**2/7 - 5*d + 4. Find r such that n(r) = 0.
-156, 2
Suppose -17*s + 9*s = -208. Suppose 5*w - s = -8*w. Find z, given that 1/7*z + 0 + 1/7*z**w = 0.
-1, 0
Let y(u) be the first derivative of u**3/5 + 201*u**2/10 + 1098*u/5 + 2956. Determine z so that y(z) = 0.
-61, -6
Let i = 1698 - 1662. Suppose 17*x = 29*x - i. Solve 56/3*r - 16/3 + 1/3*r**5 - 11/3*r**4 + 43/3*r**x - 73/3*r**2 = 0 for r.
1, 4
Let c(z) be the second derivative of -11/120*z**6 + 1/16*z**4 + 3/80*z**5 + 0*z**2 - 1/24*z**3 + z + 1/28*z**7 + 20. Suppose c(g) = 0. Calculate g.
-1/2, 0, 1/3, 1
Suppose -12*h + 16*h = 456. Factor 132*x + h*x + 116*x - 12 - 346*x - 4*x**2.
-4*(x - 3)*(x - 1)
Let p(y) be the second derivative of -99/40*y**5 + 0*y**2 - 2 + 2*y**6 + 5/4*y**4 - 4/7*y**7 + 39*y - 1/4*y**3. Factor p(o).
-3*o*(o - 1)**2*(4*o - 1)**2/2
Let t(d) be the third derivative of d**5/40 + 13*d**4/8 - 168*d**3 - d**2 + 331. Let t(j) = 0. What is j?
-42, 16
Suppose -786 + 254 = -19*x. Factor -25*y + 47*y - x*y**2 + 50*y + 56*y - 64.
-4*(y - 4)*(7*y - 4)
Factor 52/3*v + 1/3*v**2 + 352/3.
(v + 8)*(v + 44)/3
Let c(l) be the second derivative of 1/6*l**3 + 0 + 0*l**2 - 117*l + 0*l**4 - 1/20*l**5. Factor c(d).
-d*(d - 1)*(d + 1)
Let f(d) = -18*d**2 + d + 1. Let n(h) = -428*h**2 - 396*h - 832. Let s(t) = -24*f(t) + n(t). Factor s(r).
4*(r - 107)*(r + 2)
Suppose -4*s = -451 + 659. Let q(p) = -8*p**2 - 118*p + 166. Let z(v) = v**2 + 13*v - 18. Let o(h) = s*z(h) - 6*q(h). Factor o(j).
-4*(j - 5)*(j - 3)
Let q = -45286/57 + 1132264/1425. Factor -12/25*a + 0 - q*a**3 + 2/5*a**2.
-2*a*(a - 3)*(a - 2)/25
Suppose 9*k - 2*k = 35. Suppose -k*t = -0*w + 5*w - 155, 4*w = 5*t + 133. Factor w*g - 4*g**2 - 28 + 16*g**2 - 16*g**2.
-4*(g - 7)*(g - 1)
Let u = 520 - 518. Determine z, given that -852 + 1434 - u*z**3 - 870 - 2*z**2 + 0*z**2 + 112*z = 0.
-9, 4
Find f, given that -58*f**3 + 224*f**2 + 2933 - 10649*f - 2269 - 2116*f + 23978 + 57*f**3 = 0.
2, 111
Let b be -1*14/(-3)*9/6. Suppose 12*i = b + 53. Factor -3*x**3 - i + 4 - x**2 + 10*x**2 - 11.
-3*(x - 2)**2*(x + 1)
Let f(y) = -y**3 + 17*y**2 + 19*y - 16. Let j be f(18). Determine s so that 90*s**2 - 133*s**j - 18*s + 37*s**2 + 10*s**3 - 2*s**4 = 0.
-1, 0, 3
Let q(o) be the second derivative of -2*o**5/25 + 19*o**4/2 - 1656*o**3/5 - 3888*o**2/5 - 1079*o. Solve q(r) = 0 for r.
-3/4, 36
Suppose -6*p + 87 = -5*w + 33, -p + 3*w = -22. Determine y, given that 0 + 0*y + 104/5*y**3 + 32/5*y**2 + 2*y**5 + 64/5*y**p = 0.
-4, -2, -2/5, 0
Let z be 2/(-2)*(4/(-3) - 86/129). Let k(y) be the second derivative of -5/24*y**4 + 0*y**2 + z*y + 1/16*y**5 - 5/8*y**3 - 4. Solve k(j) = 0.
-1, 0, 3
Let y(t) be the third derivative of t**6/40 - 5*t**5/4 + 203*t**4/8 - 539*t**3/2 + 208*t**2. Factor y(i).
3*(i - 11)*(i - 7)**2
Factor 3/7*o**3 - 1515/7*o - 129/7*o**2 - 3975/7.
3*(o - 53)*(o + 5)**2/7
Let x be 484/176 - (-5)/4. Let i(p) be the third derivative of 0 - 14*p**2 + 1/20*p**5 + 2*p**3 + 0*p - 1/2*p**x. Find m, given that i(m) = 0.
2
Factor 75*y**2 + 7 + 169*y**2 - 9 + 16 - 2 - 256*y.
4*(y - 1)*(61*y - 3)
Let f = -514651 - -514651. Factor -4/7*z**3 + f + 0*z - 36/7*z**2.
-4*z**2*(z + 9)/7
Let k = 529 - 527. Let h(o) = o**3 - 8*o**2 + 7*o + 5. Let r be h(7). Factor r*f**3 - 6*f**k - 2*f**3 - 114*f**4 + 117*f**4.
3*f**2*(f - 1)*(f + 2)
Let x(b) = -2*b**5 - b**3 - 6. Let q(w) = 33*w**5 + 18*w**4 - 18*w**3 + 24*w**2 + 108. Let z(p) = q(p) + 18*x(p). What is i in z(i) = 0?
0, 2
Let n(d) be the first derivative of 0*d + 51*d**2 + 108 + 52*d**3 + 9/8*d**4. Factor n(j).
3*j*(j + 34)*(3*j + 2)/2
Let k(l) be the third derivative of -l**6/40 - 11*l**5/10 - 75*l**4/8 - 27*l**3 - 876*l**2. Suppose k(m) = 0. Calculate m.
-18, -3, -1
Factor 11/3 - 10/3*n**3 + 10/3*n + 1/3*n**4 - 4*n**2.
(n - 11)*(n - 1)*(n + 1)**2/3
Determine y so that -1/2 - 3*y**3 - 7/6*y**4 - 11/3*y**2 - 13/6*y - 1/6*y**5 = 0.
-3, -1
Let -320/17 + 2/17*k**2 - 156/17*k = 0. Calculate k.
-2, 80
Let a(y) = -5*y**3 - 2*y - 3. Let z(j) = -31*j**3 - 201*j**2 - 10212*j - 10018. Let k(s) = -6*a(s) + z(s). Factor k(b).
-(b + 1)*(b + 100)**2
Suppose 14*s - 148 = 48. Let t(b) = -6*b**3 - 16*b**2 - 33*b + 27. Let y(i) = i**3 + 2*i + 1. Let n(p) = s*y(p) + 2*t(p). Factor n(l).
2*(l - 17)*(l - 1)*(l + 2)
Let w(k) = -17*k**4 - 1261*k**3 + k**2 + 1245*k. Let m(r) = -6*r**4 - 420*r**3 + 414*r. Let p(n) = 8*m(n) - 3*w(n). Determine f, given that p(f) = 0.
-141, -1, 0, 1
Suppose 0 = 69*w + 28 - 219 - 16. Find n such that -1 - 1/5*n + 1/5*n**w + n**2 = 0.
-5, -1, 1
Solve 6*r**5 + 6*r**2 + 15858*r - 17*r**4 - 15858*r - 5*r**3 = 0 for r.
-2/3, 0, 1/2, 3
Let a = 0 + 4. Let g be 24/14 - 12/(-42). Find p, given that 4*p**4 - p**a + 12*p**g - 21*p**3 + 9*p**3 = 0.
0, 2
Let s(z) be the first derivative of -35 - 96/5*z - 8/5*z**2 - 2/45*z**3. Suppose s(j) = 0. Calculate j.
-12
Let y(s) be the first derivative of 2*s**3/9 - 125*s**2/3 + 747. Determine i so that y(i) = 0.
0, 125
Factor 1/6*c**2 + 35*c - 211/6.
(c - 1)*(c + 211)/6
Let 18755 - 2*h**3 - 3*h**3 + 31*h**2 + 325*h**2 - 4015*h - 91*h**2 = 0. Calculate h.
11, 31
Let z be 2/4*-1 - 19/(-38). Suppose 16*j - j + 2*j = z. Let 2/15 + j*y - 4/5*y**2 + 16/15*y**3 - 2/5*y**4 = 0. Calculate y.
-1/3, 1
Let q(a) be the third derivative of a**8/13440 - 3*a**7/280 + 27*a**6/40 - 17*a**5/12 - 22*a**2. Let l(i) be the third derivative of q(i). Factor l(p).
3*(p - 18)**2/2
Let b(c) be the third derivative of c**5/40 - 423*c**4/16 + 421*c**3/2 - c**2 - 29*c + 17. Determine h, given that b(h) = 0.
2, 421
Let r be -1 + ((-833)/(-221) - (-6)/26). Let p(n) be the second derivative of -n**2 - 7*n + 1/12*n**4 + 0 + 1/6*n**r. Solve p(l) = 0.
-2, 1
Let p(y) be the second derivative of y**4/12 + 2825*y**3/3 + 7980625*y**2/2 + 2100*y. Find q such that p(q) = 0.
-2825
Let q be 1 + (8/2)/(18 + -1 - 11). Let k(v) be the third derivative of 1/8*v**6 - 1/12*v**5 + 0*v - 10/3*v**3 + 0 - q*v**4 + 11*v**2. Factor k(y).
5*(y - 2)*(y + 1)*(3*y + 2)
Let h(n) = -35*n**3 + 391*n**2 - 2274*n + 3384. Let b(p) = -59*p**3 + 781*p**2 - 4548*p + 6768. Let z(t) = -6*b(t) + 10*h(t). Factor z(o).
4*(o - 188)*(o - 3)**2
Suppose 2028096/5*k + 2/5*k**3 - 806*k**2 + 2032128/5 = 0. What is k?
-1, 1008
Let g(i) = i + 5. Let h be g(-1). Suppose 0 = -q - h*u + u + 17, 4*q + 2 = 2*u. Determine o so that -o**3 + 4*o - 2*o - 2 - o + 2*o**q = 0.
-1, 1, 2
Let m(k) be the second derivative of 7/9*k**6 - 23/20*k**5 + 0 + 0*k**2 - 25/126*k**7 - 55*k + 7/9*k**4 - 2/9*k**3. Determine r so that m(r) = 0.
0, 2/5, 1
Let u(v) be the first derivative of v**4/28 + 2*v**3 + 76*v**2/7 + 637. Find l, given that u(l) = 0.
-38, -4, 0
Let v(o) be the third derivative of o**7/1575 + o**6/60 + 47*o**5/450 + 11*o**4/60 - 12*o**2 - 230. Suppose v(l) = 0. What is l?
-11, -3, -1, 0
Let s(k) be the first derivative of -3*k**4/8 + 5*k**3/2 + 111*k**2 + 672*k - 3537. Suppose s(h) = 0. Calculate h.
-7, -4, 16
Factor 10*y**3 - 33*y**2 - y**4 - 351*y + 700*y - 313*y.
-y*(y - 4)*(y - 3)**2
Suppose -6*u - 400/11 - 2/11*u**2 = 0. What is u?
-25, -8
Let k(g) be the third derivative of -g**7/42 + g**6/6 + 7*g**5/4 - 1203*g**2. Factor k(h).
-5*h**2*(h - 7)*(h + 3)
Let j(o) be the first derivative of -3*o**5/20 - 23*o**4/16 - 11*o**3/3 - 5*o**2/2 + 1847. Factor j(g).
-g*(g + 2)*(g + 5)*(3*g + 2)/4
Let s be (31 - 0) + -7 + 4. Let i = 32 - s. Factor 10*b**i + 2*b**4 + 0*b**4 - 4*b**5 - 13*b**2 - 3*b**2.
-4*b**2*(b - 2)**2*(b + 1)
Let r(b) = 88*b - 1144. Let n be r(13). Let o(x) be the third derivative of 0*x**3 + 0 - 1/30*x**6 + 1/5*x**5 + n*x - 1/3*x**4 - 21*x**2. Factor o(h).
-4*h*(h - 2)*(h - 1)
Let q(y) be the first derivative of y**7/231 + y**6/33 + 3*y**5/55 - 2*y**4/33 - 8*y**3/33 + 35*y + 100. Let p(w) be the first derivative of q(w). Factor p(r).
2*r*(r - 1)*(r + 2)**3/11
Suppose -4*d + 2*n - 35 = -141, 5*n - 5 = 0. Let r be (32/(-18))/(((-18)/d)/1). Factor 4/9*c**2 + r*c + 4.
4*(c + 3)**2/9
Factor -68 + 2/3*y**2 - 62/3*y.
2*(y - 34)*(y + 3)/3
Suppose -11*p + 12 = -9*p. Determine l so that -5 + 43 + p + 7*l**2 + 62*l + 8*l**2 - 2*l**3 + l**2 = 0.
-2, -1, 11
Let l be (1/1)/(6/12). Factor 4*v**2 + 20 + 10*v - 16*v + v**l - 19*v.
5*(v - 4)*(v - 1)
Let u(z) be the first derivative of -4*z**3/3 - 1078*z**2 - 2152*z + 9445. Suppose u(r) = 0. Calculate r.
-538, -1
Find g, given th