 d so that c(d) = 0.
-2, 0, 1
Let p = 2410 + -2406. Let n(s) be the first derivative of 1/3*s**p - 8/3*s**2 - 14 - 4/9*s**3 + 16/3*s. Suppose n(h) = 0. What is h?
-2, 1, 2
Let q = -14489/12 + 7261/6. Determine i so that 3/2*i**3 + 1/4*i**4 - q*i**2 - 15*i + 25 = 0.
-5, 2
Let j(z) be the second derivative of 0*z**3 - 1/120*z**6 + 74*z + 0*z**2 + 1/40*z**5 + 1/16*z**4 + 0. Suppose j(y) = 0. What is y?
-1, 0, 3
Let f(z) be the first derivative of 8*z**3/3 - 439*z**2 - 220*z - 5657. What is r in f(r) = 0?
-1/4, 110
Let n(l) be the third derivative of l**8/47040 + l**7/2940 + l**6/630 + l**4/12 + 10*l**3/3 + 6*l**2. Let s(j) be the second derivative of n(j). Factor s(o).
o*(o + 2)*(o + 4)/7
Let v(i) be the first derivative of 1/20*i**6 + 0*i**3 + 0*i + 0*i**4 + 2*i**2 + 0*i**5 - 5 + 1/70*i**7. Let f(c) be the second derivative of v(c). Factor f(a).
3*a**3*(a + 2)
Let j(y) be the first derivative of 25/3*y**3 - 2*y**5 - 24 - 45/4*y**4 + 0*y**2 + 0*y. Suppose j(f) = 0. What is f?
-5, 0, 1/2
Let i(y) be the first derivative of -69 + 1/5*y**3 - 12*y - 57/10*y**2. Factor i(j).
3*(j - 20)*(j + 1)/5
Factor -113/4*a**2 - 14 - 21/4*a**3 + 115/2*a.
-(a + 7)*(3*a - 4)*(7*a - 2)/4
Let n(m) be the second derivative of m**7/21 + 2*m**6/5 - 4*m**5/5 - m**4 + 7*m**3/3 + 132*m. Factor n(x).
2*x*(x - 1)**2*(x + 1)*(x + 7)
Let i = -201 - -261. What is u in -i*u**2 - 52*u + 11 + 17 - 4*u**4 + 15 - 28*u**3 - 59 = 0?
-4, -1
Let q(g) be the first derivative of 45/2*g**2 + 5/48*g**4 - 18*g + 5/2*g**3 - 7. Let x(s) be the first derivative of q(s). Factor x(z).
5*(z + 6)**2/4
Let a(b) be the first derivative of -1/10*b**4 - 26/15*b**3 - 6*b + 73 + 29/5*b**2. Find r, given that a(r) = 0.
-15, 1
Let p(z) be the third derivative of 3/4*z**3 + 0 - 1/240*z**5 + 0*z + 7/96*z**4 + 165*z**2. Determine s so that p(s) = 0.
-2, 9
Factor -85*c**2 - 7*c - 118*c + 416 - 377 + 171.
-5*(c - 1)*(17*c + 42)
Let v(h) = 92*h**2 - 61*h - 3. Let f(o) = 372*o**2 - 243*o - 10. Let m(w) = 8*f(w) - 30*v(w). Determine g so that m(g) = 0.
1/9, 5/12
Let n be (6240/(-204))/(-20)*10/4. Let l = n + -421/119. Find a, given that -10/7*a - 12/7 - l*a**2 = 0.
-3, -2
Let t be 4/(-9) - 2736/(-324). Let m be t/2*-1 - (-330)/77. Factor 0*z + m*z**4 - 4/7*z**2 + 2/7 + 0*z**3.
2*(z - 1)**2*(z + 1)**2/7
Suppose 23*v = 26*v + 3*k - 135, -3*k = -v + 33. Solve 9*r**3 - 39*r**5 - v*r**5 + 78*r**5 + r**4 + 6*r**2 - r**4 = 0 for r.
-1, 0, 2
Factor -180*w - 6 + 3*w**4 + 136 + 9*w**3 + 64*w**3 - 114*w**2 + 278 - 28*w**3.
3*(w - 2)**2*(w + 2)*(w + 17)
Let n = 14009/21 + -667. Let s(h) be the third derivative of -2/105*h**5 + 0*h + 0 - 7*h**2 + 5/84*h**4 - n*h**3 + 1/420*h**6. Factor s(u).
2*(u - 2)*(u - 1)**2/7
Let y be 8*(871/104 - 8). Let i(x) be the first derivative of 0*x**y + 0*x**2 + 0*x - 9 - 1/16*x**4. Let i(d) = 0. What is d?
0
Let a(m) be the third derivative of 5*m**4/24 - m**3/3 + 21*m**2. Let z be a(1). Factor o**z + o**2 - 322 + 322.
o**2*(o + 1)
Find i such that 553/2 + 3317/6*i - 1/6*i**3 + 1657/6*i**2 = 0.
-1, 1659
Let c(i) be the second derivative of 59*i**6/10 + 23*i**5/8 - 593*i**4/72 + 41*i**3/12 - i**2/12 + 1009*i. Find u, given that c(u) = 0.
-1, 1/118, 1/3
Let m(b) be the first derivative of b**6/15 - b**5/5 - 7*b**4/6 - 4*b**3/3 - 93*b - 90. Let i(c) be the first derivative of m(c). Let i(s) = 0. What is s?
-1, 0, 4
Let g(i) be the second derivative of i**5/100 + 49*i**4/6 + 20331*i**3/10 + 118098*i**2/5 + i + 2263. Factor g(l).
(l + 4)*(l + 243)**2/5
Let x = 73/84 - 5/42. Let g be 36/120 - (-54)/120. Let -g*o**2 - x*o**3 + 3/4*o + 3/4 = 0. What is o?
-1, 1
Let y(h) = 12875*h + 51502. Let t be y(-4). Find o, given that 0*o + 0 - 10*o**3 - 15/2*o**5 - 20*o**t + 25*o**4 = 0.
-2/3, 0, 2
Let w(c) be the second derivative of 4 + 1/10*c**5 + 19*c + 7/3*c**3 - 1/2*c**6 + 0*c**2 + 11/4*c**4 + 1/21*c**7. Let w(k) = 0. What is k?
-1, -1/2, 0, 2, 7
Suppose 4*b = 2*q + 4, 8*b = 4*b + 12. Let x be q/(-4)*(8 + -10). Factor 0*l + 20/3*l**3 - 4/3*l**x - 25/3*l**4 + 0.
-l**2*(5*l - 2)**2/3
Find q, given that -290/7*q + 2/7*q**3 - 62/7*q**2 + 50 = 0.
-5, 1, 35
Let y(a) be the third derivative of 1/75*a**5 + 4/5*a**3 + 0*a + 4 - 7/30*a**4 + 8*a**2. Factor y(q).
4*(q - 6)*(q - 1)/5
Let s(g) = -6*g + 21. Let a be s(3). Factor -2*j - j**a + 217*j**2 - 223*j**2 - 3*j.
-j*(j + 1)*(j + 5)
Suppose 0 = -118*c - 1663 - 225. Let w be (-1 - (-96)/104)*c. Factor -w*k - 32/13 - 2/13*k**2.
-2*(k + 4)**2/13
Let i(n) = -2*n**3 - 56*n**2 + 178*n - 120. Let t(v) = 2*v**3 + 57*v**2 - 179*v + 120. Let m(a) = 6*i(a) + 4*t(a). Factor m(b).
-4*(b - 2)*(b - 1)*(b + 30)
Let k(f) be the third derivative of f**8/2016 + 3*f**7/140 + 133*f**6/360 + 142*f**5/45 + 40*f**4/3 + 256*f**3/9 - 50*f**2. Factor k(q).
(q + 1)*(q + 2)*(q + 8)**3/6
Let j(x) be the second derivative of -x**5/10 - 5*x**4/3 + x**3/3 + 10*x**2 + 28*x + 6. Factor j(o).
-2*(o - 1)*(o + 1)*(o + 10)
Let s(a) = -13*a**3 + 46*a**2 - 177*a + 129. Let v(g) = 42*g**3 - 136*g**2 + 530*g - 388. Let z(o) = -16*s(o) - 5*v(o). Factor z(n).
-2*(n - 2)*(n - 1)*(n + 31)
Factor -190 + 12277*j**2 - 70 + 47*j - 12276*j**2.
(j - 5)*(j + 52)
Let n(m) be the third derivative of -m**6/120 - 33*m**5/5 - 2178*m**4 - 383328*m**3 - 5*m**2 + 1. Factor n(b).
-(b + 132)**3
Factor 544*j**3 - 8*j**4 + 10*j**4 - 64*j**3 - 6*j**4.
-4*j**3*(j - 120)
Let j(g) = g**3 + g + 2. Let q(l) = 5*l**3 - 23*l**2 + 45*l + 29. Let t(z) = -4*j(z) + q(z). Let k be t(21). Let k + 4/5*d - 1/5*d**3 + 3/5*d**2 = 0. What is d?
-1, 0, 4
Let d(s) = 85*s**4 - 390*s**3 + 295*s**2 + 5. Let n(g) = g**5 + 85*g**4 - 389*g**3 + 291*g**2 + 6. Let i(y) = -6*d(y) + 5*n(y). Factor i(w).
5*w**2*(w - 9)*(w - 7)*(w - 1)
Let x(u) = u**2 + 9*u - 16. Let b be x(-9). Let s(c) = -c + 30. Let f be s(b). Factor 5 - f*p**2 + 44*p**2 - 3.
-2*(p - 1)*(p + 1)
Let d(j) be the first derivative of j**5/180 + 7*j**4/18 + 98*j**3/9 + 59*j**2/2 - 7. Let z(q) be the second derivative of d(q). What is w in z(w) = 0?
-14
Let n(h) = -6*h**2 + 42. Let v(c) = 25*c**2 - 164 + 7 - 14. Let u(p) = -9*n(p) - 2*v(p). Factor u(i).
4*(i - 3)*(i + 3)
Let g(u) be the third derivative of u**7/210 + u**6/16 - 4*u**5/15 - 23*u**4/4 + 12*u**3 - 11*u**2 - 13. Solve g(v) = 0 for v.
-6, 1/2, 4
Let f = 573/2710 + 24/271. Let h(j) be the first derivative of -f*j**2 + 3/20*j**4 - 6/5*j + 2/5*j**3 + 14. Factor h(t).
3*(t - 1)*(t + 1)*(t + 2)/5
Factor 5*p**2 - p**2 + 130*p - 466 + p**2 + 186.
5*(p - 2)*(p + 28)
Factor 1250 + 25*u**2 - 2*u**3 + 2378*u + 283 + 41*u**2 + 777.
-2*(u - 55)*(u + 1)*(u + 21)
Let m(g) be the third derivative of g**7/280 - 3*g**5/40 - g**4/4 + g**3/3 + 35*g**2 - 2*g. Let n(r) be the first derivative of m(r). Factor n(l).
3*(l - 2)*(l + 1)**2
Suppose -5*l = -15, -3*y + 123 = -0*l + 3*l. Let i = y + -36. Factor 3*a**4 + 3*a**4 + 0*a**2 + i*a**5 + 2*a**2 + 6*a**3 + 0*a**2.
2*a**2*(a + 1)**3
Let m(i) be the third derivative of 0*i + 193*i**2 - 2/105*i**7 + 0*i**3 + 0*i**4 - 3/5*i**5 - 1/5*i**6 + 0. Find s, given that m(s) = 0.
-3, 0
Let s(j) be the second derivative of -j**5/40 - 5*j**4/2 + 31*j**3/3 - 355*j + 2. Let s(n) = 0. Calculate n.
-62, 0, 2
Determine x, given that 45*x**2 + 6922 - 2*x**3 - 13903 + 5*x**4 + 6931 - 33*x**3 + 35*x = 0.
-1, 1, 2, 5
Factor -734*a**2 + 733*a**2 - 62 + 28*a + 35*a.
-(a - 62)*(a - 1)
Let g = -225 - -229. Let y(c) be the third derivative of 0 + 0*c**3 - 14*c**2 + 0*c - 1/144*c**g + 1/720*c**6 + 0*c**5. Find b, given that y(b) = 0.
-1, 0, 1
Suppose 3*l = -3*o + l + 2, -4*l = -4*o + 16. Factor 670*k**2 + 4 - 333*k**o - 331*k**2 - k**3 - 9*k.
-(k - 4)*(k - 1)**2
Let t be (-5)/(-369)*207/690. Let c = t - -27/82. Solve -1/2*h - 1/6*h**2 - c = 0 for h.
-2, -1
Let n(c) = -c**3 + 13*c**2 + 3*c - 12. Let h be n(13). Suppose 18 = 5*f - h. Let f*z**2 - 7*z**3 + 6*z**2 + 3*z**3 - 3*z**2 - 8*z = 0. What is z?
0, 1, 2
Let o(f) be the second derivative of -f**5/30 + f**3/3 - 3*f**2 - 15*f. Let p(a) be the first derivative of o(a). Suppose p(t) = 0. Calculate t.
-1, 1
Let k(f) = 5*f**3 + 1854*f**2 - 215280*f + 423203. Let g(o) = -7*o**3 - 3706*o**2 + 430560*o - 846405. Let r(q) = 3*g(q) + 5*k(q). Let r(m) = 0. What is m?
2, 230
Let j be (-91)/(-42) - ((-7)/(-5 - 37) - 0). Factor 70/11*d + 12/11 + j*d**2.
2*(d + 3)*(11*d + 2)/11
Let q = 756 - 732. Let 