= 0. Calculate a.
2, 11
Let f = -3855/17 + 7829/34. Factor 1/2*o**2 - f*o + 5.
(o - 5)*(o - 2)/2
Factor -26*s - 54*s**2 - 18*s + 3*s**3 - 10*s - 3*s.
3*s*(s - 19)*(s + 1)
Suppose 4*w + 20 = 2*o, 4*o + 3*w = o + 12. Suppose 0 = -o*f - 0*f + 12. Factor -6*j**3 - 2*j**5 + 4*j**3 + 4*j**f + 8*j**3.
-2*j**2*(j - 2)*(j + 1)**2
Let j = 4812 + -38491/8. Let h(w) be the second derivative of 7*w + 0*w**2 + 0 - 5/48*w**4 - j*w**3. Factor h(o).
-5*o*(o + 3)/4
Let x(m) be the second derivative of 0 + 5*m**3 + 1/4*m**4 - 65*m - 9/20*m**5 + 0*m**2. Factor x(v).
-3*v*(v - 2)*(3*v + 5)
Let k(a) be the first derivative of -47/12*a**3 + 27/16*a**4 - a + 36 + 19/6*a**2 - 7/30*a**5. Determine c, given that k(c) = 0.
2/7, 1/2, 2, 3
Let p(t) be the second derivative of -t**9/1200 - t**8/560 - t**7/1050 - 155*t**4/12 + 99*t - 1. Let r(i) be the third derivative of p(i). Factor r(d).
-3*d**2*(3*d + 2)*(7*d + 2)/5
Suppose -218 - 2147 = 5*l. Let j = 44 - l. Find s such that -2*s**4 - 2*s**5 + j - 517 = 0.
-1, 0
Let w be -2 + (-314)/(-652) + (36 - 34). Let y = w - -3/163. Determine m so that -y + 3*m**2 + 3/4*m + 7/4*m**3 = 0.
-1, 2/7
Let z be 29/2 - (-117 - -130). Let j = -589/44 + 150/11. Factor 5/4 + j*k**2 + z*k.
(k + 1)*(k + 5)/4
Let i(p) = -p**3 - 16*p**2 + 18*p + 38. Let v be i(-17). Factor -36 + 3*d**2 + 9 + v*d + 3.
3*(d - 1)*(d + 8)
What is a in 5075*a**3 - 5480*a - 79*a**5 + 5235*a**2 - 70 + 431 - 6292*a**4 + 839 - 143*a**4 + 484*a**5 = 0?
-1, 4/9, 1, 15
Suppose 4*h = 403 - 83. Let 45*v**2 - 2*v**4 + 4*v - h*v**2 + 41*v**2 = 0. Calculate v.
-1, 0, 2
Let o(a) = 3*a**2 + 43*a + 40. Suppose -13*t - 4 = -15*t. Let f(k) = -3*k**2 - 42*k - 39. Let d(p) = t*f(p) + 3*o(p). Let d(l) = 0. What is l?
-14, -1
Let j(y) be the third derivative of y**7/1680 + 77*y**6/960 + 713*y**5/160 + 24863*y**4/192 + 12167*y**3/6 + 1628*y**2. Determine m, given that j(m) = 0.
-23, -8
Let k(m) = 53*m**2 + 273*m - 1206. Let l be k(-8). Factor 496*d - 242/15*d**l + 2/15*d**3 - 480.
2*(d - 60)**2*(d - 1)/15
Let j(v) be the third derivative of v**6/420 + 61*v**5/30 + 851*v**4/84 + 425*v**3/21 - 7774*v**2. What is l in j(l) = 0?
-425, -1
Let b = 185 + -182. Determine j so that -9 + 20*j**2 - 2*j**b - 8*j - 56*j + 73 = 0.
2, 4
Let i(m) be the second derivative of m**6/90 + m**5/30 - m**4/9 - m**3/9 + m**2/2 - 1262*m + 1. What is u in i(u) = 0?
-3, -1, 1
Find p such that 242/7*p**2 - 2/7*p**3 + 1000/7 + 992/7*p = 0.
-2, 125
Let q(n) be the third derivative of -n**8/6720 + n**7/504 + n**6/120 + 2*n**4 + 76*n**2. Let g(j) be the second derivative of q(j). Factor g(f).
-f*(f - 6)*(f + 1)
Let g(x) = 21*x**3 + 216*x**2 + 720*x + 540. Let h(r) = -3*r**3 - 31*r**2 - 103*r - 77. Let v(n) = -2*g(n) - 15*h(n). Suppose v(p) = 0. Calculate p.
-5, -1
Let b be (-22)/(-5) + ((-168)/20 - -8). Factor 0*o - o**2 - 2*o + b*o + 18 + o.
-(o - 6)*(o + 3)
Let r(b) be the first derivative of 190/7*b + 94/7*b**2 - 2/21*b**3 - 58. Factor r(y).
-2*(y - 95)*(y + 1)/7
Let m = -95 + 91. Let i be (3/m)/(51/(-272)). Find u such that -i + 4*u**2 - 28*u - 8 + 36 = 0.
1, 6
Factor -770720*n**5 - 9*n**3 - n**2 + 770721*n**5 + 12*n + 5*n**2.
n*(n - 2)**2*(n + 1)*(n + 3)
Let g(w) be the second derivative of 3*w**5/10 - 123*w**4/4 + 489*w**3/16 - 183*w**2/16 - 1480*w. Find y, given that g(y) = 0.
1/4, 61
Let m(p) = 2425*p**2 + 19840*p + 40015. Let w(o) = o**3 - 1212*o**2 - 9920*o - 20006. Let x(k) = -2*m(k) - 5*w(k). Solve x(q) = 0.
-4, 250
Suppose -188 - 23 = -4*j + k, 5*j - 257 = -k. Suppose -120 = 12*g - j*g. Solve 2/15*a**2 - 8/15 + 8/15*a - 2/15*a**g = 0 for a.
-2, 1, 2
Let r be 16/96 + 119/(-735). Let n(d) be the third derivative of 1/105*d**5 - 31*d**2 - 2/21*d**3 + r*d**6 - 1/42*d**4 + 0*d + 0. Find q such that n(q) = 0.
-1, 1
Let n(z) be the third derivative of -z**8/1176 + z**7/245 + z**6/42 - z**5/7 - 3*z**4/28 + 9*z**3/7 - 35*z**2 + 14*z. Find b, given that n(b) = 0.
-3, -1, 1, 3
Suppose 2*x + 3*y + 12 = 0, 247 - 251 = y. Let l(u) be the third derivative of -1/90*u**5 + x*u**4 + 0 + 0*u + 34*u**2 + 4/9*u**3. Factor l(i).
-2*(i - 2)*(i + 2)/3
Let h(b) be the first derivative of -b**6/9 - 8*b**5/5 + b**4/6 + 8*b**3/3 - 1681. Suppose h(z) = 0. Calculate z.
-12, -1, 0, 1
Suppose 14*j = -194 + 264. Let q be (-8)/((-16)/4)*(6 - j). Solve 121/3 + 1/3*k**q + 22/3*k = 0.
-11
Let p(b) be the second derivative of 3*b**5/20 + 1181*b**4/4 + 348099*b**3/2 - 1047843*b**2/2 + 3*b + 256. What is v in p(v) = 0?
-591, 1
Let h(s) be the first derivative of -s**3/24 - 11*s**2/16 - 640. Solve h(y) = 0 for y.
-11, 0
Let v(l) be the second derivative of -l**6/10 + 1698*l**5/5 - 480534*l**4 + 362642992*l**3 - 153941950104*l**2 - 3*l - 287. What is w in v(w) = 0?
566
Factor -22813*s**2 + 12641*s**2 + 795*s**3 - 25*s**3 - 38*s**4 - 19473*s**2 + 33*s**4.
-5*s**2*(s - 77)**2
Suppose -8 = 2*y - 4*o, 18 - 8 = -3*y + 5*o. Let c(f) be the first derivative of 1/4*f**4 - 14 + 1/3*f**3 + 0*f + y*f**2. Solve c(m) = 0 for m.
-1, 0
Let l(z) be the third derivative of z**6/40 - 5*z**5/4 + 14*z**4 + 294*z**3 - 38*z**2. Factor l(c).
3*(c - 14)**2*(c + 3)
Let z(y) = -4*y**2 - 146*y - 1572. Let i(g) = 3*g**2 + 151*g + 1566. Let v(h) = 6*i(h) + 5*z(h). Factor v(r).
-2*(r - 96)*(r + 8)
Let t be (-6)/(-10) - (-47736)/(-510). Let g = -91 - t. Factor 3/4 - 15/4*w**2 - w**3 - g*w.
-(w + 1)*(w + 3)*(4*w - 1)/4
Let v be 12/(-8)*4/6. Let y be ((-8)/(-5))/(v/(-5)). Factor -y*m - 4 + 17 - 1 - 4*m**2.
-4*(m - 1)*(m + 3)
Let t(q) be the second derivative of -q**5/40 + 7*q**4/8 + 61*q**3/12 - 345*q**2/4 + 2233*q. Determine m so that t(m) = 0.
-5, 3, 23
Let y be (-12)/(-36) + (5 - 96/18). Let n(s) be the second derivative of 2/3*s**3 + 1/3*s**4 + 1/20*s**5 + 0 - 3*s + y*s**2. Factor n(v).
v*(v + 2)**2
Determine a, given that -3066*a + 646*a**2 - 3032 - 6777*a - 761*a - 1232*a**2 + 614*a**2 = 0.
-2/7, 379
Let j be -48*(-8)/(288/207). Let g = j - 273. Suppose 3/4*f + 1/4 + 1/2*f**2 - 1/4*f**5 - 3/4*f**4 - 1/2*f**g = 0. Calculate f.
-1, 1
Suppose -12 - 12 + 5291*i - 5307*i + 14*i**2 = 0. What is i?
-6/7, 2
Let j(a) be the second derivative of 0 + 20/3*a**3 - 4/3*a**4 - 1/10*a**5 + 0*a**2 - 7*a. Suppose j(v) = 0. What is v?
-10, 0, 2
Let p(n) = -2*n**3 - 246*n**2 + 1281*n + 131. Let y be p(-128). What is s in 27/2 - 1/6*s**y - 33/2*s + 19/6*s**2 = 0?
1, 9
Suppose 5*a - 25 = 0, 4*u + 115*a - 120*a = 19. Let v(z) be the first derivative of -1/30*z**3 - 1/40*z**4 + 0*z**2 - u + 0*z. Let v(n) = 0. Calculate n.
-1, 0
Suppose v - 29 = -5*k, 15 + 31 = 4*k - 3*v. Let q(f) be the second derivative of -3/4*f**5 + 0 + k*f + 5/2*f**3 - 5/18*f**4 + 5/3*f**2. Factor q(s).
-5*(s - 1)*(s + 1)*(9*s + 2)/3
Let f be -5 + (12 - (200/16)/5 - 3). Factor -3/2*a + 33*a**2 - 33 + f*a**3.
3*(a - 1)*(a + 1)*(a + 22)/2
Suppose -15*d = -11*d - 5912. Let m = 1480 - d. Factor 0 - 2/5*c**m + 2/5*c**4 - 8/5*c**3 + 8/5*c.
2*c*(c - 4)*(c - 1)*(c + 1)/5
Let y be 87*(-14)/(-84) + -14. Let x(z) be the first derivative of 1/24*z**4 + y*z + 5/18*z**3 + 7/12*z**2 + 32. Find n such that x(n) = 0.
-3, -1
Solve 1083*v - 3/2*v**2 - 390963/2 = 0 for v.
361
Factor -6*q + 8441*q**5 - 11*q**3 - 21*q**2 - 16*q**3 - 8444*q**5 - 15*q**4.
-3*q*(q + 1)**3*(q + 2)
Let a(o) be the first derivative of -o**2 + 4/9*o + 14/27*o**3 + 48. Factor a(n).
2*(n - 1)*(7*n - 2)/9
Let y(k) be the first derivative of 2*k**4/5 - 112*k**3/15 - 59*k**2/5 - 6*k + 8834. Let y(q) = 0. Calculate q.
-1/2, 15
Suppose 5157*z - 2048 - 21*z**2 - 1162 - 16398*z = 0. What is z?
-535, -2/7
Let m(n) = -7 + 2 + 5*n - n**2 + 5 + 2. Let f be m(0). Determine o so that -9*o - 4*o**2 - 44*o - f*o + 15*o**3 + 30 + 19*o**2 - 5*o**4 = 0.
-2, 1, 3
Let k(p) = -2*p**2 - 3*p + 1. Let j = -39 - -40. Let b(a) = a**2 - a - 1. Let c(s) = j*b(s) + k(s). Determine t so that c(t) = 0.
-4, 0
Let x(d) be the second derivative of -d**6/60 - d**5/5 - 11*d**4/12 - 2*d**3 + 57*d**2 - 90*d. Let p(n) be the first derivative of x(n). Solve p(k) = 0.
-3, -2, -1
Let y be (15/(-9))/((-66)/6 - -6) + 6074/3. Factor 45*c**2 + 30375 + y*c + 1/3*c**3.
(c + 45)**3/3
Let l = 13094 - 13090. Let y(h) be the first derivative of 1/36*h**l + 0*h + 1/27*h**3 - 1/9*h**2 + 27. Factor y(z).
z*(z - 1)*(z + 2)/9
Solve 0 + 6/5*h**2 - 122/5*h = 0 for h.
0, 61/3
What is d in 6*d**4 + 30*d + 19*d**3 + 36*d + 47*d + 17