 -221*c**2 + 2042*c - 1042441. Let r(g) = 265*g**2 - 2042*g + 1042441. Let a(b) = -5*r(b) - 6*z(b). Find i such that a(i) = 0.
1021
Find d, given that -5/4*d**3 - 5*d**2 + 0 + 5*d + 5/4*d**4 = 0.
-2, 0, 1, 2
Let z(g) be the second derivative of -3/10*g**5 - 8*g + 0*g**3 - 3/4*g**4 - 5 + 1/10*g**6 + 0*g**2. Let z(k) = 0. Calculate k.
-1, 0, 3
Let t(n) = -35*n**2 + 35190*n - 62128035. Let y(q) = -q**2 - 2*q + 3. Let c(o) = t(o) - 30*y(o). Factor c(d).
-5*(d - 3525)**2
Suppose 13 = -7*y + 27. Solve -12 - 12*i + 5*i**y + 14*i**2 - 22*i**2 = 0 for i.
-2
Suppose 0 = -4*s + 10 + 2. What is x in -x - x + 5*x**2 - x**s - 3*x**2 + 0*x + x**2 = 0?
0, 1, 2
Factor -33*x**2 - 96*x**3 + 11*x**4 - 12*x**4 + 4*x**4 + 133*x**2 + 80*x**2.
3*x**2*(x - 30)*(x - 2)
Let v = 28 - 21. Suppose v*o = 2*o + 15. Factor -4*f**4 + 8*f**2 - 21*f + 13*f + 8*f + 4*f**o.
-4*f**2*(f - 2)*(f + 1)
Let -1754*s - 9*s**4 + 10*s**4 - 8*s**3 + 1714*s + 52*s**2 - 5*s**4 = 0. Calculate s.
-5, 0, 1, 2
Let p(i) be the second derivative of -2*i**7/105 - i**6/15 + i**4/3 + 2*i**3/3 + 35*i**2 + 45*i. Let r(l) be the first derivative of p(l). Factor r(s).
-4*(s - 1)*(s + 1)**3
Let t be (29541/(-20610))/((-9)/2580). Factor 2/9*x**2 + 172/9*x + t.
2*(x + 43)**2/9
Suppose -6/7*z**4 - 34/7*z + 34/7*z**3 - 2*z**2 + 20/7 = 0. Calculate z.
-1, 2/3, 1, 5
Let y(j) be the first derivative of j**4/2 + 48*j**3 - 73*j**2 - 825. Factor y(v).
2*v*(v - 1)*(v + 73)
Let o be ((-174)/252 - 12/(-36))*(0 - 24). Suppose 450/7 + 2/7*y**2 + o*y = 0. Calculate y.
-15
Factor 471*g**2 - 1128 + 1119 - g**3 - 462*g**2 + g.
-(g - 9)*(g - 1)*(g + 1)
Let n(u) = -5*u**3 + 1069*u**2 - 1055*u - 9. Let a(c) = 5*c**3 - 1072*c**2 + 1055*c + 12. Let p(x) = 3*a(x) + 4*n(x). Factor p(m).
-5*m*(m - 211)*(m - 1)
Suppose -108*k**2 + 25*k**3 + 58*k**4 + 588 + 13*k**3 - 118*k**2 + 322*k + 55*k**4 - 115*k**4 = 0. What is k?
-1, 6, 7
Let n(d) be the second derivative of -d**6/50 - 69*d**5/100 + 15*d**4/4 - 77*d**3/10 + 39*d**2/5 - 13*d - 65. Suppose n(u) = 0. Calculate u.
-26, 1
Let m(n) be the first derivative of 2/3*n**3 - 97 - 1/6*n**6 - 1/5*n**5 - n - 1/2*n**2 + 1/2*n**4. Determine h so that m(h) = 0.
-1, 1
Let z(y) = 27*y - 2. Let x be z(-2). Let h be x/70*(25/(-2))/5. Factor 59 - 5*b**3 - b**5 - 2*b**h - 59 - 4*b**4.
-b**2*(b + 1)**2*(b + 2)
Suppose 10/17*z**4 + 752/17*z**2 + 672/17 - 1184/17*z - 192/17*z**3 + 2/17*z**5 = 0. What is z?
-14, 2, 3
Let m(l) be the third derivative of 35*l**8/144 - l**7/6 - 55*l**6/18 + 20*l**5/9 + 20*l**4/3 + 40*l**3/9 + 200*l**2. Suppose m(g) = 0. What is g?
-2, -2/7, 1, 2
Determine m so that 42 - 11/5*m**3 - 1/5*m**4 - 17/5*m**2 + 107/5*m = 0.
-7, -5, -2, 3
Determine p so that -320*p + 5*p - 4*p**2 + 1624 - 1305*p = 0.
-406, 1
Let g(i) be the third derivative of i**6/780 + 149*i**5/390 + 21*i**2 - 3. Factor g(t).
2*t**2*(t + 149)/13
Suppose -3017*v - 683*v**2 + 9365*v + 4*v**3 - 3172 - 3610*v**2 + 1113*v**2 = 0. Calculate v.
1, 793
Suppose j = 2*j + 64*j - 195. Let x(o) be the first derivative of o**3 + 3/8*o**4 - j*o - 3/4*o**2 + 13. Find y such that x(y) = 0.
-2, -1, 1
Let f(j) be the second derivative of -243/4*j**4 + 1/14*j**7 + 125*j + 81/4*j**5 + 0*j**2 + 0*j**3 - 21/10*j**6 + 0. Factor f(i).
3*i**2*(i - 9)**2*(i - 3)
Let i(x) be the third derivative of x**5/15 - x**4 - 90*x**3 - 423*x**2. Factor i(c).
4*(c - 15)*(c + 9)
Suppose 5*a - 64 = -3*a. Let u = 11 - a. Suppose -5*x**2 + 5*x**2 + 5*x**2 - 2*x**u - 6*x**2 = 0. Calculate x.
-1/2, 0
Let t = -63996 - -447974/7. Suppose -5*u - 2 = -v - 27, 0 = -4*u - v + 11. Factor -9/7*c**2 - 1/7*c**u - t + c + 5/7*c**3.
-(c - 2)*(c - 1)**3/7
Suppose 4/11*y**4 + 8/11*y**2 - 2*y**3 + 0 + 10/11*y = 0. Calculate y.
-1/2, 0, 1, 5
Factor 3/4*h**2 - 135/2 - 39/4*h.
3*(h - 18)*(h + 5)/4
Let o(z) be the first derivative of 2*z**6/9 + 4*z**5/3 - 98*z**4/3 + 472*z**3/9 + 1090*z**2/3 + 1300*z/3 - 368. Suppose o(t) = 0. Calculate t.
-13, -1, 5
Let w(p) be the second derivative of -p**4/24 + 2945*p**3/6 - 8673025*p**2/4 + 5*p + 1301. Let w(l) = 0. Calculate l.
2945
Let m(v) = -66*v**2 + 814*v - 26924. Let s(h) = 20*h**2 - 271*h + 8975. Let w(n) = -6*m(n) - 20*s(n). Factor w(f).
-4*(f - 67)**2
Suppose -3*s - 2 = -4*g - s, -18 = -g - 3*s. Factor -8*p**g - 90*p**2 - 16*p**3 - 11*p**3 - 40 - 279*p**4 - 100*p + 274*p**4.
-5*(p + 1)*(p + 2)**3
Let f(v) = 5*v**4 + 80*v**3 + 95*v**2 - 30*v + 30. Let a(w) = w**3 - w**2 - w + 1. Let b(n) = 30*a(n) - f(n). Solve b(k) = 0 for k.
-5, 0
Let m be (180/27)/(-20) - 10/(-3). Let g(n) be the third derivative of -14*n**2 + 0*n + 1/330*n**5 + 0 + 1/66*n**4 - 1/660*n**6 + 0*n**m. What is u in g(u) = 0?
-1, 0, 2
Factor -25/8*t**2 + 3/4*t**3 + 9/4*t + 0 + 1/8*t**4.
t*(t - 2)*(t - 1)*(t + 9)/8
Let p be (13 + 9 - 39) + (-296)/(-16). Suppose -p - 7/4*o**3 + 1/4*o**4 + 5/4*o**2 + 7/4*o = 0. What is o?
-1, 1, 6
Let b(l) = l**4 - 72*l**3 + 72*l**2 + 64*l - 70. Let h(o) = -2*o**4 + 2*o**3 + 6*o - 1. Let f(s) = 2*b(s) + 2*h(s). What is g in f(g) = 0?
-71, -1, 1
Let h(v) be the second derivative of v**4/60 - 19*v**3/3 + 189*v**2/10 - 2*v - 1868. Solve h(d) = 0 for d.
1, 189
Let u be (-7)/(35/10) + 1 + 60. Let l = 64 - u. Factor -6*h**2 - l*h**3 + 554 + 26*h**2 - 25*h - 544.
-5*(h - 2)*(h - 1)**2
Let h(x) be the third derivative of x**6/300 + 28*x**5/75 - 79*x**4/20 + 12*x**3 - 4*x**2 + 556*x. Let h(d) = 0. What is d?
-60, 1, 3
Suppose -4*o + 3*u + 10 = 0, u = o - 1 - 2. Suppose -31 = -2*a - o. Factor -a*s + s**2 - 3*s**2 + 33 - 9*s - 105.
-2*(s + 6)**2
Let g(u) be the second derivative of 5*u**5/14 + 895*u**4/6 - 2509*u**3/21 + 251*u**2/7 + 16*u + 34. Solve g(q) = 0.
-251, 1/5
Let g(u) = 4*u**3 - 618*u**2 - 179*u + 443. Let c(s) = -309*s**2 - 90*s + 219. Let f(q) = -5*c(q) + 3*g(q). Solve f(n) = 0.
-1, 3/4, 26
Let g = 1579799/11 - 143617. Suppose 18/11*s + 28/11*s**3 + 2/11*s**5 - g*s**4 - 4/11 - 32/11*s**2 = 0. What is s?
1, 2
Let v = -3521 + 3537. Let l(p) be the first derivative of -2/65*p**5 + 4/13*p - 5/13*p**2 + 2/13*p**3 + 1/26*p**4 + v. Factor l(f).
-2*(f - 1)**3*(f + 2)/13
Let s be (2/(-9) - (-6365)/(-1368)) + 3. Let u = 17/8 + s. Let 0 + 0*j + 0*j**3 - u*j**4 + 1/4*j**2 = 0. What is j?
-1, 0, 1
Let p(d) = 4*d**2 - d - 36. Let w be p(-11). Factor -8*b + 8*b**2 + 2*b**5 + 6*b**3 - 459 - 8*b**4 + w.
2*b*(b - 2)**2*(b - 1)*(b + 1)
Let h(v) be the first derivative of -v**6/45 - v**5/15 + v + 88. Let i(g) be the first derivative of h(g). What is p in i(p) = 0?
-2, 0
Let r(v) be the third derivative of 4*v**7/105 - 13*v**6/2 + 479*v**5/15 - 127*v**4/2 + 190*v**3/3 + 40*v**2 + 14*v. Find l such that r(l) = 0.
1/2, 1, 95
Find n, given that -225*n**4 + 819*n + 900*n**2 + 1486*n - 585*n - 410*n**3 - 5*n**5 = 0.
-43, -2, 0, 2
Let a be (16 + -16)/(16/8). Let b(c) be the third derivative of -1/30*c**5 + 0 - 4/3*c**3 + a*c - 3*c**2 - 1/3*c**4. Factor b(r).
-2*(r + 2)**2
Let t be ((-35)/336*-4)/((-835)/(-334)). Let -7/6*x + t*x**2 + 1 = 0. Calculate x.
1, 6
Let i be (-27)/(1 - 20/8). Suppose -2*g + 10 = -i. What is b in -4 - g - 11 - 16 + 5*b**2 = 0?
-3, 3
Let c(b) be the second derivative of 5*b**7/42 + 7*b**6/6 - 9*b**5/4 - 335*b**4/12 - 40*b**3/3 + 210*b**2 + 706*b. Find v, given that c(v) = 0.
-7, -2, 1, 3
Let f be 42982 + 6 - (2 + (-3 - 1)). Factor -f + 50*u**2 - 5*u**4 + 42990 + 45*u**3.
-5*u**2*(u - 10)*(u + 1)
Factor 470*w**3 + 17054 - w**4 - 17054 - 55225*w**2.
-w**2*(w - 235)**2
Let y be ((2/7)/(735/(-2058)))/(-2). Suppose -y*a**3 + 2*a**2 + 0 + 0*a = 0. What is a?
0, 5
Let p(y) be the first derivative of -y**3/3 + 220*y**2 - 48400*y + 2471. Factor p(a).
-(a - 220)**2
Let k(j) be the third derivative of 0*j + 0*j**3 + 1/75*j**7 + 13/150*j**5 - 1/15*j**4 - 1/840*j**8 - 1/20*j**6 - 2*j**2 + 1. Factor k(g).
-2*g*(g - 4)*(g - 1)**3/5
Let t(o) be the third derivative of -o**7/630 + o**6/15 - 11*o**5/30 - 13*o**4/8 - 2*o**2 + 27*o. Let g(i) be the second derivative of t(i). Factor g(k).
-4*(k - 11)*(k - 1)
Let a(w) be the first derivative of -2*w**5/65 + 11*w**4/13 + 94*w**3/39 + 24*w**2/13 - 3725. Factor a(h).
-2*h*(h - 24)*(h + 1)**2/13
Let h = -278 + 280. Determine p, given that 3*p - 5*p**2 - 2 + 2*p**h - 4 + 12 = 0.
-1, 2
Let n(i) = 8*i**2 - 236*i + 900. Let y be n(25). What is l in 0*l + 1/8*l**4 - 1/4*l**3 + 1/8*l**2 + y = 0?
0, 1
Let -13436 + 