 6*y**2 - 4*y. Let k(x) = 6*r(x) - 5*t(x). Factor k(m).
-4*m*(m + 1)
Let u be ((-10)/(-3) - 0) + -2. Let b(m) = 209*m - 2506. Let i be b(12). Factor 2/3*j + 2/3*j**5 + 0 + 0*j**4 + 0*j**i - u*j**3.
2*j*(j - 1)**2*(j + 1)**2/3
Factor 13*p - 12*p - 35 + p**2 + 6*p - 9*p.
(p - 7)*(p + 5)
Let v(a) be the second derivative of -a**6/6 + 17*a**5/4 + 95*a**4/12 - 85*a**3/6 - 45*a**2 - 47*a. Factor v(c).
-5*(c - 18)*(c - 1)*(c + 1)**2
Suppose 48 + 34 = 41*t. Let c(s) be the second derivative of -1/25*s**5 - 3*s + 0*s**t + 0*s**4 + 0*s**3 + 0 - 1/15*s**6. What is g in c(g) = 0?
-2/5, 0
Suppose z + 42 - 45 = 0. Factor -14*s**2 + 0*s**2 - 5*s - 5*s**z - 10*s - s**2 - 5.
-5*(s + 1)**3
Suppose -44*y = 26*y - 10*y + y. Factor 0 + y*g + 0*g**2 + 2/3*g**5 + 0*g**3 - 2/3*g**4.
2*g**4*(g - 1)/3
Let l(b) = 6*b**2 + 10*b - 6 + 0 - b + 5*b**2 + b**3. Let y be l(-10). Factor y + n**2 + 29*n - 25*n + 0*n**2.
(n + 2)**2
Suppose 8*m - 91 = -51. Let o(r) be the second derivative of 1/3*r**4 - 1/15*r**6 - 4/3*r**3 - 4/21*r**7 + 4/5*r**m - 5*r + 0 - r**2. Solve o(b) 