*2 = 0. Calculate t.
0, 1
Find i, given that 12*i**4 + 16*i**3 - 4/3*i**5 - 80/3*i**2 + 0*i + 0 = 0.
-2, 0, 1, 10
Let t(w) be the first derivative of 5*w**3/3 + 331*w**2/2 - 268*w + 11145. What is j in t(j) = 0?
-67, 4/5
Let c(i) be the third derivative of -i**5/3 + 1567*i**4/6 - 1252*i**3/3 - 4*i**2 + i + 191. Suppose c(l) = 0. Calculate l.
2/5, 313
Let r(o) be the second derivative of -o**5/60 + o**4/2 + 13*o**3/6 + 3*o**2 - 2*o + 2. Let n(x) be the first derivative of r(x). Suppose n(l) = 0. What is l?
-1, 13
Suppose -287*r + 295 = -228*r. Let o(a) be the third derivative of 3/4*a**4 - 27/2*a**3 - 1/60*a**r + 12*a**2 + 0 + 0*a. Determine t so that o(t) = 0.
9
Let t(q) = 142*q - 10648. Let x be t(75). Factor 1/2*n**x + n - n**3 - 1/2.
-(n - 1)*(n + 1)*(2*n - 1)/2
Let p = -513497 + 513501. Factor 2/3*z**p + 92/3*z + 10 + 12*z**3 + 32*z**2.
2*(z + 1)**3*(z + 15)/3
Let m(d) be the third derivative of -d**5/300 - 61*d**4/60 - 8*d**3 + 3502*d**2. Solve m(q) = 0 for q.
-120, -2
Let d(p) be the first derivative of -2*p**3/3 - 341*p**2 + 684*p - 1452. Factor d(y).
-2*(y - 1)*(y + 342)
Determine m, given that 173*m**4 + 24*m**3 - 6*m**2 - 249*m**2 - 336*m**4 + 166*m**4 - 102*m**3 - 174*m = 0.
-2, -1, 0, 29
Factor 2/11*p**2 + 68*p + 6358.
2*(p + 187)**2/11
Let m(o) = 2*o**4 - 190*o**3 + 3866*o**2 + 12878*o + 8840. Let j(y) = -2*y**3 + 2*y**2 + 1. Let d(i) = -4*j(i) + m(i). Factor d(p).
2*(p - 47)**2*(p + 1)*(p + 2)
Let b = 190 - 204. Let c be 30/b*(-486)/270. Factor 6/7 - 3*w - 15/7*w**3 + c*w**2 + 3/7*w**4.
3*(w - 2)*(w - 1)**3/7
Let c(q) = -q**3 + 11*q**2 - 13*q - 40. Let u be c(9). Factor -3*w**2 - 13*w - 4 + 6 + u*w**2 + w**3 + 8.
(w - 2)*(w - 1)*(w + 5)
Let c(w) = -w**3 - 18*w**2 - 18*w - 15. Let m be c(-17). Determine b so that -13 - 72*b - 29*b**4 - 102*b**3 - 3 - 95*b**m - 29*b**2 - 11*b**4 - 6*b**5 = 0.
-2, -1, -2/3
Let p(b) be the second derivative of 0*b**4 + 0*b**3 - 2*b + 12 - 1/336*b**7 + 0*b**2 + 1/80*b**6 - 1/80*b**5. Factor p(f).
-f**3*(f - 2)*(f - 1)/8
Let d(s) be the first derivative of -s**7/14 + 7*s**6/6 + 3*s**5/5 - 271*s - 130. Let w(v) be the first derivative of d(v). Suppose w(l) = 0. What is l?
-1/3, 0, 12
Let w(b) be the first derivative of 5/34*b**4 + 0*b + 0*b**3 + 4/17*b**6 + 149 + 46/85*b**5 + 0*b**2. Determine n, given that w(n) = 0.
-5/3, -1/4, 0
Suppose -4*i + 5*i - 8*i = 8*i. Let x(g) be the third derivative of 2/3*g**3 + 0 - 1/60*g**5 + i*g**4 + 0*g - 5*g**2. Factor x(t).
-(t - 2)*(t + 2)
Let h(q) = -35*q**4 - 505*q**3 - 1125*q**2 - 555*q + 20. Let z(x) = 2*x**4 - x**3 + 3*x**2 + x - 1. Let u(g) = -h(g) - 20*z(g). Factor u(w).
-5*w*(w - 107)*(w + 1)**2
Let f = 908630 + -908543. What is p in f*p**2 - 6*p - 921/2*p**3 - 1701/2*p**5 + 0 + 4185/4*p**4 = 0?
0, 2/9, 2/7, 1/2
Let v(x) be the first derivative of x**5/20 - x**4/2 - 3*x**2 + x - 55. Let r(d) be the second derivative of v(d). Factor r(z).
3*z*(z - 4)
Suppose -36*i = -32*i + 5*h - 537, -3*i + 4*h + 426 = 0. Factor -180*b**2 - i*b - 28*b**2 + 330*b - 112*b**3 - 12*b**4.
-4*b*(b + 4)*(b + 6)*(3*b - 2)
Let c(o) be the first derivative of -o**4 - 643*o**3/3 - 13040*o**2 - 19200*o - 331. Factor c(d).
-(d + 80)**2*(4*d + 3)
Factor -112519 - 3*a**2 - 18*a + 112559 + 2*a**2.
-(a - 2)*(a + 20)
Let z(b) be the second derivative of b**5/60 + 4*b**4/9 - 217*b**3/18 + 100*b**2/3 + 69*b + 19. Find h such that z(h) = 0.
-25, 1, 8
Suppose 0 = 8*g - 7*g + 5, 3*q - 4*g = 20. Factor q*h**3 + 10*h**3 - 155*h**2 + 1275*h - 296 - 5*h**3 - 829.
5*(h - 15)**2*(h - 1)
Solve -3335/4*f**3 + 24565 + 8245/4*f**2 + 235/4*f**4 - 5/4*f**5 + 20230*f = 0 for f.
-2, 17
Let g = 209 - 77. Factor 84*l**2 - 100*l - 4*l**3 + g*l**2 - 112*l**2.
-4*l*(l - 25)*(l - 1)
Let f(v) = -105*v**2 - 246*v - 479. Let s(m) = -57*m**2 - 123*m - 240. Let t(g) = -6*f(g) + 11*s(g). Find n such that t(n) = 0.
-39, -2
Let i(t) be the third derivative of 2*t**2 - 72 - 1/5*t**5 - 1/60*t**6 - 4/3*t**3 - 3/4*t**4 + 0*t. Factor i(x).
-2*(x + 1)**2*(x + 4)
Let i(m) = m**3 - 2*m**2 - 2*m - 3. Let d be i(3). Let w(l) be the second derivative of 6/5*l**2 - 28*l + d + 17/10*l**3 + 1/5*l**4. Find c such that w(c) = 0.
-4, -1/4
Let c(k) be the third derivative of 1/420*k**7 + 10 + 0*k + 61/120*k**5 - 3/40*k**6 + 15/4*k**4 + 25/3*k**3 - 6*k**2. Factor c(v).
(v - 10)**2*(v + 1)**2/2
Suppose -3 = 5*b + 7, -4*b = 3*s + 83. Let v be 4/(-10) - (35/s - -1). Factor 2/3*n**3 + 0 - 2/9*n**4 + v*n + 0*n**2.
-2*n**3*(n - 3)/9
Let t(z) be the second derivative of 2*z**7/21 - 2*z**6/3 + 2*z - 2028. Factor t(p).
4*p**4*(p - 5)
Let t(l) = 16*l**2 + 48*l - 46. Let f = 193 - 204. Let d(o) = -30*o**2 - 94*o + 91. Let n(h) = f*t(h) - 6*d(h). Factor n(g).
4*(g - 1)*(g + 10)
Suppose -190*s + 185*s = -110. Let x(u) be the third derivative of 5/6*u**4 + 0*u**3 - 1/12*u**5 + 0*u - s*u**2 + 0. Factor x(c).
-5*c*(c - 4)
Suppose -4*l + 312 = 4*l. Let d = l - 28. Factor -4*n**2 + 32 + 72*n - 5*n**2 - d*n**2.
-4*(n - 4)*(5*n + 2)
Suppose -8 = -2*n - 0*n. Suppose 572 = n*a + 4*s, 0 = -3*a + 2*s + s + 423. Factor 21 - 3 - 2183*y**2 - a*y + 32*y**3 + 2455*y**2 + 0.
2*(y + 9)*(4*y - 1)**2
Let s be (2 - 3) + -5 - ((-8)/(-6))/(604/(-2718)). Suppose 2*b**3 + 32/11*b - 52/11*b**2 - 2/11*b**4 + s = 0. What is b?
0, 1, 2, 8
Factor 18*i + 52/3 + 2/3*i**2.
2*(i + 1)*(i + 26)/3
Suppose -6*r - 9*r = -3405. Factor -4 - 428*a**2 + r*a**2 + 22*a + 213*a**2.
2*(a + 2)*(6*a - 1)
Let y be 13/(858/(-77)) - (-611)/390. Let 32*p + 640 + y*p**2 = 0. What is p?
-40
Factor 38*o**2 - 19*o**2 - 22*o**2 - 37*o + 8*o - 25*o.
-3*o*(o + 18)
Suppose -5*y + 40385 = -4*z, -3*y = 4*z - 28823 + 4560. Let g = 89019/11 - y. Solve 32/11*q - g - 2/11*q**2 = 0.
8
Suppose -6 - 4 = -5*r, 80 = 4*j + 4*r. Let o = -22 - -78. Suppose -o*q**2 + q - 32 - 2*q**4 - 49*q - 24*q - j*q**3 = 0. What is q?
-4, -2, -1
Suppose -7/10*l**2 - 58/5 + 204/5*l = 0. What is l?
2/7, 58
Factor -2/9*k**4 - 228*k**2 - 2048/9*k - 688/9*k**3 - 682/9.
-2*(k + 1)**3*(k + 341)/9
Determine p, given that 678976/7 + 820/7*p**3 + 1/7*p**4 + 166452/7*p**2 - 675680/7*p = 0.
-412, 2
Let z be (4/(-12))/((13 + -12)/(-9 + 3)). Let y(c) be the first derivative of 2/39*c**3 - 16 - 3/13*c**z - 8/13*c. Factor y(w).
2*(w - 4)*(w + 1)/13
Let a(f) be the first derivative of 1/4*f**5 - 76 - 1/4*f**2 + 3/4*f**3 - 3/4*f**4 + 0*f. Let a(s) = 0. Calculate s.
0, 2/5, 1
Let k be ((-17)/(-2) - 12)*(-2 - 55/(-35)). Let p(l) = -l + 11. Let y be p(11). Factor y + 0*h + k*h**4 + 3*h**2 + 9/2*h**3.
3*h**2*(h + 1)*(h + 2)/2
Let c(o) be the first derivative of 2*o**5/5 + 10*o**4 + 82*o**3 + 176*o**2 - 640*o - 3391. Factor c(w).
2*(w - 1)*(w + 5)*(w + 8)**2
Let s(g) be the second derivative of 5*g**4/12 - 4735*g**3/6 + 2365*g**2 + 2807*g + 1. Solve s(u) = 0 for u.
1, 946
Let h(r) be the second derivative of 45369*r**4/4 + 213*r**3 + 3*r**2/2 + r + 32. Suppose h(g) = 0. What is g?
-1/213
Let n(c) be the second derivative of c**5/80 - 61*c**4/24 + 195*c**3/8 + 7811*c + 1. Determine a so that n(a) = 0.
0, 5, 117
Let x = -6952 + 6959. Let a(d) be the third derivative of 0 + 5/6*d**4 + 0*d + 12*d**2 - 1/6*d**6 - 1/6*d**5 - 5/6*d**3 + 1/14*d**x. Factor a(m).
5*(m - 1)**2*(m + 1)*(3*m - 1)
What is v in 3/5*v**3 - 3/5*v + 552/5 - 552/5*v**2 = 0?
-1, 1, 184
Suppose -19*k - 848 = -15*k. Let i = -210 - k. Determine l, given that -2/7*l**i + 0*l + 0 = 0.
0
Let b(h) = 3*h**2 + 2. Let d be b(-6). Factor -56 - 3*r + d + r**2 - 52.
(r - 2)*(r - 1)
Let z(x) = 2*x**3 + x - 6. Let k(f) = -3*f**3 + 85*f**2 + 82*f + 12. Let h(t) = 3*k(t) + 6*z(t). Suppose h(s) = 0. What is s?
-84, -1, 0
Let a(m) be the second derivative of -m**6/105 + 341*m**5/70 + 49*m**4/2 + 1031*m**3/21 + 344*m**2/7 + 2914*m - 1. Factor a(l).
-2*(l - 344)*(l + 1)**3/7
Let y(v) = -4*v**4 - 40*v**3 + 127*v**2 - 104*v. Let t(b) = -6*b**4 - 60*b**3 + 192*b**2 - 156*b. Let q(p) = 7*t(p) - 10*y(p). Let q(c) = 0. What is c?
-13, 0, 1, 2
Let m = 1381 - 1385. Let b be m/(-32)*-4*-4. Find h such that 11/4*h**b - 9/4*h**4 + h - 1 - 3/2*h**3 = 0.
-1, 2/3
Let b(y) be the second derivative of y**4/60 - 200*y**3 + 900000*y**2 + 6749*y. What is d in b(d) = 0?
3000
Factor -36*i - 201*i - 24*i - 201 - 339*i + 9*i**2.
3*(i - 67)*(3*i + 1)
Suppose 94*q + 11 = 90*q + 27. Let m(b) be the second derivative of 0 + 1/6*b**3 + 1/28*b**q -