8 + q*l + 29 + 4*l**2 + 25 + m*l**2.
4*(l + 2)**2
Let z(c) be the third derivative of -c**7/560 + c**6/320 + 272*c**2. Factor z(j).
-3*j**3*(j - 1)/8
Let u(w) be the first derivative of 2*w - 47 - 1/14*w**2 + 1/28*w**4 - 2/3*w**3. Factor u(c).
(c - 14)*(c - 1)*(c + 1)/7
Let j be ((-6)/2)/(13 + -22)*6. Factor -193*r**j + 380*r**2 - 189*r**2 - 58*r.
-2*r*(r + 29)
Let k(y) be the second derivative of y**4/6 - 7*y**3 + 54*y**2 - 4348*y. Suppose k(b) = 0. Calculate b.
3, 18
Let m = 37827/66136 - 5/9448. What is d in -2/7*d - 4/7*d**2 + m + 2/7*d**3 = 0?
-1, 1, 2
Let s(u) be the third derivative of -u**5/80 - 51*u**4/32 + 22*u**2 + 3*u - 8. Let s(o) = 0. Calculate o.
-51, 0
Suppose 1 + 11 = 2*k - 4*a, 5*k + 4*a - 2 = 0. Let -11*f + k*f**2 + 12 - 19 + 27 - 11*f = 0. What is f?
1, 10
Suppose 49*k - 45*k + 2*w = -284, -4*w - 8 = 0. Let o be k/(-60)*(-4)/(-28). Suppose 1/6*s**2 - 1/3*s + o = 0. Calculate s.
1
Suppose -5 = -3*m - 2, 2*x - 4*m = 24. Find z such that -36 + 11*z - z**4 - 4*z + 17*z**2 + x*z - z**3 = 0.
-3, 1, 4
Let f(y) be the first derivative of -112 + 1/15*y**3 + 0*y - 33/5*y**2. Let f(o) = 0. Calculate o.
0, 66
Let y(g) be the second derivative of 12/11*g**2 - 3/22*g**4 + 0*g**5 + 0 + 90*g + 4/33*g**3 + 1/165*g**6. What is l in y(l) = 0?
-3, -1, 2
Let j(g) be the third derivative of -g**6/60 - 13*g**5/30 - 5*g**4/6 + 8*g**3 + g**2 + 800. Factor j(n).
-2*(n - 1)*(n + 2)*(n + 12)
Let f(n) be the first derivative of 3*n**4/8 - 45*n**3/2 - 141*n**2/2 + 2921. What is l in f(l) = 0?
-2, 0, 47
Let a(g) be the first derivative of -22*g**3/15 + 91*g**2/5 + 204*g/5 - 1206. Suppose a(f) = 0. What is f?
-1, 102/11
Let l(h) be the first derivative of 78 - 20/21*h**3 - 1/14*h**4 - 24/7*h**2 + 0*h. Factor l(q).
-2*q*(q + 4)*(q + 6)/7
Factor -39/4*l**2 - 41/4*l - 1/2.
-(l + 1)*(39*l + 2)/4
Let t be 13/(-22 + 74) + (-1)/4. Let r(p) be the third derivative of 1/32*p**4 + 0*p + 0*p**3 + t - 1/240*p**5 - 23*p**2. Factor r(b).
-b*(b - 3)/4
Let p = -2/3415 - -911/389310. Let z(g) be the third derivative of -1/57*g**3 + 0*g - 1/1140*g**6 + 0 + p*g**5 + 1/228*g**4 - 37*g**2. Factor z(i).
-2*(i - 1)**2*(i + 1)/19
Let s(h) = h**2 - 6*h + 11. Let r be s(3). Suppose -4*y + r*y = y. Factor -1 + 0*v**2 - v**2 + 2 + y*v**2.
-(v - 1)*(v + 1)
Let q(n) = -n - 26 - n - 71*n**2 + 57*n**2 + n**3 + 5*n. Let z be q(14). Factor -4*g**4 + 16*g**3 + 128 - z*g**2 - 128.
-4*g**2*(g - 2)**2
Let d(k) = k + 4. Let a be d(6). Suppose -6*b = -a - 26. Factor -8*p**3 + 4*p**4 + 0*p**4 - 6 + b.
4*p**3*(p - 2)
Let s(r) be the first derivative of 2*r**3/3 - 59*r**2 - 120*r + 3060. Factor s(g).
2*(g - 60)*(g + 1)
Let t(q) be the third derivative of 5*q**8/112 + q**7/21 - 27*q**6/8 + 8*q**5 + 35*q**4/6 - 40*q**3 - 16*q**2 - 45. Let t(a) = 0. What is a?
-6, -2/3, 1, 4
Suppose -5*a = 3*c + 4, c - 2*c - 4 = -a. Let b be ((-290)/(-50))/((-12)/15 + a). Factor -5*n**3 - b*n**2 + n**3 - 43*n**2 - 324*n.
-4*n*(n + 9)**2
Suppose 22*d = 28*d - 30. Solve 36*r**5 - 6*r - 17*r**5 + 4*r**3 + 4*r**4 + 4*r**3 - 4*r**2 - 21*r**d = 0 for r.
-1, 0, 1, 3
Let u(m) = -3*m**2 + 105*m + 4388. Let n(x) = 3*x**2 - 108*x - 4435. Let y(h) = -4*n(h) - 5*u(h). Factor y(l).
3*(l - 56)*(l + 25)
Let p(k) be the second derivative of k**5/10 + 112*k**4 - 5*k - 717. Factor p(w).
2*w**2*(w + 672)
Let h(p) be the first derivative of p**4/30 - 34*p**3/45 - 28*p**2/5 + 9337. Let h(m) = 0. What is m?
-4, 0, 21
Let j(h) = h**3 - 58*h**2 - 2894*h + 1264. Let f be j(90). Factor 0 + 4/3*y - 4/3*y**3 - 2/3*y**2 + 2/3*y**f.
2*y*(y - 2)*(y - 1)*(y + 1)/3
Let a be (1 + -234)/(5*(-9)/45). Let d = 235 - a. Find z, given that 128/5 - 96/5*z - 2/5*z**3 + 24/5*z**d = 0.
4
Factor 2919999*c + 2318*c**3 - 5512500 + 2952*c**3 - 5*c**4 + 3740020*c - 1399145*c**2 - 1126519*c.
-5*(c - 525)**2*(c - 2)**2
Let r = -337 - -1021. Let u be (-2)/12 - (6510/r - 10). Factor 10/19*w**3 - u*w**2 + 0 - 2/19*w**5 - 2/19*w**4 + 0*w.
-2*w**2*(w - 1)**2*(w + 3)/19
Let z be ((-3)/9)/((10/12)/(-5)). Factor -15*y**3 + 18*y**3 - 49*y**2 - 45*y**z + 91*y**2 - 6*y.
3*y*(y - 2)*(y + 1)
Let w(j) be the second derivative of 19*j**5/220 + 29*j**4/33 + 118*j**3/33 + 80*j**2/11 + 23*j - 14. Find u such that w(u) = 0.
-40/19, -2
Let k(q) = -2*q**2 + 51*q + 143. Let d be k(23). Suppose -40*o - 3*o + d = 0. Suppose 2/3*i**5 + 28/3*i**3 + 4/3 + 32/3*i**2 + o*i + 4*i**4 = 0. What is i?
-2, -1
Let a(t) be the second derivative of 0 - 171*t + 12/7*t**2 - 1/140*t**5 - 2/3*t**3 + 5/42*t**4. Factor a(c).
-(c - 6)*(c - 2)**2/7
Let p be ((-5566)/(-165) - 34)*(-15)/12. Factor -c**2 + c**4 + p*c**5 + 0 - 2/3*c + 1/3*c**3.
c*(c - 1)*(c + 1)**2*(c + 2)/3
Determine n so that 608/5*n - 1146/5*n**2 + 0 + 94*n**3 + 2/5*n**5 + 66/5*n**4 = 0.
-19, -16, 0, 1
Let g(n) be the second derivative of n**6/210 + 31*n**5/70 + 269*n**4/21 + 1769*n**3/21 + 2523*n**2/14 - n + 1182. Suppose g(c) = 0. Calculate c.
-29, -3, -1
Let k(y) be the first derivative of -15*y**4/4 + 350*y**3/3 - 445*y**2/2 + 110*y + 347. Determine l so that k(l) = 0.
1/3, 1, 22
Let w(h) = 92*h**2 + 156*h - 656. Let v(r) = 12*r**2 + r - 2. Let o(k) = -8*v(k) + w(k). Find z, given that o(z) = 0.
5, 32
Let p be -15*(25/(-15) + 1). Let f = -5 + p. Suppose 5*q + 3*q**3 - 3*q**3 + 15*q**2 + f*q**4 + 15*q**3 = 0. Calculate q.
-1, 0
Find g such that 92/5*g**4 + 484/5*g**3 - 96/5*g**5 + 12/5*g + 0 + 308/5*g**2 = 0.
-1, -1/24, 0, 3
Suppose -44 = -3*s - 4*v, -117*v = -3*s - 115*v - 22. Factor s*r**2 + r**3 + 4/5*r**4 + 0 - 1/5*r**5 + 0*r.
-r**3*(r - 5)*(r + 1)/5
Let i(b) be the first derivative of -3*b**4/16 - 85*b**3/2 - 21675*b**2/8 - 727. Factor i(x).
-3*x*(x + 85)**2/4
Let 2880/7 - 3/7*m**2 - 132/7*m = 0. What is m?
-60, 16
Let r = -604 - -319. Let u be 2/(-10) - 87/r. Solve 2/19 + 8/19*c**3 + u*c**4 + 12/19*c**2 + 8/19*c = 0 for c.
-1
Let l(d) = -d**2 + 43*d + 221. Let a(j) = -4*j + 26. Let w be a(6). Let t(b) = 2*b**2 - 42*b - 222. Let g(h) = w*l(h) + 3*t(h). What is s in g(s) = 0?
-4, 14
Let q(t) = t**3 - 21*t**2 + 63*t - 472. Let j be q(19). Factor 7*d**2 + 3/2*d**j + 0 + 4*d.
d*(d + 4)*(3*d + 2)/2
Let f(k) = 30*k**3 + k**2. Let d(p) = -999*p**3 - 1053*p**2 - 256*p. Let z(l) = -2*d(l) + 6*f(l). Solve z(c) = 0.
-16/33, 0
Determine d, given that 8*d**3 + 104/7*d**2 + 0*d + 2/7*d**4 + 0 = 0.
-26, -2, 0
Let u = 49882 - 847986/17. Factor -2/17*m**4 + 8/17*m - u - 4/17*m**3 + 6/17*m**2.
-2*(m - 1)**2*(m + 2)**2/17
Let u(t) be the first derivative of 108 - 22/21*t**3 + 26/35*t**5 - 4/7*t - 11/7*t**2 + 1/2*t**4 + 4/21*t**6. What is r in u(r) = 0?
-2, -1, -1/4, 1
Factor -2/3*d**3 - 16/3 - 28/3*d - 14/3*d**2.
-2*(d + 1)*(d + 2)*(d + 4)/3
Factor 342*m**2 + 37/2*m + 1/4*m**4 - 37/2*m**3 - 1369/4.
(m - 37)**2*(m - 1)*(m + 1)/4
Suppose 309*r + 10 = 312*r + 2*n, 8 = -r + 5*n. Let v(y) be the first derivative of -42*y - y**3 + 29 - 45/2*y**r. Factor v(a).
-3*(a + 1)*(a + 14)
Let t(g) = -4*g**3 + 12*g**2 + 20*g + 8. Let o(b) be the first derivative of -5*b**4/4 + b**3/3 + b**2/2 - b + 179. Let l(x) = o(x) - t(x). Factor l(i).
-(i + 1)**2*(i + 9)
Let 32*c**2 - 5 - 23*c + 2*c**3 + 5 + 4*c - 15*c = 0. What is c?
-17, 0, 1
Let f(b) be the first derivative of -3/4*b**4 + 1/6*b**6 + 2/5*b**5 + 0*b - 5 + 2*b**2 - 4/3*b**3. Factor f(y).
y*(y - 1)**2*(y + 2)**2
Let j = 157/3 + -230/3. Let k = 374/15 + j. What is i in 1/5*i**3 + 2/5*i + 0 - k*i**2 = 0?
0, 1, 2
Let d be (-37)/(-5) - (-4)/(-10). Suppose -3*y - y = 2*q - 22, 26 = 5*y + 2*q. Factor -d - 3 - 15*b**2 + 5*b**y + 29*b + 5*b**3 - 54*b.
5*(b - 2)*(b + 1)**3
Let g(s) be the third derivative of 61*s**2 - 2/9*s**3 + 0 + 1/24*s**4 + 0*s + 1/180*s**5. Factor g(a).
(a - 1)*(a + 4)/3
Suppose -5*c + c + 12 = 0. Suppose 2*n + 10 = 3*t, 10 + c = 4*t - 3*n. What is l in -2*l**2 + 9*l**3 - t*l**5 - l**5 + 5*l**4 - 3*l**2 - 4*l**3 = 0?
-1, 0, 1
What is r in 0 - 1/7*r**2 - 131/7*r = 0?
-131, 0
Let f = 4496 - 4467. Let g(d) be the second derivative of -1/14*d**7 + 0*d**2 + 0*d**3 + 0*d**4 + f*d + 0*d**5 + 0 - 1/10*d**6. Factor g(o).
-3*o**4*(o + 1)
Let n(z) be the first derivative of z**4/10 - 2314*z**3/5 + 4015947*z**2/5 - 3097633786*z/5 - 7462. Determine r so that n(r) = 0.
1157
Let c(a) be the first derivative of a**6/10 - 3*a**4/4 + a**3 - 5*a + 64. Let q(p) be the first derivative of c(p). Find x such that q(x) = 0.
-