+ (-36)/(-9). Determine u, given that 2/13*u + 4/13*u**4 - 4/13*u**2 + h - j*u**3 = 0.
-1, 0, 1/2, 1
Let a(t) be the second derivative of -t**6/24 + t**5 - 25*t**4/4 + 681*t. Factor a(h).
-5*h**2*(h - 10)*(h - 6)/4
Let o(q) be the second derivative of 1/20*q**4 + 0 + 3*q + 1/100*q**5 - 3/10*q**2 - 1/30*q**3. Let o(c) = 0. What is c?
-3, -1, 1
Let c(q) = q**2 - 14*q + 33. Let h be c(11). Let r(t) be the third derivative of 0*t**4 - 1/170*t**5 + h*t + 0 + 4/51*t**3 + 1/1020*t**6 - 8*t**2. Factor r(s).
2*(s - 2)**2*(s + 1)/17
Let w(z) = 8*z**4 - 136*z**3 + 130*z**2 - 2*z + 6. Let i(t) = -4*t**4 - t**3 - t**2 + t + 1. Let c(x) = 6*i(x) - w(x). Suppose c(y) = 0. What is y?
0, 1/16, 2
Let q = 13 + -17. Let f = 3 + q. Let r(j) = -2*j**2 + j - 7. Let d(x) = -x + 1. Let n(a) = f*r(a) - 5*d(a). Factor n(s).
2*(s + 1)**2
Suppose 26 = -3*z - 16. Let f = z + 18. Suppose 0*u - 2/9*u**f + 0 - 2/9*u**5 + 0*u**3 + 0*u**2 = 0. What is u?
-1, 0
Let d(w) be the first derivative of -1/33*w**3 + 1/330*w**5 + 0*w - 1 - 5/2*w**2 + 0*w**4. Let b(l) be the second derivative of d(l). Factor b(i).
2*(i - 1)*(i + 1)/11
Let t(g) be the second derivative of -g**6/240 - g**5/80 + 3*g**4/8 - 5*g**3/2 + 4*g. Let b(m) be the second derivative of t(m). Find q such that b(q) = 0.
-3, 2
Factor -13/2*p**3 - 78*p + 1/4*p**4 + 36 + 193/4*p**2.
(p - 12)**2*(p - 1)**2/4
Let a(h) = -4 + 2*h**2 + h + 0*h**2 - 2 + 5. Let x(m) = m**2 + 3. Let b(z) = 5*z**2 + 13. Let l(w) = 2*b(w) - 9*x(w). Let r(k) = 4*a(k) - 7*l(k). Factor r(i).
(i + 1)*(i + 3)
Let w = 6 - 1. Let d be w/(-20) - (-27)/12. Let -f**3 + f + d*f**2 - 1 + 2 - 3 = 0. Calculate f.
-1, 1, 2
Let m(b) be the second derivative of -b**5/10 - 19*b**4/6 - 33*b**3 - 81*b**2 - 89*b. Solve m(j) = 0.
-9, -1
Let -4/7 - 48/7*v**2 + 52/7*v = 0. Calculate v.
1/12, 1
Let f(g) = -10*g**2 + 6*g - 2. Let x(l) = 9*l**2 - 7*l + 3. Let v(s) = -s**3 + 5*s**2 - 6*s + 2. Let i be v(4). Let a(c) = i*x(c) - 5*f(c). Factor a(h).
-4*(h - 2)*(h - 1)
Let v(l) be the first derivative of 3*l**4/4 - 6*l**3 - 45*l**2/2 - 24*l - 26. Solve v(h) = 0 for h.
-1, 8
Let d(h) = -5*h - 15. Suppose 5 = l - 3*o - 1, 0 = -3*l + 5*o + 6. Let z be d(l). Solve -2/3*a**2 - 4/3*a + z = 0.
-2, 0
Let k be (((-432)/55)/(-36))/((-13)/(-5) + -2). Suppose -6/11*p + 2/11 + k*p**2 = 0. What is p?
1/2, 1
Let d = 4415 + -22069/5. Factor -2/5*h**3 + d*h**2 + 2 + 18/5*h.
-2*(h - 5)*(h + 1)**2/5
Let s be (-1)/4 + 415/(-100) - -6. Let n(v) be the first derivative of 2/5*v**3 - s*v - 5 + 1/25*v**5 + 1/4*v**4 - 2/5*v**2. Factor n(r).
(r - 1)*(r + 2)**3/5
Let i(t) = 58*t**4 + 204*t**3 + 298*t**2 + 194*t + 50. Let f(a) = -a**5 + 59*a**4 + 204*a**3 + 299*a**2 + 194*a + 51. Let l(b) = 2*f(b) - 3*i(b). Factor l(u).
-2*(u + 1)**4*(u + 24)
Let r(d) be the second derivative of d**7/56 - d**6/10 + 9*d**5/40 - d**4/4 + d**3/8 - 156*d. Let r(h) = 0. What is h?
0, 1
Let j(y) be the third derivative of 1/120*y**4 + 0*y + 9*y**2 + 1/600*y**6 + 0*y**3 - 1/150*y**5 + 0. Factor j(p).
p*(p - 1)**2/5
Let j(a) be the first derivative of -3*a**5/20 - a**4/4 + a**3 - 19*a - 1. Let v(y) be the first derivative of j(y). Find p, given that v(p) = 0.
-2, 0, 1
Let t be 6 + 7 + -20 + -1*44/(-6). Solve 2/3*m + 0 + t*m**2 = 0 for m.
-2, 0
Let h be 12/(-8)*(-32)/1. Let x = -21 + h. Let 7*m**3 + 6*m - x*m**2 + 12*m**4 - m**4 + 2*m**3 + m**4 = 0. What is m?
-2, 0, 1/4, 1
Let s(c) be the third derivative of c**5/6 - 23*c**4/48 + c**3/4 + 31*c**2 - 5*c. Factor s(v).
(v - 1)*(20*v - 3)/2
Let y(t) be the second derivative of t**9/4536 + t**8/504 + t**7/315 + 13*t**3/3 + 14*t. Let s(k) be the second derivative of y(k). Factor s(v).
2*v**3*(v + 1)*(v + 4)/3
Suppose -4*z + 32 = -5*n - 1, 30 = 5*z - 4*n. Suppose z*i - 14 = -5*i. Solve 0*f + 4/3*f**i - 2/3*f**4 + 0*f**3 - 2/3 = 0.
-1, 1
Let o(c) = c**3 + 9*c**2 + 2*c + 7. Let k be o(-9). Let j = 13 + k. Factor -4 - 2*x**2 - 3*x**2 + 3*x**j - 6*x.
-2*(x + 1)*(x + 2)
Suppose -12 + 8*k**2 + 7*k**2 - 16*k**2 - 47*k + 12 = 0. Calculate k.
-47, 0
Let k(q) be the second derivative of -8/33*q**3 + 0 - 4/11*q**2 - 5/66*q**4 - 4*q - 1/110*q**5. Factor k(j).
-2*(j + 1)*(j + 2)**2/11
Suppose j + 8*j + 522 = 0. Let f be ((-6)/(-4))/3 - 145/j. Factor 0 + 3/8*y**4 + 0*y**f + 0*y - 3/8*y**2.
3*y**2*(y - 1)*(y + 1)/8
Let l(p) be the third derivative of -p**5/240 + p**4/96 - 101*p**2. Determine v so that l(v) = 0.
0, 1
Let d(r) be the second derivative of r**5/160 + r**4/32 - 3*r**3/16 + 5*r**2/2 - 2*r. Let l(n) be the first derivative of d(n). Find m, given that l(m) = 0.
-3, 1
Let l(w) be the third derivative of w**5/20 - 21*w**4/8 - 11*w**3 + 120*w**2. Factor l(t).
3*(t - 22)*(t + 1)
Let -46 + 60*j + 46 - 72*j**2 + 70*j**3 - 3*j**4 - 43*j**3 = 0. Calculate j.
0, 2, 5
Let y(r) = -r**3 + 3*r**2 + r + 2. Let s be y(2). Let i be -2 + (-60)/6*2/(-4). Factor s*w**4 - 18*w**4 + 2*w**5 - 14*w**2 + 4*w + 0*w**5 + 18*w**i.
2*w*(w - 2)*(w - 1)**3
Let m(v) be the second derivative of -v**5/10 + 17*v**4/6 - 71*v**3/3 + 55*v**2 - 2*v + 21. Determine n, given that m(n) = 0.
1, 5, 11
Let s(p) be the second derivative of -3*p**5/100 - p**4/4 - 3*p**3/10 + 27*p**2/10 - 123*p. Factor s(g).
-3*(g - 1)*(g + 3)**2/5
Let q(g) be the third derivative of -g**7/63 - g**6/15 - g**5/15 + g**4/9 + g**3/3 + 2*g**2 + 39. Factor q(u).
-2*(u + 1)**3*(5*u - 3)/3
Suppose -39*y**2 - y + 29*y + 2*y**3 - 142*y - 15*y**2 - 58 = 0. Calculate y.
-1, 29
Let w(v) = -v**2 - 430*v + 8066. Let f be w(18). Factor -2*b + 2/7*b**f + 0.
2*b*(b - 7)/7
Let w be (-325)/(-15) - (12 - 1). Suppose 8*i + w + 1/6*i**3 + 2*i**2 = 0. Calculate i.
-4
Let p be 142/7 + 2/(-7). Factor 9*l**3 + 8*l**3 + 5*l**3 + 3*l**3 + 20 - 65*l**2 + p*l.
5*(l - 2)*(l - 1)*(5*l + 2)
Let i(k) be the third derivative of 5*k**8/336 + k**7/42 - k**6/4 + k**5/6 + 25*k**4/24 - 5*k**3/2 - 152*k**2. Factor i(l).
5*(l - 1)**3*(l + 1)*(l + 3)
Let v(p) = 30*p**3 - 130*p - 175. Let d(w) = w**3 + w - 1. Let t(f) = -25*d(f) + v(f). What is m in t(m) = 0?
-5, -1, 6
Let o = -1131 - -1136. Let s(i) be the first derivative of -7/20*i**4 + 44/15*i**3 + 18/5*i - o - 15/2*i**2. What is c in s(c) = 0?
2/7, 3
Let l be (-27)/((-1701)/14) - 69/(-54). What is p in 0 - l*p + 7/2*p**2 = 0?
0, 3/7
Suppose 0 = 8*w - 14 - 18. Determine p, given that 36*p - 6*p**2 + w*p**2 - 12 - 15*p**3 - 7*p**2 = 0.
-2, 2/5, 1
Let f(u) be the second derivative of 0*u**2 + 0 + 0*u**3 - 6/5*u**5 - 25*u - 2/3*u**4 - 4/21*u**7 + u**6. Factor f(r).
-2*r**2*(r - 2)**2*(4*r + 1)
Let x(u) be the second derivative of -u**4/24 + 5*u**3/2 - 29*u**2/4 + u - 6. Suppose x(q) = 0. Calculate q.
1, 29
Let l(f) = -4*f**4 + 78*f**3 + 960*f**2 - 1058*f - 6. Let r(v) = -7*v**4 + 158*v**3 + 1921*v**2 - 2116*v - 11. Let p(u) = -11*l(u) + 6*r(u). Factor p(j).
2*j*(j - 1)*(j + 23)**2
Let x(y) = -y**3 - 8*y**2 + 25*y. Let w be x(-11). Let h = w - 83. Solve 8/17*s**4 + 0 + 0*s + 12/17*s**2 - 26/17*s**3 + 6/17*s**h = 0 for s.
-3, 0, 2/3, 1
Let j be ((-8)/70)/(1326/85 + -16). Solve -j*r**3 - 6/7 + 2/7*r + 6/7*r**2 = 0 for r.
-1, 1, 3
Factor -1201*l**2 - 1201*l**2 + 4*l**3 + 2398*l**2.
4*l**2*(l - 1)
Suppose -265 = -6*c - 55. Let p be (-10)/c + 638/28. Solve 6*m**4 - 21/2*m + 3/2 + p*m**2 - 39/2*m**3 = 0.
1/4, 1
Let x = 326 + -326. Let p(t) be the third derivative of -1/35*t**7 - 1/30*t**6 + 0 + x*t + 0*t**3 + 0*t**4 - 7*t**2 + 1/30*t**5. Find b, given that p(b) = 0.
-1, 0, 1/3
Let d(t) be the third derivative of -t**7/140 - 3*t**6/20 - 9*t**5/10 + 19*t**2. Factor d(c).
-3*c**2*(c + 6)**2/2
Let q(c) be the second derivative of -c**7/5040 - c**6/720 + c**4/36 + 7*c**3/6 + 4*c. Let n(x) be the second derivative of q(x). Factor n(d).
-(d - 1)*(d + 2)**2/6
Let g be (-1)/((-6)/4)*(-18)/(-2). Suppose -4*k = f + 16, -3*f - 3*k = 6 + g. Find u such that 2/5*u**2 + 0 + f*u = 0.
0
Let s(f) = f**3 - 26*f**2 + 25*f. Let b be s(1). Suppose 0*r**2 - 3*r**3 + b*r + 0 + 15*r**4 - 75/4*r**5 = 0. Calculate r.
0, 2/5
Let w = 4795 - 4795. Suppose 54/7*x**2 - 54/7*x**4 + w + 30/7*x**3 - 6*x**5 + 12/7*x = 0. Calculate x.
-1, -2/7, 0, 1
Let u = 7 + -5. Suppose -u*d - 15 = -6*d - 3*b, -9 = d + 5*b. Let z(m) = -4*m**3 - 6*m + 6. Let v(n) = -n**3 - n + 1. Let q(x) = d*v(x) - z(x). Factor q(c).
-2*c**3
Let u = -17/109 - -521/545. Factor 3/5 + u*t + 1/5*t**2.
(t + 1)*(t + 3)/5
F