+ -4 + -24*((-417)/81 - -5). What is r in q*r**3 + 24*r**2 + 49/3*r - 26/3*r**4 - 5*r**5 + 10/3 = 0?
-1, -2/5, 5/3
Suppose 4*d + d - 35 = 0. Suppose -d*j + 9 = -6*j. Find g, given that -21 + 4*g**2 - 9*g - g**2 + j = 0.
-1, 4
Suppose -61 = 7*n + 170. Let j be 5 + (n/(-9) - 8). Factor -8/9*k - j*k**2 - 2/9.
-2*(k + 1)*(3*k + 1)/9
Let r be 3/3*-3 - -99. Let b = -92 + r. Factor 23*q**5 - 36*q**5 + 15*q**5 + 4*q**3 + 6*q**b.
2*q**3*(q + 1)*(q + 2)
Let x(u) be the third derivative of -u**8/336 + u**7/35 + 19*u**6/120 - 2*u**5/5 - 391*u**2. Let x(n) = 0. What is n?
-3, 0, 1, 8
Let t = -20600 + 618001/30. Let z(n) be the third derivative of 0*n**3 - t*n**5 - 1/24*n**4 + 0*n + 4*n**2 + 0. Factor z(v).
-v*(2*v + 1)
Let i(x) = -4*x**3 + 38*x**2 - 80*x - 134. Let m(b) = -16*b**3 + 153*b**2 - 322*b - 537. Let w(c) = -23*i(c) + 6*m(c). Let w(d) = 0. Calculate d.
-1, 5, 7
Let 2/3*h**5 - 640/3 - 406/3*h**3 + 1592/3*h + 155/3*h**4 - 460/3*h**2 = 0. Calculate h.
-80, -2, 1/2, 2
What is d in 17/2*d**4 + 32 + 112*d - 22*d**3 - 70*d**2 + 2*d**5 = 0?
-4, -1/4, 2
Let n = -1116413/5 + 223283. Solve -n*c**2 + 0 + 2/5*c = 0 for c.
0, 1
Suppose 3*t - 157 = 8. Let q(i) = -i**2 - 66*i - 4. Let u(c) = 15*c**2 + 925*c + 55. Let z(l) = t*q(l) + 4*u(l). Let z(f) = 0. Calculate f.
-14, 0
Suppose 20*b - 15*b - 869 = 3*d, 3*d = 3*b - 861. Let q = -278 - d. Factor -40/3*v**3 + 5/3 - q*v**4 - 10*v**2 + 0*v.
-5*(v + 1)**3*(3*v - 1)/3
Let h(x) = -x**2 - 1295*x - 39182. Let q be h(-31). Suppose -8/5*g - 4/5*g**q + 4/5*g**3 + 0 = 0. Calculate g.
-1, 0, 2
Factor -1671*l**2 - 1216*l**2 + 3*l**3 + 1423*l**2.
3*l**2*(l - 488)
Let c(g) = -256*g**2 + 2498*g - 6080. Let d(r) = r + 2. Let y(z) = -c(z) + 2*d(z). What is s in y(s) = 0?
39/8
Suppose -56/3 - 2/9*q**2 + 62/9*q = 0. What is q?
3, 28
Let u(h) = 13*h + 4 - 8*h**2 + 8 + 6 - 21 + h**3. Let v be u(6). Factor 0*p + 0 + 4/11*p**v + 2/11*p**2 + 2/11*p**4.
2*p**2*(p + 1)**2/11
Let z be 2163/360 - (0 + 6). Let d(c) be the third derivative of 0*c**5 - 8*c**2 + 0 - 1/60*c**3 + 1/2100*c**7 + 0*c - 1/600*c**6 + z*c**4. Factor d(h).
(h - 1)**3*(h + 1)/10
Factor 139317*c - 368*c**3 - 657063*c**2 + 3182*c**3 - 3*c**4 + 168487*c - 1013625*c - 662700 - 616759*c.
-3*(c - 470)**2*(c + 1)**2
Let i(f) be the second derivative of 2/3*f**3 + 13*f - 2 - 11/36*f**4 + 1/15*f**5 + 18*f**2 - 1/180*f**6. Let m(t) be the first derivative of i(t). Factor m(a).
-2*(a - 3)*(a - 2)*(a - 1)/3
Find r, given that -972/11 - 630/11*r - 96/11*r**2 + 2/11*r**3 = 0.
-3, 54
Let r = -46698 + 166945348/3575. Let q = 17871/7150 - r. Factor 0 + 0*j**2 - 5/2*j**3 - q*j**5 + 0*j + 5*j**4.
-5*j**3*(j - 1)**2/2
Let m be ((-6)/(-39))/(3024/(-3489) - -1). Let c = m + -12/155. Let -c*i**2 - 4/13*i + 0 - 6/13*i**3 = 0. Calculate i.
-2, -1/3, 0
Let s = 5749/9 + -5747/9. Find x, given that 2/3*x**3 - 2/3*x + 2/9*x**2 - s = 0.
-1, -1/3, 1
Let u(n) = n**2 + 2067*n + 1394. Let y(w) = -7*w**2 - 10324*w - 6970. Let m(t) = -33*u(t) - 6*y(t). Factor m(b).
3*(b - 697)*(3*b + 2)
Factor 144*g**4 - 361*g**3 + 69169*g - 69*g**4 + 276150*g**2 - 1373*g**3 - 369*g**3 - 71*g**4.
g*(g - 263)**2*(4*g + 1)
Let u be (1 - 3/2)*6. Let w be ((-23)/12*-3)/(u/(-12)). Factor -25*p**2 - 3*p - 3 - 31*p + w - 6*p.
-5*(p + 2)*(5*p - 2)
Let k(g) be the first derivative of 448*g**2 - 34 - 80*g**3 - 1024*g + 13/2*g**4 - 1/5*g**5. Solve k(s) = 0.
2, 8
Let g(c) be the second derivative of 0 + 142*c + 10*c**2 - 47/50*c**5 - 1/75*c**6 + 49/10*c**4 - 149/15*c**3. Factor g(k).
-2*(k - 1)**3*(k + 50)/5
Let r be (-10)/(-15) - (-5)/(75/(-1990)). Let x be (-1353)/r - (-5 + 15). Suppose -u**3 + x*u**4 + 0*u + u**5 - 1/4*u**2 + 0 = 0. What is u?
-1, -1/4, 0, 1
Factor 0 + 35/2*d**3 + 45/4*d**4 + 5/4*d**5 + 0*d**2 + 0*d.
5*d**3*(d + 2)*(d + 7)/4
Let g(l) be the third derivative of -1/54*l**4 - 1/180*l**5 + 0 - 1/1620*l**6 + 0*l - 17/2*l**3 + 6*l**2. Let k(q) be the first derivative of g(q). Factor k(r).
-2*(r + 1)*(r + 2)/9
Let x(s) be the third derivative of -s**6/6 - 68*s**5/15 - 37*s**4/6 + 52*s**3/3 + 486*s**2. Find b, given that x(b) = 0.
-13, -1, 2/5
Suppose 0 = -28*i - 1189 + 1273. Suppose 2 = n + 2*b - 9, n + 5 = 2*b. Find v, given that -15/7*v**2 - 6/7*v + i*v**n + 0 = 0.
-2/7, 0, 1
Factor 24*r + 78*r - 27 + 44 - 45 - 80 - 14*r**2.
-2*(r - 6)*(7*r - 9)
Let p(u) be the first derivative of -u**3/15 + 7*u**2/5 + 32*u/5 - 146. Find b, given that p(b) = 0.
-2, 16
Let k(f) = 2*f**2 - 3*f + 2. Let j be k(0). Let x be 13/(j + 33/(-17)). Suppose -221*s - 2*s**2 + 7*s**3 - 8*s**4 + x*s + 3*s**5 = 0. What is s?
0, 2/3, 1
Let p be (6/13 - 78432/140868)*-6. Factor 0 + 8/7*m - 4/7*m**2 - p*m**3.
-4*m*(m - 1)*(m + 2)/7
Let c(b) be the third derivative of 6 + 2*b**2 - 2*b**3 + 0*b - 7/60*b**6 - 17/30*b**5 - 1/105*b**7 - 17/12*b**4. Solve c(k) = 0 for k.
-3, -2, -1
Let m = -190924 + 763699/4. Let 0*a - 3/2*a**4 + 3/4*a**3 - m*a**5 + 3/2*a**2 + 0 = 0. Calculate a.
-2, -1, 0, 1
Let l(w) be the third derivative of 49*w**6/540 + 56*w**5/135 + 16*w**4/27 - 6*w**2 - 3. What is o in l(o) = 0?
-8/7, 0
Let p = 3137/240 + -207/16. Let b(t) be the first derivative of 4/45*t**3 - p*t + 1/45*t**6 + 5 + 1/15*t**2 - 2/75*t**5 - 1/15*t**4. Factor b(s).
2*(s - 1)**3*(s + 1)**2/15
Factor 500/3*m**3 + 0*m**2 + 5/3*m**5 - 100/3*m**4 + 0 + 0*m.
5*m**3*(m - 10)**2/3
Let p(w) be the third derivative of -w**5/15 + 73*w**4/6 - 384*w**3 - 3*w**2 + 5*w - 44. Solve p(r) = 0.
9, 64
Let c(h) be the first derivative of h**6/2 - 312*h**5/5 + 6759*h**4/4 + 23638*h**3 + 60144*h**2 + 56448*h + 805. Solve c(n) = 0 for n.
-6, -1, 56
Let p(h) be the second derivative of 1/90*h**5 + 0*h**2 + 0*h**3 + 7/54*h**4 - 4 + 2*h. Factor p(t).
2*t**2*(t + 7)/9
Let r = -16 - -16. Factor 12 + 7*j**3 + r - 12*j**2 - 15*j**3 - 4*j + 12*j**3.
4*(j - 3)*(j - 1)*(j + 1)
Let k(y) be the first derivative of -2*y**6/9 - 156*y**5 - 45630*y**4 - 7118280*y**3 - 624629070*y**2 - 29232640476*y - 1772. Factor k(s).
-4*(s + 117)**5/3
Find a, given that 87*a + 87 - 199*a + 143 - 66 - 53*a + a**2 = 0.
1, 164
Let a(x) be the third derivative of -x**6/40 - 4*x**5/5 + 17*x**4/8 - 1056*x**2. Find f, given that a(f) = 0.
-17, 0, 1
Let p be (-553888)/368*(-5)/210. Let b = p + 31/69. Suppose 35*m + 5/7*m**5 - 56*m**2 - 62/7*m**4 + b*m**3 - 50/7 = 0. What is m?
2/5, 1, 5
Let t(k) be the second derivative of -8*k**6/3 - 70*k**5 - 655*k**4/4 - 120*k**3 + 3309*k. Factor t(s).
-5*s*(s + 16)*(4*s + 3)**2
Let w(n) be the first derivative of n**3/21 - 226*n**2/7 + 900*n/7 - 5593. What is i in w(i) = 0?
2, 450
Let n(u) = u + 15. Let l be n(10). Factor -5*c**3 - 25*c**2 + 5*c**5 - 27 + l*c**4 + 27.
5*c**2*(c - 1)*(c + 1)*(c + 5)
Let l(f) be the first derivative of 3*f**5/5 + 141*f**4/4 - 998. Find z such that l(z) = 0.
-47, 0
Let z = 11660 + -11660. Factor 3/4*n**3 + 0 + z*n + 1/2*n**4 + 1/4*n**2.
n**2*(n + 1)*(2*n + 1)/4
Let w(c) be the first derivative of -2*c**5/5 - 13*c**4/2 - 122*c**3/3 - 123*c**2 - 180*c - 5634. Factor w(v).
-2*(v + 2)*(v + 3)**2*(v + 5)
Suppose 4*z + s + 51 = 5*z, s = -4. Let k = z - 44. Factor -3*v - 4*v**4 + 3*v**k + v**5 + 3*v + v**3.
v**3*(v - 2)**2
Let f(i) be the third derivative of -i**6/600 + 9*i**5/100 - 77*i**4/40 + 637*i**3/30 + 98*i**2. Factor f(t).
-(t - 13)*(t - 7)**2/5
Let v(f) be the first derivative of -492*f**2 + 19 - 24*f + 495*f**2 - 14 + f**3 + 46. Solve v(l) = 0 for l.
-4, 2
Let v(y) = 24*y**3 + y**2 + y. Let x(k) = -132*k**3 - 165*k**2 - 798*k - 621. Let b(d) = -6*v(d) - x(d). Solve b(w) = 0.
-3, -1, 69/4
Factor -2/9*w**2 - 82/9*w + 40.
-2*(w - 4)*(w + 45)/9
Let t(i) = -35*i**3 + 455*i**2 + 360*i - 150. Let z(v) = 35*v**3 - 453*v**2 - 360*v + 152. Let u(h) = -6*t(h) - 5*z(h). Factor u(j).
5*(j - 14)*(j + 1)*(7*j - 2)
Let k(c) = -5*c**2 - 17*c - 38. Let n be k(-5). Let j be n/(-63) + 4/(-6). Solve -j*f - 5/7*f**2 - 1/7*f**3 + 0 = 0.
-4, -1, 0
Let s(w) be the first derivative of -250*w**3 + 46 - 18750*w**2 - 625000*w - 5/4*w**4. Factor s(g).
-5*(g + 50)**3
Let r(z) be the first derivative of 2*z**3/45 - 11*z**2/3 - 112*z/15 - 2359. Let r(u) = 0. What is u?
-1, 56
Find l such that 153*l**3 - 32 + 48*l - 156*l**3 + 14 + 11*l**2 - 18 = 0.
-3, 2/3, 6
Let r(t) = 5*t**3 + 15*t**2 + 16*t + 76. Let g(o) = 39*o**3 + 157*o**2 + 129*o + 606. Let l(b) = -6*g(b) + 51*r(b). Factor l(p).
3*(