(s) = -s**3 + 22*s**2 - 11*s - 9. Let c be y(21). Let b be 1*(-7 + 6) - c/(-1). Factor -2*p**2 - 13*p - p - b + 19*p + 35*p.
-2*(p - 10)**2
Suppose -r = -2*r + 3*n + 12, 0 = -r + 4*n + 15. Let p = 0 + r. Suppose 4*d**3 + 62*d**2 - 64*d**2 - p*d**3 - 3*d = 0. What is d?
-1, 0, 3
Suppose -2*g - 14 = -16*g + 7*g. Let q = 98/3 + -65/2. Factor -q*u + 1/3 - 1/6*u**g.
-(u - 1)*(u + 2)/6
Factor 8*t - 327*t**2 + 16*t**3 - 18*t**3 + 335*t**2 - 2*t**4 + 0*t**4.
-2*t*(t - 2)*(t + 1)*(t + 2)
Suppose -1100/3 + 1/3*p**2 + 19/3*p = 0. What is p?
-44, 25
Let r(y) = 4*y**4 - 2624*y**3 - 588736*y**2 - 43761552*y - 43175444. Let m(w) = -w**4 - 4*w**3 - w**2 + 2*w. Let f(z) = 8*m(z) + r(z). Factor f(x).
-4*(x + 1)*(x + 221)**3
Suppose 4*h = -5*v + 43, 5*h + 109*v - 52 = 103*v. Let s(l) be the first derivative of -35/4*l**4 + 37 - 25/2*l**2 + 70/3*l**3 - h*l**5 + 0*l. Factor s(z).
-5*z*(z - 1)*(z + 5)*(2*z - 1)
Let t(r) be the second derivative of -167*r - 5/12*r**4 - 250*r**2 + 0 - 50/3*r**3. Let t(d) = 0. Calculate d.
-10
Let k(y) be the second derivative of 4*y**3 - 32 - 16/15*y**6 - 29/15*y**5 - 16/3*y**2 + 2*y - 8/63*y**7 + 17/9*y**4. Find c, given that k(c) = 0.
-4, -2, -1, 1/2
Let p = 1340 - 1336. Let i(q) be the first derivative of 0*q**5 + 0*q + 11 - 1/10*q**2 + 1/10*q**p - 1/30*q**6 + 0*q**3. Find w such that i(w) = 0.
-1, 0, 1
Factor 50/9*j**2 + 1304/9*j + 104/9.
2*(j + 26)*(25*j + 2)/9
Factor 339*p + 7*p**3 + 19*p**2 - 64*p**2 - 567*p - 4*p**3 - 276*p + 7644.
3*(p - 14)**2*(p + 13)
Factor 306*t - 141*t**3 + 58*t**2 + 48*t**2 + 48 - 43*t**2 + 54*t**2.
-3*(t - 2)*(t + 1)*(47*t + 8)
Let v be -11 - ((-26537)/1020 - -15). Let a(w) be the second derivative of -1/18*w**3 + 12*w + 0*w**2 + 0*w**4 + 0 + v*w**5. Factor a(o).
o*(o - 1)*(o + 1)/3
Suppose -875 + 510 + 176*y - 40*y + 28*y**2 + 8*y**3 + 46*y**2 + 435 = 0. What is y?
-7, -5/4, -1
Factor -50*b**2 + 162*b - 199*b**2 + 90*b**3 + 254519*b**4 + 254519*b**4 - 509041*b**4.
-3*b*(b - 27)*(b - 2)*(b - 1)
Let i = 200 + -152. Factor r**2 - 30*r**3 - i + 10*r**3 - 13*r**2 + 51*r + 77*r.
-4*(r - 2)*(r + 3)*(5*r - 2)
Let f be (-3 - (-1 + -6)) + -4. Factor 0*h**4 + 3*h**4 + f*h**4 + 5*h**3 + h**3.
3*h**3*(h + 2)
Let r(i) = i**2 + 14*i + 27. Let k be r(-12). Factor 6 + 38*c - 18 + 122*c**2 + 0*c - 6*c**k - 126*c**2.
-2*(c - 2)*(c + 3)*(3*c - 1)
Suppose -3*n - 91 = -y, -10 = n + y + 23. Let j = n - -33. Solve -107*f + 109*f + 4*f**2 - 2*f**j = 0 for f.
-1, 0
Factor -85/4*y**3 + 0 + 5/4*y**4 - 875/4*y + 475/4*y**2.
5*y*(y - 7)*(y - 5)**2/4
Let t(f) = -f**3 + f - 1. Let r(c) = -10*c**3 - 2*c**2 + 11*c - 11. Suppose 4*n - 87 = 77. Suppose 0 = 10*i - n + 1. Let v(l) = i*r(l) - 44*t(l). Factor v(d).
4*d**2*(d - 2)
Let u(a) be the third derivative of 5*a**8/21 + 4*a**7/7 - 223*a**6/24 + 133*a**5/6 - 155*a**4/8 + 25*a**3/3 + 11*a**2 + 2*a + 1. Find h such that u(h) = 0.
-5, 1/4, 1, 2
Let a = 2564479/6 - 427413. Factor 5/3*d**2 - a*d**3 + 0 - 4/3*d - 1/6*d**4.
-d*(d - 2)*(d - 1)*(d + 4)/6
Factor -6/11*h + 12/11 + 6/11*h**3 - 12/11*h**2.
6*(h - 2)*(h - 1)*(h + 1)/11
Let v(t) = 2*t - 2. Let u(w) = -w. Let a(o) = -5*u(o) - v(o). Let x be a(5). Determine b so that 5 + 27*b - 6*b**2 + 11*b**2 - x*b = 0.
-1
Let v be (-16)/12*20/500*-5. Let r(h) be the second derivative of -5*h - 1/75*h**6 + v*h**3 - 3/50*h**5 + 0*h**4 + 0 + 0*h**2. Factor r(w).
-2*w*(w - 1)*(w + 2)**2/5
Suppose -4504*r + 144 = -4432*r. Factor 0 + 0*x**r + 2/3*x**3 - 2/3*x.
2*x*(x - 1)*(x + 1)/3
Let g(m) be the first derivative of m**5/5 + m**4/3 - 8*m**3/3 - 8*m**2 + 90*m + 13. Let b(n) be the first derivative of g(n). Factor b(f).
4*(f - 2)*(f + 1)*(f + 2)
Let n(g) = -13 - 9*g + 2*g + 25 + 5*g. Let u be n(6). Factor u*q**3 + 4*q**2 + 0*q**2 + 14*q**3 + 14*q**4 + 4*q**3.
2*q**2*(q + 1)*(7*q + 2)
Let g(s) be the first derivative of -s**6/24 - 7*s**5/12 - 35*s**4/12 - 20*s**3/3 - s**2 - 114*s - 119. Let y(t) be the second derivative of g(t). Factor y(x).
-5*(x + 1)*(x + 2)*(x + 4)
Let i(y) be the first derivative of -4/3*y**3 + 2/3*y**2 + 52 - 4/15*y**5 + y**4 + 0*y. Factor i(b).
-4*b*(b - 1)**3/3
Let v(c) be the first derivative of c**6/12 + c**5/10 - 5*c**4/8 - 5*c**3/6 + c**2 + 2*c - 2174. Suppose v(l) = 0. Calculate l.
-2, -1, 1, 2
Let n(b) be the third derivative of b**8/56 - 32*b**7/21 + 149*b**6/4 - 265*b**5/3 - 65*b**4 + 1352*b**3/3 + 9*b**2 - 6*b - 3. Let n(j) = 0. What is j?
-2/3, 1, 26
Let d(n) = -1018*n + 85 - 51*n**3 + 1103*n - 104*n**3 + 390*n**2. Let a(s) = -11*s**3 + 28*s**2 + 6*s + 6. Let p(c) = -85*a(c) + 6*d(c). Factor p(j).
5*j**2*(j - 8)
Let g be (5/(-132))/((-180)/35232) - 2/(-9). Factor -g*c - 144/11 - 6/11*c**2.
-6*(c + 2)*(c + 12)/11
Let n(j) be the first derivative of -j**4/7 + 32*j**3/21 + 18*j**2/7 - 288*j/7 + 211. Factor n(v).
-4*(v - 8)*(v - 3)*(v + 3)/7
Let m(i) = -20*i + 17. Let d be m(-1). What is n in 54*n - 2*n**2 - d*n + 28*n - 3*n**2 = 0?
0, 9
Let b be 12/(-1)*9/(-6). Let p = -13 + b. Let r(q) = -q**5 + 2*q**2 + q - 6. Let y(i) = i**3 - i + 1. Let g(t) = p*r(t) + 20*y(t). Find c, given that g(c) = 0.
-1, 1, 2
Let q = 410 + -404. Let z be 0 + 25/8 - q/2. Find t such that 0 + z*t**2 - 3/4*t = 0.
0, 6
Let j(f) = -f**2 - 11*f - 7. Let c be j(-10). Let z be ((-9)/6)/(c/(-8)) + -4. What is h in 47*h - 3 + 6*h**3 - 3*h**5 + z - 3*h**4 - 50*h + 6*h**2 = 0?
-1, 1
Let t(u) = -13*u**2 + 6334*u - 1679032. Let d(g) = 33*g**2 - 15834*g + 4197579. Let l(k) = 7*d(k) + 18*t(k). Suppose l(p) = 0. What is p?
529
Let s(r) be the second derivative of r**6/1980 + r**5/44 + 3*r**4/11 - r**3/6 - 13*r**2/2 - 42*r. Let m(u) be the second derivative of s(u). Factor m(n).
2*(n + 3)*(n + 12)/11
Let r be (4 + -3)*1*161. Let v = r + 238. Determine a so that a**3 + v - 399 + 2*a + 3*a**2 = 0.
-2, -1, 0
Let t be 463/2778 - (70/(-12) + 2). Let j(k) be the first derivative of k**2 - 6/5*k - 14 - 1/10*k**t - 2/15*k**3. Factor j(v).
-2*(v - 1)**2*(v + 3)/5
Let h be (-5)/(-20) - ((-4143)/156)/(-1). Let r = h - -1039/39. Factor 0*i - 1/3*i**3 + r*i**2 + 0.
-i**2*(i - 1)/3
Let j(z) = -33*z - 97. Let p be j(-3). Determine k, given that -119*k - 147 - 22*k**3 + 14*k + 19*k**3 + 39*k**p = 0.
-1, 7
Let r = -931 + 1769. Factor -r*q**3 + 2*q**4 - 11*q**4 + 3*q**5 + 36*q**2 + 832*q**3 - 24*q.
3*q*(q - 2)**2*(q - 1)*(q + 2)
Let o be (-50622)/(-2200) + -30 - (-8 - -1). Let i(l) be the second derivative of 0 + 0*l**2 - o*l**5 + 1/20*l**4 - 1/15*l**3 + 4*l. Let i(q) = 0. What is q?
0, 1, 2
Let z(g) = -7*g**5 - 22*g**4 - 28*g**3 + 24*g**2 - 22. Let p(m) = 4*m**5 + 12*m**4 + 14*m**3 - 12*m**2 + 12. Let q(n) = 11*p(n) + 6*z(n). Factor q(s).
2*s**2*(s - 2)*(s - 1)*(s + 3)
Suppose -471*q = -474*q - 21. Let s be ((-6)/q)/(-3) - (-100)/154. Factor 0 - 6/11*i**2 + s*i + 2/11*i**3.
2*i*(i - 2)*(i - 1)/11
Let s(o) be the first derivative of -o**3/12 + 21*o**2/2 + 43*o + 1043. Factor s(m).
-(m - 86)*(m + 2)/4
Let r be 1*6/(-4)*144/(-18). Suppose -2*j + t = -2, -t - r = -4*j - 3*t. Let -48/5 - 3/5*k**j + 24/5*k = 0. Calculate k.
4
What is y in 0 + 2/17*y**4 + 0*y - 296/17*y**2 - 294/17*y**3 = 0?
-1, 0, 148
Factor 848/9*k + 2/9*k**2 + 89888/9.
2*(k + 212)**2/9
Let v(x) = -x + 28. Let u be v(23). Factor -u + a**2 + 12 - 7 + 0*a**2 - 5*a.
a*(a - 5)
Let k be (5/(-2) - -1)/((-79)/158). What is m in 6*m - 3*m**k + 3*m**3 - 2*m**3 - 2 - 12*m - 6*m**2 = 0?
-1
Suppose 64*w**3 + 257/4*w**2 - 1/4*w**4 + 0 + 0*w = 0. Calculate w.
-1, 0, 257
Let w be (-2898)/(-360) - (12/32)/((-42)/(-28)). Factor 18/5*j**3 - 3/5*j**4 + 36/5*j - w*j**2 - 12/5.
-3*(j - 2)**2*(j - 1)**2/5
Let s(k) be the second derivative of 24*k - 1/30*k**3 - 3/5*k**2 + 1/60*k**4 + 3. Let s(a) = 0. What is a?
-2, 3
Suppose 6*h + 41 = 53. Solve 3*v**h + v**3 - v**4 - 4*v**2 + 2*v**2 - v**5 + 0*v**3 = 0 for v.
-1, 0, 1
Let k(a) = -11*a**3 - 86*a**2 + 519*a - 1074. Let h(o) = o**3 + o**2 + 6. Let d(s) = 14*h(s) + k(s). Suppose d(x) = 0. Calculate x.
3, 10, 11
Let i(p) = -p**2 + 20*p - 42. Let c be i(10). Let t = c + -56. Find n such that 5*n**5 + 14*n**4 + 50*n**t + 11*n**4 + 25*n + 566*n**3 - 516*n**3 + 5 = 0.
-1
Suppose -3160/13*i - 2724/13*i**2 - 98/13*i**4 - 528/13 + 6510/13*i**3 = 0. Calculate i.
-2/7, 1, 66
Let m(l) = 6*l**2 - 158*l - 150. Let s(c) = 2*c**2 - 3*c + 2. Let f(k) = -m(k) + 2*s(k). Solve f(i) = 0 for i.
-1, 77
Let t(j) b