28*a**2 - 16*a + 9. Let l(f) = -18*c(f) - 2*q(f). Find n such that l(n) = 0.
0, 2/227
Suppose -3*f = -4*k - 1, 4*k - 7*f + 2*f = -7. Suppose -3*v - k*v = 3*v. Factor v + 5/2*n**2 + 5/2*n.
5*n*(n + 1)/2
Let c = 3007 - 57168/19. Let j = c - -264/133. What is p in 0 - 6/7*p**2 - 9/7*p**3 - j*p - 4/7*p**4 = 0?
-1, -1/4, 0
Let s = 1604310 - 1604305. Find d, given that d**3 - 2/3*d**2 + 8/3*d**4 + d**s + 0*d + 0 = 0.
-2, -1, 0, 1/3
Let t be ((-125)/(-36 + 11))/(3 - 2 - 0). Let y(m) be the second derivative of -15*m + 3/40*m**t + 0 + 0*m**2 + 0*m**3 - 1/8*m**4. Determine h so that y(h) = 0.
0, 1
Let v = 137 - 130. Let h(k) = 12*k**2 + 151*k + 118. Let c(f) = 4*f**2 + 50*f + 40. Let g(t) = v*c(t) - 2*h(t). Factor g(q).
4*(q + 1)*(q + 11)
Let k be 1*(13 - 1) + (10 - 13). Suppose 2*g - 51 = -k. Factor -24*c**2 + 60*c - g*c**2 + 17*c**2 + 4*c**3 - 36.
4*(c - 3)**2*(c - 1)
Suppose 4*o = 3*o + 3. Suppose o*l - 20 = -l + 4*d, -5*l + 2*d + 19 = 0. Solve 54*u**l - 120*u - 9 - 152*u**3 - 252*u**2 + 7 - 14 = 0 for u.
-2, -2/7
Let g(b) = -5*b**3 - 20*b**2 + 60*b. Let l(d) = -d**3 - 35499 - 4*d**2 + 12*d + 35499. Let p(z) = -2*g(z) + 11*l(z). Determine n, given that p(n) = 0.
-6, 0, 2
Factor 0 - 29/3*f**3 - 13/3*f**4 - f - 19/3*f**2.
-f*(f + 1)**2*(13*f + 3)/3
Let u(j) be the second derivative of 65*j**4/108 - 4*j**3/9 - 10*j**2/9 + 1485*j. Determine l so that u(l) = 0.
-2/5, 10/13
Suppose -1522*c = -1525*c - 5*v + 90, -18 = -2*c - v. Let c*g**2 + 4/5*g**3 + 0*g - 3/5*g**4 - 1/5*g**5 + 0 = 0. Calculate g.
-4, 0, 1
Factor 255*c**2 + 116057*c**3 - 2*c**4 - 116135*c**3 - 5 + 5 - c**4 - 174*c.
-3*c*(c - 2)*(c - 1)*(c + 29)
Let r(n) be the first derivative of -2*n**3/15 - 9*n**2/5 + 144*n - 1711. Factor r(o).
-2*(o - 15)*(o + 24)/5
Let i = 371 - 361. Determine h, given that i*h**3 - 4*h**2 + 3*h - 17*h - 3*h - 2*h**4 + h = 0.
-1, 0, 2, 4
Suppose 0 + 162/7*v + 2/7*v**2 = 0. Calculate v.
-81, 0
Let h(i) be the second derivative of -3*i**6/50 + 183*i**5/100 - 39*i**4/2 + 342*i**3/5 + 972*i**2/5 + 5*i - 134. What is k in h(k) = 0?
-2/3, 6, 9
Let s(x) be the first derivative of 8*x - 4*x**4 + 2/3*x**6 + 16 + 12*x**2 + 10/3*x**3 - 6/5*x**5. Determine o, given that s(o) = 0.
-1, -1/2, 2
Let w be (-1696)/(-192) + 2/12. Let h(v) be the third derivative of -1/15*v**6 - 2/105*v**7 + 0*v**5 + 0*v + 1/3*v**4 + 0 + w*v**2 + 2/3*v**3. Factor h(f).
-4*(f - 1)*(f + 1)**3
Let i = 32633 + -32629. Factor 1/2*k**2 - i - 7/2*k.
(k - 8)*(k + 1)/2
Let c(r) be the first derivative of r**5/20 + 7*r**4/8 + 3*r**3 + 51*r**2 - 165. Let s(b) be the second derivative of c(b). Solve s(a) = 0 for a.
-6, -1
Let 3/4*y**2 + 705/2 + 1413/4*y = 0. Calculate y.
-470, -1
Let v = 28806 - 28806. Factor 2/9*y**3 + v*y - 2/9*y**2 + 0 + 4/9*y**4.
2*y**2*(y + 1)*(2*y - 1)/9
Suppose 3*u = 3*a - 384, a - u = 6*a - 628. Let o = 1263/10 - a. Find m, given that -1/10*m**5 - 6/5*m**3 + 3/5*m**4 - o*m + m**2 + 0 = 0.
0, 1, 3
Let g be 1/(-3) - 14/(-18). Let u be ((-372)/1302)/((-9)/7). Let 2/9*p**2 + g*p - u*p**3 + 0 = 0. Calculate p.
-1, 0, 2
Let g(y) be the first derivative of 3*y**6 + 22*y**5/5 - 7*y**4/2 - 22*y**3/3 - 2*y**2 - 147. Suppose g(c) = 0. Calculate c.
-1, -2/9, 0, 1
Let v(s) = -s**2 - 9*s - 32. Let q be v(-6). Let o be 3/(-21) - 58/q. Find y such that 3/5*y**2 + 0*y - 3*y**3 + 12/5*y**o + 0 = 0.
0, 1/4, 1
Let g(z) be the second derivative of 4*z**6/45 - 23*z**5/30 - 5*z**4/9 + 119*z**3/9 + 10*z**2 - 2180*z. Find t, given that g(t) = 0.
-2, -1/4, 3, 5
Suppose -1660*p - 3325/2 + 5/2*p**2 = 0. Calculate p.
-1, 665
Let f(r) = -22*r**3 + 3246*r**2 - 212210*r - 437390. Let q(x) = -7*x**3 + 1081*x**2 - 70737*x - 145797. Let z(v) = -3*f(v) + 10*q(v). Factor z(l).
-4*(l - 135)**2*(l + 2)
Let u(z) be the third derivative of -2*z**2 + 196/9*z**3 - 3/10*z**5 - 14/3*z**4 - 7 + 0*z - 1/180*z**6. Factor u(k).
-2*(k - 1)*(k + 14)**2/3
Let r(u) be the third derivative of u**6/40 + u**5/4 - 14*u**4 - 352*u**3 - 1867*u**2. Factor r(a).
3*(a - 11)*(a + 8)**2
Find j such that -50/7*j + 7*j**3 + 13/7*j**2 + 1/7*j**5 + 19/7*j**4 - 32/7 = 0.
-16, -2, -1, 1
Let -142 + 425/2*h + 3/4*h**2 = 0. Calculate h.
-284, 2/3
Let v be (10/(-6))/((-484)/(-48) + -10). Let w be 17/(-68) - 5/v. Suppose -b**3 + w*b + 0 + 1/4*b**4 + 3/4*b**2 = 0. What is b?
0, 1, 3
Suppose -45429512/9 - 2/9*p**2 - 19064/9*p = 0. Calculate p.
-4766
Let l(h) be the third derivative of 9/8*h**3 + 3/8*h**4 - 2*h + 0 + 1/280*h**7 - 1/40*h**5 - 8*h**2 - 1/40*h**6. Factor l(u).
3*(u - 3)**2*(u + 1)**2/4
Let v = -1973 + 1975. Let q(b) be the first derivative of 1/4*b**5 - 5/8*b**4 + 5/6*b**3 + 1/4*b - 5/8*b**v + 2 - 1/24*b**6. Let q(a) = 0. Calculate a.
1
Let i(m) be the third derivative of 0*m - 2/9*m**3 + 1/630*m**7 - 1/90*m**6 - 2 + 1/60*m**5 + 9*m**2 + 1/18*m**4. Factor i(v).
(v - 2)**2*(v - 1)*(v + 1)/3
Factor 48/11*t**2 + 2/11*t**3 + 180/11 + 226/11*t.
2*(t + 1)*(t + 5)*(t + 18)/11
Suppose 0 = 5*t - 42 + 12. Let o be (t/5)/(12/40). Solve 47*q**4 - q**5 + 4*q**5 - 44*q**o = 0 for q.
-1, 0
Let m(u) be the third derivative of -u**7/1400 - u**6/75 + u**5/10 - 107*u**3/3 - 126*u**2. Let k(c) be the first derivative of m(c). Factor k(j).
-3*j*(j - 2)*(j + 10)/5
Let o = -23377066/19 + 1230372. Factor -4 - o*i**2 + 42/19*i.
-2*(i - 19)*(i - 2)/19
Let o(c) be the second derivative of c**3/6 + 4*c**2 + 9*c. Let i be o(-3). What is w in 25*w**2 + 40*w + 13 - i + 5*w**3 + 12 = 0?
-2, -1
Let x(d) be the first derivative of 4*d - 7/9*d**3 - 4 - 2/3*d**2 - 4/9*d**4 - 1/10*d**5. Let j(m) be the first derivative of x(m). Factor j(a).
-2*(a + 1)**2*(3*a + 2)/3
Let j(u) be the first derivative of 180*u - 30*u**2 + 31 + 5/3*u**3. Suppose j(g) = 0. Calculate g.
6
Let u(i) be the first derivative of i**6/42 - 4*i**4/7 - 38*i**3/21 - 33*i**2/14 - 10*i/7 - 1345. Factor u(h).
(h - 5)*(h + 1)**3*(h + 2)/7
Let m be 24/(-18) - (2 - 101/30). Let a(n) be the second derivative of 1/135*n**6 + 3*n + 0*n**2 + 1/27*n**4 + 0*n**3 - m*n**5 + 0. Factor a(s).
2*s**2*(s - 2)*(s - 1)/9
Let y(r) be the first derivative of 0*r**2 - 4/5*r**5 - 32/3*r**3 - 9*r**4 + 70 + 0*r. Factor y(i).
-4*i**2*(i + 1)*(i + 8)
Let b(o) be the second derivative of -o**6/1620 + o**5/54 - 25*o**4/108 + 32*o**3/3 + 13*o + 3. Let c(u) be the second derivative of b(u). Factor c(i).
-2*(i - 5)**2/9
Let b(i) = i**3 - 20*i**2 + 82*i - 103. Let w be b(15). Factor 4/7*t**w - 2/7*t**5 + 0*t + 0*t**4 + 0 + 6/7*t**3.
-2*t**2*(t - 2)*(t + 1)**2/7
Let f(i) = -i**2 + 7*i - 8. Let j be f(5). Suppose 3*x - 4 = x - j*p, x - p - 6 = 0. Factor 12*r**3 - 15*r**3 - 6*r**x - 3*r**2 + 6*r**2.
-3*r**2*(r + 1)*(2*r - 1)
Suppose -3*u - 104 = -6*u + 4*o, u = o + 33. Suppose 22 + u = 10*v. What is s in -21*s**5 + 3*s**2 + 14*s**3 + v*s**2 + 4*s**4 + 19*s**5 = 0?
-1, 0, 4
Let f(y) = 2*y**2 - 35*y - 1332. Let w be f(36). Factor w*q + 3/4*q**2 - 3/4.
3*(q - 1)*(q + 1)/4
Let x(t) be the first derivative of -2*t**3/57 - 3370*t**2/19 - 5678450*t/19 + 6066. Factor x(z).
-2*(z + 1685)**2/19
Determine a, given that 65*a**3 - 4 - 5101*a**2 - 60*a - 5185*a**2 + 0 + 10187*a**2 = 0.
-2/5, -1/13, 2
Let i(z) = -3*z**2 + 4. Let c(q) = 43*q**2 + 188*q - 652. Let v(u) = c(u) + 13*i(u). Factor v(y).
4*(y - 3)*(y + 50)
Let n(g) = g**3 + 27*g**2 - 32*g - 858. Let w be n(-27). Find m, given that 0 + 3/8*m**2 + w*m = 0.
-16, 0
Suppose 9*o + 26 + 16 = 23*o. Let x(t) be the third derivative of 0 - 1/12*t**4 - 2/135*t**5 + 0*t - 2/27*t**o - 20*t**2. Factor x(f).
-2*(f + 2)*(4*f + 1)/9
Let u(j) = 4*j**3 + 38*j**2 - 39*j - 405. Let i(c) = 15*c**3 + 155*c**2 - 155*c - 1615. Let k(g) = 9*i(g) - 35*u(g). Determine b, given that k(b) = 0.
-2, 3, 12
Determine y so that -21/4*y**5 + 237/4*y**4 - 129*y + 21 + 975/4*y**2 - 759/4*y**3 = 0.
2/7, 1, 2, 7
Let l(j) be the first derivative of j**3/21 + 39*j**2/7 + 11*j + 322. Factor l(h).
(h + 1)*(h + 77)/7
Let m(v) be the second derivative of -1 + 4*v - 1/120*v**5 + 1/180*v**6 + 0*v**2 - 1/36*v**4 + 0*v**3. Factor m(d).
d**2*(d - 2)*(d + 1)/6
Let q(n) be the first derivative of -24*n**2 + 116/3*n**3 - 80 + 12*n**4 - 112*n - 4/5*n**5. Determine m, given that q(m) = 0.
-2, -1, 1, 14
Let l(f) = -f**4 - 5*f**3 - 6*f**2 + 5*f + 10. Let v(q) = q**4 + 6*q**3 + 8*q**2 - 6*q - 12. Let w(o) = -6*l(o) - 5*v(o). Solve w(x) = 0 for x.
-2, 0, 2
Solve 36/5