**2*(d + 6)/3
Let k(w) be the second derivative of w**5/40 - 43*w**4/8 - 87*w**3/4 - 131*w**2/4 - 1407*w. Factor k(q).
(q - 131)*(q + 1)**2/2
Let h(i) be the third derivative of 0*i + 0*i**3 + i**4 + 170*i**2 + 0 + 1/40*i**6 - 3/10*i**5. Factor h(x).
3*x*(x - 4)*(x - 2)
Let w(q) = -5744*q - 63182. Let j be w(-11). Find g such that -34/15 - 12/5*g - 2/15*g**j = 0.
-17, -1
Let a(g) = g**3 + 163*g**2 - 490*g + 1328. Let t be a(-166). Determine z, given that -35/2*z + 5/2*z**3 + t*z**2 + 15 = 0.
-3, 1, 2
Suppose 12 + 3 = 5*o. Solve -2*f**2 - 4*f**o - 45 + 2*f**2 + 5*f**3 + f**2 - 21*f = 0 for f.
-3, 5
Let p(b) = -3*b**2 - 5*b - 6. Let s be p(7). Let i be s/(-20) + -8 + -1. Factor -8/5 - 8/5*o - i*o**2.
-2*(o + 2)**2/5
Suppose -294*n - 2 = -295*n. Factor 3*z + 30*z**3 + 3*z**5 - 32*z**n - 15*z**4 - 5 + 2*z**2 + 12*z + 2.
3*(z - 1)**5
Let g(i) be the third derivative of i**7/350 + 61*i**6/200 - i**5/100 - 61*i**4/40 - 5969*i**2. Factor g(l).
3*l*(l - 1)*(l + 1)*(l + 61)/5
Let y(r) be the first derivative of r**6/720 - 7*r**5/240 + 62*r**3/3 + 42. Let k(t) be the third derivative of y(t). Factor k(g).
g*(g - 7)/2
Factor 6/11*y**3 + 0 + 36/11*y**2 + 0*y - 8/11*y**4 - 2/11*y**5.
-2*y**2*(y - 2)*(y + 3)**2/11
Let s(k) be the first derivative of 7/6*k**3 - 9/16*k**4 + 9/16*k**6 + 0*k + 79 - 27/40*k**5 - 1/2*k**2. Let s(j) = 0. What is j?
-1, 0, 2/3
Let c(h) be the first derivative of -13 - 3*h - 1/6*h**3 + 5/4*h**2. Find m, given that c(m) = 0.
2, 3
Let g = -162/59 + 2548/885. Let q(z) be the first derivative of 0*z + 1/3*z**2 - 1/6*z**4 - 5 - 2/9*z**3 + g*z**5. Suppose q(w) = 0. Calculate w.
-1, 0, 1
Let a(j) be the third derivative of j**6/420 - 173*j**5/70 + 3219*j**4/4 - 9583*j**3/3 + 1030*j**2. Factor a(l).
2*(l - 259)**2*(l - 1)/7
Solve -5987*i**2 + 3480*i**2 - i**5 - 7*i**5 + 234 + 759*i + 90*i**3 - 114*i**4 - i**5 + 3227*i**2 = 0.
-13, -1, -2/3, 3
Let x(r) = -2*r**2 + r - 11. Let y(o) = 33*o**2 - 1203*o + 1386. Let i(f) = 18*x(f) + y(f). Let i(p) = 0. Calculate p.
-396, 1
Let g(n) = -n - 7. Let y be g(-12). Suppose 0*b - 4*j = -2*b - 16, -b - 23 = -y*j. Factor -19*c**b - 10 + 9*c**2 + 18*c**2 + 5*c + 22*c**2.
5*(2*c - 1)*(3*c + 2)
Factor -3*c**2 - 48 - 219*c + 20 + 28.
-3*c*(c + 73)
Let l(j) be the third derivative of -j**7/840 + 71*j**6/480 + 29*j**5/48 + 73*j**4/96 + 1701*j**2. Factor l(y).
-y*(y - 73)*(y + 1)**2/4
Let v(y) be the second derivative of y**5/75 - y**4/12 - y**3/5 - 151*y**2/2 + 29*y + 2. Let j(n) be the first derivative of v(n). Factor j(p).
2*(p - 3)*(2*p + 1)/5
What is h in 678/5*h**4 + 1992/5*h**3 + 2188/5*h**2 + 126/5 + 972/5*h + 28/5*h**5 = 0?
-21, -1, -3/14
Suppose -196 - 47 = -3*s - 5*q, -3*s = q - 231. Suppose -72*r = -s*r. Find d such that r*d + 1/3*d**3 + 1/3*d**4 - 1/3*d**2 + 0 - 1/3*d**5 = 0.
-1, 0, 1
Let x(z) = -5*z**2 + 1310*z + 219115. Let h(l) = -2*l**2 + 656*l + 109558. Let t(k) = 7*h(k) - 3*x(k). Determine d, given that t(d) = 0.
-331
Suppose -292*n - 1 = 2*x - 291*n, 5*x = 2*n + 29. Factor 0 - 6/7*s**x - 4/7*s - 2*s**2.
-2*s*(s + 2)*(3*s + 1)/7
Let a(f) be the second derivative of -f**7/42 - f**6/6 + 39*f**5/10 - 6*f**4 - 273*f + 2. Determine l so that a(l) = 0.
-12, 0, 1, 6
Let i(w) = 2*w**3 - w**2 + 8*w - 1. Let z(u) = -3*u**4 - 48*u**3 - 405*u**2 - 834*u - 6. Let a(d) = -6*i(d) + z(d). Let a(f) = 0. What is f?
-7, -6, 0
Let w(t) be the second derivative of -27*t**7/56 - 51*t**6/40 + 317*t**5/80 + 101*t**4/48 - 17*t**3/3 - 6*t**2 + 51*t - 16. Suppose w(v) = 0. What is v?
-3, -4/9, 1
Factor 39*q - 219*q - 477*q + 81*q - 3*q**2 - 27648.
-3*(q + 96)**2
Let m(v) be the third derivative of -v**5/12 + 55*v**4/12 - 100*v**3 - 995*v**2. Factor m(j).
-5*(j - 12)*(j - 10)
Let b(c) be the second derivative of 1/66*c**4 + 16/33*c**3 + 0 + 15/11*c**2 + 70*c. Let b(p) = 0. What is p?
-15, -1
Let o(z) = 7*z**2 + 358*z - 338. Let n(v) = -5*v**2 - 359*v + 346. Let k(r) = 3*n(r) + 2*o(r). Factor k(i).
-(i - 1)*(i + 362)
Suppose -20/3 + 14/3*z - 8/3*z**4 + 28/3*z**2 - 16/3*z**3 + 2/3*z**5 = 0. Calculate z.
-2, -1, 1, 5
Let i be 612/99 + (-4)/22. Let s(r) = r**2 - 11*r + 30. Let w be s(i). Factor 0*t**4 + w + 0*t**2 + 1/2*t + 1/2*t**5 - t**3.
t*(t - 1)**2*(t + 1)**2/2
Let v(i) be the first derivative of -2*i**3/3 - 812*i**2 - 329672*i + 1038. Factor v(a).
-2*(a + 406)**2
Let f(t) = -t**2. Let x(k) = 6*k**2 - k - 2. Let b = 32 + -2. Suppose 0*q + b = 2*q. Let o(y) = q*f(y) + 3*x(y). Factor o(c).
3*(c - 2)*(c + 1)
Let p(g) be the second derivative of -g**5/80 - 25*g**4/48 - 119*g**3/24 - 95*g**2/8 - 4265*g. Solve p(j) = 0 for j.
-19, -5, -1
Let m(d) = -2. Let q(s) = -3*s**2 - 45*s - 24. Let v(l) = 3*l**2 + 43*l + 23. Let k(w) = -5*q(w) - 6*v(w). Let z(h) = k(h) + 6*m(h). Factor z(u).
-3*(u + 1)*(u + 10)
Let u(r) be the second derivative of -10*r**6/3 - 91*r**5 - 74*r**4/3 + 568*r**3/3 - 144*r**2 + 132*r. Suppose u(o) = 0. What is o?
-18, -1, 2/5
Let y be 243 + -248 + ((-242)/(-48) - -1). Let u(j) be the second derivative of 3*j + 0 + 1/4*j**2 + y*j**4 + 5/6*j**3. Factor u(f).
(5*f + 1)**2/2
Let t(f) = -f**2 + 9657*f - 132. Let s(l) = -1932*l + 24. Let q(a) = 11*s(a) + 2*t(a). Factor q(k).
-2*k*(k + 969)
Let f(u) be the first derivative of 45*u**4 - 30*u + 33 + 108*u**5 + 245/2*u**2 + 45/2*u**6 - 590/3*u**3. Factor f(c).
5*(c + 2)*(c + 3)*(3*c - 1)**3
Factor -140*o**2 - 235*o**3 - 96*o**3 - 238*o**2 + 744*o - 38*o**3 + 3*o**4.
3*o*(o - 124)*(o - 1)*(o + 2)
Let i(m) be the first derivative of -m**3/9 + 49*m/3 - 352. Factor i(s).
-(s - 7)*(s + 7)/3
Let q(k) be the second derivative of 1/3*k**4 - 10*k**3 + 1 + 8*k + 28*k**2. Determine b so that q(b) = 0.
1, 14
Solve -108*q**2 + 49/3*q**5 + 802/3*q**3 - 189*q**4 + 40/3*q + 0 = 0 for q.
0, 2/7, 1, 10
Suppose 0 - 17/3*a**3 - 2/3*a**4 - 4*a - 32/3*a**2 = 0. What is a?
-6, -2, -1/2, 0
Factor 0 + 2/3*c**3 - 245/6*c**2 + 61/6*c.
c*(c - 61)*(4*c - 1)/6
Suppose 702 = 16*p + 62*p. Suppose -40 = -g - p*g. Determine a, given that 1/4*a - 3/8*a**2 + 1/8*a**g + 0 + 0*a**3 = 0.
-2, 0, 1
Let u(q) be the first derivative of 0*q + 1/6*q**3 - 1/2*q**2 - 152. What is d in u(d) = 0?
0, 2
Factor 155*g - 327*g**2 - 4*g**4 - 22756 + 7*g**4 - 153*g**3 + 22756 + 322*g.
3*g*(g - 53)*(g - 1)*(g + 3)
Find r, given that 0 - 308/5*r**2 + 0*r + 3/5*r**4 + 92*r**3 = 0.
-154, 0, 2/3
Let c(f) be the first derivative of 2*f**3/39 - 20*f**2/13 + 14*f - 1408. What is n in c(n) = 0?
7, 13
Let m(w) = w**2 + 37*w - 2. Let k(t) = -3*t**2 - 147*t + 9. Let l = 542 - 533. Let f(y) = l*m(y) + 2*k(y). Factor f(c).
3*c*(c + 13)
Let o(j) be the second derivative of -5*j**4/12 - 5*j**3/2 + 135*j**2 - 857*j. Factor o(c).
-5*(c - 6)*(c + 9)
Suppose -179*i = -201*i + 110. Let u(f) be the second derivative of 0 - 1/15*f**6 + 0*f**3 - f**i - 25/6*f**4 + 0*f**2 + 8*f. Factor u(r).
-2*r**2*(r + 5)**2
Let x be (12/(-9))/(58/(-24273)). Let z = x - 558. Determine h so that -8/5*h**3 + 2*h**2 + 2/5*h**4 + z - 4/5*h = 0.
0, 1, 2
Let x(o) = -o**3 - 11*o**2 - 19*o - 31. Let z be 1*(66/6)/1. Let j(r) = -r**3 - 6*r**2 - 9*r - 16. Let w(u) = z*j(u) - 6*x(u). Solve w(h) = 0.
-1, 2
Let b(h) = -h**3 + h + 44. Suppose -4*q + 15 = 3*r, 0*q - 5*r + 25 = -5*q. Let n be b(q). Factor 3*l**5 - n*l - 3*l**3 + 44*l.
3*l**3*(l - 1)*(l + 1)
Let s(y) be the second derivative of y**5/5 - 1565*y**4/6 + 781*y**3/3 + 782*y**2 - y - 420. Factor s(v).
2*(v - 782)*(v - 1)*(2*v + 1)
Suppose 0 = 3*h - 4*j + 166 + 43, 0 = -2*h + 2*j - 142. Let k be 0/(-2)*(76 + h). Factor 1/4*f**2 - 1/4*f**4 - 1/4*f**5 + 1/4*f**3 + 0 + k*f.
-f**2*(f - 1)*(f + 1)**2/4
Let r(h) be the second derivative of 5*h**7/84 + h**6/4 + h**5/4 - 5*h**4/12 - 5*h**3/4 - 5*h**2/4 - 2931*h. Factor r(p).
5*(p - 1)*(p + 1)**4/2
Let c(y) be the third derivative of 1/210*y**7 + 0 - 1/60*y**6 + 1/60*y**5 + 0*y**3 + 0*y - 82*y**2 + 0*y**4. Find x such that c(x) = 0.
0, 1
Let w(m) be the first derivative of -m**5/10 + 5*m**4/8 - 5*m**3/6 - 5*m**2/4 + 3*m + 1234. Solve w(k) = 0.
-1, 1, 2, 3
Let z(m) = 3*m - 13. Let r be z(-7). Let i = r - -38. Factor -i - 40*h**2 - 28*h + 15*h**2 - 24*h**2.
-(7*h + 2)**2
Let m(x) = 2*x**4 - x**3 - x**2 - x + 1. Let p(w) = -21*w**4 - 7*w**3 - 6*w**2 + 27*w - 9. Let d(n) = 18*m(n) + 2*p(n). Factor d(l).
-2*l*(l + 3)**2*(3*l - 2)
Let g(i) be the second derivative of i**4/48 + 173*