*s**7/105 + 53*s**6/30 - 68*s**5/15 + 2*s**4 - 3*s**2 - 7*s + 23. Suppose f(o) = 0. What is o?
-1, 0, 1/4, 2/5, 6
Let x be (4 - 98/24) + 20/120. Let i(y) be the third derivative of 0 + 16*y**2 + 5/6*y**4 + 0*y - 25/6*y**3 + x*y**5. Factor i(q).
5*(q - 1)*(q + 5)
Let o be (-1)/((-2)/48*2). Let l = -140 + 165. Factor -45 - 60*i + o*i**2 + l + 23*i**2.
5*(i - 2)*(7*i + 2)
Let w(x) = 10*x**2 - 40*x - 116. Let v be w(6). Let l(n) be the second derivative of -6/5*n**2 + 0 - 12*n - 1/20*n**v + 2/5*n**3. Solve l(z) = 0 for z.
2
Let x(y) be the second derivative of -4/9*y**3 - 11/18*y**4 + 1/10*y**5 + 0 + 223*y + 0*y**2. Let x(n) = 0. What is n?
-1/3, 0, 4
Suppose -31*k = -5*k + 46*k - 144. Factor 0 + i - 7/4*i**4 - 9/4*i**3 + 3*i**k.
-i*(i - 1)*(i + 2)*(7*i + 2)/4
Let m(q) be the first derivative of -101 - 2/11*q**4 - q**2 - 8/11*q - 7/11*q**3 - 1/55*q**5. Factor m(d).
-(d + 1)**2*(d + 2)*(d + 4)/11
Suppose -105 = -8*w - 13*w. Let b(h) = -10*h**2 + 12*h + 16. Let f(l) = -4*l**2 + 5*l + 6. Let k(t) = w*b(t) - 12*f(t). Factor k(x).
-2*(x - 2)*(x + 2)
Let p(g) be the third derivative of -g**5/80 - 1183*g**4/16 - 1399489*g**3/8 + g**2 - 2*g + 1226. Factor p(z).
-3*(z + 1183)**2/4
Let o(j) be the first derivative of 2*j**3/57 + 622*j**2/19 - 3261. Factor o(l).
2*l*(l + 622)/19
Factor -362/5*t**2 - 8/5 + 368/5*t + 18*t**3.
2*(t - 2)**2*(45*t - 1)/5
Let s(a) = -2*a**4 + a - 1. Let r(t) = 309*t**4 + 837*t**3 + 882*t**2 + 406*t + 78. Let o(j) = -r(j) - 6*s(j). Factor o(z).
-(3*z + 2)**3*(11*z + 9)
Let a(z) be the first derivative of -1/4*z**3 + 1/24*z**4 - 7*z**2 + 7 + 1/120*z**5 + 0*z. Let n(k) be the second derivative of a(k). Factor n(u).
(u - 1)*(u + 3)/2
Let k(q) be the second derivative of 5*q**4/12 - 25*q**3/2 + 135*q**2 - 2*q + 516. Find d, given that k(d) = 0.
6, 9
Let c(s) be the first derivative of s**6/16 - 9*s**5/8 - 27*s**4/16 + 567*s**3/4 - 15309*s**2/16 + 19683*s/8 + 7166. Solve c(b) = 0.
-9, 3, 9
Suppose 16*n - 25*n = -9. Let q be n/(-5) + (-21)/(-55). Factor 0*a - 2/11*a**3 + q*a**5 + 2/11*a**4 - 2/11*a**2 + 0.
2*a**2*(a - 1)*(a + 1)**2/11
Let j = -4714869/5 - -942976. Suppose -12/5 + j*p**2 - 13/5*p + 1/5*p**4 + 13/5*p**3 = 0. What is p?
-12, -1, 1
Factor 192*c + 1728 + 98/3*c**3 - 812/3*c**2.
2*(c + 2)*(7*c - 36)**2/3
Find s such that 33/7*s**2 - 87/7*s - 117/7 + 3/7*s**3 = 0.
-13, -1, 3
Suppose -5*r = 901 - 916. Factor -63*d - 45*d**2 - 113*d**3 - 45 - 102*d - 45*d**4 - 37*d**r - 5*d**5 - 185*d**2.
-5*(d + 1)**3*(d + 3)**2
Let w(i) = -5*i**5 - 5*i**4 - 9*i**3 + 3*i**2 + 8*i + 4. Let u(j) = 7*j**5 + 5*j**4 + 10*j**3 - 4*j**2 - 8*j - 4. Let x(y) = 2*u(y) + 3*w(y). Factor x(o).
-(o - 1)*(o + 1)**2*(o + 2)**2
Let h(c) be the first derivative of -2*c**3/9 + 766*c**2/3 - 293378*c/3 + 1196. Factor h(z).
-2*(z - 383)**2/3
Suppose 0 = -4*m + 5*c - 40, 370*m - 374*m - 8 = -c. Factor 2/17*h**3 + m*h + 56/17*h**2 + 0.
2*h**2*(h + 28)/17
Let h(q) be the third derivative of q**5/20 - 15*q**4/4 + 28*q**3 - 33*q**2 - 3. Factor h(t).
3*(t - 28)*(t - 2)
Suppose 0 = -y + 1886 - 1882. Suppose 0 = 3*q + y*k + 8, 5*q + k - 3 = 3*q. Suppose 6/11 - 8/11*h - 2/11*h**q + 8/11*h**3 - 4/11*h**2 = 0. Calculate h.
-1, 1, 3
What is z in 14025*z - 2*z**2 - 30459651 + 860833 + 6270*z - 4907*z = 0?
3847
Let h(n) = -n**2 - 8*n + 184. Let b be h(-18). Suppose b*s - 5 = 5*m - 15, s - 2 = -m. What is t in -2/11*t**3 + s + 8/11*t**2 + 0*t = 0?
0, 4
Let m(a) = -a**2 + a - 1. Let i(h) = h + 1. Let z(s) = 64 - 30 - 36 + 4*s. Let y(l) = i(l) - z(l). Let n(p) = -3*m(p) + 3*y(p). Determine x so that n(x) = 0.
2
Factor -2/5*u**3 - 96/5*u + 52/5*u**2 + 0.
-2*u*(u - 24)*(u - 2)/5
Suppose -20*p + 239424 = 4*p. Find w, given that 15*w**5 - 45*w - 4979 - 4987 + 40*w**2 - 50*w**4 + p + 30*w**3 = 0.
-1, 1/3, 1, 2
Let q be (-25*11/550*15)/(-1). Factor 1 - 11/2*p**3 - q*p + 12*p**2.
-(p - 1)**2*(11*p - 2)/2
Solve -2/7*g**2 - 1312200/7 + 3240/7*g = 0 for g.
810
Factor -79 + 29*d - 5*d**2 + 1077 + 52 + 26*d.
-5*(d - 21)*(d + 10)
Let i = -130403 - -130405. Factor 5/2*h**3 + 0 + 85/2*h**i + 0*h.
5*h**2*(h + 17)/2
Let g(d) be the first derivative of -7/20*d**5 + 0*d + 0*d**2 + 0*d**3 - 3/8*d**4 - 162 - 1/24*d**6. Factor g(k).
-k**3*(k + 1)*(k + 6)/4
Let 153/5*s - 48*s**4 - 174/5*s**3 + 348/5*s**2 + 21/5*s**5 - 108/5 = 0. Calculate s.
-1, 3/7, 1, 12
Determine x so that 3/4*x**2 + 150 + 603/4*x = 0.
-200, -1
Let j(l) be the first derivative of l**3/4 + 99*l**2/8 + 273*l/2 + 1309. Determine c so that j(c) = 0.
-26, -7
Let f be ((-6)/(-24) + (-28)/(-80))/1. Determine u so that 6/5*u + 0 + f*u**2 = 0.
-2, 0
Let n(o) be the first derivative of 33 + 0*o + 4*o**3 - 1/360*o**6 - 1/12*o**4 + 0*o**2 - 1/40*o**5. Let k(a) be the third derivative of n(a). Factor k(u).
-(u + 1)*(u + 2)
Factor -16*p**2 + 1/3*p**3 - 185*p - 1450/3.
(p - 58)*(p + 5)**2/3
Determine b, given that -b**2 - 1/8*b**3 - 11/4 + 31/8*b = 0.
-11, 1, 2
Let t be (-2171)/(-936) - ((-124)/(-32) + -4 + 0). Determine w, given that -26/9*w**2 + 2/9*w**3 + 46/9*w - t = 0.
1, 11
Let p(i) be the second derivative of -26*i + 1/4*i**4 + 1944*i**2 + 0 - 36*i**3. Find n, given that p(n) = 0.
36
Suppose -p + 2*u = 3, -4*p - 18*u + 15*u = -21. Suppose -9 = f - p*c, 5*c - 8 = 5*f + 7. Factor -7/6*b**2 + 2/3*b + 1/6*b**4 + f + 1/3*b**3.
b*(b - 1)**2*(b + 4)/6
Let k be (-204)/(-4284) + 111/315. Solve 8*c + 36/5*c**2 - k*c**4 + 14/5 + 8/5*c**3 = 0.
-1, 7
Let k be (3 - 6) + 27 + -21. Let n be ((-8)/10)/(1/(-10)). Factor 0*h**5 - n*h**3 - 8*h**k + 6*h**2 + 12*h**4 + h**3 - 3*h**5.
-3*h**2*(h - 2)*(h - 1)**2
Let y(d) be the third derivative of -d**5/140 - 639*d**4/56 - 91*d**3 + 4719*d**2. Factor y(w).
-3*(w + 2)*(w + 637)/7
Let g be 184/69 + (-4 - (14 + -18)). Factor -22/3*r**2 + g*r**3 + 4*r + 2/3*r**4 + 0.
2*r*(r - 1)**2*(r + 6)/3
Let b be 78851/145 - (1 - -1). Let c = b - 541. Let -2/5*s**2 + 2/5*s + c = 0. What is s?
-1, 2
Let h(s) be the third derivative of 2*s + 1/210*s**5 + 30*s**2 + 0 + 2/3*s**3 + 3/28*s**4. Factor h(l).
2*(l + 2)*(l + 7)/7
Let a(k) = 5617*k - 44936. Let n be a(8). Determine d, given that -110/9*d**2 + n + 4*d + 38/3*d**3 + 2/9*d**5 - 14/3*d**4 = 0.
0, 1, 18
Let t(k) be the second derivative of -k**6/40 - k**5/75 + k**4/30 + 8*k**2 + 20*k + 3. Let g(r) be the first derivative of t(r). Solve g(s) = 0 for s.
-2/3, 0, 2/5
Let c(f) be the first derivative of f**5/150 - f**4/15 + 77*f**2/2 - 60. Let x(s) be the second derivative of c(s). Determine a so that x(a) = 0.
0, 4
Let x(v) be the first derivative of -v**5/20 + v**4/4 - 67*v**2 - 138. Let q(s) be the second derivative of x(s). Find t such that q(t) = 0.
0, 2
Let g(a) be the second derivative of 25*a**7/189 + 7*a**6/27 - 4*a**5/15 - 2*a**4/3 - 576*a + 3. Find w, given that g(w) = 0.
-6/5, 0, 1
Solve 27/4*g**3 - 3/4*g**2 + 3/4*g**4 + 0 - 27/4*g = 0.
-9, -1, 0, 1
Let f be (124/434)/((-1)/31) - (-14 + 6 + -1). Factor -q + 18/7 - f*q**2.
-(q - 2)*(q + 9)/7
Find i, given that 3534*i**2 - 17672/5 + 376/5*i**3 + 2/5*i**4 - 376/5*i = 0.
-94, -1, 1
Suppose -24 = -5*i + 4*z, -3*z - 85 = -67. Let j(r) = -r - 6. Let w be j(-6). Let 8/3*c**4 - 8/3*c**2 - 4/3*c + w + i*c**3 + 4/3*c**5 = 0. What is c?
-1, 0, 1
Let z = 3049921/11 + -277531. Let p = z + 266. Factor 20/11*t + p + 12/11*t**3 + 24/11*t**2 + 2/11*t**4.
2*(t + 1)**3*(t + 3)/11
Let f(g) be the first derivative of -5/16*g**4 - 3*g + 113 + 5/2*g**2 + 1/4*g**3. Find r, given that f(r) = 0.
-2, 3/5, 2
Determine i so that 6*i**4 - 6174/5*i - 1372/5*i**2 + 28/5*i**3 - 4802/5 + 2/5*i**5 = 0.
-7, -1, 7
Suppose -i = y - 7, 1141*i + 5*y - 21 = 1143*i. Factor 1/6*f**3 + 8*f - 32/3 + 5/2*f**i.
(f - 1)*(f + 8)**2/6
Let y(b) = 6*b**3 + 104*b**2 - 331*b + 35. Let i(d) = 2*d**3 + 34*d**2 - 110*d + 10. Let c(u) = 7*i(u) - 2*y(u). Let c(j) = 0. What is j?
-18, 0, 3
Let w(f) be the second derivative of -45/16*f**2 + 23/16*f**3 + 71*f + 0 - 9/32*f**4 + 3/160*f**5. Suppose w(y) = 0. What is y?
1, 3, 5
Factor -5*a + 954/7 - 1/7*a**2.
-(a - 18)*(a + 53)/7
Let 4/7*j**4 - 40/7*j + 44/7 - 48/7*j**2 + 40/7*j**3 = 0. Calculate j.
-11, -1, 1
Suppose 14829750 + 1163*q**2 - 130743*q - 101965*q + 4558*q + 7*q**2 - 2*q**3 = 0. Calculate q.
195
Factor -18050/9 + 380/9*z - 2/9*z**2.
-2*(z - 95)**2/9
Let o(i) be the third derivative of i**10/166320 + i**9/41580 + 25*i**4/4 