hird derivative of h(l). Factor i(q).
-2*(q - 1)*(5*q - 3)/7
Suppose 53*k = 61*k - 1056. What is p in 3 - 30 + 5*p**3 - 9 - 11*p**3 - 15*p**2 - 15*p**3 + k*p = 0?
-3, 2/7, 2
Let h(v) = -11*v - 48. Let t be h(-5). What is c in 40*c**4 - t*c**2 + 8*c**3 - 5*c**2 - 36*c**4 = 0?
-3, 0, 1
Let q be 0/(50/(-5) - -9). Let g(l) be the first derivative of 3 + 2/9*l**3 + q*l + 0*l**2. Let g(w) = 0. What is w?
0
Let u(f) be the second derivative of -95*f + 5/36*f**4 + 0 + 25/18*f**3 + 0*f**2. Factor u(v).
5*v*(v + 5)/3
Let x be 7 - 6/4*2. Suppose -5*v = -8*z + x*z + 7, 4*z + 4*v = 16. Find r such that 2/5 - 2/5*r**2 - 1/5*r**z + 1/5*r = 0.
-2, -1, 1
Let h(f) be the second derivative of -f**4/20 + 44*f**3/5 - 261*f**2/10 - 2*f + 328. Factor h(y).
-3*(y - 87)*(y - 1)/5
Let m = -2211 - -19907/9. Let i(w) be the third derivative of -1/90*w**6 + 2/45*w**5 + 0 + 7/18*w**4 + 0*w + m*w**3 - 11*w**2. Factor i(f).
-4*(f - 4)*(f + 1)**2/3
Let s be 2/(-6) - (1183/231 - 6). Let k(i) be the first derivative of 14/33*i**3 - 1/11*i**2 - s*i + 5/22*i**4 - 2. Find f, given that k(f) = 0.
-1, 3/5
Let l(i) be the first derivative of 2*i**6/21 - 288*i**5/35 - 148*i**4/7 - 8*i**3/21 + 42*i**2 + 296*i/7 + 6530. What is j in l(j) = 0?
-1, 1, 74
Let s(d) be the first derivative of d**5/60 + 113*d**4/16 + 6967*d**3/9 - 6106*d**2 + 29584*d/3 + 5760. Suppose s(r) = 0. Calculate r.
-172, 1, 4
Factor 11393*o**2 + 204*o + 81*o - 11382*o**2 - 11*o - 444 + 159*o.
(o - 1)*(11*o + 444)
Let l = 659 + -657. Factor 12*j**2 - 15*j - j**3 + 85 + l*j**3 - 111.
(j - 2)*(j + 1)*(j + 13)
Suppose r = 2*m + 19, m + 95 = 3*r + 2*r. Factor -32*g - r*g**2 - 3*g**4 - 280*g**3 - 285*g**2 - 12*g**4 - 53*g**4.
-4*g*(g + 2)**2*(17*g + 2)
Factor 12*w - 40*w**3 - 4*w**4 - 60*w + 0*w**4 + 26*w**2 + 100*w**2 - 34*w**2.
-4*w*(w - 1)**2*(w + 12)
Let w be ((-1)/2)/(6 + 74/(-12)). Suppose -3*v - 2*v**w - 2*v**4 + 2*v**2 - 3*v - 6*v + 14*v = 0. What is v?
-1, 0, 1
Let a be 78/48*4*((-318)/(-78) - 4). Let c(b) be the first derivative of -1/4*b**4 - 4/5*b**5 + 4/3*b**3 - 8 + 0*b + a*b**2. Factor c(d).
-d*(d - 1)*(d + 1)*(4*d + 1)
Let c(f) = -17*f - 49. Let n be c(-3). Factor -2*i - 6*i - 1 - 4*i**n + 8 + 5.
-4*(i - 1)*(i + 3)
Let d(v) = -v + 3. Let g(p) = -2*p**3 + 192*p**2 - 1436*p + 2804. Let r(b) = 4*d(b) + g(b). Let r(k) = 0. What is k?
4, 88
Factor 2/5*d**2 + 176890 + 532*d.
2*(d + 665)**2/5
Let r(f) be the third derivative of 8*f**7/315 + 67*f**6/45 + 53*f**5/36 + 11*f**4/24 + 2*f**2 + 506*f. Suppose r(k) = 0. Calculate k.
-33, -1/4, 0
Factor 1407387*h + 810942 - 1402067*h + 5*h**2 + 604178.
5*(h + 532)**2
Let v be (-1 - 3)*(-3)/(-12)*63/(-231)*11. Factor c**2 + 0 - 6/5*c + 1/5*c**v.
c*(c - 1)*(c + 6)/5
Let d be 5/((-2)/(-2)) + 2. Suppose 5*a - 4*l = -5 + d, l + 8 = 5*a. Determine s so that 5*s**2 + 5*s - 3*s - a*s + 5*s = 0.
-1, 0
Suppose -124 = -i + 8*j - 7*j, -4 = 4*j. Determine d, given that 177*d**2 - 55*d**4 - 120*d + 20 + i*d**2 - 90*d**3 - 85*d**2 + 30*d**5 = 0.
-2, 1/3, 1/2, 1, 2
Let y(f) be the second derivative of -52 - 4701/20*f**5 - 219/10*f**6 - 726*f**2 - 9/14*f**7 - 2897/4*f**4 + 2*f - 1012*f**3. Suppose y(q) = 0. What is q?
-11, -1, -2/3
Let a(y) be the second derivative of 0*y**3 - 33/40*y**5 + 0*y**2 + 1/40*y**6 - 108 + 121/16*y**4 + y. Factor a(w).
3*w**2*(w - 11)**2/4
Let m(g) be the first derivative of -3/20*g**4 - 69/5*g**3 + 207/5*g + 3/10*g**2 + 261. Suppose m(h) = 0. Calculate h.
-69, -1, 1
Let o(n) be the third derivative of -11/36*n**5 + 3*n**2 - 25/2*n**3 + 65/24*n**4 + 3 + 1/72*n**6 + 0*n. Solve o(r) = 0.
3, 5
Let l(s) = 1 - 3*s - 874*s**3 + 2*s + s**2 + 875*s**3. Let t(z) = -6*z**3 - z**2 + 4*z - 11. Let v(b) = 10*l(b) + 2*t(b). Factor v(c).
-2*(c - 3)*(c - 2)*(c + 1)
Let m = -4122 + 20613/5. Let x(o) be the first derivative of -m*o**3 - 3/5*o - 9/10*o**2 - 16 - 3/20*o**4. Factor x(y).
-3*(y + 1)**3/5
Let j(u) be the second derivative of 0*u**5 - 8/15*u**3 + 5 - 3*u - 2/75*u**6 + 4/15*u**4 + 1/210*u**7 + 0*u**2. Suppose j(k) = 0. Calculate k.
-2, 0, 2
Let n(i) = -640*i**2 + 1215*i - 6670. Let h(p) = -77*p**2 + 152*p - 834. Let z(b) = -25*h(b) + 3*n(b). Factor z(j).
5*(j - 24)*(j - 7)
Let n(q) be the second derivative of q**5/30 + q**4/6 - 8*q**3/3 - 69*q**2/2 - 47*q. Let o(w) be the first derivative of n(w). Factor o(h).
2*(h - 2)*(h + 4)
Let g(p) be the third derivative of -p**6/540 - p**5/45 + p**4/108 + 2*p**3/9 + 99*p**2 - p. Factor g(a).
-2*(a - 1)*(a + 1)*(a + 6)/9
Factor -414/5 - 422/5*t - 8/5*t**2.
-2*(t + 1)*(4*t + 207)/5
Let c = -1111 - -2642. Suppose 1533*o**2 - c*o**2 - o - 3*o = 0. What is o?
0, 2
Let f(h) = -h**2 - 56*h - 107. Let p(n) = 5*n**2 + 198*n + 427. Let r(q) = 18*f(q) + 4*p(q). Factor r(d).
2*(d - 109)*(d + 1)
Let u = -871103 + 4355518/5. Factor -29/10*h**3 + 0 + 2/5*h**4 - u*h + 31/10*h**2.
h*(h - 6)*(h - 1)*(4*h - 1)/10
Let b(a) = -2*a - 66. Let v be b(-15). Let s be (1 - 1/2)/(v/(-144)). Solve -9*i - i**s + 47*i**3 - 6*i**2 - 50*i**3 - 5*i**2 = 0 for i.
-3, -1, 0
Let y(i) be the third derivative of -i**6/24 - 73*i**5/12 - 2525*i**4/8 - 16125*i**3/2 + 6*i**2 - 49. Factor y(m).
-5*(m + 15)**2*(m + 43)
Let g(n) = 60*n**2 - 2990*n + 70. Let j(z) = -5*z**2 + 249*z - 6. Let y(q) = -3*g(q) - 35*j(q). Let y(t) = 0. Calculate t.
0, 51
Let l(o) be the first derivative of -o**6/10 + 9*o**5/25 + 39*o**4/20 - 11*o**3/5 - 36*o**2/5 + 12*o + 585. Determine v so that l(v) = 0.
-2, 1, 5
Let -96/7 - 92/7*x**2 + 190/7*x - 2/7*x**3 = 0. Calculate x.
-48, 1
Let b(z) be the second derivative of z**4/24 + 15*z**3/4 - 23*z**2/2 - 206*z. Determine x so that b(x) = 0.
-46, 1
Solve t**5 + 139*t**2 + 161*t**2 - t**4 - 179*t**3 + 41*t**4 + t**5 - 59*t**3 = 0.
-25, 0, 2, 3
Let h(r) be the second derivative of r**7/147 - 4*r**6/21 + 27*r**5/14 - 170*r**4/21 + 80*r**3/21 + 576*r**2/7 - 90*r. Factor h(d).
2*(d - 9)*(d - 4)**3*(d + 1)/7
Factor -21/2*g**3 - 42*g**2 - 48*g + 0 - 3/4*g**4.
-3*g*(g + 2)*(g + 4)*(g + 8)/4
Let f be ((-46)/138)/(1/(-33)). Factor -44*n - 2*n**5 - 12 - 24*n**3 + 6*n**5 + 4*n**4 - f*n**2 - 45*n**2.
4*(n - 3)*(n + 1)**4
Let u(y) be the first derivative of -4/3*y**3 + 56 - 6*y**2 - 8*y. Factor u(x).
-4*(x + 1)*(x + 2)
Factor 3/5*c**2 - 528/5 + 258/5*c.
3*(c - 2)*(c + 88)/5
Let b be 13 - ((-3999)/248 + 19). Factor 1971/8*l**2 - 2595/8*l**3 + 117*l**4 - 27/2*l**5 + 891/8*l + b.
-3*(l - 3)**3*(6*l + 1)**2/8
Let s(n) be the first derivative of n**5/30 - 7*n**4/8 + 113*n**3/18 - 73*n**2/4 + 21*n - 3865. Factor s(m).
(m - 14)*(m - 3)**2*(m - 1)/6
Let o(t) = -1615*t**2 + 5850*t + 505. Let x(p) = -125*p**2 + 450*p + 39. Let z(h) = 3*o(h) - 40*x(h). Factor z(m).
5*(m - 3)*(31*m + 3)
Determine q so that 10/7*q**4 + 0 + 118/7*q**3 + 86/7*q**2 - 22/7*q = 0.
-11, -1, 0, 1/5
Let c(x) be the first derivative of 112/25*x**5 + 0*x**2 + 129 + 0*x - 120*x**3 - 33*x**4 - 2/15*x**6. Factor c(a).
-4*a**2*(a - 15)**2*(a + 2)/5
Suppose 0 = 5*r - 32*r + 2646. Suppose -r = i - 50*i. Factor i*b**2 + 2/5*b**3 + 0 + 8/5*b.
2*b*(b + 1)*(b + 4)/5
Let t(c) = 55*c**2 + 45*c - 6. Let u be t(-3). Suppose -u*y - 126 = -355*y. Solve -180*f**2 - 24 - y*f - 75/2*f**3 = 0.
-4, -2/5
Suppose 168 + 41*q**2 - 37*q**2 + 118*q + 54*q = 0. Calculate q.
-42, -1
Determine f so that 18*f - 84*f**2 - 7*f**3 + 99*f**2 - 3*f**4 + 80*f**5 - 79*f**5 = 0.
-2, -1, 0, 3
Let j(b) = -47 + 225 + b**2 + 23*b + 7*b. Let s be j(-22). Find x, given that -1/2 - 1/2*x**s - x = 0.
-1
Let z(o) be the second derivative of o**7/210 - 67*o**6/50 + 199*o**5/50 + o**4/30 - 133*o**3/10 + 199*o**2/10 - 1582*o. Let z(b) = 0. What is b?
-1, 1, 199
Let n(s) = 7*s**2 - 10*s + 3. Let r(w) = 120*w**2 - 170*w + 50. Suppose 1 + 3 = 2*h. Suppose 35 = 165*y - 166*y. Let c(j) = h*r(j) + y*n(j). Factor c(o).
-5*(o - 1)**2
Suppose 39*j - 31*j - 2704 = 0. Suppose -52551*u + j + 22151*u - 2684*u**3 - 864*u**3 - 70*u**4 - 1461 - 3877 - 46158*u**2 = 0. What is u?
-25, -2/5, -2/7
Let y(o) = 3*o**2 + o + 1. Let a be y(-1). Suppose 4*d = -a*j + 48, -2 = -d - 3*j + 1. Factor -d*n - 4 - 44*n**2 + 6 + 10 + 47*n**2.
3*(n - 4)*(n - 1)
Let o(u) be the second derivative of -5/42*u**7 + 60*u - 2 + 0*u**6 - 5/2*u**3 + 5*u**2 - 5/6*u**4 + u**5. Factor o(v).
-5*(v - 1)**3*(v + 1)*(v + 2)
Let b(x) be the first derivative of -x**4/14 - 20*x**3/7 - 27*x**2 - 4467. Suppos