19*d + 7/39*d**3 - 1/78*d**4. Factor m(i).
-2*(i - 5)*(i - 2)/13
Let a be 5 + (-866)/(-136) - (-657*(-16)/(-816) - -13). Find x such that -3/4*x**4 + 213/4*x**2 + 57/2 + a*x**3 + 279/4*x = 0.
-2, -1, 19
Let y(v) be the second derivative of -123/40*v**5 + 0 - 94*v - 1/40*v**6 - 410*v**3 - 1761/16*v**4 - 600*v**2. What is q in y(q) = 0?
-40, -1
Let m(c) be the second derivative of 1/120*c**5 + 1/600*c**6 + 5/3*c**3 - 1/60*c**4 + 0 - 16*c + 0*c**2. Let g(r) be the second derivative of m(r). Factor g(i).
(i + 2)*(3*i - 1)/5
Let k(d) = -d**3 - 2*d**2 + 13*d. Let f(r) = -6*r**3 + 4*r**3 + 897*r**2 + 3*r**3 - 19*r - 895*r**2. Let l(j) = 5*f(j) + 8*k(j). Suppose l(n) = 0. What is n?
-3, 0, 1
Let u(j) = -2*j**2 - 8*j + 17. Let o be u(0). Suppose -2*v + 5*c = o, -26 = -5*c - 1. Find b such that 1/2 + 4*b**3 - v*b - 8*b**4 + 15/2*b**2 = 0.
-1, 1/4, 1
Suppose -7*d = 954 - 7086. Let p = d + -4377/5. Factor 0 - p*s**4 - 1/5*s + 1/5*s**3 + 3/5*s**2.
-s*(s - 1)*(s + 1)*(3*s - 1)/5
Let m(g) = -g**2 - 1. Let c(z) = z**2 + 3*z + 12. Let b = 157 + -160. Let y(a) = b*c(a) - 6*m(a). Factor y(o).
3*(o - 5)*(o + 2)
Let c be -24 + 19 + 210/30. Let -2/3*b**3 + 0 - 50/3*b - 20/3*b**c = 0. What is b?
-5, 0
Let p = 265 - 263. Solve 14*y - 60 + 55*y - 36*y**2 + 23*y - p*y**3 + 6*y**3 = 0.
1, 3, 5
Let o(d) = -47*d**3 + 81*d**2 - 15*d - 19. Let q(g) = 95*g**3 - 165*g**2 + 31*g + 39. Let a(z) = 7*o(z) + 3*q(z). Suppose a(i) = 0. Calculate i.
-4/11, 1
Let i(q) be the first derivative of -4*q**3/3 + 9*q**2 + 6*q + 9. Let p(d) = -7*d**2 + 34*d + 11. Let g(u) = -11*i(u) + 6*p(u). Factor g(y).
2*y*(y + 3)
Let i(n) = -2*n**5 + 98*n**4 - 678*n**3 - 6470*n**2 - 11230*n + 20. Let b(k) = k**4 - k**3 + 13*k**2 + 2*k + 2. Let c(t) = 10*b(t) - i(t). Factor c(j).
2*j*(j - 25)**2*(j + 3)**2
Let a = 187 + -177. Solve -2*c**4 - a*c**2 + 4*c + 37*c**3 - 29*c**3 - 7 + 7 = 0.
0, 1, 2
Let h = 80336/441969 - -2/40179. Factor -h*a**5 + 0 + 0*a**3 + 4/11*a**4 + 0*a + 0*a**2.
-2*a**4*(a - 2)/11
Let g(r) = -r**3 + 15*r**2 + 2. Let y = 14 + 1. Let b be g(y). Determine o so that 3*o**3 - 1 + 3 + 3*o**b - 5 - 3*o = 0.
-1, 1
Let s be (3 + (-32)/9)/(154/(-693)). Let w be 4/12 + (-205)/(-10). What is c in 1/6*c**3 - s*c**2 + 25/2*c - w = 0?
5
Let o = -11161 - -8705581/780. Let d(s) be the third derivative of s**2 - 1/39*s**3 + 1/390*s**5 + 0*s + 0 + 1/156*s**4 - o*s**6. Factor d(u).
-2*(u - 1)**2*(u + 1)/13
Let x(n) = -24*n**2 - 8*n + 152. Let h(s) = s**2 - 2*s - 2. Let j(u) = 20*h(u) + x(u). Find l, given that j(l) = 0.
-14, 2
Let k be (18/(-4))/(75/(-150)). Let r(t) be the third derivative of -1/150*t**5 - 1/20*t**4 + 0*t**3 + 0 + 1/525*t**7 + 1/100*t**6 + k*t**2 + 0*t. Factor r(j).
2*j*(j - 1)*(j + 1)*(j + 3)/5
Let v(d) = d**3 - d**2 + 3*d - 15. Let s be v(4). Let m be (-2)/(-5) + 16/10. Factor -5*f**3 + 5*f**m - 45 + 5*f + s - 5*f**4.
-5*f*(f - 1)*(f + 1)**2
Suppose -193*s + 187*s + 72 = 0. Suppose -s*q + x = -10*q - 107, -2*q + 2*x = -106. Factor 18 - 2/3*p**5 - 92/3*p**3 + 22/3*p**4 + 60*p**2 - q*p.
-2*(p - 3)**3*(p - 1)**2/3
Let c(j) be the second derivative of j**5/30 + 163*j**4/18 - 329*j**3/9 + 55*j**2 - 183*j. Suppose c(w) = 0. Calculate w.
-165, 1
Let i(j) be the second derivative of -96*j**3 + 0 + 35/6*j**4 - 213*j - 1/10*j**5 - 324*j**2. Factor i(d).
-2*(d - 18)**2*(d + 1)
Let k(p) be the third derivative of -p**5/240 + 7*p**4/24 - 65*p**3/8 + 3344*p**2. Factor k(w).
-(w - 15)*(w - 13)/4
Suppose 3090 - 3099 = -3*f. Let b be -3*8/(-6)*(-13)/(-182). Factor 2/7*k**f - b*k + 8/7 - 8/7*k**2.
2*(k - 4)*(k - 1)*(k + 1)/7
Let g(p) be the third derivative of 1/3*p**3 - 1/30*p**6 + 16 + 0*p + 1/6*p**4 + 2*p**2 - 1/105*p**7 + 0*p**5. Suppose g(b) = 0. Calculate b.
-1, 1
Let a(t) = -t**3 + 9*t**2 + 64*t - 16. Let y be a(-5). Suppose 11*k - y*k + 3*v = 0, -v = k. Factor -15/2*u + 3/2*u**4 - 3/2*u**2 + k + 15/2*u**3.
3*u*(u - 1)*(u + 1)*(u + 5)/2
Let b(o) be the third derivative of -o**8/408 + o**7/595 + 53*o**6/1020 + 7*o**5/170 - 23*o**4/102 - 8*o**3/17 + 17*o**2 - 16*o. What is g in b(g) = 0?
-2, -1, -4/7, 1, 3
Let k(u) be the first derivative of 0*u - 3/4*u**4 - 27/2*u**2 - 6*u**3 - 55. Factor k(o).
-3*o*(o + 3)**2
Let m(f) = -11*f**2 + 200*f + 195. Let k(d) = -15*d**2 + 267*d + 260. Let r(o) = -8*k(o) + 11*m(o). Factor r(a).
-(a - 65)*(a + 1)
Let q = 288 + -271. Factor 4*n**3 + 32 + 4*n**2 + 2*n**5 + 33*n**4 - 16*n - q*n**4 + 2*n**5 - 44*n**2.
4*(n - 1)**2*(n + 2)**3
Suppose 68*h - 67*h = 3. Let k be -1*8/(-48)*h. Let 1/6*t**4 + 0 - 1/6*t**5 + k*t**3 + 1/3*t - 5/6*t**2 = 0. Calculate t.
-2, 0, 1
Factor -3015 + 783367*o**2 - o**3 - 783592*o**2 - 1653*o - 2*o**3.
-3*(o + 3)*(o + 5)*(o + 67)
Let k(x) be the first derivative of -x**4/14 + 944*x**3/21 - 55221*x**2/7 - 224676*x/7 - 3528. Factor k(y).
-2*(y - 237)**2*(y + 2)/7
Let i = -411 + 1149. Let d be -2 - (0 + 0 - i/45). Factor -3/5*c**4 + 27/5*c**3 + 48/5*c + 0 - d*c**2.
-3*c*(c - 4)**2*(c - 1)/5
Let j(m) be the second derivative of -2*m**4/21 + 31*m**3/21 - 1402*m. Factor j(d).
-2*d*(4*d - 31)/7
Let p(w) be the second derivative of w**4/4 - 175*w**3/2 + 1026*w**2 - 5935*w. Factor p(c).
3*(c - 171)*(c - 4)
Suppose -4*w + 8*w = 16. Suppose -2*v + 2 = -0, w*l + 3*v - 47 = 0. What is q in -6*q**2 - 6 + 39*q + 18 - l*q + 14*q**2 = 0?
-3, -1/2
Suppose -5*y + y - 100 = 0. Let j = y - -30. Determine d so that -4*d + 2*d**4 - 15*d**3 + 21*d**2 - j*d + d**4 = 0.
0, 1, 3
Let u = -274 - -194. Let d be 0*(-5 + u/(-15)). Suppose -3/5*h**5 + 3/5*h**2 - 9/5*h**3 + d + 9/5*h**4 + 0*h = 0. Calculate h.
0, 1
Let w = -50523 - -250991/5. Let n = w - -328. Solve n + 64/5*z + 28/5*z**2 = 0 for z.
-2, -2/7
Let t = 1267 + -566. Let n = t + -3493/5. Let -4/5*d - n*d**2 - 1/5*d**5 - 6/5*d**4 - 13/5*d**3 + 0 = 0. What is d?
-2, -1, 0
Factor -34*c**3 + 0*c - 52*c**2 - 56/13*c**4 + 0 - 2/13*c**5.
-2*c**2*(c + 2)*(c + 13)**2/13
Let -284/5*g**2 - 18/5*g**4 - 40*g - 30*g**3 - 48/5 = 0. What is g?
-6, -1, -2/3
Let c(u) = u**2 - u + 10. Let t be c(0). Suppose -3*x + 6 = v - t, 5*x - v - 16 = 0. Solve -x*h - 6*h**2 - 14*h - 4 - 8*h**3 + 16*h**3 = 0.
-1, -1/4, 2
Suppose -1/3*m**3 - 15944049 - 131769*m - 363*m**2 = 0. Calculate m.
-363
Let r(f) = 6*f**2 - 100*f + 478. Let x(h) = -4*h**2 + 67*h - 319. Suppose -238*p + 237*p = -5. Let l(j) = p*r(j) + 8*x(j). Factor l(u).
-2*(u - 9)**2
Find g such that -3725456*g**2 + 3766338*g + 488331*g - 2*g**5 + 191206*g**2 - 90758*g**3 - 15625000 + 4303649*g + 6691682*g - 742*g**4 = 0.
-125, 2
Let l = -15672 + 15675. Factor -k**l - 1/4 + k + 1/4*k**2.
-(k - 1)*(k + 1)*(4*k - 1)/4
Let w(o) be the third derivative of 9*o**7/35 - 163*o**6/30 + 413*o**5/10 - 129*o**4 + 36*o**3 - 61*o**2 - 51*o. Suppose w(h) = 0. What is h?
2/27, 3, 6
Let f(l) = 4*l - 7. Let w be f(5). Let -147*s**2 + 424*s**2 + 2*s**3 + 58 + 52*s - 215*s**2 + w*s + 53*s = 0. What is s?
-29, -1
Let h be ((-134)/(-804))/((-2)/(-24)). Factor -h - 1/8*s**2 - s.
-(s + 4)**2/8
Let o(b) be the first derivative of -7*b**5/60 + b**4/2 + 2*b**3/3 - 3*b**2/2 + 2*b - 22. Let j(x) be the second derivative of o(x). Factor j(s).
-(s - 2)*(7*s + 2)
Suppose -327/5*o**3 + 3/5*o**5 + 0*o - 33*o**2 - 159/5*o**4 + 0 = 0. Calculate o.
-1, 0, 55
Let u(n) = -5*n**2 - 120*n + 135. Let r(m) = -242 + 242 + m. Let d(q) = -10*r(q) + u(q). Let d(b) = 0. Calculate b.
-27, 1
Factor -2450*h - 34*h**2 - 29*h**2 - 2*h**3 + 4*h**2 - 31*h**2 - 50*h**2.
-2*h*(h + 35)**2
Let v be -15*8/280 + (-240)/(-70). Factor -8192/13 + 1440/13*s**2 - 94/13*s**v + 2/13*s**4 - 512*s.
2*(s - 16)**3*(s + 1)/13
Let z(c) be the third derivative of c**5/150 - 1444*c**4/15 + 8340544*c**3/15 - 2*c**2 + c - 1177. Determine h, given that z(h) = 0.
2888
Let s(g) be the second derivative of -g**4/3 - 1000*g**3/3 + 1002*g**2 - 229*g - 2. Find t, given that s(t) = 0.
-501, 1
Let z(f) = -2*f**3 - 14*f**2 - 15*f + 12. Let n(s) = 9*s**3 + 57*s**2 + 63*s - 48. Let g be 3/(-6) - (-234)/12 - -2. Let m(d) = g*z(d) + 5*n(d). Factor m(b).
3*(b - 2)**2*(b + 1)
Let i(b) be the first derivative of b**6/60 + b**5/5 + b**4/4 - 2*b**3/3 - 7*b**2/4 - 132*b + 66. Let h(g) be the first derivative of i(g). Factor h(j).
(j - 1)*(j + 1)**2*(j + 7)/2
Let v(i) be the second derivative of -169/24*i**3 - 4*i - 59/40*i**5 - 1/5*i**6 + 0*i**2 + 13/2*i**4 - 1/168*i**7 + 0. Facto