 c - -166. Factor 2/3*y**3 - 8/3*y + d - 4/3*y**2.
2*(y - 2)**2*(y + 2)/3
Suppose -4*p + 153 = 3*x - 1398, 0 = -2*p + x + 783. Let v = p - 388. Solve -1/2 - 1/2*h**v + h = 0 for h.
1
Factor -34*u + 0*u**2 + 4*u**2 + 141*u + 245*u.
4*u*(u + 88)
Let c(j) be the second derivative of -j**5/10 - 329*j**4/36 - 320*j**3/9 - 317*j**2/6 + 8*j - 7. Determine r, given that c(r) = 0.
-317/6, -1
Let l(y) = 20*y**2 - 43*y + 6. Let p be l(2). Factor -1/4*v**3 + 0*v + p + 5/4*v**2.
-v**2*(v - 5)/4
Suppose -4*g + 11*g = 14. Suppose 0 = 3*h - 5*b - 31, 0*b + b + 9 = g*h. Suppose h*x**2 - 5*x**4 + 3*x**4 - 3*x**2 + 2*x**5 - 2*x**3 + 3*x**2 = 0. What is x?
-1, 0, 1
Solve -35*r**3 - 2*r**4 + 31*r**3 - 2*r**4 - 4*r**2 + 4*r**2 = 0 for r.
-1, 0
Suppose 0 = -5*j + 5*h + 60, 62 = -391*j + 397*j - 5*h. Factor 0 + 0*z + 2/7*z**3 - 2/7*z**j.
2*z**2*(z - 1)/7
Factor 12797*c**2 + 2*c**4 - 12791*c**2 - 8 + 8*c + 3*c**3 - 11*c**3.
2*(c - 2)**2*(c - 1)*(c + 1)
Let b(p) be the second derivative of 11*p**6/10 - 39*p**5/10 + 19*p**4/4 - 2*p**3 - 8*p + 17. Solve b(v) = 0 for v.
0, 4/11, 1
Let t(z) be the third derivative of 1/14*z**7 + 5/336*z**8 + 35*z**2 + 0 + 0*z + 0*z**3 - 5/24*z**6 + 5/6*z**4 - 1/4*z**5. Factor t(i).
5*i*(i - 1)**2*(i + 1)*(i + 4)
Let n(b) = -623*b + 64304. Let u be n(103). Let d(q) = -27*q. Let j be d(-6). Suppose -30*x**3 - 1/8*x**5 - j - u*x**2 - 25/8*x**4 - 270*x = 0. What is x?
-6, -1
Let a(h) be the third derivative of -2*h**2 + 49/6*h**3 - 16*h - 3/10*h**5 - 1/1470*h**7 + 0 - 7/6*h**4 - 1/42*h**6. Determine x, given that a(x) = 0.
-7, 1
Let w(l) be the third derivative of l**6/80 - 717*l**5/10 + 171363*l**4 - 218430704*l**3 + 1812*l**2 - 2. Solve w(r) = 0 for r.
956
Let r(j) be the first derivative of 3*j**4/20 + 8*j**3/5 + 6*j**2 + 48*j/5 + 2641. Solve r(h) = 0 for h.
-4, -2
Let b(w) = 2*w**2 + 42*w + 4. Let h be b(-21). Factor -45*k**3 - 94*k**h + 47*k**4 + 52*k**4.
5*k**3*(k - 9)
Factor 9885*f**4 - 4932*f**4 - 87*f**3 - 4952*f**4 + 171*f**2 - 85*f.
f*(f - 85)*(f - 1)**2
Let u(s) = s**4 - 378*s**3 - 719*s**2 - 400*s + 5. Let f(d) = -188*d**3 - 360*d**2 - 196*d + 2. Let y(q) = 5*f(q) - 2*u(q). Solve y(o) = 0.
-90, -1, 0
Let r(j) be the third derivative of -5*j**7/42 - 41*j**6/12 - 229*j**5/12 - 115*j**4/6 + 130*j**3 - 39*j**2 - 1. Suppose r(t) = 0. What is t?
-13, -2, 3/5
Let b(s) = -5*s - 15. Let f be b(-12). Let 8 + 2*k**3 - 44 - 32*k**2 - f*k + 34*k - 59*k = 0. What is k?
-1, 18
Let w be 1*7/(-21)*-63. Let k be (2870/w)/10 + -3. Suppose k*l**2 - 14/3*l**3 - 22/3*l + 4/3 = 0. What is l?
2/7, 1
Find a such that 2*a**3 - 55*a**2 - 15*a - 177752 - a**4 + 177808 + 13*a**3 = 0.
-1, 1, 7, 8
Let t(m) be the first derivative of -m**4/16 + 22*m**3 - 1497. Solve t(g) = 0.
0, 264
Let r(q) = 8*q**4 + 59*q**3 + 240*q**2 + 154*q - 14. Let n(p) = -13*p**4 - 88*p**3 - 360*p**2 - 230*p + 22. Let i(u) = 7*n(u) + 11*r(u). Solve i(v) = 0.
-2, -1, 0, 14
Factor 307/4*k + 1/4*k**3 + 57 + 20*k**2.
(k + 1)*(k + 3)*(k + 76)/4
Factor 4388/5*m + 2/5*m**2 + 2406818/5.
2*(m + 1097)**2/5
Let d be 7/(0 - 7) - -2. Suppose 3*v - s = 3*s + 4, -3*v + s = -d. Factor -2/5*m + 0*m**3 + 1/5*m**4 + v - 3/5*m**2.
m*(m - 2)*(m + 1)**2/5
Solve 36/11*b + 0 + 4/11*b**4 - 30/11*b**2 - 2/11*b**3 = 0 for b.
-3, 0, 3/2, 2
Let t = -32873/930 - -2299/62. Factor -2/15*a**2 + t - 8/5*a.
-2*(a - 1)*(a + 13)/15
Let i(w) be the third derivative of w**5/60 + 143*w**4/6 + 40898*w**3/3 + 396*w**2 + 2*w + 4. Factor i(l).
(l + 286)**2
Suppose 81 - 69 = 4*p. Determine o, given that -10*o**p + 16*o - 12*o**2 + 0*o + 6*o**3 = 0.
-4, 0, 1
Suppose -27 = -446*m + 445*m + 2*p, 4*m + 3*p - 130 = 0. Find u, given that m*u + 1/4*u**2 + 961 = 0.
-62
Suppose 0 = 3474*j - 3479*j + 20. Factor -2/9*q**j + 20/3*q**3 + 0 - 50*q**2 + 0*q.
-2*q**2*(q - 15)**2/9
Factor -83521 - 290*t**2 + 84677/2*t + 1/2*t**3.
(t - 289)**2*(t - 2)/2
Let p(y) = y**2 - 97*y - 29868. Let h be p(-131). Suppose 1/2*i**2 + 2*i**5 + h + 0*i - 7/2*i**4 + i**3 = 0. Calculate i.
-1/4, 0, 1
Let c(v) be the third derivative of 1/330*v**5 - 9*v**2 - 28/33*v**4 + 0*v + 0 + 3136/33*v**3. Solve c(w) = 0.
56
Let h(q) be the first derivative of q**4/32 + 307*q**3/24 + 23095*q**2/16 - 72075*q/8 - 2082. Suppose h(s) = 0. What is s?
-155, 3
Let n(a) be the second derivative of 43*a - 6/25*a**6 - 17/25*a**5 + 2/15*a**3 + 0 + 0*a**2 - 7/15*a**4. Factor n(l).
-4*l*(l + 1)**2*(9*l - 1)/5
Let h be ((-11718)/324 - -36)*72/(-10). Factor -3/5*y**3 - h*y**2 + 6/5 + 3/5*y.
-3*(y - 1)*(y + 1)*(y + 2)/5
Let r = 1139 - 1139. Let u(y) be the third derivative of 0*y + 1/8*y**4 + r*y**3 + 0 + 16*y**2 - 1/120*y**6 - 1/30*y**5. Suppose u(x) = 0. Calculate x.
-3, 0, 1
Let f(n) be the second derivative of -n**6/45 - 3*n**5/10 - 4*n**4/3 - 16*n**3/9 - 1504*n. Factor f(a).
-2*a*(a + 1)*(a + 4)**2/3
Suppose 460 = -110*y + 156*y. Let d(n) be the first derivative of n**4 - 1/5*n**5 - y - n**3 + 0*n**2 + 0*n. Factor d(o).
-o**2*(o - 3)*(o - 1)
Suppose 0 = -4*n + w + 30, -5*n = -8*n + 3*w + 27. Let y be 5 - (6 + (-42)/n). Solve -27*t**y - 39/2*t**2 + 0 + 3*t + 24*t**3 + 39/2*t**4 = 0 for t.
-1, 0, 2/9, 1/2, 1
Let l be (1060/(-30))/((-6)/81). Let f = l + -474. Factor 4/5*j**2 - 4/5 + 6/5*j**f - 6/5*j.
2*(j - 1)*(j + 1)*(3*j + 2)/5
Let l(g) = 3*g**2 + 8*g + 3. Suppose -3*s + 21 = -c + s, 0 = 4*s - 16. Let y(d) = -7*d**2 - 17*d - 5. Let w(k) = c*l(k) - 2*y(k). Factor w(a).
-(a + 1)*(a + 5)
Let w be -5 + 31/(496/112). Let 0 + 0*o + 28/5*o**w + 2/5*o**3 = 0. What is o?
-14, 0
Suppose 6612 = 12*g + 1056. Factor 960*k + 329*k**2 + 125*k**3 + g + 49 + 271*k**2.
(5*k + 8)**3
Let i(x) be the first derivative of -x**6/300 + x**5/20 + 7*x**4/10 + 13*x**3 + 33. Let v(g) be the third derivative of i(g). Factor v(y).
-6*(y - 7)*(y + 2)/5
Let c be (-2)/5 - (-324)/10. Factor 25*l**4 + 2*l**5 - 48*l**2 - 8*l**3 + 2*l**5 - 13*l**4 - c*l.
4*l*(l - 2)*(l + 1)*(l + 2)**2
Let q(p) be the first derivative of -70/3*p**2 + 490/3*p - 35/24*p**4 + 42 - 5/36*p**6 + 11/6*p**5 - 715/18*p**3. Let q(h) = 0. Calculate h.
-2, 1, 7
What is h in -3/5*h**2 - 54/5*h + 57/5 = 0?
-19, 1
Let x(c) be the third derivative of -1/140*c**5 + 0 + 104*c**2 + 0*c + 0*c**3 - 1/56*c**4. Factor x(w).
-3*w*(w + 1)/7
Let p(q) be the first derivative of -2/5*q**5 + 3/2*q**4 + 10*q**3 + 12*q + 106 + 17*q**2. Factor p(g).
-2*(g - 6)*(g + 1)**3
Let o(v) be the third derivative of -v**8/1176 - 2*v**7/105 - 73*v**6/420 - 4*v**5/5 - 12*v**4/7 + 254*v**2 + 4*v. Factor o(m).
-2*m*(m + 3)**2*(m + 4)**2/7
Let j(x) be the second derivative of 20*x**7/7 + 19*x**6/6 - 5*x**5/4 + 3131*x. Factor j(u).
5*u**3*(u + 1)*(24*u - 5)
Let f = -869 - 152. Let p = f - -1023. Let -12/7*o - 2/7*o**p - 18/7 = 0. What is o?
-3
Let g(s) = 13*s**2 + 438*s - 1897. Let d(a) = -3*a**2 - 110*a + 474. Let n(t) = 9*d(t) + 2*g(t). Suppose n(q) = 0. What is q?
-118, 4
Suppose -136*d = -91*d - 71 - 64. Determine f so that 18/7*f + 27/7*f**2 + 3/7*f**d - 48/7 = 0.
-8, -2, 1
Let o be ((-4)/(32/(-30)))/(1064/112*1/19). Factor -5/4*a**2 + 0 + o*a.
-5*a*(a - 6)/4
Let o = 333 + -331. Suppose -10*s = o*s - 4*s. Factor -8/3*b**4 + 2/3*b**5 + 4*b**3 + s + 2/3*b - 8/3*b**2.
2*b*(b - 1)**4/3
Let h(g) be the third derivative of -g**7/2100 - g**6/225 + g**5/300 + g**4/15 - 31*g**3 - 123*g**2. Let c(d) be the first derivative of h(d). Factor c(y).
-2*(y - 1)*(y + 1)*(y + 4)/5
Suppose 0 = -g + 6509*y - 6506*y - 24, 3*g = -4*y + 32. Let -6*i + 7/2*i**3 + 2*i**2 + g + 1/2*i**4 = 0. Calculate i.
-6, -2, 0, 1
Let w(s) be the first derivative of 3*s**5/25 - 177*s**4/20 + 111*s**3/5 + 513*s**2/10 - 5368. Let w(b) = 0. Calculate b.
-1, 0, 3, 57
Suppose 0*z - 2292 = 10*z - 2362. Let u(m) be the second derivative of z*m + 0*m**2 + 1/10*m**3 + 0 + 1/30*m**4 - 1/100*m**5. Factor u(f).
-f*(f - 3)*(f + 1)/5
Let 1044/13*c + 2/13*c**2 + 136242/13 = 0. What is c?
-261
Factor 7/6*l**2 + 1/6*l**3 - 30 - 4*l.
(l - 5)*(l + 6)**2/6
Determine w so that -252/5 + 2/15*w**4 - 118/15*w**3 - 526/15*w**2 + 466/5*w = 0.
-6, 1, 63
Let b(k) be the first derivative of -3*k**4/10 - 58*k**3/15 - 72*k**2/5 - 72*k/5 + 1337. Suppose b(i) = 0. Calculate i.
-6, -3, -2/3
Let s = 115357 - 115354. Factor -s*z**3 + 49/6*z**2 + 2/3 - 14/3*z.
-(z - 2)*(2*z - 1)*(9*z - 2)/6
Let k(p) = p**3 - 573*p**2 + 85266*p + 85837. Let f(i) = -4*i**2 - i