= 0. Calculate g.
-4, -3, 0
Let g(n) be the third derivative of n**8/2800 - n**7/140 + 17*n**6/600 - n**5/25 - 71*n**3/3 - 45*n**2. Let d(z) be the first derivative of g(z). Factor d(y).
3*y*(y - 8)*(y - 1)**2/5
Let o(h) = h**2 + 15*h + 17. Let d be o(-14). Suppose -d*q + 5 = -1, 2 = -2*n + 4*q. Determine t so that 0*t**n + t**3 + 6*t**2 - 2*t**2 + t**3 = 0.
-2, 0
Let w(p) be the second derivative of -p**5/40 + 55*p**4/6 + 667*p**3/12 + 223*p**2/2 + 6916*p. Factor w(s).
-(s - 223)*(s + 1)*(s + 2)/2
Solve -20*u + 2/3*u**2 + 58/3 = 0.
1, 29
Let b(v) be the third derivative of v**8/336 - v**7/105 - v**6/40 + v**5/15 + v**4/6 + 6*v**2 - 151*v. What is k in b(k) = 0?
-1, 0, 2
Find v, given that -2/5*v**2 - 112/5*v + 122 = 0.
-61, 5
Factor -2/9*b**3 + 0 - 22/3*b**2 + 68/9*b.
-2*b*(b - 1)*(b + 34)/9
Let y(b) = -12*b**2 + 336*b - 1124. Let j(f) = 7*f**2 - 224*f + 749. Let z(c) = 8*j(c) + 5*y(c). Factor z(m).
-4*(m - 3)*(m + 31)
Let d = 294 + -312. Let l be (14/(-126))/(4/d). Factor -3/4*i**2 + 1/2*i**3 - l*i + 0.
i*(i - 2)*(2*i + 1)/4
Suppose 1127*m - 1139*m = -336. Let a be (21/m)/((4 + -3)/4). Find c, given that 0 - 2/11*c**a - 4/11*c**2 - 2/11*c = 0.
-1, 0
Let k(g) = -48*g**2 - 240*g + 399. Let q(b) = 7*b**2 + 40*b - 66. Let j(z) = 2*k(z) + 13*q(z). Let j(h) = 0. Calculate h.
2, 6
Let i(y) be the third derivative of y**5/75 + 6*y**4/5 + 66*y**3/5 - 564*y**2. Factor i(t).
4*(t + 3)*(t + 33)/5
Suppose -3*g = -2*t + 20, 3*g = 2*g - t - 10. Let i be 551/532 + (30/g)/5. Factor -6/7*d + i*d**3 + 0*d**2 + 4/7.
2*(d - 1)**2*(d + 2)/7
Let q be 8/(39 - 30000/780). Solve -6/7*t**5 + 100/7 - q*t**3 - 156/7*t**2 + 110/7*t + 8*t**4 = 0 for t.
-1, -2/3, 1, 5
Factor -21*f**2 - 108*f**2 + 2961*f + 126*f**2 - 909*f.
-3*f*(f - 684)
Determine k so that 1576/3*k + 4678*k**3 - 15280/3*k**2 + 24*k**4 + 1568/3 = 0.
-196, -1/4, 2/3
Let x be 13132/1340*90/231. Let 4/11 + 38/11*m**2 - x*m = 0. What is m?
2/19, 1
Suppose -3*x = 4*y - 5, 5*x + 11 = 6. Let f(a) be the second derivative of 2*a - 1 - 1/18*a**4 + 2/3*a**y + 7/27*a**3. What is r in f(r) = 0?
-2/3, 3
Let v(l) be the first derivative of -2*l**3/21 + l**2 + 396*l/7 + 13501. Solve v(p) = 0 for p.
-11, 18
Suppose -12*y - 496 + 534 = 7*y. Let a(i) be the first derivative of 16*i**y + 28*i + 4/3*i**3 + 34. Solve a(r) = 0.
-7, -1
Suppose z + 9 = 14. Suppose 6*q + z*y - 16 = 3*q, -5*q + 5*y = 0. Let 2*l**2 + 3*l**q + 15*l**3 - 3*l**3 - l**2 = 0. What is l?
-1/3, 0
Factor -120/7*y**2 - 3/7*y**3 + 813/7*y - 690/7.
-3*(y - 5)*(y - 1)*(y + 46)/7
Suppose 0 = 5*z - 22 + 97. Let o(q) = 2*q**2 + 25*q - 71. Let i be o(z). Factor 0*t - 7/2*t**3 + 0 + t**2 - 2*t**i.
-t**2*(t + 2)*(4*t - 1)/2
Suppose 46*d + 60 = 40*d. Let c(j) = -2*j**2 - 3*j + 6. Let p(h) = 6*h**2 + 10*h - 20. Let v(w) = d*c(w) - 3*p(w). Factor v(q).
2*q**2
Let y = -17 - -104. Suppose 0 = 4*i - y*d + 89*d, 3*i + 5*d + 14 = 0. Find b, given that 1/4*b + 3/4*b**3 + 0 + 3/4*b**i + 1/4*b**4 = 0.
-1, 0
Suppose 2*u - u - 4*d - 14 = 0, 0 = 3*u - 5*d - 21. Factor -649/4*q**u - 181/4*q**3 + 363/8*q - 33/8*q**4 - 1/8*q**5 + 1331/8.
-(q - 1)*(q + 1)*(q + 11)**3/8
Let -707/3*k - 59/3 + 4*k**2 = 0. What is k?
-1/12, 59
Let x(u) = -u**2 + 24*u + 2. Let c be x(24). Solve -5*g**c - 83 + 113*g - 147*g + 4*g**2 - 206 = 0 for g.
-17
Let r be 6*((-2888)/(-48) + -8). Determine s, given that -438 - 3 - 355*s - s**2 + r*s = 0.
-21
Let v = -185/28 - -199/28. Let x(r) be the second derivative of -1/6*r**6 - 6*r + 0*r**3 + v*r**5 + 0 + 0*r**2 - 5/12*r**4. Let x(s) = 0. Calculate s.
0, 1
Let i(u) = u**2 - 7*u + 2. Let m(g) = 450*g + 420. Let n(c) = 3*i(c) + m(c). Factor n(o).
3*(o + 1)*(o + 142)
Let n(y) be the third derivative of -y**5/120 + 223*y**4/48 - 221*y**3/6 + 339*y**2 - 2*y. Factor n(l).
-(l - 221)*(l - 2)/2
Suppose -x + 78 - 257 = 5*k, 0 = 3*x - 3. Let m be -58*(-6)/k - -10. Find q, given that -13/6*q**2 + m*q + 9/2*q**3 + 7/6*q**5 + 0 - 23/6*q**4 = 0.
0, 2/7, 1
Let u(l) be the second derivative of 0*l**5 - 5*l**3 + 1/6*l**6 - 35/12*l**4 + 0*l**2 + 0 - 115*l. Find n such that u(n) = 0.
-2, -1, 0, 3
Let d(k) be the third derivative of -7*k**6/30 - k**5 - k**4/3 + 3*k**2 + 424*k. Suppose d(v) = 0. Calculate v.
-2, -1/7, 0
Let d = -11855 - -11862. Let f(c) be the third derivative of 1/165*c**6 + 0*c**3 + 0*c + 31*c**2 + 0*c**4 - 1/1155*c**d - 2/165*c**5 + 0. Factor f(h).
-2*h**2*(h - 2)**2/11
Suppose -t = 3*r + 21, 68 = -4*t - r - 71. Let w = -33 - t. Determine f so that 7/2*f**2 + 7*f**w - 2*f + 0 + 3/2*f**4 = 0.
-4, -1, 0, 1/3
Let c be -1*(-11 - (4086/(-396) - 2/11)). Factor 1/2*y**5 - 5/2*y**3 - 1/2*y**4 + 2 + c*y**2 + 4*y.
(y - 2)**2*(y + 1)**3/2
Let f = 702259 - 702243. Factor f*m**2 + 0 - 2/3*m**4 - 56/3*m - 2*m**3.
-2*m*(m - 2)**2*(m + 7)/3
Let m(r) be the first derivative of r**4/8 - 28*r**3/3 + 293*r**2/4 + 175*r + 4582. Factor m(q).
(q - 50)*(q - 7)*(q + 1)/2
Let u(t) = 15*t**3 - 125*t**2 + 160*t + 240. Let v(j) = -5*j**3 + 41*j**2 - 52*j - 80. Let s(w) = 3*u(w) + 10*v(w). Factor s(h).
-5*(h - 4)**2*(h + 1)
Suppose -11*y + 36*y = 201*y + 48*y. Let i(h) be the second derivative of -2/3*h**3 + 3/20*h**5 + 25*h + 0*h**2 + 0 + y*h**4 + 1/30*h**6. Factor i(v).
v*(v - 1)*(v + 2)**2
What is m in -40000 + 251*m**3 + 19*m**4 - 15*m**4 - 8*m**4 - 80800*m - 41604*m**2 - 314*m**3 - 745*m**3 = 0?
-100, -1
Suppose 0 = -b - 5*t - 57, -54 - 6 = -t + 6*t. Determine q, given that 18/19*q + 8/19 + 12/19*q**2 + 2/19*q**b = 0.
-4, -1
Let b = 47 - 62. Let i be ((-36)/b)/((-6)/(-15)). Find m, given that 4*m**2 + 3*m**3 - 3*m - i*m**4 + 1 + 5 + 4*m**4 - 8 = 0.
-1, -1/2, 1, 2
Determine m so that -71*m**2 - 119*m - 215*m**2 - 123*m + 2901 - 2901 - 46*m**3 - 2*m**4 = 0.
-11, -1, 0
Let l(n) be the second derivative of 3/2*n**2 - n - 3/14*n**3 - 1/4*n**4 + 9/140*n**5 + 45. Let l(u) = 0. Calculate u.
-1, 1, 7/3
Let h(g) be the second derivative of -g**5/220 - 85*g**4/132 + g**3/66 + 85*g**2/22 + 1118*g. Find b such that h(b) = 0.
-85, -1, 1
Let r(c) = 9*c**2 + 9*c - 18. Let a(k) = 4*k**2 - 3*k + 10 - 4 - 7*k**2. Suppose -33 - 33 = 6*y. Let z(g) = y*a(g) - 4*r(g). Suppose z(l) = 0. What is l?
-2, 1
Let y(i) = -i + 56. Let m be y(27). Let w be (m/(-2) - -2)*4/(-20). Find z, given that 25*z + w*z**2 + 125/2 = 0.
-5
Let r(b) be the third derivative of -b**7/1050 + 47*b**6/600 - 263*b**5/150 - 28*b**4/5 + 192*b**3/5 + 4629*b**2. Suppose r(k) = 0. What is k?
-2, 1, 24
What is o in 45 - 475/6*o**2 - 55/2*o = 0?
-18/19, 3/5
Factor 205/4*n - 409/4*n**2 + 1/4*n**4 + 203/4*n**3 + 0.
n*(n - 1)**2*(n + 205)/4
Let s be ((-140)/(-21))/((-21)/(-6)*(19 + 2264/(-120))). Suppose 4/7*z**4 - s*z**3 + 104/7 - 108/7*z**2 + 100/7*z = 0. Calculate z.
-1, 1, 26
Let s = 502/2853 + -820/37089. Determine x, given that s*x**2 + 0 + 58/13*x = 0.
-29, 0
Let h(k) be the third derivative of -2*k**7/105 - k**6/10 + 2*k**5/5 + 4*k**4/3 - 2*k**2 - 707*k. Factor h(i).
-4*i*(i - 2)*(i + 1)*(i + 4)
Factor -512/9*q - 344/9 + 2/3*q**2.
2*(q - 86)*(3*q + 2)/9
Suppose 28 = u + 5*o, -u - 3*o = 9 - 27. Factor -43*f**3 + 207*f**4 + 194*f**4 - 380*f**4 + u*f + 21*f**2 - 2.
(f - 1)**2*(3*f - 1)*(7*f + 2)
Find w, given that 406/3 - 1625/6*w + 407/3*w**2 - 1/6*w**3 = 0.
1, 812
Let k(y) = 2*y**3 + 5*y**2 + 18*y + 1. Let g(p) = -6*p - p - p**3 - 123 + 122 + 4*p - 3*p**2 - 6*p. Let x = 10 + -4. Let s(a) = x*k(a) + 14*g(a). Factor s(z).
-2*(z + 1)**2*(z + 4)
Suppose -3*q + 19 = 5*f, 0 = -f - 0*q + 4*q - 10. Let u = f - -1. Let 5*d**u - 11*d**2 - 12 + 31*d**2 - d - 4*d - 8 = 0. Calculate d.
-4, -1, 1
Let k(b) be the third derivative of -b**8/560 + 54*b**7/175 - 1161*b**6/50 + 4968*b**5/5 - 132192*b**4/5 + 2239488*b**3/5 + 48*b**2 - 10*b. Factor k(r).
-3*(r - 24)**3*(r - 18)**2/5
Let c be 1 - ((-54)/(-12) + -6)*(-10)/(-5). Let d(i) be the second derivative of -1/8*i**c - 15/4*i**2 + 3/2*i**3 - 5*i + 0. Factor d(j).
-3*(j - 5)*(j - 1)/2
Let a = -172060 - -172063. Determine t so that 0 - 8/7*t**2 + 2/7*t**a + 8/7*t = 0.
0, 2
Determine x so that -8/3 - x**4 + 11/3*x**2 + 2/3*x - 2/3*x**3 = 0.
-2, -1, 1, 4/3
Let u(z) be the first derivative of 5*z**4/8 + 133*z**3/6 + 39*z**2/2 + 2699. Find o such that u(o) = 0.
-26, -3/5, 0
Suppose -9*g - 30 = 51. Let j be 6/g*((-134)/(-20) + -7). Factor -j*a**5 + 3/5*a + 0 + 6/5*a**3 + 0*a**4 + 8/5*a**2.
-a*(a - 3)*(a + 1)**3/