
-5, -1, 1
Let c(s) be the third derivative of s**7/7560 - s**6/540 + s**5/216 + s**4/18 + 122*s**3/3 + 36*s**2. Let q(k) be the first derivative of c(k). Solve q(g) = 0.
-1, 3, 4
Factor -581*x - 1012683/2 - 1/6*x**2.
-(x + 1743)**2/6
Let q = -56912/27 + 284776/135. Factor -1/5*x**5 - 1/5*x**4 - q*x + 14/5*x**3 + 28/5*x**2 - 32/5.
-(x - 4)*(x - 1)*(x + 2)**3/5
Let c(f) be the third derivative of f**5/60 + 21*f**4 + 10584*f**3 - 961*f**2. Find z such that c(z) = 0.
-252
Let a be (2/(-4))/((-3)/(-6))*10*(-243)/6480. Factor 0 - a*r**2 - 81/4*r.
-3*r*(r + 54)/8
Suppose -430*f = -431*f + 2. Factor 603*w**f - 301*w**2 - 6912 - 288*w - 305*w**2.
-3*(w + 48)**2
Suppose -14*h = -10*h - 100. Suppose -4*v + h = v. What is x in -2*x**5 - 6*x**v - 446*x**3 - 38*x**2 + 30*x**4 + 430*x**3 + 24*x + 8 = 0?
-1, -1/4, 1, 2
Let t be 4/(-10) - ((-39)/15)/(-1). Let z be -3*(-4 - 1) + t + 0. Factor -4*o**3 + 2*o - 10*o + z*o.
-4*o*(o - 1)*(o + 1)
Suppose 2*o + 4*c + 6 = 42, -2*o = -4*c - 4. Suppose 47 - 17 = o*j. Factor 0*q - 3/2*q**j - q**2 + 0 + 5/2*q**4.
q**2*(q - 1)*(5*q + 2)/2
Let v(i) be the second derivative of i**4/78 + 60*i**3/13 - 28*i**2 - 2*i - 6. Solve v(s) = 0 for s.
-182, 2
Let l = -3967 - -3972. Let i(x) be the second derivative of 10/3*x**4 + 0 - 25*x - 2/3*x**3 - 4*x**2 - 16/15*x**6 - 4/5*x**l + 10/21*x**7. Factor i(n).
4*(n - 1)**3*(n + 1)*(5*n + 2)
Let j(k) = -k - 11. Let w be j(-10). Let s be 1 + (-8)/w - 4. What is u in 0 + 0*u**3 + 3/8*u**s + 0*u - 3/2*u**2 + 9/8*u**4 = 0?
-2, 0, 1
Suppose 10*s - 6*s = -3*y + 3475, 1169 = y + 4*s. Let x = 5767/5 - y. Let -8/5*r**3 - x - 12/5*r**2 - 8/5*r - 2/5*r**4 = 0. What is r?
-1
Factor 1888/15*a**2 + 0*a - 2/15*a**4 + 188/3*a**3 + 0.
-2*a**2*(a - 472)*(a + 2)/15
Let c(v) = -4*v**2 - 56*v - 201. Let h(y) = -12*y**2 - 168*y - 604. Suppose -7*z = -12*z - 25. Let i(s) = z*h(s) + 16*c(s). Factor i(x).
-4*(x + 7)**2
Let u(x) be the third derivative of -x**5/180 + 73*x**4/36 - 5329*x**3/18 - 1103*x**2. Factor u(i).
-(i - 73)**2/3
Let x = 73 + -72. Suppose -41 = -3*h + x. Factor 3*v**2 + 30*v - h*v**2 + 4*v**2 - v**2 - 18.
-2*(v - 3)*(4*v - 3)
Let d(s) = -3*s**3 + 2*s**2 + 6*s - 2. Let a(i) = i**3 + i + 1. Let x(b) = 2*a(b) + d(b). Factor x(j).
-j*(j - 4)*(j + 2)
Let f(r) be the second derivative of -12*r + 0*r**4 + 0 + 0*r**3 - 3*r**2 + 1/24*r**6 + 1/12*r**5. Let b(i) be the first derivative of f(i). Solve b(v) = 0.
-1, 0
Let o(m) be the third derivative of m**8/1680 - 11*m**7/1050 + 29*m**6/600 - m**5/300 - 7*m**4/20 - 2214*m**2. Solve o(z) = 0 for z.
-1, 0, 2, 3, 7
Let k be (1970 - 26)/(-72) + 29. Find t, given that -6*t - 21/4 - 3/4*t**k = 0.
-7, -1
Suppose q + 3*g - 4 = 0, -10*g + 12 = 3*q - 9*g. Factor -6*u**3 + 2*u**2 + 2*u**4 - 3*u**q + 7*u**3.
-u**2*(u - 2)*(u + 1)
Let d = -1390973/94290 + 4043/449. Let u = -29/70 - d. Solve u*b**2 + 0 + 0*b + 20/3*b**3 = 0.
-4/5, 0
Let x(y) be the first derivative of 1/2*y**6 + 0*y**2 + 0*y + 9/5*y**5 - 98 + 0*y**4 - 4*y**3. Factor x(i).
3*i**2*(i - 1)*(i + 2)**2
Factor 19698187*l**2 + 894*l + 216 + 164 - 10*l**3 - 19698331*l**2.
-2*(l - 5)*(l + 19)*(5*l + 2)
Let w(v) = -2*v**3 + 38*v**2 - 3*v + 3. Let i(b) = 4705*b**3 + 3 + 75*b**2 - 5*b + 2 - 4710*b**3. Let g(q) = -3*i(q) + 5*w(q). Factor g(s).
5*s**2*(s - 7)
Let j(r) be the third derivative of r**5/140 + 19*r**4/56 + 9*r**3/7 + 985*r**2. Factor j(s).
3*(s + 1)*(s + 18)/7
Let m(g) be the first derivative of 2*g**6/15 - 27*g**4/5 - 40*g**3/3 - 48*g**2/5 + 343. Determine q so that m(q) = 0.
-4, -1, 0, 6
Let l(f) be the third derivative of f**8/12096 - f**7/7560 + 7*f**5/60 - f**3/2 + 15*f**2. Let p(w) be the third derivative of l(w). Factor p(z).
z*(5*z - 2)/3
Let l = 4658824/3 - 1552842. Find q, given that -1/3*q**5 - 27 - 7*q**4 - l*q**2 - 46*q**3 - 87*q = 0.
-9, -1
Let s(i) = i**2 + 10*i + 26. Let j be s(-6). Find u such that -255*u - 2*u**j - 248*u - 253*u - 24 + 772*u = 0.
2, 6
Let x = -1684671 + 8996287. Factor x + 217*k**3 - 3*k**4 - 9*k**3 + 4*k**4 + 16224*k**2 + 831363*k - 268931*k.
(k + 52)**4
Let d(t) be the third derivative of -7*t**6/30 + 29*t**5/3 + 98*t**4/3 + 88*t**3/3 + 2*t**2 - 144*t. Factor d(b).
-4*(b - 22)*(b + 1)*(7*b + 2)
Let s(z) = -z**3 + 18*z**2 - 57*z + 24. Let c be s(14). Suppose -3*n + 27 = 4*f, -5*f + c*f = -3*n + 30. Let 5/4*g**f - 15*g**2 + 45*g + 0 = 0. Calculate g.
0, 6
Let q(k) be the third derivative of -k**6/30 + k**5 + 125*k**4/8 + 250*k**3/3 + 2049*k**2. Let q(f) = 0. What is f?
-5/2, 20
Let l = 26870/357 + -8798/119. Suppose -l*y**4 + 40/3*y + 52/3*y**2 + 8/3*y**3 + 0 = 0. What is y?
-2, -1, 0, 5
Let d(g) be the third derivative of -g**8/1512 + 2*g**7/315 + 31*g**6/180 + 127*g**5/135 + 14*g**4/9 + 6957*g**2. Find f, given that d(f) = 0.
-4, -3, -1, 0, 14
Factor 936*x + 521*x + 3*x**3 + 415*x + 428*x**2 + 1860 + 49*x**2.
3*(x + 2)**2*(x + 155)
Let i = -3/2275 - -458/2275. Let g(b) be the first derivative of 3*b - b**2 + i*b**5 + 1/2*b**4 - 1 - 4/3*b**3. Factor g(j).
(j - 1)**2*(j + 1)*(j + 3)
Let t(a) = -2*a**4 + 1044*a**3 - 113309*a**2 - 952*a + 113334. Let f(i) = 4*i**3 - i**2 + 2. Let x(u) = 46*f(u) - 2*t(u). Let x(r) = 0. What is r?
-1, 1, 238
Let d be -18*(((-1364)/24)/(-11) - 6). Determine q so that -45*q - d*q**2 - 6*q**3 + 3*q**3 + 27*q = 0.
-3, -2, 0
Let o = 479 - 459. Let y be (o + -27)*9/(-21). Find z, given that -4/3*z**5 + 4*z**y + 8/3*z**2 + 0 + 0*z**4 + 0*z = 0.
-1, 0, 2
Let t = -716611 - -716613. Let -4 + 18/5*b + 2/5*b**t = 0. What is b?
-10, 1
Suppose 4*d**2 + 2042214 - 17605*d + 10189*d - 291649 + 65573 + 1621178 = 0. What is d?
927
Let a(p) be the second derivative of p**5 + 5965*p**4/12 + 222755*p**3/3 + 111005*p**2/2 + 3095*p. Factor a(b).
5*(b + 149)**2*(4*b + 1)
Let p be -1*2*(-36)/(-192)*8. Let t be (-22)/66 + (-2)/p. Find x, given that t*x**2 + 0 + 2/3*x = 0.
-2, 0
Let r = 13272 + -530879/40. Let j(f) be the third derivative of -16*f**2 - 3/20*f**5 + 0*f**4 + 0 + 0*f - r*f**6 + 2*f**3. Factor j(k).
-3*(k - 1)*(k + 2)**2
Solve 204*n**3 + 16 + 252*n**4 - 160/3*n + 36*n**5 - 244/3*n**2 = 0.
-6, -1, -2/3, 1/3
Let m(c) be the first derivative of -c**6/24 + 17*c**5/5 - 88*c**4 + 768*c**3 + 8317. Factor m(j).
-j**2*(j - 36)*(j - 16)**2/4
Let a(t) be the second derivative of -9*t**7/14 + 1104*t**6/5 - 82131*t**5/4 + 89425*t**4/2 - 7198*t**3 - 44652*t**2 - 1391*t. Let a(v) = 0. What is v?
-1/3, 2/3, 1, 122
Suppose -53*c - 8 = -57*c. Factor 27*g - 5*g**2 + 2*g**2 + 30 - 3*g**2 + 3*g**c.
-3*(g - 10)*(g + 1)
Let o(q) be the third derivative of q**8/2520 + q**7/105 + 61*q**6/900 + 11*q**5/150 - 31*q**4/90 - 16*q**3/15 + 4489*q**2. Find l such that o(l) = 0.
-8, -6, -1, 1
Let w = 124 + 251. Let d = -371 + w. Factor -18*a**5 - 232/3*a**2 - 90*a**d + 0 - 16*a - 132*a**3.
-2*a*(a + 3)*(3*a + 2)**3/3
Let y(x) be the second derivative of -x**7/14 - x**6/10 + 9*x**5/20 + 5*x**4/4 + x**3 + 967*x. Factor y(v).
-3*v*(v - 2)*(v + 1)**3
Let f be (94/5)/(-1) + 9/(-45). Let l = f + 107/3. Determine m so that -20/3*m - l - 2/3*m**2 = 0.
-5
Let i be 6 + (-36)/4 + -12. Let p be (i/6)/(-12 - -2). Factor -p*c**4 + 5*c - 9/2*c**2 - 2 + 7/4*c**3.
-(c - 2)**3*(c - 1)/4
Let a be (2328/(-11349))/((-4)/69). Suppose a*i - 6/13 - 126/13*i**2 - 60/13*i**4 + 146/13*i**3 = 0. What is i?
1/3, 1/2, 3/5, 1
Suppose 8*z = -13 - 91. Let g be (-7)/z*(-16)/(-504)*9. Factor g*j**2 + 50/13 + 20/13*j.
2*(j + 5)**2/13
Determine x so that -77/3*x**2 - 15*x**3 + 1/3*x**4 + 1/3*x**5 + 400 + 520/3*x = 0.
-4, -3, 5
Determine i, given that -6144/5 + 1/5*i**4 - 34/5*i**3 + 296/5*i**2 + 256/5*i = 0.
-4, 6, 16
Let v = 16 - 13. Factor -135*g + 135 + 31*g**2 - 272*g**v + 14*g**2 + 267*g**3.
-5*(g - 3)**3
Let a = 647 - 643. Let i(r) be the second derivative of 7/90*r**5 + 0 - 14*r + 5/54*r**a - 2/27*r**3 + 0*r**2. Factor i(u).
2*u*(u + 1)*(7*u - 2)/9
Let s be (0/2)/(-27 - (-25 + -12))*1. Find z, given that s*z**2 - 4*z**3 + 0*z + 0 - 2/3*z**4 = 0.
-6, 0
Determine l, given that 2496/11 + 174/11*l**3 + 2/11*l**4 + 132*l**2 + 3776/11*l = 0.
-78, -4, -1
Let r(w) be the first derivative of -4*w**4 + 12*w**2 - 4/5*w**5 + 46 + 0*w - 4/3*w**3. Find t such that r(t) = 0.
-3, -2, 0, 1
Find a, given that -14*a**2 + 7*a**2 - 49*a**2 - 588*a - 3*a**3 - 49*a**2 = 0.
-28, -7, 0
Let l(v) be the third derivative of -17*v**2 - 2*v + 1