 6*p**4 - 16*p**3/3 - 16*p**2 - 245. Determine s so that u(s) = 0.
-2, 0, 1
Let -c**5 - 14/3*c**3 + 8/3*c + 4/3*c**2 - 13/3*c**4 + 0 = 0. Calculate c.
-2, -1, 0, 2/3
Suppose -9 = -4*f + f, 0 = -w + 4*f - 10. Let r = 2361/20213 + 1/1189. Let -4/17*c - r*c**w - 2/17 = 0. Calculate c.
-1
Let w = -2373/2 - -462743/390. Let m(g) be the second derivative of -3/65*g**5 - 7*g - 2/39*g**4 + 0*g**2 - 1/273*g**7 - 1/39*g**3 + 0 - w*g**6. Factor m(j).
-2*j*(j + 1)**4/13
Factor 7/2*r**3 + 227/2*r - 92*r**2 - 25.
(r - 25)*(r - 1)*(7*r - 2)/2
Suppose -17*h + 93 - 25 = 0. Factor -256/5*p - 16/5*p**3 + 96/5*p**2 + 256/5 + 1/5*p**h.
(p - 4)**4/5
Let x be (4 - (-30)/(-9))/8. Let h(b) be the third derivative of 0 + 1/120*b**5 - 2*b**2 + 0*b**4 - x*b**3 + 0*b. What is r in h(r) = 0?
-1, 1
Let u = -1646 + 1651. Let s(w) be the third derivative of 0*w**3 - w**2 + 0*w + 0 + 0*w**4 - 1/40*w**6 - 1/10*w**u. Determine m so that s(m) = 0.
-2, 0
Let m = -73 - -172. Factor -4*r**2 + 73 + 58 - 28*r - m.
-4*(r - 1)*(r + 8)
Let v = -3316 - -13191/4. Let d = v - -673/36. Factor -4/9*c**2 - d + 10/9*c.
-2*(c - 2)*(2*c - 1)/9
Suppose 7*a + 5 - 26 = 0. Suppose 7 + 1 = m + 2*f, a*m = f + 3. Factor 9/4*y**m + 0 + 3/2*y + 3/4*y**3.
3*y*(y + 1)*(y + 2)/4
Let q(s) = -s**2 - 8*s - 7. Let l be q(-6). Suppose -5*m = -20 - 0. Solve 5*x**m + 2*x**5 - 6*x**5 - 4*x**5 + l*x**5 - 2*x**3 = 0 for x.
0, 2/3, 1
Let m be 1/((-1)/(-2) + 18/(-60)). Suppose 12*v = 2*v + m*v. Factor v*w + 0*w**3 + 0 - 4/5*w**4 + 4/5*w**2.
-4*w**2*(w - 1)*(w + 1)/5
Let x(n) be the first derivative of -n**6/13 + 16*n**5/65 + 77*n**4/26 - 148*n**3/13 - 128*n**2/13 + 320*n/13 - 78. Determine o so that x(o) = 0.
-5, -1, 2/3, 4
Let r = 75189/11 + -6835. Factor -4/11*q**3 + 6/11*q + 6/11*q**4 - 2/11*q**5 - r*q**2 - 2/11.
-2*(q - 1)**4*(q + 1)/11
Let a(v) be the second derivative of 36/7*v**2 + 4/7*v**3 + 1/42*v**4 + 0 - 18*v. Solve a(x) = 0 for x.
-6
Let x(u) be the third derivative of u**8/240 + 13*u**7/525 + 9*u**6/200 + u**5/75 - u**4/30 + 4*u**2 + 1. Determine r so that x(r) = 0.
-2, -1, 0, 2/7
Let m(i) be the first derivative of -10/7*i**2 - 4 + 2/21*i**3 + 50/7*i. Factor m(j).
2*(j - 5)**2/7
Suppose 2/3*d - 4/3 + 2*d**2 = 0. Calculate d.
-1, 2/3
Let r(l) be the third derivative of -l**6/420 + l**5/42 - 2*l**4/21 + 4*l**3/21 + 76*l**2. Factor r(q).
-2*(q - 2)**2*(q - 1)/7
Let k(m) = 5*m**2 + 30*m - 45. Let w(c) = 8*c**2 + 45*c - 67. Let v(g) = 7*k(g) - 5*w(g). Determine h, given that v(h) = 0.
-4, 1
What is a in 60/11 + 86/11*a - 6/11*a**2 = 0?
-2/3, 15
Let o be 3*((-4)/6 - -1). Suppose 0 = 2*t - o - 9. What is g in -3 + 1 - t*g - 3*g + 5*g + g**3 = 0?
-1, 2
Let w(o) be the first derivative of -o**5/15 - o**4/12 + o**3/3 + 5*o**2/6 + 2*o/3 - 38. Find k such that w(k) = 0.
-1, 2
Let b be 3/8*100*(-4)/(-6). Find z, given that 85/3*z - 10/3 - b*z**2 = 0.
2/15, 1
Let q = -33211964513/1265 + 26254519. Let n = q + 2/1265. Solve n - 4/5*v**3 - 6/5*v**2 + 2/5*v**4 + 8/5*v = 0 for v.
-1, 2
Let d(z) be the second derivative of -7*z**6/135 + 37*z**5/90 - 11*z**4/9 + 44*z**3/27 - 8*z**2/9 - 13*z. Let d(m) = 0. Calculate m.
2/7, 1, 2
Let x(y) be the second derivative of 0 - 2/9*y**3 + 8*y + 7/12*y**5 - 1/9*y**4 + 0*y**2. Find r such that x(r) = 0.
-2/7, 0, 2/5
Factor -2*l**3 - 3 - 29 + 12*l**2 - 2*l**3 - 5157*l + 5181*l.
-4*(l - 4)*(l - 1)*(l + 2)
Determine o so that -3/4*o**3 + 3/4*o + 12*o**2 - 12 = 0.
-1, 1, 16
Let v be 3/(5/(-2 - -7)). Factor v*l**2 + l**2 + 3*l**2 - 5*l**2 - 2*l.
2*l*(l - 1)
Let s(z) be the second derivative of z**7/56 - z**6/15 + 3*z**5/40 - z**3/24 + 59*z. Determine x so that s(x) = 0.
-1/3, 0, 1
Suppose -38*h - 84 = -36*h. Let z be ((-14)/8 + 0)*30/h. Factor -p + 4*p**2 + z*p**4 + 0 - 17/4*p**3.
p*(p - 2)*(p - 1)*(5*p - 2)/4
Factor 0*k + 1517/4*k**3 + 19*k**4 + 0 + 1369/2*k**2 + 1/4*k**5.
k**2*(k + 2)*(k + 37)**2/4
Let i be (-7 + (1 - 3))/(1/(-2)). Let k be 10/(-12) + i/4 + -3. Factor -2/3*u**4 - 4*u**2 + 8/3*u + 8/3*u**3 - k.
-2*(u - 1)**4/3
Let s(d) = 12*d**3 - 292*d**2 - 460*d - 220. Let j(q) = 2*q**3 - 58*q**2 - 92*q - 44. Let l(n) = 16*j(n) - 3*s(n). Factor l(x).
-4*(x + 1)**2*(x + 11)
Let 6/11*j**2 - 2/11*j**3 + 24/11 + 32/11*j = 0. What is j?
-2, -1, 6
Solve -75/2*x**5 + 173/2*x**4 - 77/2*x**2 + 24*x - 211/6*x**3 + 2/3 = 0.
-2/3, -2/75, 1
Let x(p) = -6*p**2 - 163*p + 365. Let j(q) = 3*q**2 + 81*q - 183. Let h(g) = 5*j(g) + 3*x(g). What is i in h(i) = 0?
-30, 2
Let z(i) be the second derivative of -1/2*i**4 + 0 + 0*i**6 + 0*i**2 - 1/14*i**7 + 0*i**3 - 20*i + 9/20*i**5. Factor z(b).
-3*b**2*(b - 1)**2*(b + 2)
Let t = -357 + 525. Let d = 170 - t. Solve 0 + 1/4*i**d - 3/4*i = 0.
0, 3
Let v be (-16)/56 - (-186)/14. Let x(y) = -v*y**2 + y**2 + 5*y - 5 + y**2. Let t(l) = 5*l**2 - 2*l + 2. Let s(g) = -5*t(g) - 2*x(g). Solve s(o) = 0.
0
Let m be ((-22)/11 - 4/3)*(-21)/56. Solve -1/4*j**2 + 3/2*j - m = 0 for j.
1, 5
Let b = -218 + 221. Let p(r) be the first derivative of -3/35*r**5 + 0*r + 0*r**4 + 1 + 1/7*r**b + 0*r**2. Suppose p(m) = 0. Calculate m.
-1, 0, 1
Suppose 5 = -4*t + 13. Let y be t*-1*15/(-5). Determine p so that -6*p - 15*p**2 - 4 + 21*p**2 + y*p**4 + 10*p**3 + 10*p**3 - 6*p**3 = 0.
-1, 2/3
Let k(x) = x**3 + x**2 + 2. Let b(o) = -4*o**3 - 12*o**2 - o - 3. Let v(m) = b(m) + 5*k(m). Factor v(g).
(g - 7)*(g - 1)*(g + 1)
Suppose -6 = -3*c + a, 6 = -4*c - 3*a + 1. Let n be (5/10*c)/(18/4). Find x, given that -1/9*x**4 + 0*x**3 + 0*x + 2/9*x**2 - n = 0.
-1, 1
Let n(d) = 8*d**3 + 24*d**2 - 7*d - 39. Let v(k) = -4*k**3 - 12*k**2 + 4*k + 20. Let w(i) = 4*n(i) + 7*v(i). Factor w(p).
4*(p - 1)*(p + 2)**2
Suppose 46*l - 42 - 50 = 0. Let h(v) be the second derivative of -1/14*v**4 + 0*v**l - 3/70*v**5 - 6*v + 0 - 1/105*v**6 - 1/21*v**3. Solve h(r) = 0.
-1, 0
Let q = 18 + -14. Suppose q*n**3 - 6*n**4 + 2*n**5 + 82*n - 41*n - 41*n = 0. Calculate n.
0, 1, 2
Let d = 540 + -536. Let o(a) be the first derivative of 12*a**2 + 12*a + a**3 + 4 - 9/4*a**d. Factor o(x).
-3*(x - 2)*(x + 1)*(3*x + 2)
Suppose 3*z = -3*z. Let r be z + -1 + (9 - 6). Suppose 7*x**4 + 11*x**3 + 0*x**4 - 6*x**2 - 7*x**5 - 2*x - r*x**5 - x**2 = 0. What is x?
-1, -2/9, 0, 1
Let u be (-1 - -3 - 3)*1*-1. Suppose -2*l - 17 = -3*m, 2*m - 4*l - u = 7*m. Factor 0*v**2 + 0 + 1/3*v**4 + 0*v + 1/3*v**m.
v**3*(v + 1)/3
Factor 48/7*w - 180/7 - 3/7*w**2.
-3*(w - 10)*(w - 6)/7
Let z = -15/2363 + -273613/77979. Let f = 46/11 + z. Find h such that -f*h - 1/6*h**2 - 2/3 = 0.
-2
Let x = 7658 + -7658. Suppose x + 4/9*f + 2/9*f**2 = 0. Calculate f.
-2, 0
Suppose 484*s = 500*s. Factor s*l - 8/5*l**2 + 0 + 16/5*l**4 + 12/5*l**5 - 4/5*l**3.
4*l**2*(l + 1)**2*(3*l - 2)/5
Let y = 92 - 90. Let h(s) be the second derivative of -s**4 + 0 - s - 1/60*s**6 + 1/5*s**5 + 8/3*s**3 - 4*s**y. Let h(q) = 0. What is q?
2
Let t(b) = -7*b**2 - 30*b - 52. Let o(g) = -6*g**2 - 30*g - 51. Let n(m) = 4*o(m) - 3*t(m). Solve n(x) = 0.
-8, -2
Let b(r) be the third derivative of r**7/210 - 2*r**6/15 + 16*r**5/15 - 63*r**2 - 2. Factor b(c).
c**2*(c - 8)**2
Let c(g) be the third derivative of -g**8/112 + 12*g**7/35 + 63*g**2. Factor c(l).
-3*l**4*(l - 24)
Suppose -2*f = 5*c, -1 = -3*c - 7. Let j be (-1)/2*(f + (-87)/15). Factor -2/5*h**2 + 4/5 - j*h.
-2*(h - 1)*(h + 2)/5
Let z be (-3)/2*(78/9 - 10). Let x(o) be the first derivative of 1/6*o**3 + 6 + 0*o + 0*o**z. Factor x(j).
j**2/2
Factor g**2 + 50*g**3 - 44*g**4 + g**2 - 27*g**2 + 30*g**3 - 10*g - g**4.
-5*g*(g - 1)**2*(9*g + 2)
Let k = 24 - 23. Let j be -3 - k/22*70/(-1). Factor -j*o**2 - 8/11*o - 8/11.
-2*(o + 2)**2/11
Suppose -2/9*q**2 - 3872/9 - 176/9*q = 0. Calculate q.
-44
Let c be (1 + 0)*24/9. Let i(v) = 2*v - 8. Let a be i(5). Suppose 8/3*q - 8/3*q**a + 0 + c*q**4 - 2/3*q**5 - 2*q**3 = 0. What is q?
-1, 0, 1, 2
Let c(d) be the first derivative of -2*d**5/105 - 9*d**4/7 + 16*d**3/9 + 18*d**2/7 - 110*d/21 - 373. Suppose c(g) = 0. Calculate g.
-55, -1, 1
Suppose -10 = -m - 5*p, -2*p + 18 = 3*m + 1. Suppose 4*a + a - m*h + 10 = 0, -2*a - 8 = -3*h. Solve 4*d**2 + 2*d**4 + d**2 - 5*d**a = 0.
0
Let k = 22 - 18. Suppose -4*p = -2*m - 16, -k*p = 3*m - 9*p + 20. Let 0*d + 2/5*d**2 + m = 0. Calculate d.
0
Let f(b) be the second derivative of 0 + 0*b**2 + 3/4*b**4 - 6*b + 1/2*b**3. Suppose f(j) = 0. Calculate j.
-1/3, 0
Let s(i) be the second