y) = -2*y + 11. Let x be f(3). Let g be (10/(-18))/x*-3*6. Factor 7*d + g + 3*d + d**3 - 10*d - 3*d.
(d - 1)**2*(d + 2)
Let u(f) be the first derivative of f**4/34 - 472*f**3/17 + 125316*f**2/17 - 6606. Factor u(y).
2*y*(y - 354)**2/17
Let c(q) = -9*q**2 + q + 3. Let n(b) = -35*b**2 + 840*b + 430. Let s(w) = 5*c(w) - n(w). Solve s(a) = 0.
-83, -1/2
Suppose 150*o = -5*z + 149*o + 11, 13 = 5*z + 3*o. Let a = -1 - -4. Suppose -8/11*t**z + 24/11*t**4 - 18/11*t**5 + 4/11*t**a - 2/11*t + 0 = 0. Calculate t.
-1/3, 0, 1
Let z(r) be the third derivative of r**7/525 + r**6/75 + r**5/50 - r**4/15 - 4*r**3/15 - 23*r**2 + r. Find d, given that z(d) = 0.
-2, -1, 1
Suppose 95*c = 91*c + 16. Solve 9243*q - 9251*q + 3*q**c - 3 - 2*q**4 - 6*q**2 = 0 for q.
-1, 3
Suppose -298 + 298 = -989*i. Factor 44/7*t**3 - 40/7*t**2 + 0*t + i - 4/7*t**4.
-4*t**2*(t - 10)*(t - 1)/7
Let y(d) = -1178*d + 2358. Let p be y(2). What is n in -2/5*n**3 + p*n**2 - 2 + 2/5*n = 0?
-1, 1, 5
Let y = 83267 + -582794/7. Solve -690/7*h**2 - 120/7 + y*h**3 - 84*h = 0 for h.
-2/5, 10
Let 0 + 19/3*f**2 + 0*f - 20/3*f**3 + 1/3*f**4 = 0. Calculate f.
0, 1, 19
Let a(n) = -7*n + 1. Let h be a(1). Let w be 12/(-10)*105/h. What is t in 1 - 12*t**2 + w*t**2 - 10*t**2 = 0?
-1, 1
Let w(u) be the third derivative of u**6/480 - u**5/20 - 5*u**4/32 + 13*u**3/12 + 110*u**2. Factor w(y).
(y - 13)*(y - 1)*(y + 2)/4
Suppose 0 = 3*t - 5*t + 292. Let g(u) = 8*u + 13. Let p be g(-1). Factor 144*y**3 + y**p + y**4 + 0*y**2 + 0*y**2 - t*y**3.
y**3*(y - 1)*(y + 2)
Let a = 193 + -165. Factor -5*o + 28*o**2 + 26*o**2 - 23*o + 2*o**3 - a*o**2.
2*o*(o - 1)*(o + 14)
Let i(m) be the second derivative of -16/3*m**3 + 0*m**2 + 0*m**6 - m + 0*m**4 + 4/5*m**5 - 72 - 1/21*m**7. Factor i(y).
-2*y*(y - 2)**2*(y + 2)**2
Let f(g) be the second derivative of -g**4/4 - 25*g**3/2 - 100*g - 18. Let f(j) = 0. Calculate j.
-25, 0
Let z(h) be the third derivative of 0*h**3 + 0 + 7/600*h**6 - 11/300*h**5 + 0*h - 1/1050*h**7 + 88*h**2 + 1/24*h**4. Factor z(s).
-s*(s - 5)*(s - 1)**2/5
Suppose -11955*d + 2076*d - 2290*d - 13041125 - 7*d**2 + 2*d**2 - 3981*d = 0. Calculate d.
-1615
Determine n, given that 4/3*n**2 + 544/3 + 280/3*n = 0.
-68, -2
Let h be -3*-3*(92/(-1449) + 4/14). Let k(q) be the first derivative of -4/39*q**3 + 6/13*q - 15 + 5/13*q**h. Suppose k(o) = 0. What is o?
-1/2, 3
Let m(j) = -3*j**3 - 849*j**2 - 1629*j - 831. Let d(o) = -3*o**3 - 847*o**2 - 1635*o - 831. Let u(n) = 6*d(n) - 5*m(n). Factor u(w).
-3*(w + 1)**2*(w + 277)
Let d = 166 + -113. Let y = d + -23. Find h, given that -64*h + 20 - h + 85*h**2 - 25*h**2 - 40*h**4 + y*h**3 + 15*h**5 - 20*h**3 = 0.
-4/3, 1
Let j(b) be the first derivative of -9*b**7/280 - 13*b**6/160 - b**5/20 - 7*b**2 - 72. Let q(x) be the second derivative of j(x). Factor q(i).
-3*i**2*(i + 1)*(9*i + 4)/4
Let p = 135049088149/10025510 - -1/911410. Factor 2/11*i**3 + 10584/11*i - 252/11*i**2 - p.
2*(i - 42)**3/11
Let q(r) be the second derivative of -5*r**7/42 + 115*r**6/9 - 869*r**5/3 - 45110*r**4/9 - 49280*r**3/3 + 47040*r**2 + 1871*r. Find j such that q(j) = 0.
-4, 2/3, 42
Let n(k) = k**3 + 36*k**2 - 291*k. Let u(j) = 3*j**3 + 68*j**2 - 583*j. Let q(r) = -7*n(r) + 3*u(r). Factor q(l).
2*l*(l - 12)**2
Let v(m) = 33*m - 29*m + 66 + 139*m. Let x be v(3). What is t in -847/2*t**4 + 1331/2*t**5 + 0 + 486*t**2 - 108*t - x*t**3 = 0?
-1, 0, 6/11
Let p = -4437/2 + 2219. Let z(b) be the first derivative of -1/6*b**6 - 2*b**3 + 21 - 1/2*b**2 + 3*b + p*b**4 + 3/5*b**5. Factor z(r).
-(r - 3)*(r - 1)**2*(r + 1)**2
Suppose -303*r + 7848 = 6636. Let 42*x**2 + r - 49/4*x**3 + 27*x = 0. What is x?
-2/7, 4
Let i(r) be the second derivative of r**4/4 + 97*r**3 + 28227*r**2/2 - 19*r - 4. Let i(g) = 0. What is g?
-97
Let z(y) = y**4 + 3*y**3 - 47*y**2 + 72*y - 35. Let o(l) = -4*l**4 - 16*l**3 + 236*l**2 - 360*l + 176. Let x(v) = -3*o(v) - 16*z(v). Factor x(w).
-4*(w - 2)*(w - 1)**2*(w + 4)
Let a(l) be the first derivative of 3/8*l**4 + 77 - 40500*l - 45*l**3 + 2025*l**2. Solve a(z) = 0 for z.
30
Let k(q) = q**2 - 37*q + 58. Let o(w) = 20575*w**2 - 25*w - 20573*w**2 - 50*w + 115. Let z(s) = -9*k(s) + 4*o(s). Suppose z(p) = 0. What is p?
2, 31
Factor 10/19*c**3 - 56/19*c**2 + 0 + 2/19*c**4 - 64/19*c.
2*c*(c - 4)*(c + 1)*(c + 8)/19
Let g(t) be the third derivative of 21/20*t**5 + 6 + 0*t + 15/2*t**4 + 25/2*t**3 + 3*t**2 + 1/20*t**6. Factor g(f).
3*(f + 5)**2*(2*f + 1)
Suppose 0 = -9*o - 108 + 162. Let b(s) be the second derivative of 0*s**2 + 6/5*s**5 - 18*s + 4*s**4 + 16/3*s**3 + 2/15*s**o + 0. Factor b(a).
4*a*(a + 2)**3
Let -40/3*d + 2 - 46/3*d**2 = 0. Calculate d.
-1, 3/23
Let m(n) be the third derivative of 343*n**6/24 - 1127*n**5/4 + 18515*n**4/8 - 60835*n**3/6 + 812*n**2 - 3*n + 1. Factor m(v).
5*(7*v - 23)**3
Suppose 0 = j - 2*g - 5, -j + 3*g = 5*g - 5. Let a be (j - (-132)/(-20))*(-5)/2. Suppose -17*v**a - 2*v**3 - 4*v**3 - 19*v**4 - 2*v**3 + 44*v**5 = 0. What is v?
-2/11, 0, 1
Suppose -4*n + 31*n = 0. Let a(w) be the third derivative of 0 + 0*w - 1/20*w**5 + n*w**3 + 1/20*w**4 + 10*w**2 - 7/200*w**6. Factor a(i).
-3*i*(i + 1)*(7*i - 2)/5
Let k(g) be the third derivative of -g**5/300 + 49*g**4/12 + 491*g**3/30 + 1345*g**2 + g. Factor k(a).
-(a - 491)*(a + 1)/5
Let u(f) be the second derivative of -8*f**3 + 1/4*f**4 + 8 - 4*f + 117/2*f**2. Factor u(r).
3*(r - 13)*(r - 3)
Determine x so that 242/7*x**3 + 10/7*x**4 - 554/7*x - 222/7*x**2 - 100/7 = 0.
-25, -1, -1/5, 2
Let a(z) be the second derivative of z**7/168 - 5*z**6/36 - 11*z**5/24 - 11*z**3/2 - 2*z + 9. Let i(p) be the second derivative of a(p). Factor i(l).
5*l*(l - 11)*(l + 1)
Suppose -3*o + r = -17, -o - 2*r - 12 = -13. Let a(t) be the first derivative of 2/27*t**3 + 0*t**2 + 0*t + 2/45*t**o - 1/9*t**4 + 1. Factor a(n).
2*n**2*(n - 1)**2/9
Let a be 18/(-21)*(-294)/(-168)*(-24)/5. Find m, given that -3/5*m**4 + 42/5*m + 81/5*m**2 + a*m**3 + 0 = 0.
-1, 0, 14
Let i(h) = -2*h**2 + 6*h + 18. Let m be i(5). Let q be (21/m)/((-152)/76). Factor q*g**2 + 1/4*g**3 + 147/4*g + 343/4.
(g + 7)**3/4
Let o(l) = 4*l**2 - 24*l. Let c(j) = -4*j. Let u(a) = 8*c(a) - o(a). Suppose u(b) = 0. Calculate b.
-2, 0
Let s(n) be the first derivative of n**4/2 + 1052*n**3/3 + 1049*n**2 + 1048*n + 4080. Factor s(g).
2*(g + 1)**2*(g + 524)
Suppose 53*s + 20*s = -260*s. Let q(w) be the third derivative of -17*w**2 - 1/3*w**3 + 1/24*w**4 + 0*w + s + 1/60*w**5. Solve q(k) = 0 for k.
-2, 1
Let v(u) be the third derivative of -u**8/1680 + 17*u**7/1050 - 2*u**6/15 + 16*u**5/75 - 1148*u**2 - 1. Solve v(q) = 0.
0, 1, 8
Suppose -65 = v - 6*v - 3*c, -2*v - c = -27. Let x(b) be the second derivative of -9*b**2 - 2*b**3 - 1/6*b**4 + 0 - v*b. Factor x(l).
-2*(l + 3)**2
Let g(x) be the first derivative of 5*x**3/3 + 795*x**2 - 3200*x - 1463. What is r in g(r) = 0?
-320, 2
Let x(p) be the first derivative of -2/25*p**5 + 99 + 6/5*p**3 + 27/5*p**2 - 3/10*p**4 + 0*p. Let x(v) = 0. Calculate v.
-3, 0, 3
Let w be 12*(3916/(-132))/(-89). Factor 124/7*d - 1/7*d**w + 5/7*d**3 + 88/7 + 54/7*d**2.
-(d - 11)*(d + 2)**3/7
Factor 25*l**3 + 2*l**3 + 30*l - 3*l**3 + 13*l**3 + 5*l**4 - 9 - 3*l**3 + 68*l**2.
(l + 1)*(l + 3)**2*(5*l - 1)
Let m be (-2 + -3)*((-1)/9)/(43/387). Let g(u) be the second derivative of 0 + 4*u**4 - 3/5*u**m - 14/3*u**3 - 2*u - 4/15*u**6 + 0*u**2. Factor g(n).
-4*n*(n - 1)**2*(2*n + 7)
Let z(b) be the third derivative of -b**5/30 - 53*b**4/12 + 26*b**2 - 15. Factor z(k).
-2*k*(k + 53)
Suppose 16 = -4*c, 0 = -3*w + 5*c + 18 + 17. Let n be (((-6890)/351)/53)/(1/(-9)) - 2. Find l such that w*l + n*l**2 - 4/3 = 0.
-4, 1/4
Suppose 309*f + 10 = 6 + 4. Factor f - 7/5*u**2 + 2/5*u.
-u*(7*u - 2)/5
Let u(k) = 21*k**3 + 5*k**2 + 4*k - 7. Let y be u(-3). Let w = 2726/5 + y. Determine x so that -26/5*x**3 - 34/5*x**2 - 1 - w*x - 9/5*x**4 - 1/5*x**5 = 0.
-5, -1
Factor 2/5*t**4 + 18*t + 0 - 42/5*t**2 - 2/5*t**3.
2*t*(t - 3)**2*(t + 5)/5
Suppose 7*n + 932 = -314. Let k = n - -180. Solve 0*j + 6/5*j**3 + 2/5*j**k + 0 = 0 for j.
-1/3, 0
Let d(b) be the third derivative of -b**5/72 + 5*b**4/9 - 35*b**3/4 + 7*b**2 + 4*b - 91. Factor d(s).
-5*(s - 9)*(s - 7)/6
Let q(k) = -68*k**2 - 49*k + 25. Let t(y) = 950*y**2 + 685*y - 350. Let m = 548 + -542. Let a(z) = m*t(z) + 85*q(z). Solve a(g) = 0.
-1, 5/16
Let t(d