i, -i = 9*p - 7*p - 7. Solve -11*s + 3*s**3 - 2*s**3 - 6*s**2 - 8*s + p*s - 8 = 0 for s.
-1, 8
Let 1/3*l**3 + 2704/3*l + 104/3*l**2 + 0 = 0. What is l?
-52, 0
Let x(r) be the second derivative of r**5/60 - 593*r**4/36 + 9735*r**3/2 + 29403*r**2/2 - 431*r - 6. Factor x(w).
(w - 297)**2*(w + 1)/3
Solve 61422*c**3 - 48*c**4 - 30651*c**3 - 2*c**5 - c**5 - 30663*c**3 = 0 for c.
-18, 0, 2
Let y = 583/3 + 7139/12. Let t = -788 + y. Factor 0 + 5*k + t*k**2.
5*k*(k + 4)/4
Let h = 10537/2 + -5267. Solve -9/2*d**2 + 3/2*d + 3/2*d**4 + 3 - h*d**3 = 0.
-1, 1, 2
Let t(p) be the second derivative of -2*p**5 + 83*p**4/3 - 116*p**3 + 90*p**2 - 2*p + 28. Find h such that t(h) = 0.
3/10, 3, 5
Let r(y) be the first derivative of -5*y**3/3 + 145*y**2 - 3360*y - 3234. Factor r(t).
-5*(t - 42)*(t - 16)
Let -30*k**2 + 21*k**3 - 72/5 + 72/5*k**4 - 27/5*k**5 - 228/5*k = 0. Calculate k.
-1, -2/3, 2, 3
Let t be ((-17)/(-2) + -8)/(2/312). Let g = 88 - t. Suppose 17*b**2 - 9*b**2 - g*b**2 = 0. What is b?
0
Let b(j) = 2*j**5 + 2*j**4 - j**2 - j + 1. Let g(o) = -5*o**5 - 27*o**4 + 113*o**3 - 216*o**2 + 129*o - 3. Let d(f) = 3*b(f) + g(f). Factor d(p).
p*(p - 14)*(p - 3)**2*(p - 1)
Let r(v) = -15*v**2 - 10*v + 50. Let a(u) = -11*u + 30*u - 7*u + 8*u**2 - 7*u - 24. Let c(i) = 5*a(i) + 3*r(i). Solve c(k) = 0.
-3, 2
Let b(t) be the first derivative of t**5/30 - 21*t**4/8 + 31*t**3/9 - 3199. Find r, given that b(r) = 0.
0, 1, 62
Suppose -166*t + 149*t + 34 = 0. Factor -34*r + 14 + 16 - 9*r**2 - 4*r**t + 5*r**2.
-2*(r + 5)*(4*r - 3)
Suppose 13 = 5*v + 3*o, -4*v = 5*o - 6*o - 24. Let -5*l**5 - 287*l**4 + v*l**3 + 10*l**2 + 277*l**4 + 3 - 3 = 0. What is l?
-2, -1, 0, 1
Let p be -1 + (-21)/(-18) - 357/(-126). Factor -30 - 5*g - 31*g + 15*g - p*g**2.
-3*(g + 2)*(g + 5)
Let l(r) = -r**3 + 7*r**2 + 32*r - 126. Let b be l(9). Let u(y) be the second derivative of b + 0*y**2 + 10*y - 1/6*y**4 + 0*y**3 - 1/5*y**5. Factor u(z).
-2*z**2*(2*z + 1)
What is t in 644*t + 596*t**4 + 1916*t**2 - 906*t**3 - 42550219*t**5 + 42550203*t**5 + 2790*t**3 = 0?
-1, 0, 161/4
Let o(d) = 3*d**5 - 5*d**4 + d**3 + d**2 - 4*d. Let m(f) = 7*f**5 - 10*f**4 + 3*f**3 - 10*f. Let p(w) = 2*m(w) - 5*o(w). Suppose p(k) = 0. What is k?
-1, 0, 1, 5
Solve -3240*c**4 - 400*c**5 + 874*c**2 + 905*c - 2150*c**3 - 4115*c**3 - 1024*c**2 + 150 = 0.
-5, -3, -1/4, 2/5
Let a(d) = -2*d + 73*d**3 + 0*d - 4 + d**2 - 74*d**3 + 3. Let n(c) = -4*c**2 - 16*c + 14. Let s(i) = -4*a(i) + 2*n(i). Solve s(b) = 0 for b.
-2, 1, 4
Let n = 1/13246 + -29866/827875. Let j = n + 67/125. Suppose j*k - 2*k**2 - 1/2*k**3 + 2 = 0. Calculate k.
-4, -1, 1
Let d(p) be the first derivative of 55*p**4/4 - 290*p**3/3 - 1905*p**2/2 + 540*p - 2855. Let d(o) = 0. What is o?
-4, 3/11, 9
Solve 8096/9*s**3 + 0*s + 0 + 178/9*s**4 + 15488/9*s**2 + 1/9*s**5 = 0 for s.
-88, -2, 0
Suppose -27 + 34 = 5*g + b, g + 4*b = -10. Find j such that -42*j + 0 - 6*j**3 + 0 + 684*j**g - 597*j**2 = 0.
0, 1/2, 14
Factor 215*m + 348*m**2 - 688 - 29*m - 345*m - 4*m**3 - 177*m.
-4*(m - 86)*(m - 2)*(m + 1)
Let k(h) be the first derivative of 0*h + 1/14*h**6 - 3/7*h**3 - 3/28*h**4 + 52 + 0*h**2 + 9/35*h**5. Suppose k(l) = 0. Calculate l.
-3, -1, 0, 1
Let h(k) be the second derivative of -8 + 4*k**3 - k - 1/4*k**4 - 21/2*k**2. Let h(y) = 0. Calculate y.
1, 7
Let w(s) = 2*s**4 - 65*s**3 - 28*s**2 + 11*s - 11. Let v(f) = f**4 - 33*f**3 - 10*f**2 + 6*f - 6. Let m(c) = -11*v(c) + 6*w(c). Solve m(h) = 0 for h.
-2, 0, 29
Factor 11/8*q + 0 - 21/8*q**2 - 1/4*q**3.
-q*(q + 11)*(2*q - 1)/8
Let f = 29310 + -29308. Solve -6/5*v**3 - 16/15 - 56/15*v - 4*v**f = 0 for v.
-2, -2/3
Let 26448*w**3 + 62384*w**2 + 5*w**4 - 25383*w**3 + 5145000 + 1935500*w + 14266*w**2 = 0. What is w?
-70, -3
Let p(t) be the third derivative of -t**5/20 - 403*t**4/8 - 158*t**2 + 1. Factor p(l).
-3*l*(l + 403)
What is f in 330*f**2 + 72*f - 9*f + 342*f**2 - 60 - 675*f**2 = 0?
1, 20
Let p = -441773 - -441775. Suppose -49/4 + 7/2*j - 1/4*j**p = 0. What is j?
7
Let y(p) = 6*p**2 - 78*p - 177. Let b be y(15). Let j(d) be the second derivative of -1/5*d**5 - 10*d + 0*d**2 + 0 + 4/3*d**4 + 0*d**b. Factor j(n).
-4*n**2*(n - 4)
Let p(i) be the second derivative of -i**5/5 + i**4/3 + 244*i**3/3 + 240*i**2 + 14*i + 4. Factor p(u).
-4*(u - 12)*(u + 1)*(u + 10)
Let k(x) = -2*x**4 + x**3 + x + 1. Let q(l) = 4*l**4 + 2*l**3 - 351*l**2 - 2097*l - 961. Let w(j) = 3*k(j) + 3*q(j). Determine v so that w(v) = 0.
-8, -1/2, 15
Determine l, given that 87*l**4 - 42*l**4 + 10*l - 10*l**3 - 5*l**2 - 40*l**4 = 0.
-1, 0, 1, 2
Let g = -328852507/4253060 - 6/151895. Let f = g + 543/7. What is y in 1/2*y - f*y**2 - 1/4 = 0?
1
Suppose 9*p + 5671 = 5698. Let z(w) be the third derivative of 0 + 0*w + 1/54*w**4 - 8*w**2 + 0*w**p - 1/270*w**5. Factor z(u).
-2*u*(u - 2)/9
Let t(d) be the third derivative of -d**8/8064 - 5*d**7/252 - 25*d**6/18 + 32*d**5/15 + 41*d**2. Let i(l) be the third derivative of t(l). Factor i(k).
-5*(k + 20)**2/2
Let r(b) = -33*b**2 - 493*b + 494. Let a(p) = 8*p**2 + p - 1. Let h(f) = 4*a(f) + r(f). Suppose h(x) = 0. What is x?
-490, 1
Let y be -72 - 2664/(1184/(-32)). Suppose -2/7*t**2 + y*t + 2/7*t**4 + 0 - 2/7*t**5 + 2/7*t**3 = 0. Calculate t.
-1, 0, 1
Let c(q) be the second derivative of -q**6/120 + 6*q**5/5 + 49*q**4/8 + 37*q**3/3 + 99*q**2/8 - 6726*q. Factor c(o).
-(o - 99)*(o + 1)**3/4
Suppose 1264*s - 1262*s + 5 = -5*n, -6*n = -s - 28. Let z = 108/35 - 14/5. Suppose 6/7 + 10/7*k**2 + z*k**n + 2*k = 0. Calculate k.
-3, -1
Let w(k) be the second derivative of k**8/420 + k**7/105 + 13*k**3/2 - k**2 - 45*k. Let t(u) be the second derivative of w(u). Solve t(n) = 0.
-2, 0
Suppose -5*s - 2 = -127. Determine y, given that 2*y - s*y**3 + 17*y + 6*y + 6*y**2 + 10*y**4 - 10 - 6*y**2 = 0.
-1, 1/2, 1, 2
Suppose -360/7 + 129/7*s - 3/7*s**2 = 0. Calculate s.
3, 40
Let n(q) = -q**2 - 11*q + 8. Suppose 0 = 8*w - 9 - 15. Let o(v) = -v**2 - 9*v + 7. Let z(s) = w*n(s) - 4*o(s). Factor z(h).
(h - 1)*(h + 4)
Let b(f) be the first derivative of f**3/6 - 75*f**2 + 3282. Solve b(a) = 0.
0, 300
Let k(d) = -78*d**4 - 330*d**3 - 280*d**2 + 16*d - 8. Let c(a) = -26*a**4 - 111*a**3 - 93*a**2 + 5*a - 3. Let f(q) = 8*c(q) - 3*k(q). Factor f(y).
2*y*(y + 2)**2*(13*y - 1)
Let r(k) be the second derivative of 0 - k**2 - 110*k - 13/12*k**4 - 5/2*k**3. Factor r(p).
-(p + 1)*(13*p + 2)
Let h(d) be the first derivative of -d**3/3 - 2124*d**2 - 4511376*d - 3779. Factor h(r).
-(r + 2124)**2
Let h = -253868/5 + 50774. Suppose 0 - 8/5*q**4 + 12/5*q**3 + h*q - 8/5*q**2 + 2/5*q**5 = 0. Calculate q.
0, 1
Let s(h) = -81*h**2 - 10251*h + 64224. Let g(r) = -5*r**2 - 641*r + 4014. Let q(p) = 33*g(p) - 2*s(p). Factor q(l).
-3*(l - 6)*(l + 223)
Let r(j) be the first derivative of 0*j + 1/8*j**4 - 1/2*j**3 + 64 + 1/2*j**2. Find d, given that r(d) = 0.
0, 1, 2
Let z(j) = 719*j - 135891. Let i be z(189). Solve 4/5*l**3 + i + 12/5*l**2 + 8/5*l = 0.
-2, -1, 0
Let z(x) be the third derivative of 3*x**8/196 + 632*x**7/245 - 257*x**6/21 + 2368*x**5/105 - 863*x**4/42 + 72*x**3/7 - 1138*x**2. Determine k so that z(k) = 0.
-108, 1/3, 1
Suppose -5 = -5*c - 30, 0 = -4*i + 5*c + 25. Suppose -99*n = -97*n - 8. Factor 2/3*a**2 + 32/3*a**n + i*a - 16/3*a**3 + 0.
2*a**2*(4*a - 1)**2/3
Let g(t) = 15*t**3 + 189*t**2 + 54*t + 12. Let j(x) = 60*x**3 + 714*x**2 + 217*x + 47. Let q(c) = -11*g(c) + 3*j(c). Factor q(w).
3*(w + 1)*(w + 3)*(5*w + 1)
Let p(x) be the second derivative of 1/225*x**6 + 4/15*x**2 + 2*x - 13/45*x**3 - 7/150*x**5 + 1 + 1/6*x**4. Factor p(b).
2*(b - 4)*(b - 1)**3/15
Factor -553*j + 2*j**3 + 204*j + 198*j - 50*j**2 + 175*j + 4*j**4.
2*j*(j - 3)*(j + 4)*(2*j - 1)
Let w = 115238 - 115238. Factor w - 10/7*k**2 + 6/7*k + 4/7*k**3.
2*k*(k - 1)*(2*k - 3)/7
Let r(j) = 36*j**2 + 3952*j + 1008016. Let z(v) = -v**2 + 2*v. Let s(b) = -r(b) - 32*z(b). Factor s(x).
-4*(x + 502)**2
Suppose -2*o + 4 = 0, 9*s - 3*o = 14*s - 6. Let m(z) be the third derivative of -1/48*z**4 + 0 - 4*z**2 + s*z + 0*z**3 - 1/240*z**5. Find t such that m(t) = 0.
-2, 0
Let m be (2/4)/((-374)/44*2/(-102)*6). Factor 0 + 41/2*w + m*w**2.
w*(w + 41)/2
Let a(g) be the second derivative of g**5/170 + 25*g**4/102 - g**3/51 - 25*g**2/17 + 487*g + 2. Factor a(b).
2*(b - 1)*(b + 1)*(b + 25)/17
Let v(p) = 13*p**5 - 9*p**4 - 17*p**