u - 132. Let f be y(-4). Let -6880*n**2 - f*n**4 + 7*n**4 - 410*n**3 - 1525*n**2 = 0. What is n?
-41, 0
Suppose -858*a - 12 = -863*a - 4*g, -4*g + 12 = -2*a. Factor -40/21*j - 6/7*j**2 - 2/21*j**3 + a.
-2*j*(j + 4)*(j + 5)/21
Determine b so that -306/7 - 2/7*b**4 + 164/7*b**2 + 24/7*b**3 + 120/7*b = 0.
-3, 1, 17
Let m be (396/3696)/(-6 - 121/(-20)). Suppose 2*g = 4*q + 12, -6*q - 2 = g - 4*q. Factor m*n**g + 1/7*n**3 + 125/7 + 75/7*n.
(n + 5)**3/7
Let r be ((-16)/(4 - -60) - 1)/((-5)/2). Factor 5/2*z**2 - 1/2*z**3 - 5/2 + r*z.
-(z - 5)*(z - 1)*(z + 1)/2
Factor 0 - 13*k**2 - 147/4*k - 1/4*k**3.
-k*(k + 3)*(k + 49)/4
Let a(g) be the third derivative of -g**5/66 + 163*g**4/44 - 44*g**3/3 + 4764*g**2. Factor a(h).
-2*(h - 1)*(5*h - 484)/11
Suppose -5*g - o = -187 + 165, -g + 14 = o. Factor -2/11*x**g - 40/11 + 24/11*x.
-2*(x - 10)*(x - 2)/11
Let b(l) be the second derivative of -l**7/210 + l**6/6 - 143*l**5/100 - 169*l**4/60 + 1120*l. Suppose b(j) = 0. Calculate j.
-1, 0, 13
Factor -260*t**3 + 30*t**4 - 21760*t - 1861*t**2 + 980*t**2 - 25*t**4 - 4239*t**2.
5*t*(t - 68)*(t + 8)**2
Let b(l) be the first derivative of l**6/15 + 256*l**5/25 + 576*l**4 + 40960*l**3/3 + 102400*l**2 + 4050. Determine w so that b(w) = 0.
-40, -8, 0
Let v(b) be the second derivative of -13*b**7/231 + 14*b**6/165 + 12*b**5/55 - 42*b. What is j in v(j) = 0?
-12/13, 0, 2
Let w(b) = 17*b**3 - 373*b**2 - 35714*b - 69938. Let n(a) = 40*a**3 - 745*a**2 - 71427*a - 139876. Let t(x) = -3*n(x) + 7*w(x). Let t(h) = 0. Calculate h.
-187, -2
What is t in 5/2*t**2 - 90 - 5/4*t**3 + 45*t = 0?
-6, 2, 6
Factor 231*u**2 - 1199833*u**3 + 3*u**4 - u**4 + 465*u**2 + 2277 + 3956*u + 1199749*u**3 + 897.
2*(u - 23)**2*(u + 1)*(u + 3)
Let a(k) be the second derivative of k**6/165 - k**5/5 + 24*k**4/11 - 128*k**3/33 - 1024*k**2/11 - 1074*k - 1. Factor a(s).
2*(s - 8)**3*(s + 2)/11
Factor 25126 + t**3 - 24356 + 147150 - 668*t**2 - 5*t**3 - 26144*t.
-4*(t - 5)*(t + 86)**2
Let q(p) be the third derivative of 0 + 0*p**3 + 0*p**4 - 1/168*p**8 + 0*p**5 + 62*p**2 + 1/30*p**6 + 0*p - 1/105*p**7. Factor q(t).
-2*t**3*(t - 1)*(t + 2)
Let m(j) = 6*j**2 + 15*j - 9. Let g(d) = 3*d**2 + 7*d - 4. Let w = -35 + 176. Let v be (-2)/(-5 - w/(-27)). Let o(n) = v*g(n) + 4*m(n). Factor o(k).
-3*k*(k + 1)
Let i be 93/(-7) - (13 - 31 - -1). Factor 10/7*o**2 + i*o - 2/7*o**3 + 2.
-2*(o - 7)*(o + 1)**2/7
Let y = -2 + 6. Let b be (-4605)/(-75) - y/10. Determine t, given that 61*t - b*t - 2*t**4 + 2*t**2 = 0.
-1, 0, 1
Let f(m) be the first derivative of -33 - 1/3*m**5 + 10/3*m**3 + 0*m - 1/12*m**4 + 1/60*m**6 - 12*m**2. Let l(r) be the second derivative of f(r). Factor l(s).
2*(s - 10)*(s - 1)*(s + 1)
Factor 282/5*t - 56 - 2/5*t**2.
-2*(t - 140)*(t - 1)/5
Let m(u) = -4*u**3 + 32*u**2 + 142*u - 55. Let x(p) = 2*p**3 - 16*p**2 - 70*p + 22. Let b(n) = -2*m(n) - 5*x(n). Let b(g) = 0. Calculate g.
-3, 0, 11
Let z(u) be the first derivative of 2 + u**2 + 0*u**4 - u**3 + 0*u + 1/5*u**5. Suppose z(o) = 0. What is o?
-2, 0, 1
Let p(o) = -7*o**3 + 51*o**2 - 166*o + 158. Let f(j) = -37*j**3 + 255*j**2 - 829*j + 791. Let h(r) = 2*f(r) - 11*p(r). What is l in h(l) = 0?
2, 13
Let t(g) be the second derivative of 0 + 0*g**2 - 1/231*g**7 + 64*g - 111/55*g**5 - 182/33*g**4 - 169/33*g**3 - 28/165*g**6. Factor t(r).
-2*r*(r + 1)**2*(r + 13)**2/11
Determine n so that 207/4*n - 3/4*n**4 - 231/2 + 9/4*n**3 + 249/4*n**2 = 0.
-7, -2, 1, 11
Let a(h) be the first derivative of -6*h**5/95 - 17*h**4/38 - 6*h**3/19 + 5*h**2/19 - 685. Let a(t) = 0. What is t?
-5, -1, 0, 1/3
Determine r, given that -4256/5*r - 23104/5*r**2 - 196/5 = 0.
-7/76
Let i(u) be the second derivative of 24*u**2 - 13/48*u**4 + 0 - 1/80*u**5 - 2/3*u**3 + 110*u. Solve i(x) = 0 for x.
-8, 3
Let p(o) be the second derivative of -o**6/840 - o**5/210 - o**4/168 + 14*o**2 + 3*o - 20. Let x(j) be the first derivative of p(j). What is u in x(u) = 0?
-1, 0
Suppose 5*o = -0*o + 10. Let v = 213795 + -427589/2. Solve v*z**o + 0*z + 1/2*z**3 + 0 = 0 for z.
-1, 0
Let i(a) be the first derivative of 1/5*a**4 + 1/5*a**3 + 1/25*a**5 - 42 - 2/5*a**2 - 4/5*a. Factor i(k).
(k - 1)*(k + 1)*(k + 2)**2/5
Let i(g) be the second derivative of -95*g**4/12 + g**3/2 - 185*g. Suppose i(o) = 0. Calculate o.
0, 3/95
Let u(a) be the third derivative of -a**8/5040 + a**6/180 - 31*a**5/60 + 75*a**2. Let y(j) be the third derivative of u(j). Factor y(h).
-4*(h - 1)*(h + 1)
Let q(o) be the second derivative of 4 + 6*o + 841/8*o**2 - 29/12*o**3 + 1/48*o**4. Factor q(t).
(t - 29)**2/4
Let u(f) = -f**2 - 97*f + 1. Let a(o) = -6*o**2 - 1106*o + 1251. Let x(t) = -a(t) + 5*u(t). Suppose x(j) = 0. What is j?
-623, 2
Let v(z) be the third derivative of -z**5/15 + 25*z**4/3 + 106*z**3 + 17*z**2 - 3*z. What is a in v(a) = 0?
-3, 53
Let a(t) = -5*t**2 - 212*t + 2577. Let c(v) = -v**2 - 43*v + 516. Let p(g) = -6*a(g) + 33*c(g). Find z, given that p(z) = 0.
-58, 9
Let a(o) be the third derivative of -1/60*o**4 - 1/300*o**5 + 59*o**2 + 0 + 4/5*o**3 + 3*o. Factor a(r).
-(r - 4)*(r + 6)/5
Let m(g) = 7*g**2 + 398*g + 750. Let r(s) = -6*s**2 - 395*s - 751. Let z(d) = -5*m(d) - 6*r(d). Let z(o) = 0. What is o?
-378, -2
Let n = -1370891/3 + 456967. Find j such that 0 + n*j**3 - 4*j**2 - 22/3*j = 0.
-1, 0, 11/5
Let l(k) = 3*k**3 - 106*k**2 + 455*k - 347. Let h(a) = 2*a**3 - 53*a**2 + 228*a - 174. Let p(b) = 10*h(b) - 6*l(b). Factor p(w).
2*(w - 3)*(w - 1)*(w + 57)
Let h(z) be the first derivative of 4*z**3/9 - 58*z**2/3 - 128*z - 769. Factor h(g).
4*(g - 32)*(g + 3)/3
Let g(y) be the third derivative of -1/210*y**7 + 0 + 0*y**4 - 221*y**2 + 0*y + 0*y**3 + 1/90*y**5 - 1/72*y**6. Let g(k) = 0. Calculate k.
-2, 0, 1/3
Let n(k) be the second derivative of 1/63*k**7 + 2*k + 2/45*k**6 - 58 - 2/9*k**4 - 1/10*k**5 + 4/9*k**3 + 0*k**2. Factor n(m).
2*m*(m - 1)**2*(m + 2)**2/3
Let p be 0 - (16/(-8))/960. Let m(z) be the third derivative of p*z**6 + 7/96*z**4 + 12*z**2 + 0*z + 0 - 1/48*z**5 - 1/8*z**3. Factor m(a).
(a - 3)*(a - 1)**2/4
Let k(d) be the third derivative of -49*d**8/264 - 7*d**7/11 + 217*d**6/66 - 142*d**5/33 + 30*d**4/11 - 32*d**3/33 + 2223*d**2. What is u in k(u) = 0?
-4, 2/7, 1
Let m(n) = 23*n**4 - 19*n**3 - 54*n**2 + 8*n + 77. Let u(j) = -5*j**4 - j**3 - 1. Let c(t) = 2*m(t) + 10*u(t). Factor c(d).
-4*(d - 1)*(d + 2)**2*(d + 9)
Let j = -998 + 994. Let b be (-48)/j*(6 - 416/72). Determine k so that 4/3*k**3 - 2/9*k**4 + b*k - 26/9*k**2 - 8/9 = 0.
1, 2
Let c = 8 - 5. Let j be (-18)/(-4)*(536/(-24) - -23). Find f such that 4*f**2 + 82*f**c + j*f**2 + 13*f**3 + 3*f**2 = 0.
-2/19, 0
Let i(w) be the first derivative of 71 - 1/2*w**6 + 24/5*w**5 - 39/4*w**4 + 0*w**2 + 0*w + 6*w**3. Factor i(z).
-3*z**2*(z - 6)*(z - 1)**2
Let f(k) be the first derivative of -k**4/6 - 2*k**3/3 + 12*k**2 + 72*k - 9025. Factor f(t).
-2*(t - 6)*(t + 3)*(t + 6)/3
Let j(k) be the second derivative of 1/42*k**7 - 17/12*k**4 - 5/3*k**3 + 1/6*k**6 - 3*k + 0*k**2 - 3/20*k**5 + 0. Determine c so that j(c) = 0.
-5, -1, 0, 2
Let n(t) be the second derivative of -t**4/3 + 1606*t**3/3 - 1604*t**2 - 3*t - 687. Solve n(d) = 0.
1, 802
Let r(z) be the third derivative of z**6/720 + 158*z**5/45 + 2525*z**4/144 + 631*z**3/18 + 320*z**2 + 3*z. Find f, given that r(f) = 0.
-1262, -1
Let j = 1034680 + -4138719/4. Factor -j*f**2 + 0 - 3/2*f.
-f*(f + 6)/4
Suppose -1040/7*l + 2096/7 - 4/7*l**2 = 0. What is l?
-262, 2
Let o(r) = 3*r**3 - 23*r**2 - 41*r + 50. Let d be o(9). Let s(l) be the third derivative of -1/20*l**d + l**4 + 0*l**3 + 22*l**2 + 0 + 0*l. Factor s(p).
-3*p*(p - 8)
Let n(m) be the first derivative of 2*m**5/5 - 57*m**4/2 + 526*m**3/3 - 147*m**2 - 936*m - 1790. Factor n(j).
2*(j - 52)*(j - 3)**2*(j + 1)
Suppose -21*r + 729 = 18*s - 20*r, -4*s + 5*r = -115. Factor -800 - s*a + 40*a**3 + 1599/2*a**2 + 1/2*a**4.
(a - 1)*(a + 1)*(a + 40)**2/2
Let r(b) be the second derivative of -2 + 5/12*b**4 + 1/10*b**5 - 3*b + 0*b**2 - b**3 - 1/30*b**6. Factor r(s).
-s*(s - 3)*(s - 1)*(s + 2)
Let t = 747/5 + -5189/35. Suppose -8/7*s + t*s**2 - 2/7*s**3 + 0 = 0. What is s?
0, 2
Let w(d) be the first derivative of 5*d**3/3 + 425*d**2 + 8745*d - 14598. Factor w(g).
5*(g + 11)*(g + 159)
Factor -93 - 1/3*c**3 + 91/3*c**2 + 63*c.
-(c - 93)*(c - 1)*(c + 3)/3
Let r(y) be the third derivativ