c.
2*c*(c - 2)*(3*c + 1)
Let g(z) = 7*z**4 + 15*z**3 - 49*z**2 + 33*z - 3. Let b(i) = 4*i**4 + 16*i**3 - 48*i**2 + 32*i - 2. Let v(n) = 3*b(n) - 2*g(n). Solve v(m) = 0 for m.
0, 1, 3, 5
Let q be (0 - 2) + 5 + -4 + 4. Suppose -2*p = 0, -p = 5*x - 4 - 6. Factor w**2 + 2*w**q + 1 - x*w**4 - 5/2*w + 1/2*w**5.
(w - 2)*(w - 1)**3*(w + 1)/2
Let v = -18650 - -18653. Factor v*d**3 - 6/5*d - 9/5*d**2 + 0.
3*d*(d - 1)*(5*d + 2)/5
Factor -32*g**2 + 88*g + 3*g**2 - g**3 + 121*g**2 + 5*g**3.
4*g*(g + 1)*(g + 22)
Let p = 25 - 47/2. Let n = 0 + p. Let 1/2*z**3 + 1/2 + 3/2*z**2 + n*z = 0. What is z?
-1
Let z be 2 - (3 - (10 + -7))/8. Factor 57/2*m**z + 9*m - 21/2*m**3 + 0.
-3*m*(m - 3)*(7*m + 2)/2
Let n(q) be the second derivative of 1/26*q**5 + 0 - 2/13*q**2 - 5/39*q**3 + 17*q + 1/39*q**4. Factor n(d).
2*(d - 1)*(d + 1)*(5*d + 2)/13
Let l(x) be the first derivative of -768/5*x - 16224/5*x**3 - 26364/5*x**4 - 4992/5*x**2 - 85683/25*x**5 - 41. Let l(a) = 0. What is a?
-4/13
Suppose 2*w - 10*w - 20*w = 0. Let v(r) be the second derivative of 1/30*r**6 + w*r**2 + 6*r + 0*r**3 + 0*r**4 + 1/42*r**7 + 1/80*r**5 + 0. Factor v(y).
y**3*(2*y + 1)**2/4
Let b(i) be the third derivative of -i**5/40 + 3*i**4/16 - i**3/2 - 468*i**2. Suppose b(c) = 0. Calculate c.
1, 2
Let 1370*x - 103*x**4 - 105*x**3 - 247*x**3 + 358*x + 1728 + 35*x**4 - 288*x**2 - 4*x**5 = 0. Calculate x.
-6, -1, 2
Let s(x) be the second derivative of -3*x**5/20 - x**4/4 + 4*x**3 + 18*x**2 - 47*x - 1. Solve s(j) = 0.
-2, 3
Let h be (2 - 7 - -5)*1. Let s(y) be the third derivative of 1/21*y**3 + 5*y**2 + 1/420*y**6 + 0 - 1/84*y**4 + h*y - 1/210*y**5. Suppose s(p) = 0. What is p?
-1, 1
Factor 440/3*r + 2/3*r**2 + 24200/3.
2*(r + 110)**2/3
Let s(d) = -4*d + 8. Let o be s(-4). Suppose -o = 6*w - 10*w. Determine t, given that 3 + w*t**2 - 8*t - 4*t**2 + 5 = 0.
2
Let g be (0*(-11)/(-33))/(-2). Let d(i) be the first derivative of -4*i**2 - 9 + g*i - 28/3*i**3 - 5*i**4. Factor d(r).
-4*r*(r + 1)*(5*r + 2)
Suppose 3 - 344*y + 39 - 8*y**2 + 3*y**2 + 314*y - 7 = 0. What is y?
-7, 1
Let i be 9/(100558/6028 + 4/22*-1). Determine n so that -i*n - 2/11*n**2 - 4/11 = 0.
-2, -1
Let r(p) = p**5 + 7*p**4 + 20*p**3 - 28*p**2 - 63*p - 29. Let i(u) = 2*u**5 - u**4 + u**3 + u**2 - 1. Let j(g) = 2*i(g) - r(g). Factor j(h).
3*(h - 3)**2*(h + 1)**3
Let f be (-12 - 1)*-1 + 1. Suppose -2*i - f + 18 = 0. What is k in -1/2*k**i + 0 + k = 0?
0, 2
Let j = -23 + 28. Solve 36 + 26*h - 12*h**4 + 48*h**2 + 53*h - 24*h**3 + 4*h**j + 5*h - 8*h**2 = 0 for h.
-1, 3
Let b(j) be the second derivative of -j**6/36 + j**5/60 + 5*j**4/8 - j**3/2 - 11*j. Find t, given that b(t) = 0.
-3, 0, 2/5, 3
Factor 2400*x**2 + 66*x**4 + 3/2*x**5 + 0 + 0*x + 840*x**3.
3*x**2*(x + 4)*(x + 20)**2/2
Let u(h) = -5*h**3 - 55*h**2 + 127*h - 96. Let v(x) = -52*x + 10*x + 18*x**2 + 32 + 73*x**3 - 71*x**3. Let q(b) = -6*u(b) - 17*v(b). Solve q(y) = 0 for y.
2
Let f(u) be the first derivative of -u**5/20 - u**4/4 - u**3/2 - u**2/2 - 14*u - 15. Let h(j) be the first derivative of f(j). Find l such that h(l) = 0.
-1
Find s such that 69/7*s - 60/7*s**2 + 18 - 3/7*s**3 = 0.
-21, -1, 2
Let k(r) be the first derivative of -r**4/4 - 16*r**3/9 - 2*r**2 + 16*r/3 + 38. Solve k(b) = 0 for b.
-4, -2, 2/3
Let u = 131/76 - -1/38. Let t(d) be the second derivative of -8*d**3 + 6*d**2 + 3*d + 0 + u*d**4. Factor t(m).
3*(m - 2)*(7*m - 2)
Let q be -25*8/(-240) - (-2)/(-12). Let g(y) be the second derivative of q*y**2 + 0 - 3*y - 2/9*y**3 + 1/36*y**4. Factor g(k).
(k - 2)**2/3
Let k be (9/(-1) + 7)*(-3)/2. Let o(a) be the first derivative of -2/5*a - 2/15*a**3 + k - 2/5*a**2. Solve o(q) = 0 for q.
-1
Let k(j) = -20*j**3 - 2*j**2 - 2*j - 1. Let w be k(-1). Suppose 5*x + q - 7 = w, 3*x = -2*q + 17. Solve 0 + 0*a + 2/3*a**4 + 1/3*a**3 - 1/3*a**x - 2/3*a**2 = 0.
-1, 0, 1, 2
Let m be 21/10 + 9/(-15). Let p be ((-18)/8)/((-93)/310). Determine b so that 0 - m*b**4 - p*b**2 + 3*b + 6*b**3 = 0.
0, 1, 2
Let l(a) be the first derivative of 9*a**4/7 + 44*a**3/21 + 4*a**2/7 - 8. Factor l(j).
4*j*(j + 1)*(9*j + 2)/7
Let o(n) = -10*n**5 + 4*n**4 + 15*n**3 - 18*n**2 - 3*n - 9. Let p(i) = i**5 - i**3 + 2*i + 1. Let u(f) = 5*o(f) + 35*p(f). Let u(h) = 0. What is h?
-2, 1/3, 1
Let n = -4037/6 - -671. Let g = 13/42 - n. Determine f so that -g*f**4 + 3/7*f**3 - 9/7*f**5 + 15/7*f**2 + 0 + 6/7*f = 0.
-1, -2/3, 0, 1
Let t(o) be the first derivative of 22 - 4/9*o + 8/27*o**3 + 7/9*o**2. Suppose t(h) = 0. Calculate h.
-2, 1/4
Let p(r) = -1. Let x(a) = -4*a**3 + 16*a**2 + 12*a - 76. Let h(i) = -4*p(i) + x(i). Factor h(v).
-4*(v - 3)**2*(v + 2)
Let u be (0/(-8 + (-8 - (3 - 24))))/1. Suppose u*s**2 + 0*s + 0 - 1/3*s**3 = 0. What is s?
0
Let b(k) be the first derivative of -k**3/3 + 5*k**2/2 - 4*k - 3. Let x be b(3). Factor -5*y**x + 19*y - 3*y**3 - 20*y - y**3.
-y*(y + 1)*(4*y + 1)
Let a(t) = -11*t**3 - 86*t**2 - 241*t - 156. Let j(r) = 5*r**3 + 44*r**2 + 121*r + 78. Let s(u) = 2*a(u) + 5*j(u). Factor s(g).
3*(g + 1)*(g + 2)*(g + 13)
Let b(o) = 2*o**2 - 3*o + 1. Let x(n) be the third derivative of n**5/60 - n**4/24 - 7*n**2. Let s(z) = -4*b(z) + 4*x(z). Let s(t) = 0. What is t?
1
Let y(g) be the third derivative of 0*g - 7/30*g**5 - 1/21*g**7 + 3/20*g**6 + 1/168*g**8 + 0 + 1/6*g**4 + 0*g**3 + 15*g**2. Determine i so that y(i) = 0.
0, 1, 2
Let n(y) be the first derivative of y**4/4 + 13*y**3/3 + 24*y**2 + 36*y - 115. Factor n(q).
(q + 1)*(q + 6)**2
Let a(f) be the second derivative of 1/90*f**5 + 1/3*f**3 + 0 + 0*f**2 - 1/9*f**4 - 17*f. Determine h so that a(h) = 0.
0, 3
Let a(x) be the first derivative of -x**6/2 - 27*x**5/5 - 27*x**4/2 - 182. Factor a(i).
-3*i**3*(i + 3)*(i + 6)
Let h(s) be the first derivative of -5*s**7/42 + 3*s**5/4 - 5*s**4/6 - 17*s - 14. Let n(a) be the first derivative of h(a). Factor n(x).
-5*x**2*(x - 1)**2*(x + 2)
Suppose c - 3 = -4*g - 4*c, -2*g = 3*c - 1. Factor u**2 + 5*u - 2*u**g - 50*u - 4*u**2.
-5*u*(u + 9)
Let d(w) be the second derivative of -7*w**4/20 - 17*w**3/6 - 2*w**2/5 + 19*w - 13. Factor d(i).
-(i + 4)*(21*i + 1)/5
Suppose -192 = -58*b - 76. Factor 4*g + 10 + 2/5*g**b.
2*(g + 5)**2/5
Let a(x) be the second derivative of 5*x**6/2 - 39*x**5/2 + x**4 + 57*x**3 - 135*x**2/2 + 3*x - 28. Factor a(j).
3*(j - 5)*(j + 1)*(5*j - 3)**2
Let x be (10/21)/((-30)/(-140)) + 20/(-90). Find s, given that -2/11 + 4/11*s - 2/11*s**x = 0.
1
Let u be (-4)/16 + (0 - (-105)/516). Let m = 80/129 - u. Solve -4/9*z**2 - 2/9*z**5 - m*z + 0*z**4 + 8/9*z**3 + 4/9 = 0 for z.
-2, -1, 1
Let c(s) = -8*s**3 + 10*s**2 - 8*s - 6. Suppose -10*p - 44 = 6. Let u(v) = -7*v**3 + 9*v**2 - 7*v - 5. Let t(x) = p*c(x) + 6*u(x). Factor t(l).
-2*l*(l - 1)**2
Find h such that 56/9*h + 4/9 + 196/9*h**2 = 0.
-1/7
Let n = -6959 + 6962. Factor 3/4*u**4 + 0*u + 27/2*u**2 - 81/4 - 6*u**n.
3*(u - 3)**3*(u + 1)/4
Let k(w) = -4*w - 4. Let b be k(-2). Factor 280*q**5 + 16*q**3 - 3*q - 14 - 13*q - 279*q**5 - 2 + 8*q**2 + 7*q**b.
(q - 1)*(q + 2)**4
Let p(h) be the first derivative of h**3 + 3*h**2 - 45*h + 38. Factor p(l).
3*(l - 3)*(l + 5)
Let s = 0 - -2. Let a be -6 + 5/(25/40). Determine c so that 2*c**a + 2*c**2 + s*c**2 - 2*c - c = 0.
0, 1/2
Let o = -60091/6 - -10016. Factor -5/6*a**3 + 5/6*a**2 - o + 5/6*a.
-5*(a - 1)**2*(a + 1)/6
Factor 0 - 35/8*f**3 + 1/2*f**2 + 1/2*f.
-f*(5*f - 2)*(7*f + 2)/8
Let l = -2333/14 - -1170/7. Let z(v) be the first derivative of -v**2 + 0*v - 1/3*v**3 + 1/5*v**5 + l*v**4 - 1. Find p, given that z(p) = 0.
-2, -1, 0, 1
Let n(v) = -6*v**2 - 5*v - 4. Let c = -7 + 12. Let h = 422 - 428. Let q(z) = -7*z**2 - 6*z - 5. Let y(j) = c*q(j) + h*n(j). Solve y(l) = 0 for l.
-1, 1
Let 1/2*u**5 + 9/2*u**4 - 9*u - 29/2*u**2 + 0 - 3/2*u**3 = 0. What is u?
-9, -1, 0, 2
Let o = 17 - 15. What is i in -64 + 9*i + 3*i**o + 6*i - 4*i**2 + i = 0?
8
Suppose 269/2*z**2 - 261/2*z**3 + 2 - 81/2*z**4 + 69/2*z = 0. Calculate z.
-4, -1/9, 1
Let -16/17 + 4/17*w**2 - 2/17*w**5 + 14/17*w**3 - 24/17*w + 0*w**4 = 0. What is w?
-2, -1, 2
Let k(y) be the first derivative of y**5 + 5*y**4/4 - 280*y**3/3 - 525. Factor k(x).
5*x**2*(x - 7)*(x + 8)
Let o(l) = 70*l**5 - 170*l**4 + 135*l**3 + 25*l. Let j(p) = 17*p**5 - 42*p**4 + 34*p**3 + 6*p. Let g(s) = 25*j(s) - 6*o(s). Suppose g(v) = 0. What is v?
0, 2, 4
Let r be 6/2 + (-80)/(-30) + (-187)/