 be (((-1 + p)/(-7))/(-1))/5. Let 9/5*y + 3/5*y**5 + 0*y**4 - 12/5*y**3 - 6/5 + s*y**2 = 0. Calculate y.
-2, -1, 1
Let g be (-2912)/5 + (-315)/(-225). Let f = -577 - g. Determine p so that 0 - 4/3*p**f - 2/3*p**3 + 2/3*p**5 + 0*p + 4/3*p**2 = 0.
-1, 0, 1, 2
Let h(i) = -i**3 - 13*i**2 - 12*i + 3. Let c be h(-12). Factor 20*q**2 - 2127*q**3 + 1280 + 5*q**4 + 2067*q**c + 842*q + 118*q.
5*(q - 8)**2*(q + 2)**2
Let v(p) be the first derivative of 1/24*p**4 + 18 - 7/12*p**3 + p + 0*p**2. Let s(h) be the first derivative of v(h). Suppose s(u) = 0. Calculate u.
0, 7
Let p be (-18)/(-45) - (-19)/(4560/(-36)). Suppose 0*r + 1/4*r**3 + 0 - p*r**5 + 0*r**2 + 0*r**4 = 0. Calculate r.
-1, 0, 1
Let -624*l**3 + 6241/10*l - 79/5*l**4 + 0 - 1/10*l**5 + 79/5*l**2 = 0. What is l?
-79, -1, 0, 1
Let o = -7079/50 - -3552/25. Solve 0 - 3/4*l**2 + o*l + 1/4*l**4 + 0*l**3 = 0.
-2, 0, 1
Let m(f) be the first derivative of 4*f**3/3 + 54*f**2 - 112*f + 1226. Factor m(x).
4*(x - 1)*(x + 28)
Let p(o) = 3*o**2 + 83*o + 24. Let d be p(-33). Factor 26*m + m**2 + m**2 - d + 552.
2*m*(m + 13)
Let v be 2*(-7)/((-84)/18). Find j such that 5*j**2 + 6 - 4*j - 11*j**2 + v*j**2 + j**2 = 0.
-3, 1
Let c be 0 + 13 - (25/(-10))/((-2280)/11248). Factor -10/3*p**2 - 4/3*p + 16/3 - c*p**3.
-2*(p - 1)*(p + 2)*(p + 4)/3
Factor 7833*g - 453000*g**3 + 3*g**4 + 4329*g**2 - 23232 + 10812*g + 453255*g**3.
3*(g - 1)*(g + 11)**2*(g + 64)
Let b be ((-160)/680)/(6/(-17)). Let u(w) be the second derivative of 0 - 13/3*w**3 + b*w**4 + 6*w**2 + 3/10*w**5 - 16*w. Factor u(p).
2*(p - 1)*(p + 3)*(3*p - 2)
Let t(q) be the first derivative of 2*q**3/45 - 739*q**2/15 - 3270. Suppose t(h) = 0. What is h?
0, 739
Let t be 4/38 + (-396)/(-209). Let -2*o**2 + 79*o**3 + 7*o**2 - 77*o**3 - o**t = 0. What is o?
-2, 0
Let m(c) be the first derivative of -c**6/3 + 27*c**5/10 - 5*c**4 + 8*c**3/3 + 90*c - 158. Let n(d) be the first derivative of m(d). Factor n(f).
-2*f*(f - 4)*(f - 1)*(5*f - 2)
Let c(u) be the second derivative of 0*u**2 - 3 - 1/11*u**3 - 1/66*u**4 + 4*u + 1/165*u**6 + 3/110*u**5. What is f in c(f) = 0?
-3, -1, 0, 1
Factor -173015*h**3 - 305*h**2 + 173029*h**3 - 43*h**2 - 3160*h - 2800 + 2*h**4.
2*(h - 14)*(h + 1)*(h + 10)**2
Let v be (-46)/207 + 9793/45. Let m = v + -215. Determine y so that -m - 51/5*y**2 + 3*y**3 + 48/5*y = 0.
2/5, 1, 2
Factor 3*y**5 + 4800*y + 14471*y**3 - 18*y**4 - 246*y**2 - 14684*y**3 + 966*y**2.
3*y*(y - 8)**2*(y + 5)**2
Solve 3/2*b**2 + 153/8*b - 39/8 = 0 for b.
-13, 1/4
Determine t so that -40 + 4*t + t**2 + 225*t + 268 = 0.
-228, -1
Let w(j) be the second derivative of -j**5/4 + 5*j**4/2 + 125*j**3/6 + 45*j**2 - 757*j. Factor w(r).
-5*(r - 9)*(r + 1)*(r + 2)
Let u(a) = -14*a**2 - 135*a + 386. Let t(f) = -185*f**2 - 1755*f + 5050. Let p(c) = -3*t(c) + 40*u(c). Determine r so that p(r) = 0.
-29, 2
Let q(k) be the third derivative of -k**6/100 + 6*k**5/25 + k**4/20 - 12*k**3/5 + 572*k**2. Factor q(c).
-6*(c - 12)*(c - 1)*(c + 1)/5
Suppose -85*i + 77*i = -120. Find q, given that 9*q - 15*q - i*q**2 - 20 + 10*q**3 + 0*q**4 + 5*q**4 - 34*q = 0.
-2, -1, 2
Let j = 555 + -550. Let o(f) be the second derivative of -1/10*f**j + 0 + 1/3*f**3 + 0*f**4 + 0*f**2 + 27*f. Suppose o(b) = 0. What is b?
-1, 0, 1
Factor 0 - 90/13*i**2 + 2/13*i**3 - 288/13*i.
2*i*(i - 48)*(i + 3)/13
Let z(d) be the first derivative of 60 - 2/63*d**3 - 8/21*d - 5/21*d**2. Solve z(y) = 0.
-4, -1
Let g(x) be the second derivative of -x**4/30 - 2*x**3/15 + 63*x**2/5 + 8471*x. Factor g(u).
-2*(u - 7)*(u + 9)/5
Let l(z) be the first derivative of -2*z**3/3 + 190*z**2 - 378*z + 268. Let l(i) = 0. What is i?
1, 189
Solve 2166 - 40*m**3 - 9*m**4 + 2895*m**2 - 1311*m - 6024*m**2 + 379*m**3 = 0.
-1, 2/3, 19
Suppose 0*j - 18 = -6*j. Factor 2*p + p**3 + 2*p - 5 + 8*p**2 - 5*p - j*p**2.
(p - 1)*(p + 1)*(p + 5)
Let w = 2104/5 - 419. Let l(t) be the first derivative of -w*t**5 + 9*t**3 - 18*t**2 + 12*t + 11 + 3/2*t**4. Find z such that l(z) = 0.
-2, 2/3, 1
Suppose 2*q + 26 = 2*i, 5*i - 2*q + 9 - 59 = 0. Let y = 105 + -100. Factor i*n**y - 2*n**3 + 2975*n + 6*n**4 - 2975*n.
2*n**3*(n + 1)*(4*n - 1)
Let k be 17342/1521 - 16*17/(-1768). Solve 10/9*u**5 - 16/9 + 32/9*u**4 - k*u - 124/9*u**2 - 14/9*u**3 = 0 for u.
-2, -1, -1/5, 2
Let v be 18/(1620/6)*375/10. Let a = 44 + -41. Factor -8 - 1/4*r**a - 8*r - v*r**2.
-(r + 2)*(r + 4)**2/4
Let x(q) = q**3 - 9*q**2 - 2*q + 21. Let c be x(9). Factor -5 - 26 - g**2 - 35*g**3 + 85*g - 19*g**2 - 2 + c.
-5*(g - 1)*(g + 2)*(7*g - 3)
Let b = -4561 + 4567. Let l(k) be the third derivative of 0*k + 1/40*k**b + 0*k**4 - 33*k**2 + 0 + 1/20*k**5 + 0*k**3. Let l(d) = 0. Calculate d.
-1, 0
Let i(p) be the first derivative of -5/12*p**3 - p**2 + 1 - 1/24*p**4 + 29*p. Let l(f) be the first derivative of i(f). Solve l(j) = 0.
-4, -1
Let q(m) = 16*m - 325. Let d be q(21). Factor -25*h - 54*h - 3 - d*h - 63 + 2*h**2 + 26*h.
2*(h - 33)*(h + 1)
Let h be 4*(-1)/(-4) + 13/2. Suppose -4*y + 25 = 3*k, -k + 27*y - 28*y = -7. Determine v so that h*v**2 - 5/2*v**k - 15/2*v + 5/2 = 0.
1
Let j(i) = -3*i**2 + 17*i + 10. Let o(p) = -6*p**2 + 33*p + 19. Suppose -4*m = -0*m - 140. Suppose f - 29 = -m. Let v(x) = f*o(x) + 11*j(x). Factor v(b).
(b - 4)*(3*b + 1)
Let u = 188719 + -188717. Factor -u*q + 48/23 - 2/23*q**2.
-2*(q - 1)*(q + 24)/23
Suppose -52 = k + 5*a, 49 = 2*k + 4*a + 141. Let u = k + 44. Determine j, given that 4/17*j + 2/17 - 6/17*j**u = 0.
-1/3, 1
Let c(f) be the third derivative of 0 + 1/60*f**5 + 3/2*f**3 + 1/4*f**4 + 6*f**2 + 5*f. Determine o, given that c(o) = 0.
-3
Let m be ((-30)/24)/(-5)*4 + 311. Let c = -310 + m. Factor 0*j + 0 - 1/6*j**3 - 1/6*j**c.
-j**2*(j + 1)/6
Let y be -68 + (-24)/6*1/2. Let j be ((-4)/8*-4)/(y/(-21)). Suppose -j*u**3 + 9/5*u + 0*u**2 - 6/5 = 0. Calculate u.
-2, 1
Suppose -143*j - 30 = -145*j. Factor 29 - 12*p + j*p**4 - 71 + 75*p**2 + 72*p**2 + 6 - 114*p**3.
3*(p - 6)*(p - 1)**2*(5*p + 2)
Let o(r) = -r**2 + 11*r - 28. Suppose 3*a = -3*m + 9, 3*m - 3*a - 15 = -0*a. Let i be o(m). Factor i*f**2 - f**2 - 3*f**2 - f**3 - 4*f.
-f*(f + 2)**2
Let v(y) be the second derivative of y**5/50 - 173*y**4/15 + 688*y**3/15 + 1012*y - 2. Factor v(b).
2*b*(b - 344)*(b - 2)/5
Let d(c) = -672*c**4 - 24*c**3 + 10*c**5 + 69*c + 672*c**4 - 81 - c**2 + 11*c**2. Let j(x) = -x**5 + x**3 - x + 1. Let o(q) = -4*d(q) - 36*j(q). Factor o(a).
-4*(a - 2)**3*(a + 3)**2
Suppose 244*t + 1079*t - 2037 - 609 = 0. Let q = 777/8 - 97. Factor -q*n**4 + 1/8*n + 1/8*n**t - 1/8*n**3 + 0.
-n*(n - 1)*(n + 1)**2/8
Let z(h) be the first derivative of -2*h**3/21 + 155*h**2/7 + 312*h/7 + 984. Find f such that z(f) = 0.
-1, 156
Let v(m) = m**2 + 36*m - 74. Let z be v(-38). Factor -2*i**4 - 7*i**3 + 12*i**3 + 7*i**3 - 10*i**z.
-2*i**2*(i - 5)*(i - 1)
Let b = 135 - 131. Suppose -8*n**2 + 190 - b*n + 190 + 2*n**4 + 4*n**3 - 374 = 0. What is n?
-3, -1, 1
Let r = -243 + 244. Let z be ((-9)/(-27))/((-46)/(-12) - r). Factor 32/17*g - 128/17 - z*g**2.
-2*(g - 8)**2/17
Let d(g) be the third derivative of g**8/448 + g**7/140 - 3*g**6/10 - 2*g**2 + 27*g + 15. Suppose d(t) = 0. Calculate t.
-8, 0, 6
Let j be ((-4)/(-10)*(-9)/2)/(1986/(-662)). Factor -3/5*v**5 - 3/5*v + 3/5 + 6/5*v**3 - 6/5*v**2 + j*v**4.
-3*(v - 1)**3*(v + 1)**2/5
Suppose -468 - 220 = -16*z. Let f be (-4)/12 + z/21. Factor 3/7*r**4 + 0 - 12/7*r**2 + 3/7*r**3 - f*r.
3*r*(r - 2)*(r + 1)*(r + 2)/7
Let w(l) be the third derivative of l**6/360 + 37*l**5/180 - 5*l**4/9 - 38*l**3/9 + 21*l**2 + 4*l. Determine n so that w(n) = 0.
-38, -1, 2
Let s(k) be the second derivative of -164/3*k**3 - 2 - 131/2*k**4 - 27*k - 77/15*k**6 - 31*k**5 - 4*k**2. Suppose s(g) = 0. What is g?
-2, -1, -2/77
Let a(c) = -3*c**4 - 3*c**3 - 33*c**2 - 81*c + 6. Let j(d) = -4*d**4 - 5*d**3 - 34*d**2 - 81*d + 7. Let q(t) = 7*a(t) - 6*j(t). Factor q(u).
3*u*(u - 3)*(u + 3)**2
Let a(n) = -10*n**2 + 2672*n. Let b(m) = -12*m**2 + 2684*m. Let v(t) = -4*a(t) + 3*b(t). Find f such that v(f) = 0.
0, 659
Let l = 41071 + -41069. Factor 2/3*y + 2/3*y**l - 4/3.
2*(y - 1)*(y + 2)/3
Let z(v) be the second derivative of -4*v**4/3 - 878*v**3/3 + 220*v**2 - 9070*v. Let z(j) = 0. What is j?
-110, 1/4
Suppose -34*p + 1/4*p**4 + 20 + 69/4*p**2 - 7/2*p**3 = 0. What is p?
1, 4, 5
Let g(i) = -2*i**2 + 57*i - 75. Let v be g(26). F