*h**d + 6/11*h + 0.
-2*h*(h - 3)/11
Let u(h) be the second derivative of 25*h**6/27 + 20960*h**5/9 - 4660*h**4 + 100672*h**3/27 - 13424*h**2/9 + 5406*h - 1. Factor u(v).
2*(v + 1678)*(5*v - 2)**3/9
Let h(j) = j**2 + 8*j + 11. Let t be h(-7). Suppose 3*k = 4*k - t*k. Solve -2*y + 10*y - 198 + 2*y**2 + 206 + k*y = 0.
-2
Let f(g) be the second derivative of -32/63*g**4 - 3*g - 2 - 2/21*g**2 - 5/9*g**3 - 31/210*g**5. Determine d, given that f(d) = 0.
-1, -2/31
Let i(z) be the first derivative of 190 - 9*z**2 - 1/10*z**4 + 16/5*z**3 + 44/5*z. Factor i(j).
-2*(j - 22)*(j - 1)**2/5
Let g(f) = -f**2 + 13*f + 94. Let d be g(-5). Factor v**5 - 2512 + 0*v**d + 2512 + 25*v**2 - v**4 - 13*v**3 - 12*v.
v*(v - 3)*(v - 1)**2*(v + 4)
Let i be (-3)/(-4)*(145/25 + -1)/(18/20). Let x = 328/3 + -108. Factor i*t**3 + 4/3*t + x*t**4 + 4*t**2 + 0.
4*t*(t + 1)**3/3
Let p(w) be the second derivative of -109*w**4/36 - 37*w**3/6 - w**2/3 + 539*w. Factor p(y).
-(y + 1)*(109*y + 2)/3
Let u(d) be the first derivative of 0*d + 44 + 1/2*d**3 - 9/2*d**2. Factor u(t).
3*t*(t - 6)/2
Let h be (5/4)/((-113)/(-904)). Let v(o) be the first derivative of o**5 + 10*o**3 - h*o**2 + 25/4*o**4 - 40*o + 3. Find x such that v(x) = 0.
-2, 1
Let r(k) be the first derivative of -7*k**4/6 - 23*k**3/9 + 5*k**2/3 + 6741. Suppose r(j) = 0. Calculate j.
-2, 0, 5/14
Let z(q) = q**2 + 6*q + 4. Let o be z(-8). Let 37*a**3 - o*a**3 - 36 - 14*a**3 + 75*a - 42*a**2 = 0. What is a?
1, 12
Let o(l) be the first derivative of -l**6/27 + 2*l**5/45 + 17*l**4/18 - 34*l**3/27 - 16*l**2/9 + 32*l/9 + 2905. Let o(c) = 0. Calculate c.
-4, -1, 1, 4
Let 24/7*h**2 - 94/7*h + 92/7*h**3 - 60/7 + 2/7*h**5 + 36/7*h**4 = 0. Calculate h.
-15, -2, -1, 1
Let t(v) = 2*v**3 - v**2 + v. Let s be 4 - 36/4*3/9. Let z(k) = 10*k**3 - 2*k**2 + 4*k. Let m(q) = s*z(q) - 6*t(q). Factor m(a).
-2*a*(a - 1)**2
Let c(l) be the second derivative of -1/120*l**6 - 11/16*l**4 + 2*l - 5/4*l**2 + 31/24*l**3 + 13/80*l**5 - 52. Determine q, given that c(q) = 0.
1, 10
Let o(g) = 2*g**2 - 2*g - 3. Let r(t) = -5*t**2 + 5*t + 8. Let f = 56 + -48. Let i(y) = f*o(y) + 3*r(y). Factor i(x).
x*(x - 1)
Let p be (2065/10 - -2) + 3/(-6). Suppose -5*s = 3*u - p, 5*s - 143 = -4*u + 141. Factor -12*q - u + 35 + 41 + 4*q**2.
4*q*(q - 3)
Let q(f) be the first derivative of f**6/4 + 39*f**5/5 + 495*f**4/8 - 52*f**3 - 507*f**2 + 7186. Solve q(h) = 0.
-13, -2, 0, 2
Suppose -r - 5 = 5*u - 4*u, 3*r - u - 5 = 0. Suppose 118*z - 107*z = r. Determine q, given that z + 10/11*q - 2/11*q**2 = 0.
0, 5
Factor -360 - 137*n - 126*n - 157*n + 56*n - 4*n**2.
-4*(n + 1)*(n + 90)
Let m(g) be the second derivative of -g**4/4 + 287*g**3 - 247107*g**2/2 - 488*g. Find y, given that m(y) = 0.
287
Let s = 213987 - 641945/3. Solve 224/9*q - 196/9*q**2 + 28/9*q**4 - s - 8/9*q**3 = 0.
-3, 2/7, 1, 2
Suppose 0 = -5*a - v + 29, -3*a + 2*v + 35 = 15. Let b(y) be the first derivative of -6 + 10/3*y**3 - a*y**2 + 2*y. Factor b(t).
2*(t - 1)*(5*t - 1)
Let a(n) be the third derivative of -2*n**7/525 + 8*n**6/15 - 15*n**5 - 675*n**4 + 3849*n**2. Suppose a(x) = 0. Calculate x.
-10, 0, 45
Let u(w) be the first derivative of 4/13*w**2 - 14/13*w**3 + 0*w + 21/26*w**4 - 63 - 8/65*w**5. Determine o, given that u(o) = 0.
0, 1/4, 1, 4
Factor 47371*k**2 - 23687*k**2 - 23687*k**2 - 648675 - 2790*k.
-3*(k + 465)**2
Let j(f) = -2*f**3 + 5*f**2 - 8*f - 15. Let k(i) = -68*i**3 - 13*i**2 - 31 - 16*i + 23*i**2 + 63*i**3. Let v(x) = -14*j(x) + 6*k(x). Factor v(d).
-2*(d - 2)*(d + 1)*(d + 6)
Let a(k) = -27 - 309*k - 1 + 304*k. Let h be a(-6). Factor -2/9*r**3 - 4/9*r**4 + 0*r - 2/9*r**5 + 0 + 0*r**h.
-2*r**3*(r + 1)**2/9
Let b = -17/5377 - -21593/26885. Factor -b*x + 0 + 2/15*x**2.
2*x*(x - 6)/15
Suppose -354/7 - 466/7*h + 2/7*h**3 - 110/7*h**2 = 0. Calculate h.
-3, -1, 59
Solve -7/4*m**2 + 0*m + 15/8*m**3 + 0 - 1/4*m**5 + 27/8*m**4 = 0 for m.
-1, 0, 1/2, 14
Let w(q) be the first derivative of 2*q**3/3 + 183*q**2 - 368*q + 571. Determine t, given that w(t) = 0.
-184, 1
Let k be (35/(-21)*1)/(5 - (-325)/(-10)). Let q(o) be the first derivative of -16 + 0*o**2 - 2/11*o + k*o**3. Suppose q(b) = 0. What is b?
-1, 1
Let x(b) be the third derivative of b**4/24 + b**3/6 + 172*b**2. Let a(r) = r**2 - 23*r + 60. Let v(h) = -a(h) + 6*x(h). Suppose v(j) = 0. Calculate j.
2, 27
Let w(m) be the third derivative of 7*m**6/120 + 5*m**5/4 - 11*m**4/12 - 792*m**2. Determine y, given that w(y) = 0.
-11, 0, 2/7
Let a be 3/(-10)*5616/243 + 8. Suppose 4*m - 3*m = -m. Factor a*c**3 + 2/15*c**4 + 0*c + m + 32/15*c**2.
2*c**2*(c + 4)**2/15
Let l = 764 - 764. Let b(z) be the third derivative of -1/15*z**5 + 3*z**2 + 0*z + l - 8/3*z**3 + 5/6*z**4. What is t in b(t) = 0?
1, 4
Let l(v) = 5*v**2 - 48*v - 45. Let h(y) = -14*y**2 + 145*y + 135. Let j(i) = -4*h(i) - 11*l(i). Let p(u) = -18*u - 15. Let t(d) = 3*j(d) - 8*p(d). Factor t(r).
3*(r - 5)*(r + 1)
Suppose 2*x + 2*x + 245 = -5*v, -2*x = -3*v - 125. Let z = -41 - v. Factor -2*g**4 - g**z + 0*g**3 - 2*g**4 + 2*g**2 + 3*g**3.
-g**2*(g - 1)*(5*g + 2)
Let x(j) be the first derivative of 1/4*j**4 + 12 - 1/2*j + 1/30*j**5 + 1/9*j**3 - 5/12*j**2 - 1/36*j**6. Factor x(h).
-(h - 3)*(h - 1)*(h + 1)**3/6
Suppose -36*x + 3510 = 29*x. Suppose -353*i + x = -326*i. Suppose 4/5 + 7/5*p**3 + 1/5*p**4 + 3*p**i + 13/5*p = 0. Calculate p.
-4, -1
Let j be 26876 + 0 - 80/10. Factor -j*b + 646*b**2 + 26*b**2 - 4*b**3 - 14154*b + 3390*b + 702464.
-4*(b - 56)**3
Let j be 4*23 + 335/134. Let v = -563/6 + j. Suppose 2/3*h + 0 + v*h**2 = 0. Calculate h.
-1, 0
Factor -1880*n - 1713*n - 1213*n + 1172875 - 45568 + 3*n**2 + 1128*n.
3*(n - 613)**2
Suppose 3*n - 43 = -34. Suppose -n*m - 4*f = -6*m + 4, f = m - 2. Factor 16 - 44*v - 10*v**4 - 60*v**2 + 53*v - 25*v - 8*v**3 + 30*v**m.
4*(v - 2)*(v + 1)**2*(5*v - 2)
Suppose -o = 4*o - 15, 27 = -2*q + 5*o. Let m be (4 + q)/((3/(-3))/3). Factor 10*f**2 - 28*f**5 - 7*f**3 + m*f**4 + 27*f**5 + f - 5*f**3 - 4*f.
-f*(f - 3)*(f - 1)**3
Let u(a) = -a**3 - 2*a**2 - a + 3. Let g(z) = -14*z**3 - 25*z**2 - 13*z + 39. Let y(x) = 5*g(x) - 65*u(x). Let y(i) = 0. What is i?
0, 1
Let c be 14 - 3/2*2. Factor -12 + 14 - 3*z + c*z**3 - 10*z**3.
(z - 1)**2*(z + 2)
Let y(k) be the second derivative of -3/5*k**5 + 31 - 12*k**2 + 2/15*k**6 + 22/3*k**3 - k**4 + 2*k. Find u, given that y(u) = 0.
-2, 1, 3
Let z(c) be the first derivative of -2*c**3/27 + 184*c**2/9 - 712*c/3 - 6398. Factor z(x).
-2*(x - 178)*(x - 6)/9
Let z(r) be the second derivative of -r**4/42 - 220*r**3/7 - 659*r**2/7 - 8*r - 122. What is x in z(x) = 0?
-659, -1
Let b(l) be the second derivative of -l**5/30 + 8*l**4/9 - 13*l**3/9 - 10*l**2 - 3117*l. Determine h so that b(h) = 0.
-1, 2, 15
Let l = 1036145/7113 - 6/2371. Let z = l - 145. Factor -4/3 + 4/3*u**2 - 2/3*u**3 + z*u.
-2*(u - 2)*(u - 1)*(u + 1)/3
Let q(r) be the first derivative of 45/14*r**2 - 1/14*r**6 + 15/14*r**4 + 0*r**5 + 12/7*r + 20/7*r**3 - 208. Factor q(m).
-3*(m - 4)*(m + 1)**4/7
Let k(r) = -r + 14. Let w be k(11). Solve -20*s**4 - w - 24*s - s**5 + 3 + 304*s**2 - 284*s**2 + 5*s**5 + 20*s**3 = 0 for s.
-1, 0, 1, 2, 3
Let c be (2/(-5))/((-18)/2*10/50). Determine x, given that -4/9*x + 0 - c*x**2 = 0.
-2, 0
Let l(h) = -2*h - 4. Let b be (-4)/(12/45) - -4. Let p be l(b). Determine c so that p + 24*c**3 - 18 + 9*c**2 + 15*c**4 = 0.
-1, -3/5, 0
Factor -3715*y**4 - 228*y + 2*y**2 + 11*y**2 + 3*y**2 + 3716*y**4 - 60*y**2 + 37*y**3.
y*(y - 3)*(y + 2)*(y + 38)
Let r(x) = 10*x**2 + 795*x + 161919. Let s(n) = -n**2 + n - 35. Let p(m) = 4*r(m) + 36*s(m). Find k such that p(k) = 0.
-402
Let v be (13/((-364)/21) - -1)*8. Solve 1/2*y**3 - 9/10*y**v + 3/10*y + 1/10 = 0 for y.
-1/5, 1
Let p = -1849 + 1874. Let j(o) be the first derivative of -o**3 + 3/2*o**2 + 0*o + p. Solve j(i) = 0 for i.
0, 1
Let p(m) be the third derivative of 3*m**7/35 - 67*m**6/50 + 3289*m**5/750 + 268*m**4/15 + 64*m**3/3 + 6*m**2 - 57*m - 1. Find s, given that p(s) = 0.
-8/15, 5
Suppose 14*k**2 - 11*k**2 + 3*k**2 - 13351 - 217*k + 8345 - 14799*k = 0. Calculate k.
-1/3, 2503
Let s(t) be the second derivative of -9/14*t**4 - 6*t - 2 + 0*t**3 + 5/98*t**7 + 2/5*t**6 + 99/140*t**5 + 0*t**2. Factor s(n).
3*n**2*(n + 3)**2*(5*n - 2)/7
Let q(f) be the first derivative of -11/5*f**2 - 4*f - 137 - 2/15*f**3. Factor q(