a**5 - 84*a + 1/12*a**3 - 5/4*a**2. Factor x(y).
-(y - 5)*(y - 1)*(y + 1)/2
Let f(b) = -15*b**3 + 83*b**2 + 428*b - 464. Let s(h) = 5*h**3 - 28*h**2 - 143*h + 154. Let r(o) = -3*f(o) - 8*s(o). Factor r(d).
5*(d - 8)*(d - 1)*(d + 4)
Let h(o) be the third derivative of 1/105*o**7 + 0*o**4 + 2/15*o**5 + 0 + 129*o**2 + 0*o + 0*o**3 + 1/15*o**6. Solve h(d) = 0.
-2, 0
Determine d so that 102/5*d**3 - 87/5*d - 36*d**2 + 126/5*d**4 + 54/5 - 3*d**5 = 0.
-1, 2/5, 1, 9
What is h in 0*h + 0 - 25/4*h**5 + 0*h**2 + 5*h**4 - h**3 = 0?
0, 2/5
Let f(h) be the second derivative of 5/16*h**4 - 21*h - 3/80*h**5 - 3/4*h**3 + 0*h**2 + 2. Factor f(u).
-3*u*(u - 3)*(u - 2)/4
Let x(y) be the third derivative of 8*y**7/105 + 19*y**6/10 + 73*y**5/5 + 1105*y**4/24 + 75*y**3/2 - 1662*y**2. Determine m, given that x(m) = 0.
-9, -5/2, -1/4
Let j(s) be the second derivative of -1/24*s**4 - 205*s + 11/12*s**3 - 9/2*s**2 + 0. Factor j(p).
-(p - 9)*(p - 2)/2
Let q(k) be the third derivative of -1/8*k**6 + 0*k**4 + 1/12*k**5 - 5/336*k**8 + 0*k + 1/14*k**7 + 0*k**3 + 48*k**2 + 0. Suppose q(x) = 0. Calculate x.
0, 1
Suppose -2*c - 1604 = -a - 1583, 0 = -a + 3*c + 29. Suppose 1/5 - 9/5*o + a*o**3 + 3*o**2 = 0. What is o?
-1, 1/5
Let u(q) = -119*q**2 - 99*q + 18. Let o(r) = -1665*r**2 - 1395*r + 255. Let g(d) = 6*o(d) - 85*u(d). Factor g(y).
5*y*(25*y + 9)
Let x = -8/635 - -62/889. Let n(a) be the first derivative of -4/7*a**2 + 2/7*a**3 + 2/7*a**4 - 8/7*a + 26 + x*a**5. Determine b so that n(b) = 0.
-2, -1, 1
Let 5440/3*u**2 - 512/3 - 28/3*u**5 + 472/3*u**4 - 2620/3*u**3 - 2752/3*u = 0. What is u?
-1/7, 1, 4, 8
Suppose 9*u - 409 = 6*u - 2*m, -3*u + 379 = -4*m. Suppose u*y + 24 = 145*y. What is z in -4/3 - 2*z + 0*z**y + 2/3*z**3 = 0?
-1, 2
Factor 0*s**3 - 11/9*s**4 + 0*s**2 - 1/9*s**5 + 0*s + 0.
-s**4*(s + 11)/9
Find x such that 3 + 2*x**4 - 34729*x**3 + 29*x**2 + 6 - 21*x + 34714*x**3 - 4 = 0.
1/2, 1, 5
Let b(s) be the third derivative of -5*s**8/336 - 31*s**7/21 - 100*s**6/3 - 736*s**5/3 + 6084*s**2. Factor b(m).
-5*m**2*(m + 8)**2*(m + 46)
Suppose -25*o + 2190 = 6566 - 2189 - 2187. Factor z - 1/4*z**4 + 7/4*z**2 + 1/2*z**3 + o.
-z*(z - 4)*(z + 1)**2/4
Let c(s) be the first derivative of 1/15*s**4 + 20/3*s**3 + 0*s**2 + 0*s + 1/900*s**6 + 1/75*s**5 + 1. Let q(v) be the third derivative of c(v). Factor q(m).
2*(m + 2)**2/5
Let n(w) = -6*w**4 - 2*w**3 + 6*w**2 + 2*w. Let u(t) = t - 10 - 95*t**3 - t**4 + t**2 + 10 + 94*t**3. Let d(v) = n(v) - 10*u(v). Factor d(o).
4*o*(o - 1)*(o + 1)*(o + 2)
Let a = -211/6700 + 7/201. Let v(o) be the third derivative of 0*o + 0 + a*o**5 - 1/120*o**4 + 1/600*o**6 - 1/30*o**3 - 6*o**2. Factor v(c).
(c - 1)*(c + 1)**2/5
Let h be 2*(2/(-4) + 2). Let d = -1431 - -1433. Factor d*m**3 - 23*m**h - 3*m**4 - 48*m**2 - 16*m - 20*m.
-3*m*(m + 2)**2*(m + 3)
Suppose -4*a - a = 3*d - 435, -4*a - 5*d + 348 = 0. Let m be ((-27)/(-30))/(7 - a/15). Let -9/4*h**2 + 1/4*h**4 + 0 + m*h**3 + 5/4*h = 0. Calculate h.
-5, 0, 1
Factor 19/4*m + 0 + 1/4*m**2.
m*(m + 19)/4
Let p = 144 + -140. Let f(m) = m**2 - 6*m + 11. Let k be f(p). Determine j, given that -34*j**2 - 13*j**3 + 5*j + 8*j**k + 34*j**2 = 0.
-1, 0, 1
Let i(r) be the third derivative of r**8/90720 - r**7/11340 + 29*r**5/60 + 104*r**2. Let o(t) be the third derivative of i(t). Factor o(x).
2*x*(x - 2)/9
Factor d**2 + 21*d**2 + 3*d**2 + 20*d**2 + 130*d + 60*d**2 - 135*d**3.
-5*d*(27*d**2 - 21*d - 26)
Let m(b) be the second derivative of 19*b**5/5 + 229*b**4/12 - b**3/3 - 15*b**2/2 - 2552*b. Find s, given that m(s) = 0.
-3, -5/19, 1/4
Let f(k) be the third derivative of 1/70*k**7 + 0*k**3 + 0*k**6 + 0*k**4 + 0*k - 1/20*k**5 + 0 - 132*k**2. Factor f(d).
3*d**2*(d - 1)*(d + 1)
Let y(d) be the first derivative of d**4 + 4396*d**3/3 + 602800*d**2 - 1210000*d + 2494. Factor y(c).
4*(c - 1)*(c + 550)**2
Let t(u) be the second derivative of u**7/140 - 9*u**6/80 + u**5/2 - 3*u**4/4 + 131*u**2/2 + 3*u - 9. Let p(w) be the first derivative of t(w). Factor p(j).
3*j*(j - 6)*(j - 2)*(j - 1)/2
Let o be ((-236)/295)/((-7)/210). Let x(c) be the second derivative of o*c + 8*c**2 + 0 - 2*c**3 + 1/6*c**4. Solve x(m) = 0.
2, 4
Let c be (-2 - 8/(-4))/(-6). Suppose 0 = -3*l - 9*u + 12*u - 6, 2*l - 5*u = -16. Let -3/2*i**5 + 3/2*i**4 + 0*i**l + c*i + 3*i**3 + 0 = 0. Calculate i.
-1, 0, 2
Let h(t) = -t**2 + 29*t + 149. Let u be h(-5). Let g be 24/4 - (-120)/u. Factor -4/7*p**2 - 2/7*p**4 + g*p**5 - 12/7*p**3 + 10/7*p + 6/7.
2*(p - 3)*(p - 1)*(p + 1)**3/7
Factor -1/3*v**2 - 362/3 + 61*v.
-(v - 181)*(v - 2)/3
Suppose -3*q - 4*p = -62, 2*q + 2*p - 65 = -25. Let s be q/12*12/9. Solve 2*h**2 + 8*h + 4*h**2 + 2*h**s + 80 - 78 = 0 for h.
-1/2
Let n(a) be the first derivative of -a**3 - 9/8*a**2 + 5/16*a**4 + 0*a + 146. Factor n(j).
j*(j - 3)*(5*j + 3)/4
Let v = -1645/13 + 129. Let x(f) be the first derivative of v*f - 8/13*f**2 + 2/39*f**3 + 14. Factor x(b).
2*(b - 4)**2/13
Let f(v) = -v**2 + 11*v + 14. Let g be f(12). Determine m so that 19*m**2 - g*m**2 - 16*m**2 + 9 + 10*m = 0.
-9, -1
Let v be (-8)/(-6) - (-1445)/255 - 7. Determine h, given that -1/6*h**3 + 1/6*h**5 + 7/3*h**2 - 7/3*h**4 + v*h + 0 = 0.
-1, 0, 1, 14
Let c(w) = 2*w**3 - 38*w**2 - 172*w - 240. Let b(z) = -3*z**3 + 75*z**2 + 342*z + 480. Let j(i) = 4*b(i) + 7*c(i). Factor j(x).
2*(x + 3)*(x + 4)*(x + 10)
Let x = 83943 - 83941. Let -79/2*c**x - 35/2*c**3 - 3/2*c**4 - 65/2*c - 9 = 0. What is c?
-9, -1, -2/3
Let s = -130547 - -391655/3. Let -s + 1/3*k**2 + 5/3*k = 0. What is k?
-7, 2
Let t(f) be the second derivative of -f**7/42 + f**6/10 - f**5/10 + 18*f - 5. Solve t(s) = 0.
0, 1, 2
Let d(w) be the third derivative of -1/3*w**5 + 1/336*w**8 - 9*w**2 - w**3 + 0 - 19/24*w**4 + 3*w + 1/105*w**7 - 1/20*w**6. Suppose d(s) = 0. Calculate s.
-2, -1, 3
Let v(r) = 3*r**3 - 12*r**2 - 48*r + 69. Let s(m) = -3*m**3 + 19*m**2 + 46*m - 70. Let k(x) = 3*s(x) + 2*v(x). Let k(p) = 0. What is p?
-2, 1, 12
Let u = -493 - -670. Let b = u - 175. Factor 4/5*h**3 + 0 - 4/5*h**b + 0*h.
4*h**2*(h - 1)/5
What is w in 7*w + 0 + 11/2*w**4 - 1/2*w**5 + 39/2*w**3 + 41/2*w**2 = 0?
-1, 0, 14
Let x(g) = -3*g**2 - 311*g + 624. Let s(i) = 20*i**2 + 1865*i - 3745. Let n(w) = 4*s(w) + 26*x(w). Find c, given that n(c) = 0.
2, 311
Let d = 92 - 52. Let m = d + -38. Suppose -90 - 5*y**3 + 33*y**2 + 13*y + 0*y - 13*y**2 + m*y = 0. Calculate y.
-2, 3
Factor -3*p**4 - 679 + 2117 + 1398*p**3 - 31 + 4212*p**2 + 4218*p.
-3*(p - 469)*(p + 1)**3
Let k(i) = -9*i + 228. Let n be k(25). Factor 276*w - 276*w - 25*w**2 - 25*w**2 - 5*w**n.
-5*w**2*(w + 10)
Factor -2/17*f**3 - 206/17*f**2 - 306 - 318*f.
-2*(f + 1)*(f + 51)**2/17
Let b(m) = m + 12. Let u be (-9 - -5) + -4 + 2. Let n be b(u). Factor 42*s**2 + 486*s**3 - 490*s**3 - n*s**2.
-4*s**2*(s - 9)
Let l(f) = -107*f**3 + 125*f**2 + 8*f - 52. Let t(g) = -54*g**3 + 62*g**2 + 4*g - 24. Let s(z) = -6*l(z) + 13*t(z). Suppose s(i) = 0. Calculate i.
-1/15, 0, 1
Let y(x) be the first derivative of -x**6/1980 + x**5/33 + 7*x**4/44 - 3*x**3 - 2*x**2 - 85. Let q(f) be the third derivative of y(f). What is t in q(t) = 0?
-1, 21
Let b be (-27)/((-37422)/87416) + 8/(-9). Factor -b*k + 192/11 + 42/11*k**2.
6*(k - 16)*(7*k - 2)/11
Suppose 0 = 64*y + 41*y - 2501 - 544. Let p be -1*(8 - 2)*-14. What is n in -y*n**2 - p*n**2 + 100*n - 5*n**4 - 40 + 35*n**3 + 23*n**2 = 0?
1, 2
Let t(m) be the second derivative of 3*m**7/7 + 53*m**6/5 + 1003*m**5/10 + 2753*m**4/6 + 3344*m**3/3 + 1444*m**2 - 401*m. Solve t(r) = 0 for r.
-19/3, -2, -1
Let u(l) = -l**2 + 3*l + 4. Let g be u(0). Suppose -g*y + 14 = 6. Suppose -z + 5*z**2 - 3*z**3 + z**y + 10*z = 0. Calculate z.
-1, 0, 3
Let n(f) be the second derivative of f**4/30 + f**3/15 - 6*f**2/5 - 2*f + 351. Let n(p) = 0. Calculate p.
-3, 2
Let c be (-12)/11 - (-204)/187. Factor 0*r + 1/7*r**4 + 100/7*r**2 + c - 20/7*r**3.
r**2*(r - 10)**2/7
Factor 29*w**2 - 518*w + 17*w**2 - 56*w**2 - 292*w + 15*w**2 - 2475.
5*(w - 165)*(w + 3)
Let j be 1701/(-1890)*2/((-126)/15). Let w(f) be the first derivative of 0*f - 1/7*f**3 + 0*f**2 + 14 - 3/35*f**5 + j*f**4. Factor w(k).
-3*k**2*(k - 1)**2/7
Let t be 2*9/(-6) - (-6)/((-24)/(-262)). Let l(x) be the second derivative of 8*x + 1/4*x**5 + t*x**3 + 0 - 25/4*x**4 - 625/2*x**2. Factor l(p).
5*(p - 5)**3
Solve -507/2 - 117/4*q - 3