f.
-5, 1
Let t(g) = 5*g + 41. Let l be t(-6). Solve -2*n + 2*n**3 + l*n**3 - 11*n**3 = 0.
-1, 0, 1
Suppose -1 = 3*f - 7. Let c be (-2 - 2)/((-4)/f). Factor -s**2 + 0*s + 0*s + 2*s - 3 + c*s.
-(s - 3)*(s - 1)
Let k = 14 - 2. Suppose 4*u - k = 4*f, -5*f + 3*u - 9 = -0*u. Factor 2/5*j**5 + 2/5*j**4 - 4/5*j**3 + 0*j**2 + 0*j + f.
2*j**3*(j - 1)*(j + 2)/5
Solve 4 + 124/9*i - 7/9*i**2 = 0 for i.
-2/7, 18
What is z in -1250/7 - 2/7*z**2 - 100/7*z = 0?
-25
Let d(w) be the first derivative of -6 + 4*w + 8*w**2 - 4/3*w**3 - 4*w**4. Factor d(i).
-4*(i - 1)*(i + 1)*(4*i + 1)
Let f(g) be the second derivative of -g**7/1470 - g**6/420 + g**5/105 + g**4/84 - g**3/14 + 7*g**2 + 3*g. Let j(q) be the first derivative of f(q). Factor j(u).
-(u - 1)**2*(u + 1)*(u + 3)/7
Determine m so that -43*m - 12 + 15*m - 12*m - 12*m**2 = 0.
-3, -1/3
Let g = -27 + 29. Find y such that 5*y**2 + 5*y**2 - 5*y - y**3 - 2*y**2 - 4*y**2 + g = 0.
1, 2
Let b(h) be the second derivative of h**5/70 - 5*h**4/14 + 18*h**3/7 - 40*h**2/7 - 194*h. Solve b(r) = 0.
1, 4, 10
Let k(n) be the first derivative of n**6/3 - 12*n**5/5 + 9*n**4/2 - 8*n**3/3 + 364. Solve k(x) = 0 for x.
0, 1, 4
Let f(i) = 3*i**2 + 175*i + 552. Let w be f(-55). Determine g, given that -5/7*g + 4/7*g**w + 2/7 - 1/7*g**3 = 0.
1, 2
Let v(c) = 21*c**3 + c**2 + 3. Let g(d) = 43*d**3 + 3*d**2 + 5. Let a(b) = -3*g(b) + 5*v(b). Find u such that a(u) = 0.
-1/6, 0
Let o(w) be the first derivative of 4/3*w + 3 - 2/9*w**3 + 1/3*w**2. Let o(z) = 0. Calculate z.
-1, 2
Let j(g) = -3*g**3 + 2*g**2 + g. Let x(n) = 7*n**3 - 158*n**2 - 1369*n - 3380. Let i(k) = 4*j(k) + x(k). Factor i(s).
-5*(s + 4)*(s + 13)**2
Let t(u) be the third derivative of u**5/60 + u**4/24 - 28*u**3/3 - 13*u**2. Find f, given that t(f) = 0.
-8, 7
Let m(w) be the third derivative of -w**8/50400 - w**7/3150 - w**5/6 + 4*w**2. Let v(l) be the third derivative of m(l). Factor v(c).
-2*c*(c + 4)/5
Let b(v) be the first derivative of -9/4*v**2 + v**3 + 5 - 2*v - 1/8*v**4. Let a(i) be the first derivative of b(i). What is p in a(p) = 0?
1, 3
Determine q so that -75*q**5 - 4089*q**3 + 192/5 - 2832/5*q + 13683/5*q**2 - 1155*q**4 = 0.
-8, 1/5
Let t = 42 - 36. Suppose -4*p = -0 - 16, 2*s + t = 3*p. Factor 0 - 21/2*l**2 - 12*l**s - 3*l - 9/2*l**4.
-3*l*(l + 1)**2*(3*l + 2)/2
Suppose -12 = -10*r + 6*r. Factor -12 - r*v**2 + 10 + 3*v - 3*v**2 + 5*v**2.
-(v - 2)*(v - 1)
Suppose -5*n = 3*w - 3, -2*w - 3 = n + 2. Factor 8*c**3 + 5*c**n + c - 7*c**2 - 5*c**3 - 5*c**4 + 3*c**3.
-c*(c - 1)**2*(5*c - 1)
Let l = 175 - 173. Let z(u) be the second derivative of 1/16*u**4 - 1/8*u**3 + 0 - 6*u + 0*u**l. Factor z(n).
3*n*(n - 1)/4
Let o = 4862 - 53332/11. What is p in 2/11*p**3 + o*p - 30/11*p**2 - 250/11 = 0?
5
Let m(v) be the first derivative of v**4/2 + 80*v**3/3 + 400*v**2 - 37. Solve m(z) = 0 for z.
-20, 0
Factor -110 - 12*u - 20*u - 2*u**2 + 6*u**2 - 22.
4*(u - 11)*(u + 3)
Factor -20*k**2 + k**5 + 4*k**5 + 15*k**2 + 15*k**3 - 14*k**4 - k**4.
5*k**2*(k - 1)**3
Let a(o) be the first derivative of o**4/12 - 2*o**3/3 + 3*o**2/2 + 7*o - 18. Let n(i) be the first derivative of a(i). Factor n(h).
(h - 3)*(h - 1)
Let v(s) be the first derivative of -s**5/15 + s**4/4 + 136. Determine t, given that v(t) = 0.
0, 3
Let t = 18 + -13. Factor 6*s**3 + 0*s**2 - 3*s**2 + t*s**3 - 14*s**3.
-3*s**2*(s + 1)
Let t be ((-16)/((-32)/(-45)))/(-1). Let r(n) be the first derivative of 7*n**3 + 27*n + 1 + t*n**2 + 3/4*n**4. What is u in r(u) = 0?
-3, -1
Let n(m) = m**3 - m**2 + m + 1. Let u(p) = -3*p**4 - 15*p**3 + 15*p - 3. Let x = 13 - 10. Let o(b) = x*n(b) + u(b). Factor o(a).
-3*a*(a - 1)*(a + 2)*(a + 3)
Let -3536 + 178*x**2 + x**5 - 45*x - 16*x**4 + 44*x**3 + 0*x**5 + 3374 = 0. Calculate x.
-2, -1, 1, 9
Let z(b) be the third derivative of 0*b**3 + 19*b**2 - 1/15*b**5 + 0 + 0*b**4 + 0*b + 1/150*b**6. Determine m so that z(m) = 0.
0, 5
Let m(c) = -3*c**3 - 36*c**2 + 322*c - 2. Let r(k) = -2*k**3 - k - 1. Let s(w) = -m(w) + 2*r(w). Suppose s(q) = 0. Calculate q.
0, 18
Suppose -2*g = -5*b - 6 - 5, 3*b = 3. Determine f, given that -g*f**3 + 3*f**3 + 35*f**4 - 20*f**5 - 5*f**3 - 5*f**2 = 0.
-1/4, 0, 1
Let t(z) be the second derivative of -z**4/6 + 25*z**3/3 + 54*z**2 + 2*z - 3. Factor t(a).
-2*(a - 27)*(a + 2)
Find h, given that -31*h**3 + 0*h**4 - 29*h**3 + 20*h**3 - 4*h**4 + 72*h - 28*h**2 = 0.
-9, -2, 0, 1
Let r(g) be the third derivative of -g**7/1680 + g**5/240 - g**3/2 - 3*g**2. Let c(a) be the first derivative of r(a). Solve c(k) = 0 for k.
-1, 0, 1
Let k be ((-670)/175 - 2/(-5))*-7. Factor -105*f**2 + 147*f - 12*f**3 - k*f**3 - 3*f**4 - 3*f**3.
-3*f*(f - 1)*(f + 7)**2
Factor -a**3 + 2886*a + 3*a**3 - 9069*a**2 - 3042 + 9223*a**2.
2*(a - 1)*(a + 39)**2
Let w = 1363/263340 - 3/836. Let z(o) be the third derivative of -w*o**7 - 5*o**2 + 0*o**6 + 1/180*o**5 + 0 + 0*o**4 + 0*o + 0*o**3. Solve z(q) = 0.
-1, 0, 1
Suppose -2523*t = -2502*t. Factor -30/13*c**3 + 4/13*c - 14/13*c**5 - 2/13*c**2 + t - 38/13*c**4.
-2*c*(c + 1)**3*(7*c - 2)/13
Suppose -10 + 70 = 4*l. Suppose -n = -6*n + l. Factor n*y**2 + 6*y**3 - 7*y**3 - 3*y**2.
-y**3
Let v(s) = 10*s**2 + 66*s - 109. Let o be v(-8). Find i such that 1/5*i**4 + 0 + 0*i - 4/5*i**o + 3/5*i**2 = 0.
0, 1, 3
Let w(t) = t**3 - 6*t**2 - 4*t - 5. Let a be w(7). Let m be 3/(-1)*a/(-12). Let 3*j**2 - 7*j**2 + m*j**3 - 5*j + j + 4 = 0. Calculate j.
-1, 1
Let u(h) = h**3 + 3*h**2 - 6*h - 10. Let a be u(-2). Let d be 3/(-12) - a*(-4)/32. Factor 0*r - r**2 + d*r**3 + 0.
r**2*(r - 2)/2
Let j(x) be the third derivative of 3*x**2 + 1/570*x**5 + 0*x**3 + 1/228*x**4 + 0*x + 0. Solve j(z) = 0.
-1, 0
Let y(g) be the first derivative of -g**4/4 + 7*g**3 - 36*g**2 + 68*g + 288. Let y(i) = 0. Calculate i.
2, 17
Let b(w) be the first derivative of 1 - 4*w**3 + 24*w**2 + 1/4*w**4 - 2*w. Let d(l) be the first derivative of b(l). Find f, given that d(f) = 0.
4
Let n = 565 + -561. Let f(h) be the second derivative of 0*h**3 + 0 - 8*h - 1/2*h**2 + 1/48*h**n. Suppose f(k) = 0. Calculate k.
-2, 2
Let q(h) be the second derivative of 22*h - 1/4*h**4 - 12*h**2 - 3*h**3 + 0. Let q(l) = 0. What is l?
-4, -2
Let h(u) = -u**3 + u**2 + u - 1. Let f(d) = 15*d**3 - 21*d**2 - 15*d + 21. Let n = 13 + -5. Let q be (-146)/n - (-3)/12. Let c(g) = q*h(g) - f(g). Factor c(x).
3*(x - 1)*(x + 1)**2
Suppose k + 7 - 9 = 0. Let i(r) = k - r**3 + r**2 + 1 - 2. Let m(y) = 3*y**3 - 20*y**2 - 24*y + 11. Let f(v) = 10*i(v) + 2*m(v). What is d in f(d) = 0?
-4, 1/2
Let i be 9/(-5370)*(1 - -7623)/(-4). Let s = i + 1/179. Factor s*t**3 + 0 + 4/5*t - 16/5*t**2.
4*t*(2*t - 1)**2/5
Let v(h) be the first derivative of 3/14*h**2 + 1/21*h**3 + 0*h + 1. Factor v(z).
z*(z + 3)/7
Find l, given that -6*l**2 + 14*l**4 - 3*l - 40*l**4 + 3*l**5 + 14*l**4 + 18*l**4 = 0.
-1, 0, 1
Let t(m) be the first derivative of 3*m**4/32 - 57*m**3/8 + 3249*m**2/16 - 20577*m/8 + 4. Factor t(j).
3*(j - 19)**3/8
Let j(l) be the first derivative of 3*l**5/25 + 9*l**4/5 - 27*l**3/5 + 21*l**2/5 - 14. Factor j(h).
3*h*(h - 1)**2*(h + 14)/5
Let x(p) = -28*p**2 + 57*p + 1. Let q be x(2). Solve -2/11*j**q + 2/11*j - 8/11*j**2 + 0 + 8/11*j**4 = 0.
-1, 0, 1/4, 1
Let k(x) = 5*x**2 + 96*x + 21. Let g be k(-19). Let -8/3*d**3 - 2/3 - 16/3*d**g - 10/3*d = 0. Calculate d.
-1, -1/2
Factor -2/9*a**3 + 20/9*a**2 + 0 - 50/9*a.
-2*a*(a - 5)**2/9
Suppose -15 = -15*s + 15. Determine n so that -10*n**s + 50*n**2 + 43*n**3 + 35*n**4 - 31*n + 11*n + 52*n**3 = 0.
-2, -1, 0, 2/7
Suppose -c - 24 = -3*c + 4*h, 3*c + h - 36 = 0. Let b(m) be the first derivative of 0*m**2 + 0*m + c + m**4 + 4/3*m**3. Factor b(z).
4*z**2*(z + 1)
Let s be ((-3)/18)/((-50)/3). Let l(p) be the second derivative of 0*p**2 + s*p**5 + 0 - 1/15*p**3 - 1/60*p**4 - p. Solve l(v) = 0.
-1, 0, 2
Let s = -1/2085 - -149/20850. Let o(g) be the third derivative of -1/75*g**5 - 1/30*g**4 + 2/15*g**3 - g**2 + 0 + 0*g + s*g**6. Find l such that o(l) = 0.
-1, 1
Let p(r) = r + 3. Let d be p(7). Suppose -3*f + 3*i = 0, -f + 3*f + 3*i - d = 0. Suppose -3*x**f - 3*x + 3*x = 0. What is x?
0
Let d = -5/349 - -4213/1745. Suppose -12/5 - 3/5*s**3 + d*s + 3/5*s**2 = 0. What is s?
-2, 1, 2
Let q(k) be the third derivative of 9/7*k**4 + 0*k - 32/21*k**3 + 1/15*k**5 - 21*k**2 + 0. Factor q(y).
4*(y + 8)*(7*y - 2)/7
Let s = -1354/