i) = 0.
-3, 0, 2/3, 1
Suppose -z - 3*t + 144 = 4*z, 3*z - 96 = 3*t. Suppose z = 5*r + 10. Factor -r*a**2 - 2*a + 26 - 22 - 3*a**3 + 5*a**3.
2*(a - 2)*(a - 1)*(a + 1)
Let z(q) be the first derivative of 0*q - q**5 - 5/3*q**3 - 15*q**2 - 194 + 5*q**4. Solve z(o) = 0 for o.
-1, 0, 2, 3
Let d(z) be the third derivative of z**5/30 - 49*z**4/16 - 37*z**3/12 + 472*z**2. Suppose d(g) = 0. Calculate g.
-1/4, 37
Let x(f) be the second derivative of -8*f**6/15 - 67*f**5/5 - 69*f**4 - 304*f**3/3 + 104*f**2 + 9*f + 104. What is o in x(o) = 0?
-13, -2, 1/4
Suppose -38/7*b**3 + 0*b - 2/7*b**4 - 96/7*b**2 + 0 = 0. Calculate b.
-16, -3, 0
Let c(v) be the first derivative of v**6/2 - 18*v**5/5 - 18*v**4 + 46*v**3 + 405*v**2/2 + 216*v - 10812. Determine o, given that c(o) = 0.
-3, -1, 3, 8
Let m(t) = 0*t**5 - 400*t**4 + 6 + 9*t**5 + 394*t**4 - 6*t - 3*t**3. Let x(c) = c**5 - c**3 - c + 1. Let z(y) = -m(y) + 6*x(y). Find d, given that z(d) = 0.
0, 1
Let r(p) = -3*p**2 - 354*p - 369. Let k(f) = -6*f**2 - 710*f - 743. Let b(s) = -6*k(s) + 13*r(s). Factor b(c).
-3*(c + 1)*(c + 113)
Let f(i) = -21*i - 78. Let y be f(-9). Factor y - 298 - 31*a**2 - 34*a**2 + 15*a**3 - 140*a + 127.
5*(a - 6)*(a + 1)*(3*a + 2)
Let l(d) be the first derivative of -3/4*d**4 + 0*d**2 + 3*d**3 - 71 - 9/5*d**5 + 0*d + 1/2*d**6. Find r such that l(r) = 0.
-1, 0, 1, 3
Let 638*t**2 - 32/9*t**4 - 2158/9*t + 80/3 - 1264/3*t**3 = 0. What is t?
-120, 1/4, 1
Let c(q) = -9*q**2 + 3177*q + 3168. Let y(r) = -r**2 - 2*r - 4. Let d(f) = -c(f) + 6*y(f). Factor d(z).
3*(z - 1064)*(z + 1)
Let p be (-1739)/(-1480) - (-7)/(-6). Let l(x) be the third derivative of 0 - 1/720*x**6 - 1/48*x**4 - 1/36*x**3 - x**2 - p*x**5 + 0*x. Factor l(t).
-(t + 1)**3/6
Let z = -93555 - -280669/3. What is d in 106/3*d - 224/3*d**2 + z + 38*d**3 = 0?
-2/57, 1
Suppose -4*h + 0*h = -5*y - 12, 4*h - 12 = -y. Solve 3*t**h + 7*t**2 - 5*t**3 + 144 - 23*t + 13*t**2 + 6*t**3 - 105*t = 0 for t.
-9, 2
Suppose -16 = -47*w + 45*w. Factor -w*f**3 + f**4 + 4 - 371*f**2 + 368*f**2 + 4*f + 6*f**3.
(f - 2)**2*(f + 1)**2
Let q(x) be the first derivative of -x**4/2 - 262*x**3/3 - 4480*x**2 - 24576*x - 2162. Factor q(m).
-2*(m + 3)*(m + 64)**2
What is q in -189/8 - 3/4*q + 3/8*q**2 = 0?
-7, 9
Let h(z) be the second derivative of -z**4/3 + 4*z**3 - 10*z**2 - 1201*z - 2. Factor h(y).
-4*(y - 5)*(y - 1)
Let y(h) = 50*h**3 - 703*h**2 - 114*h + 13. Let v(b) = 25*b**3 - 351*b**2 - 58*b + 6. Let l(n) = 13*v(n) - 6*y(n). Factor l(c).
5*c*(c - 14)*(5*c + 1)
Let r(b) be the first derivative of 3*b**4/4 - 58*b**3/5 + 204*b**2/5 + 192*b/5 - 1384. Determine m so that r(m) = 0.
-2/5, 4, 8
Suppose 8*x + 168 = 184. Let k be (0/9*x/(-4))/(-1). Solve 4/3*y - 14*y**2 + 38/3*y**3 + k = 0.
0, 2/19, 1
Let a = -22399/21 - -1067. Let m(v) be the third derivative of 0*v - 1/14*v**4 + v**2 - a*v**3 + 0 + 1/105*v**5. Find n such that m(n) = 0.
-1, 4
Solve -1377*c**2 + 1375*c**2 - 1 + 1 - 328*c = 0.
-164, 0
Let s(a) = 2*a**3 + 16*a**2 - 16*a + 20. Let i be s(-9). Let -9*v**2 + 8*v**2 + 0*v**3 - i*v + v**3 = 0. What is v?
-1, 0, 2
Let z(x) be the first derivative of -65 - 1/28*x**4 + 1/14*x**2 - 1/7*x + 1/21*x**3. Find u such that z(u) = 0.
-1, 1
Let z be ((-315)/3570)/(15/(-340)). Factor -3/5 - 9/5*t**2 - z*t - 2/5*t**3.
-(t + 1)*(t + 3)*(2*t + 1)/5
Let n(r) = 5*r**5 - 4*r**4 + 6*r**3 + 22*r**2 - 17*r - 6. Let a(m) = -m**5 - m**4 + m**3 - 2*m**2 + m + 1. Let s(i) = 6*a(i) + n(i). Find h such that s(h) = 0.
-11, -1, 0, 1
Let i(q) = 5*q**2 - q + 2. Let p = -71 - -74. Let r(x) = -5 - 3*x + 7*x + x - p*x - 14*x**2. Let a(j) = -17*i(j) - 6*r(j). Solve a(o) = 0.
1, 4
Factor 298/3*d**2 + 1/3*d**4 + 16*d**3 + 152*d + 205/3.
(d + 1)**2*(d + 5)*(d + 41)/3
Let i(k) be the third derivative of k**6/320 - 3*k**5/32 - 37*k**4/64 + 51*k**3/16 + 3759*k**2. Factor i(p).
3*(p - 17)*(p - 1)*(p + 3)/8
Let a = -708/517 - -7024/3619. Solve a - 10/7*x**3 + 32/7*x**2 - 26/7*x = 0 for x.
1/5, 1, 2
Solve -169/2*q**3 - 210*q - 16 - 702*q**2 = 0 for q.
-8, -2/13
Let h(f) be the first derivative of 105/2*f**3 + 270*f + 1/4*f**5 - 95/16*f**4 + 6 - 405/2*f**2. Determine k so that h(k) = 0.
1, 6
Let z(v) be the first derivative of 53/2*v**4 + 2*v**5 - 20*v**2 + 0*v - 169 + 56/3*v**3. Factor z(j).
2*j*(j + 1)*(j + 10)*(5*j - 2)
Let h(y) be the second derivative of 169*y**7/42 + 221*y**6/6 + 2583*y**5/20 + 2827*y**4/12 + 740*y**3/3 + 150*y**2 + 7054*y. Suppose h(t) = 0. Calculate t.
-3, -1, -10/13
Let c(p) = -347*p**2 + 727*p + 33847. Let q(d) = -77*d**2 + 182*d + 8462. Let s(o) = -4*c(o) + 18*q(o). Factor s(t).
2*(t + 92)**2
Let h = -6 + 8. Suppose -11*z = 1456 - 1478. Solve -8/5*n**3 - z*n**h + 0 - 4/5*n - 2/5*n**4 = 0 for n.
-2, -1, 0
Let y be 15*6/(-54)*(-24)/20. Let h(v) be the second derivative of 4*v + 0 + 5/12*v**4 - 15/2*v**y + 5/3*v**3. Factor h(t).
5*(t - 1)*(t + 3)
Let q(d) be the second derivative of 94/105*d**6 - 44/21*d**3 + 13/21*d**4 + 0*d**2 + 87/35*d**5 - d - 10/147*d**7 - 4. Suppose q(p) = 0. Calculate p.
-1, 0, 2/5, 11
Let n be ((-11736)/(-215160))/((-2)/(-80)*2). What is s in -14/11*s**3 - n*s**2 + 14/11*s + 8/11 + 4/11*s**4 = 0?
-1, -1/2, 1, 4
Let t be (-1096)/(-140)*98/(-273). Let p = -16/39 - t. Factor -18/5 - 2/5*c**2 + p*c.
-2*(c - 3)**2/5
Determine k so that 17280*k - 1728*k**2 - 6963*k**2 - 55*k**4 - 4825 + 5*k**5 + 1785*k**3 + 321*k**2 - 105*k**4 - 8135 = 0.
2, 3, 12
Let k(z) = -2*z**2 - 63*z - 177. Let w = 2 + -4. Let j(h) = 330 - 127 + 18 + 62*h - 23 - 20 + 3*h**2. Let c(q) = w*k(q) - 3*j(q). Solve c(t) = 0 for t.
-6
Suppose -52896*x + 3*x**5 + 34656 + 1374*x**2 - 456*x**4 + 504*x**3 + 12964*x**3 + 3851*x**3 = 0. What is x?
-2, 1, 76
Let n(g) be the first derivative of g**4/10 + 116*g**3/5 + 341*g**2/5 - 1032*g/5 - 3703. Factor n(u).
2*(u - 1)*(u + 3)*(u + 172)/5
Let r(n) = -269*n**3 + 5 + 268*n**3 - 1 - 3*n. Let u(q) = q**3 - 2*q**2 + q. Let h(v) = r(v) + 2*u(v). Factor h(c).
(c - 4)*(c - 1)*(c + 1)
Let l = 2/6045 - -6041/12090. Factor -2/3*o - 1/3*o**4 - 1/6*o**5 + 0 + l*o**3 + 2/3*o**2.
-o*(o - 1)**2*(o + 2)**2/6
Let o = -27557/316 - -6909/79. Factor k - o*k**2 + 0.
-k*(k - 4)/4
Suppose -3*z - 20 = -4*k, -5*z - 5*k + 38 = 13. Let g(b) be the first derivative of 3/10*b**2 + 20 + z*b + 1/5*b**3. Factor g(q).
3*q*(q + 1)/5
Let n(u) be the first derivative of u**4/18 - 5*u**3/9 + 4*u**2/3 - 172*u + 164. Let j(r) be the first derivative of n(r). Factor j(d).
2*(d - 4)*(d - 1)/3
Let v(p) be the third derivative of p**5/330 - p**4/6 + 7*p**3/11 + 1574*p**2. Factor v(h).
2*(h - 21)*(h - 1)/11
Let v(k) be the third derivative of -k**7/5040 - k**6/1440 + k**5/40 - 37*k**4/24 - 3*k**2 + 4. Let j(n) be the second derivative of v(n). Solve j(u) = 0.
-3, 2
Let u(v) be the first derivative of -v**8/560 - v**7/280 + 2*v**3/3 - 9*v + 14. Let i(b) be the third derivative of u(b). Factor i(q).
-3*q**3*(q + 1)
Let j = -15295 - -15297. Factor -1/2*y**j + 0*y + 2.
-(y - 2)*(y + 2)/2
Let i(k) be the third derivative of -k**6/160 - 11*k**5/80 + k**4/32 + 11*k**3/8 + 12*k**2 + 44. What is y in i(y) = 0?
-11, -1, 1
Let o(u) = -u**3 - 24*u**2 - 49*u + 298. Let a be o(-21). Let q(y) be the third derivative of -1/30*y**5 + 0*y + 1/6*y**a + 0 + y**3 + 14*y**2. Factor q(v).
-2*(v - 3)*(v + 1)
Suppose 2*o - 11*o = -351. Let y = o - 36. Let 25*l**3 + 68*l - 20 - 36*l**2 - 49*l**2 + 12*l + 0*l**y = 0. What is l?
2/5, 1, 2
Let d(n) be the second derivative of -5/4*n**5 + 10*n**2 + 5/4*n**4 + 13*n + 10*n**3 + 1. Factor d(w).
-5*(w - 2)*(w + 1)*(5*w + 2)
Let d(l) be the first derivative of 2*l**5/15 - 41*l**4/6 - 94*l**3/3 + 123*l**2 + 792*l + 1488. Determine m so that d(m) = 0.
-3, 3, 44
Suppose 28417 = -5*c + 5*q + 28427, 3*c = 4*q + 5. Factor -14/3*y**c - 80/3*y + 284/3*y**2 + 0.
-2*y*(y - 20)*(7*y - 2)/3
Let m(u) = 240*u**4 - 1204*u**3 + 1820*u**2 - 1000*u + 208. Let j(t) = t**5 - t**4 + 2*t**3 + t + 1. Let f(l) = -16*j(l) + m(l). Find r such that f(r) = 0.
1/2, 1, 6, 8
Let y be 6358/55 + (-6)/10. Factor 103*x**2 - y*x**2 + 358*x**4 + 16*x**3 - 56*x - 354*x**4 - 32.
4*(x - 2)*(x + 1)**2*(x + 4)
Let b be 4 + 12 - 32 - -20. Let q(j) be the second derivative of 8/15*j**6 - j**b + 0 - 2*j**2 + 2/5*j**5 + 2*j + 1/7*j**7 - 7/3*j**3. Factor q(o).
2*(o - 1)*(o + 1)**3*(3*o + 2)
Let u(z) be the first derivative o