f(o).
2*(o + 1)**2*(8*o - 1)/3
Factor -63/2*s**2 - 46/3 - 116/3*s - 25/3*s**3 - 1/6*s**4.
-(s + 1)**2*(s + 2)*(s + 46)/6
Let z(s) = 217*s - 106328. Let o be z(490). Determine t so that 3/4 - 1/4*t**o + 1/2*t = 0.
-1, 3
Let p(d) = 3*d + 41. Let m be p(-13). Factor -176*i - 15*i**2 - 13*i**m + 120 - 60*i + 20*i**2.
-4*(i + 30)*(2*i - 1)
Let g(x) be the first derivative of -x**5/10 - 5*x**4/6 - 4*x**3/3 + 129*x - 253. Let j(d) be the first derivative of g(d). Determine m so that j(m) = 0.
-4, -1, 0
Let i = 1893019/2 - 946502. Factor 21/2*w**3 + i*w - 33/2*w**2 - 3/2*w**4 + 0.
-3*w*(w - 5)*(w - 1)**2/2
Let y = 79 + -75. Let x be y*(-5)/(-30)*3. Let -21 - 9*t**x + 4*t**3 - t**3 - 3*t + 2*t**4 + 27 + t**4 = 0. What is t?
-2, -1, 1
Let y(h) be the first derivative of -2*h**5/9 - 13*h**4/2 - 104*h**3/9 - 44*h**2/9 - 1232. Solve y(q) = 0.
-22, -1, -2/5, 0
Let j = -74 - -78. Suppose 13 = 5*v - a, -15 = -3*v + 3*a - 0*a. Let v*k**2 - 3*k**4 - 5*k**j + 4*k**5 - 4*k + 6*k**2 = 0. Calculate k.
-1, 0, 1
Factor 25*x**2 - 257*x + 36900 - 37080 - 55*x**3 - 5*x**4 - 88*x - 240*x**2.
-5*(x + 1)*(x + 3)**2*(x + 4)
Factor 0 - 16*g**3 - 2/11*g**5 - 48/11*g**4 + 1344/11*g**2 - 1568/11*g.
-2*g*(g - 2)**2*(g + 14)**2/11
Let g(l) = -l**2 - 4*l + 5. Suppose -2*i - 7 = 3*o, 0*o + 3*i + 14 = -o. Let f(z) = 33*z - o - 37*z + 5. Let b(v) = 3*f(v) - 4*g(v). Factor b(y).
4*(y - 1)*(y + 2)
Let r = -544 - -671. Suppose -23 + 46*s + 3*s**2 - 2*s**2 + 59*s + 0*s**2 - r*s = 0. What is s?
-1, 23
Let v(q) be the second derivative of 0 - 1/40*q**5 + 7/120*q**6 + 0*q**4 + 80*q + 0*q**3 + 0*q**2. Determine c, given that v(c) = 0.
0, 2/7
Let y(i) be the third derivative of -2*i**7/735 + 2*i**6/105 + i**5/105 - 2*i**4/21 + 3742*i**2. Determine f so that y(f) = 0.
-1, 0, 1, 4
Let u be (160/(-184))/((-213)/(-214) + -1). Let m = u - 186. Suppose 12/23*o**2 - 10/23*o**3 + 8/23*o - 16/23 + m*o**4 = 0. What is o?
-1, 2
Let g(y) = 5*y**3 - 22*y**2 - 37*y - 20. Let i(u) = 3*u**3 - u**2 - 1. Let z(s) = g(s) - 2*i(s). Factor z(f).
-(f + 1)**2*(f + 18)
Let g(h) = -7*h**2 - 12. Let m(k) = -6*k**2 + 3*k + 7. Let v(j) = j + 4. Let f(n) = -m(n) + 4*v(n). Let z(c) = -4*f(c) - 3*g(c). Factor z(b).
-b*(3*b + 4)
Let u(g) be the third derivative of g**8/10080 - g**7/1260 - 11*g**5/60 - g**4/12 + 7*g**2. Let k(x) be the third derivative of u(x). Find s such that k(s) = 0.
0, 2
Suppose 3*p - 89 - 1 = 0. Suppose 3*y + p - 39 = 0. Factor -4/3*a + 2*a**y + 0 - 2/3*a**2.
2*a*(a - 1)*(3*a + 2)/3
Let z be 4/65*(2025/(-6) + 1). Let b = -102/5 - z. Factor 6/13*t**2 + 0 + 0*t - b*t**3 - 2/13*t**4.
-2*t**2*(t - 1)*(t + 3)/13
Let c(b) be the first derivative of 34 - 2/27*b**6 - 1/3*b**4 + 0*b**2 + 4/9*b**5 + 0*b - 4/3*b**3. Determine p so that c(p) = 0.
-1, 0, 3
Let d = -20979 + 20979. Let p(f) be the third derivative of 22*f**2 - 7/30*f**4 - 1/150*f**5 + 0*f - 49/15*f**3 + d. Factor p(v).
-2*(v + 7)**2/5
Let o be (-45)/(-40)*(0 + 8). Factor -5*r + o*r**2 + 3*r**2 - 5*r + 2*r**2 - 2*r.
2*r*(7*r - 6)
Let d be (-26)/30 + 1 + 42384/720. Factor -31*t**3 - 5*t**2 - d*t**3 + 80*t + 10*t + 5*t**4 + 0*t**2.
5*t*(t - 18)*(t - 1)*(t + 1)
Suppose -27/2 - 1/6*p**2 - 3*p = 0. Calculate p.
-9
Let j = 1910 - 1910. Let g(q) be the second derivative of 0*q**2 - 2/3*q**3 + 1/3*q**4 - 10*q + j. Factor g(h).
4*h*(h - 1)
Let 1869354*h + 253*h**2 - 1869352*h + 154*h**2 = 0. What is h?
-2/407, 0
Let h = -189312 - -378625/2. Factor 26*a**2 + 338*a + 0 + h*a**3.
a*(a + 26)**2/2
Let c(j) = 13*j + 120. Let x be c(-9). Solve -151 - 28*n - 11*n**2 - 30*n**2 + 79 - 110*n + 8*n**x + 3*n**4 = 0.
-3, -2/3, 4
Suppose -4*d + 93*f + 1 = 94*f, d - 9 = f. Let y(c) be the second derivative of 0 - 4/9*c**d - 19*c - 7/54*c**4 - 16/27*c**3. Find k, given that y(k) = 0.
-2, -2/7
Let p = -92 + 97. Suppose -8 - 2 = -p*f, 3*f = 3*q + 6. Factor q + 2/15*u**2 - 2/15*u.
2*u*(u - 1)/15
Factor 0 - 55/2*v**2 - 53*v + 1/2*v**4 + 26*v**3.
v*(v - 2)*(v + 1)*(v + 53)/2
Let s = 5690987/729615 - -2/145923. Suppose 39/5*m**2 - 9/5*m - s*m**4 + 12/5*m**5 + 0 - 3/5*m**3 = 0. What is m?
-1, 0, 1/4, 1, 3
Let m(g) be the second derivative of g**5/5 - 11*g**4/3 - 186*g. Factor m(p).
4*p**2*(p - 11)
Let w(a) be the third derivative of -85/108*a**4 - 2*a**2 - 115 + 0*a - 7225/54*a**3 - 1/540*a**5. Determine m so that w(m) = 0.
-85
Let c(t) = 31*t**3 - 143*t - 8. Let h(m) = -20*m**3 + 95*m + 5. Let i(v) = 5*c(v) + 8*h(v). Factor i(d).
-5*d*(d - 3)*(d + 3)
Let b(h) be the third derivative of h**7/2520 + 7*h**6/720 + 41*h**4/6 - 15*h**2. Let a(r) be the second derivative of b(r). Factor a(z).
z*(z + 7)
Let i(w) = 9*w**3 - 29*w**2 + 204*w - 576. Let s(t) = -7*t**3 + 28*t**2 - 205*t + 576. Let x(q) = -3*i(q) - 4*s(q). Factor x(m).
(m - 9)*(m - 8)**2
Solve -8/13*d**3 - 4/13*d**2 + 0*d**4 + 2/13*d**5 + 6/13*d + 4/13 = 0 for d.
-1, 1, 2
Let n(g) = 3*g**3 + 14*g**2 + 9*g - 12. Let h be n(-2). Factor 128/7*z**3 - 2176/7*z + 888/7*z**h + 1156/7 + 4/7*z**4.
4*(z - 1)**2*(z + 17)**2/7
Solve 214/5 + 2/15*b**2 - 644/15*b = 0 for b.
1, 321
Let f(k) be the third derivative of k**5/210 + 127*k**4/21 + 1012*k**3/21 - 3932*k**2. Solve f(m) = 0.
-506, -2
Let t be (-3216)/60 + 3/5. Let f = t - -68. Factor -13*h**2 + f*h**3 - 10*h**3 + 20 + 40*h + 38*h**2.
5*(h + 1)*(h + 2)**2
Suppose 7*r - 2*r = 0, -f - r - r + 4 = -0*r. Factor 0*w + 0*w**3 + 0 + 1/2*w**5 + 3/2*w**f + 0*w**2.
w**4*(w + 3)/2
Let r = 4323 - 177232/41. Let v = r + -17/369. What is j in 10/9*j + v*j**2 + 0 = 0?
-5, 0
Factor -472/9 - 2/9*a**2 - 80/3*a.
-2*(a + 2)*(a + 118)/9
Let n be ((-25)/4 - (-12 - -8))*20/(-15). Let g(a) be the third derivative of 0*a + 0 - 4/21*a**n - 1/21*a**4 - 16*a**2 + 1/210*a**5 + 1/420*a**6. Factor g(b).
2*(b - 2)*(b + 1)*(b + 2)/7
Factor -2/3*q**3 + 50/3*q**2 + 106/3*q + 18.
-2*(q - 27)*(q + 1)**2/3
Factor -5*w**2 - 25*w + 5*w**3 - 566 + 80*w**2 + 65*w + 146.
5*(w - 2)*(w + 3)*(w + 14)
Let f(a) = -11*a**4 - 47*a**3 + 103*a**2 + 5. Let r(c) = -16*c**4 - 70*c**3 + 155*c**2 + 7. Let h(g) = -7*f(g) + 5*r(g). Factor h(q).
-3*q**2*(q - 2)*(q + 9)
Suppose 0 = -2*c + 5*g + 5, 5*c - g - 14 = 10. Let m(o) be the first derivative of 0*o + 3/35*o**c - 1/42*o**6 + 0*o**2 - 4/21*o**3 + 0*o**4 + 5. Factor m(k).
-k**2*(k - 2)**2*(k + 1)/7
Let g = 17611/52851 + 2/17617. Factor 2*y - 1/3*y**3 + 0 + g*y**2.
-y*(y - 3)*(y + 2)/3
Solve -f**4 - 66*f**3 + 3*f**5 - 10*f**4 - 65 + 65 - 16*f**4 = 0 for f.
-2, 0, 11
Let c(s) be the first derivative of -37 + 15/28*s**4 - 12/7*s**2 + 3/35*s**5 + 2/7*s**3 + 0*s. Factor c(r).
3*r*(r - 1)*(r + 2)*(r + 4)/7
Let a(o) = 8*o**2 + 235*o - 787. Let l(w) = 20*w**2 + 588*w - 1968. Let t(i) = -12*a(i) + 5*l(i). Suppose t(f) = 0. What is f?
-33, 3
Let h(f) be the second derivative of -f**4/18 - 277*f**3/9 + 278*f**2/3 - 3884*f. Solve h(z) = 0.
-278, 1
Find a such that 730 + 1907 - 30*a**2 - 3*a**3 + 1743*a - 4347 = 0.
-30, 1, 19
Let q be 3480/9860 - (-45774)/357. What is l in -14*l**4 - 74*l**3 + 390/7*l + q - 674/7*l**2 = 0?
-15/7, -2, 1
Let w = 1216 - 1211. Suppose -42 = -19*m + w*m. Factor 0 - 2*b**2 - 1/2*b**m - 2*b.
-b*(b + 2)**2/2
Let n be (51/(-459) + 226/576)*4. Let g(c) be the second derivative of -n*c**2 - 22*c - 1/48*c**4 + 0 - 1/4*c**3. Factor g(b).
-(b + 3)**2/4
Factor -2/15*o**3 + 2386/15*o + 238/3*o**2 + 398/5.
-2*(o - 597)*(o + 1)**2/15
Find y, given that 243602/5 + 1396/5*y + 2/5*y**2 = 0.
-349
Let u be (14/28)/((-230)/116 - -2). Suppose -28*f + u*f - 4 = 0. Factor 9*y**2 + 0 + 3/4*y**f - 9/2*y**3 - 6*y.
3*y*(y - 2)**3/4
Let b(c) = 915*c - 70. Let m be b(-2). Let s = m - -1903. Determine r so that 5*r**2 - 5/2*r**s + 5/2*r - 5 = 0.
-1, 1, 2
Let o(u) = 13*u**2 - 128*u + 512. Suppose -32*s + 64 = -24*s. Let p(y) = -20*y**2 + 192*y - 768. Let f(t) = s*o(t) + 5*p(t). Solve f(g) = 0.
8
Let p(v) be the first derivative of -v**4/12 + 2*v**2 + 10*v + 19. Let l(x) be the first derivative of p(x). Suppose l(d) = 0. What is d?
-2, 2
Suppose -r + 5*z + 67 = 0, 0 = 11418*r - 11414*r - 4*z - 60. Suppose 0*w**r - 1/3*w**5 + 0 - 4/3*w + 5/3*w**3 + 0*w**4 = 0. What is w?
-2, -1, 0, 1, 2
Let i = -328 - -2627/8. Suppose 3 = -c, 0 = -4*t + 9*c - 4*c + 23. Let -9/8 + 3/4*z + i*z**t = 0. What is z?
-3, 1
Let h(u) be the second derivative of 0*u**2 - 7*u + 25/12*u**4 - 7/4*u**5 - 1 + 5/3*u**3. Solve h(k) = 0.
