15*t**5 + 0*t - 128/3*t**4 - 1/84*t**8. Solve z(d) = 0.
-16, -1, 0
Let b be ((-124)/20)/((-3)/15). Let p(f) = -15*f + 5*f**3 - 18*f + b*f - f**2. Let q(w) = 6*w**3 - 3*w. Let y(k) = 3*p(k) - 2*q(k). Find s such that y(s) = 0.
0, 1
Find m such that -1742*m**2 - 1356*m - 392*m + 3662*m**2 - 361 - 265*m**3 + 1131 + 10*m**4 - 687*m = 0.
1/2, 1, 11, 14
Factor -9*w + 4/3*w**3 - 431/6*w**2 + 0.
w*(w - 54)*(8*w + 1)/6
Suppose 13 = r - 2. Suppose 0*y - r = -3*y, y - 11 = -3*p. Factor 0 + 0*j**p - 1/4*j**3 + 0*j.
-j**3/4
Let r(j) = 31*j**3 - j + 2*j + 6 - j**2 - 30*j**3 + 1 - 11. Let t be r(2). Factor 0 + 2/3*f**3 + 4/3*f + t*f**2.
2*f*(f + 1)*(f + 2)/3
Let k(f) be the third derivative of 0*f - 5 - 2/35*f**7 + 3/40*f**6 - 3*f**2 + 1/20*f**5 + 0*f**3 + 0*f**4. Factor k(n).
-3*n**2*(n - 1)*(4*n + 1)
Factor -6/5*o**4 - 16/5*o**2 + 9/5*o - 2/5 + 1/5*o**5 + 14/5*o**3.
(o - 2)*(o - 1)**4/5
Factor -158*l**2 - 1533*l**3 + 4482 - 76*l + 1499*l**3 - 4434.
-2*(l + 1)*(l + 4)*(17*l - 6)
Let b = 95 + -94. Let 7 - 40*o**2 - 25*o**3 - b + 57 - 33 + 35*o = 0. Calculate o.
-2, -3/5, 1
Determine p, given that -3/7*p**3 + 66/7*p**2 - 177/7*p + 114/7 = 0.
1, 2, 19
Let d = -406/9 - -135631/3006. Let g = 82/167 + d. Let 0 + g*t - 1/4*t**5 - 1/4*t**3 - 3/4*t**4 + 3/4*t**2 = 0. What is t?
-2, -1, 0, 1
Suppose 101 = -319*l + 238 + 501. Suppose -1/3*f**5 - 1/3*f + 1 + 2/3*f**3 + f**4 - 2*f**l = 0. What is f?
-1, 1, 3
Let q(h) be the third derivative of h**8/1680 + 13*h**7/1050 - 21*h**6/200 + 83*h**5/300 - 17*h**4/60 - 391*h**2 - 3*h. Determine n, given that q(n) = 0.
-17, 0, 1, 2
Let d(t) be the third derivative of 0*t**3 + 1/525*t**7 + 0*t + 217*t**2 + 32/25*t**5 + 0 + 128/15*t**4 - 1/10*t**6. Factor d(c).
2*c*(c - 16)**2*(c + 2)/5
Let y(r) be the first derivative of r**6/21 - 272*r**5/35 + 2372*r**4/7 - 14492*r**3/21 - 57017*r**2/7 - 89780*r/7 + 10016. Suppose y(f) = 0. Calculate f.
-2, -1, 5, 67
Let v = -205538 - -1438772/7. Factor 18/7 + v*r + 2/7*r**3 - 10/7*r**2.
2*(r - 3)**2*(r + 1)/7
Let i(g) be the first derivative of 4*g**5 - 1/2*g**6 + 6*g + 18*g**3 + 42 - 29/2*g**2 - 12*g**4. Solve i(z) = 0 for z.
2/3, 1, 3
Let p(s) = -13*s**2 + 68*s - 1150. Let c(w) = 136*w - 60*w**2 + 5*w**2 + 27*w**2 - 357 - 1942. Let h(r) = -6*c(r) + 13*p(r). Factor h(l).
-(l - 34)**2
Solve -q**3 + 12*q**2 + 340 + q**2 - 706 - 53*q + 400 + 7*q**2 = 0 for q.
1, 2, 17
Find v such that 1228 + 3759*v**2 - 407*v - 3757*v**2 - 823*v = 0.
1, 614
Let j(z) be the first derivative of z**8/560 - z**6/20 - z**5/5 - 3*z**4/8 - 4*z**3 - 134. Let u(b) be the third derivative of j(b). Factor u(n).
3*(n - 3)*(n + 1)**3
Let f(d) be the first derivative of 5*d**4/12 + 10*d**3/3 + 15*d**2/2 + 94*d - 78. Let v(p) be the first derivative of f(p). Find s such that v(s) = 0.
-3, -1
Let q(k) be the first derivative of -k**8/5040 + k**6/360 - k**5/180 + 2*k**3/3 + 15*k - 183. Let p(v) be the third derivative of q(v). Factor p(y).
-y*(y - 1)**2*(y + 2)/3
Let p(d) be the second derivative of d**4/42 - 622*d**3/7 + 870489*d**2/7 + 412*d - 4. Solve p(k) = 0.
933
Let l(x) = x**3 - 15*x**2 + 3*x - 37. Let p be l(15). Factor 232*v**3 - 6728*v**2 - 200*v + 8 + 200*v - 2*v**4 - p.
-2*v**2*(v - 58)**2
Let d(r) be the second derivative of 5*r**4/12 + 80*r**3/3 - 165*r**2/2 - r + 17. Let d(y) = 0. Calculate y.
-33, 1
Factor 160 + 352/9*f - 2/9*f**2.
-2*(f - 180)*(f + 4)/9
Let l(r) = -12*r**3 - 328*r**2 + 348*r + 672. Let w(b) = 22*b**3 + 658*b**2 - 696*b - 1346. Let c(g) = 7*l(g) + 4*w(g). Factor c(x).
4*(x - 2)*(x + 1)*(x + 85)
Suppose 0 = a + p - 6, 5*a + 2*p - 17 = 10. Suppose -4*k + 15 = -a. Suppose -8*x**3 - 68*x**5 - 63*x**k + 129*x**5 + 8*x**4 = 0. What is x?
0, 2
Let x(l) be the first derivative of -1/24*l**6 - 3/10*l**5 + 9/8*l**2 - 1/2*l**4 + l - 79 + 1/6*l**3. Factor x(u).
-(u - 1)*(u + 1)**3*(u + 4)/4
Factor 2/3*f**3 + 0 + 4/9*f**2 + 0*f + 2/9*f**4.
2*f**2*(f + 1)*(f + 2)/9
Let f(o) be the second derivative of -o**6/225 + 7*o**5/30 - 79*o**4/30 + 13*o**3 - 162*o**2/5 - 3585*o. Solve f(g) = 0 for g.
2, 3, 27
Let u be ((-343)/(-2))/(2/10). Let o(g) = g**3 - 57*g**2 + 155*g + 381. Let a be o(54). Factor 5/2*l**a + 105/2*l**2 + 735/2*l + u.
5*(l + 7)**3/2
Let d(f) = 17*f**2 - 833*f + 14. Let y be d(49). Let a(j) be the first derivative of 0*j + 0*j**3 + j**4 + 0*j**5 - 1/3*j**6 - y - j**2. Factor a(k).
-2*k*(k - 1)**2*(k + 1)**2
Find q, given that -16426*q**3 + 116280*q + 681*q**2 + 8218*q**3 + 8209*q**3 + 115600 = 0.
-340, -1
Let w(u) be the second derivative of -u**8/1344 + u**7/7 - 9*u**6 - u**4/2 + 6*u + 27. Let q(c) be the third derivative of w(c). Factor q(g).
-5*g*(g - 36)**2
Let x(p) be the first derivative of -p**7/210 + 4*p**6/45 - 2*p**5/3 + 8*p**4/3 + 64*p**3/3 - 67. Let q(y) be the third derivative of x(y). Factor q(h).
-4*(h - 4)*(h - 2)**2
Let a(r) be the second derivative of r**5/10 - r**4/3 - 8*r**3 + 101*r - 8. Factor a(f).
2*f*(f - 6)*(f + 4)
Let v(a) be the first derivative of 2*a**3/57 - 61*a**2/19 + 660*a/19 - 5252. Factor v(m).
2*(m - 55)*(m - 6)/19
Let b = 220 - 216. Factor 68*c + 1714*c**2 - 877*c**2 - 905*c**2 - 24 - 4*c**b + 28*c**3.
-4*(c - 3)*(c - 2)*(c - 1)**2
Let c(o) be the third derivative of o**6/900 + 3*o**5/50 + 29*o**4/60 - 23*o**3/9 - 3*o**2 - 630. Factor c(g).
2*(g - 1)*(g + 5)*(g + 23)/15
Let v(l) be the second derivative of -l**6/70 + 9*l**5/140 + 34*l**4/7 + 18*l**3 + 4641*l. Let v(s) = 0. Calculate s.
-9, -2, 0, 14
Let p = -24329/4800 + 3/1600. Let h = -56/15 - p. Suppose -h*u**2 + 0 - 4/3*u = 0. What is u?
-1, 0
Let h = 30071 - 30066. Let p(s) be the third derivative of -2/3*s**3 + 1/8*s**4 + 0*s + 0 - 1/120*s**h - s**2. Determine i so that p(i) = 0.
2, 4
Let u = -22 - -24. Let i = -2869 - -11477/4. Suppose -t**u + i*t + 1/6 + 7/12*t**3 = 0. Calculate t.
-2/7, 1
Factor -39*i + 503 - 304 - 307 - 3*i**2.
-3*(i + 4)*(i + 9)
Let b be 7/(-2) + (20 - 3/(180/950)). Factor 0 - 20/3*u**2 + b*u**3 + 50/3*u.
2*u*(u - 5)**2/3
Let l(u) be the second derivative of u**5/20 + 115*u**4/6 - 941*u**3/6 - 585*u**2 + 7335*u + 2. Factor l(w).
(w - 5)*(w + 1)*(w + 234)
Let n(q) be the third derivative of 1/35*q**7 + 1/168*q**8 + 1/20*q**6 + 1/30*q**5 + 0*q**4 + 16*q**2 + 0*q + 0*q**3 + 0. Determine c, given that n(c) = 0.
-1, 0
Let k(c) = c**3 + 93*c**2 + 168*c - 9180. Let q be k(-90). Solve 2/13*z**3 + 0 + q*z - 16/13*z**2 = 0 for z.
0, 8
Let d(y) be the third derivative of 22*y**3 + 0*y - 1/20*y**5 + 5/2*y**4 - 2 + y**2. Factor d(r).
-3*(r - 22)*(r + 2)
Let f(y) be the second derivative of 2565726409*y**7/63 - 3748322*y**6/15 + 2738*y**5/5 - 4*y**4/9 + 709*y - 4. Factor f(h).
2*h**2*(1369*h - 2)**3/3
Let m = -3259 - -9779/3. Let x(g) be the first derivative of -m*g**3 + 0*g - 5 - 5/8*g**4 - 1/10*g**5 + 0*g**2. Factor x(d).
-d**2*(d + 1)*(d + 4)/2
Suppose 0 = 2*p + 4*r, 6*p = 3*p - 5*r + 3. Suppose -5*i**2 + 10*i + 4*i + p*i = 0. What is i?
0, 4
Let o(z) = 57*z**3 - 231*z**2 + 300*z - 78. Let g(q) = -112*q**3 + 462*q**2 - 600*q + 149. Let t(d) = 6*g(d) + 11*o(d). Factor t(x).
-3*(x - 3)*(x - 2)*(15*x - 2)
Factor 78 - 168*p**2 + 82 + 56*p**2 - 156*p + 5278*p**3 - 212*p**2 - 5286*p**3.
-4*(p + 1)*(p + 40)*(2*p - 1)
Solve 6*i**3 + 116*i**2 - i**4 - 12 - 34*i**2 - 8*i - 8*i - 40*i**2 - 39*i**2 = 0 for i.
-1, 2, 6
Let r = -8171 + 8175. Let l(q) be the second derivative of -1/2*q**2 + 21*q + 0 - 7/80*q**5 - 5/6*q**3 - 23/48*q**r. Solve l(j) = 0.
-2, -1, -2/7
Let q(z) be the second derivative of -3*z**2 - 1/2*z**4 + 4/3*z**3 + 1/15*z**5 - 19*z + 0. Let j(d) be the first derivative of q(d). Factor j(u).
4*(u - 2)*(u - 1)
Let u be (-3 + 7/3)/(1/(-3)). Factor -8*f**2 + 20*f - 4*f**4 + 16 - 4*f**3 - 16*f**3 - 4*f**u.
-4*(f - 1)*(f + 1)**2*(f + 4)
Let g(l) be the first derivative of 3*l**4/16 - 109*l**3 + 35643*l**2/2 + 2689. Factor g(i).
3*i*(i - 218)**2/4
Let p(d) = 44*d**3 - 8*d**2 - 38*d + 8. Let x(f) = 35 - 15*f**2 - 80*f + 87*f**3 - 3 + 4*f - 17. Let o(g) = -11*p(g) + 6*x(g). Factor o(l).
2*(l - 1)*(l + 1)*(19*l - 1)
Let o(l) = 2*l**3 + 29*l**2 + 12*l - 6. Let d be o(-15). Let k = d - -414. Factor 0 + 2/3*r**k + 2/3*r + 4/3*r**2.
2*r*(r + 1)**2/3
Let o(w) = 20*w**3 + 468*w**2 + 460*w - 12. Let r(c) = 8*c**3 + 187*c**2 + 184*c - 5. Let i be (1/(-8))/(12/(-48))*-24. Let p(k) = i*r(k) + 5*o(k). Factor p(y).