2 = 0.
-1, 0
Let m(y) be the third derivative of -y**7/840 + y**6/160 + y**5/24 - y**4/4 + 9*y**2 - y. Suppose m(d) = 0. Calculate d.
-3, 0, 2, 4
Let m(x) be the first derivative of -x**6/3420 + 3*x**5/380 - x**3 - 3*x**2/2 - 53. Let u(l) be the third derivative of m(l). Factor u(v).
-2*v*(v - 9)/19
Let j be (0 - 1)*(0 - -3). Let q be 119/140 + j/(-36)*-3. Find r such that 0*r**4 + q*r**5 + 3/5*r - 6/5*r**3 + 0*r**2 + 0 = 0.
-1, 0, 1
Let s(v) be the first derivative of 1/18*v**4 - 122 + 26/3*v**3 + 507*v**2 + 13182*v. Factor s(z).
2*(z + 39)**3/9
Solve 5/3*b**2 + 0 + 1180/3*b = 0.
-236, 0
Let b(m) = -3*m**2 + 316*m + 25. Let i(q) = q**2 - 5. Let g(n) = -b(n) - 5*i(n). Factor g(p).
-2*p*(p + 158)
Let a = 157 + -1097/7. Let m be ((-100)/275)/((-42)/33). Let 4/7*d**4 - 4/7*d**3 + 4/7 + m*d + a*d**5 - 8/7*d**2 = 0. What is d?
-2, -1, 1
Let g(j) = j**2 - 8*j - 37. Let x be g(-5). Let p be 4/(-14) + 24/x. Factor -p*h + 0 + 2/7*h**2.
2*h*(h - 2)/7
Let z(s) be the second derivative of -1/70*s**5 + 1/21*s**3 + 3/7*s**2 - 1/14*s**4 + 23*s + 0. Find g, given that z(g) = 0.
-3, -1, 1
Let a(r) = r**3 + 12*r**2 + 15*r + 11. Let n be a(-10). Factor 66*b - n*b - b**2 - 7 + 3.
-(b - 4)*(b - 1)
Let a(j) be the second derivative of j**7/630 - j**5/30 + 2*j**4/3 - j**2 + 123*j. Let n(d) be the third derivative of a(d). Solve n(w) = 0 for w.
-1, 1
Suppose 2*t + 3*t - 12 = -3*r, -3*t - 4*r + 5 = 0. Suppose -2*i + 11 - 85 = -t*a, -i - 79 = -3*a. Factor 5*p - 30*p**2 - p + a*p**2 - 2.
-2*(p - 1)**2
Let b(j) = 2*j**2 - 608*j - 775. Let u(y) = -9*y**2 + 2397*y + 3099. Let w(g) = -21*b(g) - 5*u(g). Factor w(h).
3*(h + 1)*(h + 260)
Suppose 13*s - 17*s = -36. Let i be 4/8 + 1*s/6. Factor 26*x**2 + 6*x**4 + 4*x**5 - 3*x**5 + 2*x**5 - 32*x**i - 3*x.
3*x*(x - 1)*(x + 1)**3
Let s = -201981/4 - -50497. Determine a, given that -1/2 + 9/4*a**2 - s*a = 0.
-2/9, 1
What is o in -28*o**2 + 12*o**4 - 123096*o + 123096*o + 18*o**3 - 2*o**5 = 0?
-2, 0, 1, 7
Let w be (-15)/3*112/(-70). Let f(j) be the first derivative of j**4 + 0*j + w*j**2 - 16/3*j**3 - 4. Suppose f(r) = 0. What is r?
0, 2
Let h(o) be the third derivative of 4/3*o**4 - 2*o**2 - 1/105*o**7 + 0*o**3 + 0*o - 4/15*o**5 - 7 - 7/60*o**6. Factor h(f).
-2*f*(f - 1)*(f + 4)**2
Let a = -25455 - -2163704/85. Let h = 1/17 + a. Factor 4/5 + 18/5*x**2 - 14/5*x - 2*x**3 + h*x**4.
2*(x - 2)*(x - 1)**3/5
Factor -8225*u**3 + 35040*u**2 - 6158*u**3 + 537*u**5 + 1669*u**3 - 18744*u**4 + 1658*u**3 - 4893*u**5 - 25088 + 21504*u.
-4*(u + 2)**3*(33*u - 28)**2
Let i be (10 - (-318)/(-30))/((-6)/4). Let c(j) be the first derivative of 1/20*j**4 - i*j - 5 - 3/10*j**2 + 0*j**3. Solve c(y) = 0 for y.
-1, 2
Let y(a) = a**2 - 35*a + 2. Let n be y(35). Let 24 - 12*x + 4*x**2 - 9*x**4 + 11*x**3 - 16*x**2 - 19*x**n + 28*x**3 - 11*x**2 = 0. What is x?
-2/3, 1, 2
Suppose 2*z - 7*z = -4*j - 23, 0 = 2*z + 5*j + 4. What is l in 20*l**z + 2*l**2 + 560*l + 159*l**2 + 192 + 47*l**2 = 0?
-6, -4, -2/5
Suppose 4*t = -2*t. Let o = -18411/65 + 1417/5. Determine r, given that 0*r - 4/13*r**2 + o*r**4 + t*r**3 + 2/13 = 0.
-1, 1
Solve -253636137/2 - 1202067/2*j - 1/2*j**3 - 1899/2*j**2 = 0.
-633
Suppose 6*x - 8*x = -4*q + 130, 2*q - 2*x = 64. Suppose -a + q + 81 = 0. Find k, given that 12*k - 55 + 20*k**3 - 28*k**2 - 59 + a - 4*k**4 = 0.
0, 1, 3
Let a be 183/((-9)/3) - (-2)/1. Let n = -51 - a. Factor -8*p**4 + 12*p**3 - 10 - n*p**2 + 10 + 2*p + 2*p**5.
2*p*(p - 1)**4
Let u(q) be the third derivative of -q**8/560 + q**7/280 + q**6/20 + 5*q**3/6 + 52*q**2. Let f(m) be the first derivative of u(m). Suppose f(n) = 0. What is n?
-2, 0, 3
Let l be (-27)/6*(-1 + 0 + -1). Let f(x) = -3*x**3 - 351*x**2 - 10098*x + 10416. Let m(j) = j + 3. Let r(v) = l*m(v) + f(v). Factor r(c).
-3*(c - 1)*(c + 59)**2
Let o(s) be the third derivative of -s**7/315 + s**6/180 + s**5/9 + 2*s**4/9 - 3*s**2 - 853*s. Factor o(i).
-2*i*(i - 4)*(i + 1)*(i + 2)/3
Suppose 56*t - 34/9*t**3 - 288 + 2/9*t**4 + 40/3*t**2 = 0. Calculate t.
-4, 6, 9
Let c be 696/7 - 32/(-56) - 0. Let v(u) be the first derivative of -572/3*u**3 - 16*u - 169/2*u**4 - 22 + c*u**2. Factor v(f).
-2*(f + 2)*(13*f - 2)**2
Let i be 5313/1265 + (3 - (-6)/(-1)). Let n(w) be the first derivative of -32 + 1/5*w**3 + i*w + 9/10*w**2. Factor n(l).
3*(l + 1)*(l + 2)/5
Solve -1022*k**3 + 42920*k**5 - 21458*k**5 + 191*k**2 + 1016*k**4 - 21454*k**5 + 65*k**2 = 0 for k.
-128, 0, 1/2
Suppose 86 - 282 = -7*b. Suppose 5*z - b = -13. Factor 12*o - 3*o**2 - 9*o + 35*o**4 - 32*o**4 - z*o**3.
3*o*(o - 1)**2*(o + 1)
Let x(m) be the first derivative of -m**5/30 - 235*m**4/12 - 53797*m**3/18 + 27965*m**2 - 84966*m - 805. Factor x(i).
-(i - 3)**2*(i + 238)**2/6
Let x(u) be the second derivative of -u**7/105 + 21*u**6/5 - 1011*u**5/2 + 14789*u**4/6 - 4888*u**3 + 24336*u**2/5 + 3924*u. Factor x(r).
-2*(r - 156)**2*(r - 1)**3/5
Let n(s) be the second derivative of -s**5/5 + 62*s**4/3 + 266*s**3 + 1224*s**2 + 154*s + 12. Factor n(d).
-4*(d - 68)*(d + 3)**2
Let j(u) = -3*u**3 - 8*u**2 + 133*u + 118. Let b = -260 + 248. Let r(z) = -8*z**3 - 20*z**2 + 332*z + 296. Let t(p) = b*j(p) + 5*r(p). Factor t(x).
-4*(x - 4)*(x + 1)*(x + 4)
Let v(o) = o**2 + 41*o - 84. Suppose 76*t - 80*t = -8. Let n be v(t). Solve -8/7 - 16/7*g**5 + 12/7*g**4 - 36/7*g - 4/7*g**n + 52/7*g**3 = 0 for g.
-1, -1/4, 1, 2
Let c(a) be the third derivative of a**8/336 - 11*a**7/105 - a**6/40 + 17*a**5/15 - 11*a**4/6 - 802*a**2. Determine g so that c(g) = 0.
-2, 0, 1, 22
Let t = -56 + 124. Suppose 2*h - 5*n = h + 10, -h + 16 = -2*n. Factor -t*u**2 + 9*u + 10*u + 63*u**2 - 4*u + h.
-5*(u - 4)*(u + 1)
Let n(f) be the second derivative of 4/3*f**4 + 0*f**3 - 1/42*f**7 - 6/5*f**5 + 144*f + 0*f**2 + 0 + 3/10*f**6. Factor n(k).
-k**2*(k - 4)**2*(k - 1)
Let f be (21 - 3)*(-14)/(-12600)*25. Suppose -f*m**2 + 9/2*m + 5 = 0. What is m?
-1, 10
Let y(h) = -h**3 + 9*h + 10. Let p be y(-3). Suppose -u = 5*i - 26, 2*u + 2*i - 10 = 2. Solve 9 - u + p*k - 6*k**2 + 8*k**2 = 0 for k.
-4, -1
Factor -114894*r**2 + 10*r + 160 + 114864*r**2 + 5*r**3 - 10*r.
5*(r - 4)**2*(r + 2)
Let c = -130779/10 + 13078. Let n(g) be the first derivative of 0*g - 47 + 1/25*g**5 + 3/20*g**4 + 1/5*g**3 + c*g**2. Suppose n(x) = 0. Calculate x.
-1, 0
Let o(t) = t + 1. Let y(j) = -j - 3. Let u(n) = -2*o(n) - y(n). Let d = -61 - -63. Let c(w) = -w**2 - 5*w. Let m(h) = d*u(h) - c(h). Factor m(f).
(f + 1)*(f + 2)
Suppose 20 = 2*j + 14, f = -3*j + 12. Let t(q) be the third derivative of -1/24*q**4 - 1/12*q**f - 9*q**2 + 0*q + 0 - 1/120*q**5. Factor t(p).
-(p + 1)**2/2
Suppose 0 = 3*w + 9 + 12, 3*w = -2*v + 3. Let h(a) be the first derivative of v + 2/35*a**5 - 6/7*a + 4/21*a**3 - 2/7*a**4 + 4/7*a**2. Factor h(l).
2*(l - 3)*(l - 1)**2*(l + 1)/7
Let u(o) be the second derivative of 12*o - 7/6*o**2 + 0 - 1/18*o**3 + 7/36*o**4 + 1/60*o**5. Let u(f) = 0. Calculate f.
-7, -1, 1
Let k(m) = -6*m**2 + 22. Let x(c) = c - 7. Let f be x(10). Let t(r) = 2*r**2 - 8. Let p(n) = f*k(n) + 8*t(n). Solve p(d) = 0 for d.
-1, 1
Let d(o) = -o**3 + 7*o**2 + 2*o - 3. Let f be d(7). Let p be (f - 9) + 8/(-20). Find j, given that -6/5 + 4/5*j**2 + p*j**3 + 2/5*j**4 - 8/5*j = 0.
-3, -1, 1
Let g(b) be the second derivative of -3*b**5/20 - 327*b**4/20 - 45*b**3 - 192*b**2/5 + 9747*b. Let g(z) = 0. What is z?
-64, -1, -2/5
Let f(i) be the first derivative of -5*i**4/4 - 10070*i**3/3 - 20125*i**2/2 - 10060*i + 12634. Factor f(l).
-5*(l + 1)**2*(l + 2012)
Let q = 75 + -29. Let w be (-34)/(-9) + ((-120)/(-54) - 2). Suppose 58*g**5 + 672*g**w + 89*g**5 + 936*g**3 - q*g**2 + 430*g**2 + 70*g - 22*g = 0. Calculate g.
-2, -2/7, 0
Determine p, given that -723*p**2 + 51 - 3*p**3 + 7*p**3 + 366*p**2 + 60*p + 57 + 313*p**2 = 0.
-1, 3, 9
Let n(z) be the third derivative of z**5/15 + 38*z**4 - 458*z**3/3 + 2*z**2 - 1381*z. Factor n(c).
4*(c - 1)*(c + 229)
Let a(m) be the third derivative of -35*m**7/24 + 14*m**6/3 + 137*m**5/80 + 3*m**4/16 - 8288*m**2. Factor a(i).
-i*(i - 2)*(35*i + 3)**2/4
Let m(t) be the first derivative of 123/2*t**2 + 60*t - 78 + 22*t**3 + 3/4*t**4. Let m(h) = 0. What is h?
-20, -1
Factor -63*t**2 - 143*t**2 + 39*t**2 + 2*t.
-t*(167*t - 2)
Let h(i) = -10*i**2 - 936*i - 744. Let d(k) = -3*k**2 - 303*k - 248. Let a(c) = -14*d(c) + 4*h(c). Factor a(j).
2*(j + 1)*(j 