(k - 1)
Let v be 1484/198 + -7*((-1518)/(-189) - 8). Suppose 2*j = -f + 11, 0 = 2*f + 2*j - 11 - 3. Factor v*u + 54/11*u**2 + 10/11*u**f + 24/11.
2*(u + 2)*(u + 3)*(5*u + 2)/11
Suppose -8*b + 48 - 24 = 0. Suppose 0*k + 5*k + b*a - 22 = 0, -20 = -4*k - 3*a. Find m, given that 1/2*m + 1/4*m**3 + 0 - 3/4*m**k = 0.
0, 1, 2
Suppose 3*h + 0*y + 249 = -4*y, 0 = h - 2*y + 73. Let r = 79 + h. Factor -3/2*q**2 - 2*q**3 + 0*q - 1/2*q**4 + r.
-q**2*(q + 1)*(q + 3)/2
Let -4*h**2 + 94663 - 47066 - 46973 - 196*h = 0. What is h?
-52, 3
Let v = -917 - -1329. Let i = v - 2883/7. Factor 0*d - 2/7*d**3 + 0 - 1/7*d**4 + i*d**5 + 0*d**2.
d**3*(d - 2)*(d + 1)/7
What is x in -78/11*x + 2/11*x**2 + 216/11 = 0?
3, 36
Let a be 5 + (-255)/(-15) + -20. Let s(p) be the second derivative of 0*p**a + 0 + 3/20*p**5 + 1/4*p**4 - 3*p**3 - 10*p. What is o in s(o) = 0?
-3, 0, 2
Suppose 87*n + 47 = 308. Factor 6/11*m**n + 1/11*m**4 + 5/11*m**2 + 0*m + 0.
m**2*(m + 1)*(m + 5)/11
Let q(c) = 8*c**2 - 49*c + 258. Let r(a) = a**2 - 10. Let g(h) = 2*q(h) - 14*r(h). Factor g(v).
2*(v - 41)*(v - 8)
Let u(r) be the third derivative of r**4/8 - 11*r**3/6 - 8*r**2. Let h be u(5). Let -4*i**2 - 4*i**2 + h*i**2 - 64 + 76*i - 44*i = 0. What is i?
4
Let q(p) be the second derivative of -3*p**5/50 - 79*p**4/30 - 26*p**3/15 + 2796*p. Solve q(i) = 0 for i.
-26, -1/3, 0
Let b be (-2 + -2)*9*(-51)/918. What is u in 1/2*u**b - 41/2 - 20*u = 0?
-1, 41
Factor 664*t**3 - 439565/2*t**2 + 0 - 442225*t - 1/2*t**4.
-t*(t - 665)**2*(t + 2)/2
Let x be -8 - (((-14)/20)/(-7) - (43899/90 + 2)). Factor -x - 5/3*a**2 - 170/3*a.
-5*(a + 17)**2/3
Suppose 0 = 37*d - 41*d + 16. Factor -d*r**3 + 7*r**2 - 6*r + 17*r**3 - 14*r**3.
-r*(r - 6)*(r - 1)
Let x(i) be the first derivative of i**5/100 + i**4/15 + 18*i + 69. Let u(d) be the first derivative of x(d). Factor u(p).
p**2*(p + 4)/5
Find n, given that 1106/15 + 2/15*n**2 - 1108/15*n = 0.
1, 553
Let a(k) be the third derivative of 68*k**2 + 0 + 0*k + 3/7*k**4 + 1/105*k**5 - 38/21*k**3. Determine v, given that a(v) = 0.
-19, 1
Let m = 42925 + -42923. Factor 1/6*k**m + 54 + 6*k.
(k + 18)**2/6
Let n(s) = 3*s**2 + 693*s + 40. Let w(b) = -24*b**2 - 5544*b - 324. Let q(x) = -81*n(x) - 10*w(x). Determine z, given that q(z) = 0.
-231, 0
Let v be 2/2 - 0 - (-7)/(-1). Let n be 1/((3/12)/((-3)/v)). Find h, given that -2*h**2 - 15*h + 5*h**3 + 35*h + 22*h**n = 0.
-2, 0
Let p(w) be the third derivative of 9*w**8/112 - 3*w**7/7 - 25*w**6/2 - 50*w**5 + 2*w**2 + 945*w. Let p(x) = 0. What is x?
-10/3, 0, 10
Let n be -1 + -6 - (2277/230 + -17). Let b(u) be the third derivative of 0*u - 1/40*u**6 - n*u**5 + u**3 + 0 + 1/8*u**4 - 16*u**2. Factor b(c).
-3*(c - 1)*(c + 1)*(c + 2)
Suppose 258*a - 487*a = -284*a - 245*a + 600. Let -246/5*h**a - 20172/5*h - 1/5*h**3 - 551368/5 = 0. What is h?
-82
Let v = -17599 + 17638. Let m(x) be the third derivative of -1/660*x**6 + 0*x - 1/165*x**5 - 1/132*x**4 + 0*x**3 + 0 + v*x**2. Determine i so that m(i) = 0.
-1, 0
Suppose 9*o = 20 - 2. Let q be (0 - 4) + o/(2/9). Find n such that n**3 + 1/2*n**4 - n**2 - 1/2*n**q + 1/2 - 1/2*n = 0.
-1, 1
Let o = -7033100/93561 - -310/7197. Let c = o + 1020/13. Factor -5*t**2 + 0*t + 0 + c*t**3 + 5/3*t**4.
5*t**2*(t - 1)*(t + 3)/3
Determine s, given that -105/2*s**5 - 605/2*s + 35 + 505*s**4 - 1085*s**3 + 900*s**2 = 0.
2/7, 1/3, 1, 7
Let c(t) be the first derivative of 325 + 6/5*t + 1/5*t**3 - 11/10*t**2 - 1/25*t**5 + 3/20*t**4. Factor c(p).
-(p - 3)*(p - 1)**2*(p + 2)/5
Suppose 0*x + 43 = -2*p - 3*x, 3*p + 4*x = -64. Let a = p + 22. Let 4 + r - 3*r - 2*r**a - r + r = 0. What is r?
-2, 1
Determine n so that 51*n**4 - 253*n**2 - 108*n**4 + 72*n**4 + 250*n + 778*n**2 + 295*n**3 - 5*n**5 = 0.
-5, -1, 0, 10
Determine n, given that 3/2*n**2 + 27*n - 525/2 = 0.
-25, 7
Determine o so that 36876*o**2 + 0*o**3 - 36912*o**2 - 3*o**3 = 0.
-12, 0
Let h = 294 - 3820/13. Let w = -12309/13 + 947. Factor w*z**4 + 6/13*z + 0 - h*z**2 - 6/13*z**3.
2*z*(z - 3)*(z - 1)*(z + 1)/13
Let k(g) be the second derivative of 3888/7*g**2 - 9 - 10*g - 72/7*g**3 + 1/14*g**4. Find b, given that k(b) = 0.
36
Let u(m) be the second derivative of -m**5/60 + 13*m**4/4 - 507*m**3/2 + 19773*m**2/2 - 337*m + 2. Find p such that u(p) = 0.
39
Factor 20 + 3*w - 42*w**2 + 14 + 8 + 13*w**3 - 16*w**3.
-3*(w - 1)*(w + 1)*(w + 14)
Let q(h) be the first derivative of -h**6/36 - h**5/2 - 17*h**4/12 + 2*h**3 + 38*h**2/3 + 16*h - 4027. Solve q(r) = 0.
-12, -2, -1, 2
Let v(y) be the third derivative of -y**7/336 - y**6/96 + y**5/48 - 15*y**3/2 - 70*y**2. Let s(a) be the first derivative of v(a). Find t such that s(t) = 0.
-2, 0, 1/2
Factor 5*x**3 - 1 + 55*x - 3*x**3 + 17*x - 12*x**2 + 25 - 62*x.
2*(x - 4)*(x - 3)*(x + 1)
Determine z, given that 135*z**4 + 375*z**4 - 290*z**4 + 294*z**4 + 456*z**4 - 115164*z**3 - 360150 - 2*z**5 - 593396*z**2 - 837410*z = 0.
-3, -1, 245
Let f = 1006 - 1136. Let m be (310/f - -2)*128/(-5). Solve -32/13*g - m - 2/13*g**2 = 0.
-8
Let z = 105 - 103. Let d(s) = s**3 + 6*s**2 + s - 2. Let f(g) = 4*g**3 + 25*g**2 + 5*g - 7. Let y(l) = z*f(l) - 9*d(l). Suppose y(x) = 0. What is x?
-4, -1, 1
Let r(a) be the third derivative of -1849*a**8/168 + 1333*a**7/15 - 15223*a**6/60 + 8089*a**5/30 - 88*a**4/3 + 4*a**3/3 + 621*a**2. Solve r(d) = 0.
1/43, 1, 2
Let r = -13427 + 13431. Let w(u) be the second derivative of 0*u**r - 2/5*u**5 + 28*u - 2/15*u**6 + 2*u**2 + 4/3*u**3 + 0. Suppose w(m) = 0. What is m?
-1, 1
Let a = 1968 + -41327/21. Let j(b) be the first derivative of -a*b**3 - 2/7*b**2 - 21 - 3/7*b. Determine r so that j(r) = 0.
-3, -1
Let k(z) be the second derivative of -z**5/12 + 5*z**4/3 - 35*z**3/6 - 51*z**2 - 2*z + 4. Let d(y) be the first derivative of k(y). Find i such that d(i) = 0.
1, 7
Let a(c) be the first derivative of 2*c**3/9 - 163*c**2/3 - 328*c/3 - 21. Find x such that a(x) = 0.
-1, 164
Suppose 0 = -152*q - 0*q + 269 + 947. Suppose q + 2/3*s**2 + 14/3*s = 0. What is s?
-4, -3
Let r(c) be the second derivative of -5*c**4/12 + 280*c**3 - 1670*c**2 + 563*c. Let r(o) = 0. What is o?
2, 334
Factor 39/7*p + 3/7*p**3 - 24/7*p**2 - 18/7.
3*(p - 6)*(p - 1)**2/7
Let t(f) = -3*f**3 + 97*f**2 + 47*f - 2528. Let g be t(32). Find n such that 3/7*n**2 + 9/7*n + g = 0.
-3, 0
Suppose 0 = 270*u - 275*u + 10. Factor 2*t**3 + 43 - 10*t + 4*t**u - 31 - 24.
2*(t - 2)*(t + 1)*(t + 3)
Let i(y) = y + 9. Let h be i(-6). Let m be 21*h*2/6. Factor 1 + 5 - m*d**2 + 16*d**2 + 13*d.
-(d - 3)*(5*d + 2)
Suppose 22*y + 84 = -2*a - 110, 5*a = -2*y - 8. Factor 8/3*z**a + 4/3*z**5 + 0 + 0*z + 16/3*z**4 + 20/3*z**3.
4*z**2*(z + 1)**2*(z + 2)/3
Suppose -3*w + 529 = 430. Let v(q) be the third derivative of w*q**2 + 0*q**3 + 0*q + 1/720*q**6 + 0 - 1/72*q**5 - 1/24*q**4. Solve v(y) = 0 for y.
-1, 0, 6
Suppose 0 = -9*a + 629 - 116. Factor 24*r**2 + 38*r - 28 - a*r**2 + 25*r**2 - 2*r**3.
-2*(r - 2)*(r - 1)*(r + 7)
Let h be (0 - (-978)/(-20))/(18/165). Let g = -448 - h. Factor 0 - g*f + 1/8*f**2.
f*(f - 2)/8
Suppose 9*p - 19 = 6 - 0 + 2. Solve -4/7*a**4 + 0*a - 96/7*a**2 + 0 + 8*a**p = 0.
0, 2, 12
Suppose -80*s = -103*s - 184. Let c be (-4 - s)*(-13)/(-338). Solve c*x**4 + 24/13*x**2 + 0 - 12/13*x**3 - 16/13*x = 0.
0, 2
Let w(o) be the third derivative of o**7/42 + o**6/8 - o**5/12 - 5*o**4/8 - 451*o**2. Suppose w(d) = 0. What is d?
-3, -1, 0, 1
Suppose 0 = -3*i + i + 50. Let n = i - 21. Determine h, given that 8*h + n*h**2 - 3*h**2 + 3*h**2 + 4 = 0.
-1
Let p = 2868184/7 - 409740. Let 0 - 4/7*c**3 - 10/7*c**2 + p*c + 10/7*c**4 = 0. What is c?
-1, 0, 2/5, 1
Let n(a) be the first derivative of 2/105*a**5 + 34/63*a**3 - 19/42*a**4 + 19/21*a**2 - 12/7*a + 11. Solve n(u) = 0 for u.
-1, 1, 18
Find a, given that 10 - 152*a**2 + 150*a**2 - 24 - 588*a + 14 = 0.
-294, 0
Let i(x) be the third derivative of x**7/70 + 177*x**6/40 - 3*x**5/20 - 533*x**4/8 - 177*x**3 + 164*x**2 - x - 3. Suppose i(r) = 0. What is r?
-177, -1, 2
Suppose 0 = j + 3*w, j + 0*w - 3*w - 30 = 0. Factor -6*h**2 + 5*h - 13*h + j*h**2 + 4 - 5*h**2.
4*(h - 1)**2
Let k(f) be the second derivative of 10*f**7/21 + 526*f**6/15 + 3974*f**5/5 + 4256*f**4 - 3840*f**3 + 7721*f. Let k(n) = 0. Calculate n.
-24, -5, 0, 2/5
Factor 524784*x**2 + 464*x**3 + 49724683424 + 2/13*x**4 + 263791424*x.
2*(x + 754)**4/13
Let s(v) = 108*v**2