1 = 0. Calculate j.
0, 1/2
Let a = -100272865/774 + 777301/6. Let k = -2/387 - a. Factor 4/3 + 2/3*c - k*c**2 - 2/3*c**3.
-2*(c - 1)*(c + 1)*(c + 2)/3
Let p(u) be the second derivative of 3/35*u**5 - 36 - 11/42*u**4 - 1/105*u**6 + 0*u**2 - u + 2/7*u**3. Let p(q) = 0. Calculate q.
0, 1, 2, 3
Suppose 20*k - 25 = 35. Factor 6 - 2*b**4 + 2*b**2 - 27*b + 17*b + 14*b - 4*b**k - 6.
-2*b*(b - 1)*(b + 1)*(b + 2)
Let y(k) be the third derivative of k**5/100 + 3*k**4/2 - 62*k**3/5 + 1525*k**2 - 2*k. Suppose y(z) = 0. What is z?
-62, 2
What is j in 4*j**2 - 1258 - 952*j + 1258 = 0?
0, 238
Let a be 54/((-54)/6) - -938. Let v = a - 927. Factor -4/9*o**4 + 8/9*o**2 + 0 - 8/9*o + 2/3*o**3 - 2/9*o**v.
-2*o*(o - 1)**2*(o + 2)**2/9
Let r = -30 - -50. Suppose -311 = -11*q + 404. Let 51*g - g - r*g + 3*g**2 + q + 10 = 0. What is g?
-5
Let v = 404 + -402. Determine r, given that 5*r - r + v*r**4 + 17*r**2 - 16*r**2 - 7*r**2 = 0.
-2, 0, 1
Factor -95*d - d**2 + 206*d - 98*d.
-d*(d - 13)
Let x(a) = -a**2 - 29*a + 128. Let g(f) be the second derivative of -f**4/12 - 59*f**3/6 + 128*f**2 + 31*f. Let s(p) = -6*g(p) + 10*x(p). Factor s(m).
-4*(m - 8)**2
Let o(i) = i**3 - 8*i**2 + 15*i + 24. Let p be o(5). Let a(z) be the second derivative of 1/4*z**4 + p*z**2 + 4*z**3 + 0 - 12*z. Factor a(d).
3*(d + 4)**2
Let s(w) be the second derivative of -w**5/70 + 67*w**4/42 + w**3/21 - 67*w**2/7 + 27*w + 51. Factor s(h).
-2*(h - 67)*(h - 1)*(h + 1)/7
Suppose -4*w = 3*h - 0*w - 7, h + 4*w = -11. Let u(n) = -n**3 + 4*n**2 - 2*n + 2. Let c be u(3). Factor 6*g**5 + g**3 - 15*g**c + h*g**3 + 15*g**4 + 14*g**5.
5*g**3*(g + 1)*(g + 2)
Let c be 9 + (42/(-7) - 0). Let a(o) be the second derivative of -4*o - 1/12*o**c - 1/48*o**4 + 0 + 3/8*o**2. Determine s, given that a(s) = 0.
-3, 1
Suppose -5*f - s + 79 = 0, 0 = 11*f - 10*f + 2*s - 14. Let f + 36 + 25*x + 24 - 46 + 5*x**2 = 0. Calculate x.
-3, -2
Let r = -2691/8 - -336. Let g = 65/24 + r. Factor -16/3*i**3 - 2/3*i + 0 + g*i**4 + 11/3*i**2.
i*(i - 1)**2*(7*i - 2)/3
Let j(v) be the third derivative of -2*v**2 - 1 - 1/18*v**4 - 1/60*v**5 + 1/360*v**6 + 0*v + 0*v**3. Factor j(i).
i*(i - 4)*(i + 1)/3
Let u = -167 - -165. Let z(p) = -p**2 - 3*p. Let q(h) = 2*h**2 + 5*h. Let y(k) = u*z(k) - 2*q(k). Factor y(v).
-2*v*(v + 2)
Let k(a) = -a**3 + 20*a**2 + 2*a - 28. Let j be k(20). Suppose -15*l + j*l + 30 = 0. Factor l*y**4 + 58*y**5 - y**3 + 6*y**3 - 53*y**5.
5*y**3*(y + 1)**2
Suppose 2*n + 0*v - 152 = 4*v, -5*n + 2*v = -404. Factor -5 - 56 + n*u + 2*u**2 + 141.
2*(u + 1)*(u + 40)
Let b be (1*33)/((-2112)/(-110) + -19). Let m = b + -659/4. Solve -m*t**3 - t + t**2 + 0 = 0 for t.
0, 2
Let b = 122213 + -855439/7. Factor -320/7*h + 0 - b*h**3 - 4/7*h**4 - 32*h**2.
-4*h*(h + 4)**2*(h + 5)/7
Let r(z) be the second derivative of 2*z**6/15 + 59*z**5/5 - 66*z - 11. Factor r(q).
4*q**3*(q + 59)
Let m(x) be the third derivative of x**8/6720 - x**7/280 + x**6/48 + 19*x**5/15 + 3*x**2 + 3. Let t(z) be the third derivative of m(z). Factor t(a).
3*(a - 5)*(a - 1)
Factor 6*x - 1/3*x**2 - 32/3.
-(x - 16)*(x - 2)/3
Let k(o) = -o**3 + 38*o**2 - 2*o + 78. Let z be k(38). Determine i, given that -126*i**z + 8*i**3 + i**4 + 67*i**2 + 74*i**2 = 0.
-5, -3, 0
What is a in 173*a + 200539*a**2 - 4*a**3 - 200371*a**2 - 344 + 7*a = 0?
-2, 1, 43
Factor -2/3*n**4 - 80*n**2 + 0 - 416/3*n - 14*n**3.
-2*n*(n + 4)**2*(n + 13)/3
Find q, given that -115*q**2 + 110*q**2 - 2 - 38 - 47*q + 17*q = 0.
-4, -2
Let l(r) = -r + 2 - 111*r**2 + 107*r**2 + 3*r**2. Let k(u) = -10*u**2 - 16*u + 12. Let s(g) = 2*k(g) - 18*l(g). Suppose s(j) = 0. Calculate j.
-6, -1
Let u be 8/(72/15)*6. Factor -24*k**3 + 3*k**4 + 9*k**2 + u*k**3 + 13*k**3 + 13*k**3.
3*k**2*(k + 1)*(k + 3)
Suppose -18*r + 20*r - 4 = 0. Determine h, given that -2*h + 27 + 10*h**3 - 6*h**2 - r - 2*h**4 - 17 - 8*h = 0.
-1, 1, 4
Factor -2*s**2 + 0 - 8/3*s + 2/3*s**3.
2*s*(s - 4)*(s + 1)/3
Suppose y = 5*h - 5, 10*h + 3*y - 19 = 8*h. Factor h*x - 722*x**3 + 746*x**3 - 60*x**2 - 3*x**4 + 46*x.
-3*x*(x - 4)*(x - 2)**2
Let f(s) = 22*s**3 - 118*s**2 - 270*s + 402. Let x(p) = -49*p**3 + 233*p**2 + 539*p - 804. Let o(z) = -9*f(z) - 4*x(z). Factor o(t).
-2*(t - 67)*(t - 1)*(t + 3)
Suppose -t - 5 + 7 = 0, 0 = -3*s + 2*t + 2. Suppose -3*w = -5*w + s. Factor w + 28*o - 15 + 16*o**2 + 6.
4*(o + 2)*(4*o - 1)
Let g = 62 - 46. Suppose h - g = -14. Determine p so that -2*p**h - 228 - 56*p - p**2 + 32 - p**2 = 0.
-7
Let t(j) be the third derivative of -j**7/5040 - j**6/540 - j**5/144 - j**4/72 + 31*j**3/3 - 90*j**2. Let d(b) be the first derivative of t(b). Factor d(v).
-(v + 1)**2*(v + 2)/6
Let b = 11404/6825 + 92/525. Suppose -2/13*a**5 + 6/13*a**4 + 2/13*a**3 + b*a - 22/13*a**2 - 8/13 = 0. Calculate a.
-2, 1, 2
Let a(n) be the third derivative of 1/480*n**6 - 60*n**2 + 0 + 0*n**3 + 0*n**4 + 0*n - 7/240*n**5. Factor a(w).
w**2*(w - 7)/4
Let a(x) = -55 - 66*x - 48 + 163 - 38*x**2. Let d(j) = 13*j**2 + 22*j - 21. Let m(h) = -5*a(h) - 14*d(h). Factor m(k).
2*(k + 3)*(4*k - 1)
Let o(d) be the first derivative of -9/2*d + 39/4*d**2 - 2 + 27/4*d**4 + 1/4*d**6 - 21/10*d**5 - 11*d**3. Determine w, given that o(w) = 0.
1, 3
Let k(r) = -r + 1. Let n(s) = -2*s - 3. Let t be n(-2). Suppose -26*w + 212 = -79*w. Let j(a) = 15*a**2 + 16*a - 16. Let g(i) = t*j(i) + w*k(i). Factor g(o).
5*(o + 2)*(3*o - 2)
Let b(s) = 6*s + 2. Let a(v) = 4*v + 1. Let t(g) = -7*a(g) + 5*b(g). Let u be t(1). Factor 20*p + u*p**2 + 16 + 0*p**3 + 3*p**2 + p**3.
(p + 2)**2*(p + 4)
Let y(n) = -n + 4. Let g be y(3). Suppose 2*d = 4*x - 10, 5*x - g - 4 = 5*d. Determine o, given that 45 + 47 + 3*o**d - 92 - 12*o = 0.
-2, 0, 2
Let p = -3961/8 - -35653/72. Let q(u) be the first derivative of -p*u**3 + 0*u**4 - 7 + 0*u + 1/30*u**5 + 0*u**2. Determine w, given that q(w) = 0.
-1, 0, 1
Let d be 180/(-81) - -2 - 20/(-9). Let i be 4/d*(-18)/(-12). Suppose -145/3*z**2 - 20*z + 5*z**i + 125/3*z**4 + 20/3 + 15*z**5 = 0. Calculate z.
-2, -1, 2/9, 1
Let r(c) be the first derivative of 9*c**3/2 - 1125*c**2 + 93750*c - 1360. Determine a, given that r(a) = 0.
250/3
Let j = 206476 - 206474. Let 0*h**2 + 1/3*h**5 + 10/3*h**3 - 2 - 11/3*h + j*h**4 = 0. Calculate h.
-3, -2, -1, 1
Let q be (-168084)/(-5220) + -31*1. Find v such that 54/5 - 114/5*v + 66/5*v**2 - q*v**3 = 0.
1, 9
Let m be 140/44 + (-12)/66. Let w(x) be the first derivative of -8/9*x + 7/9*x**2 - 4/27*x**m - 20 - 1/18*x**4. Find f such that w(f) = 0.
-4, 1
Suppose r + 367 = 370. Let a(q) be the second derivative of 0*q**2 + 0*q**3 + 0 + 1/30*q**4 + r*q. Suppose a(j) = 0. What is j?
0
Let o be ((-25)/5)/(-5) + 0. Suppose -k = -1 - o. Suppose 4*w**k + 3*w - 8 + w - 8*w = 0. Calculate w.
-1, 2
Suppose -58*y**2 - 136900 + 27231*y + 57*y**2 - 26491*y = 0. Calculate y.
370
Suppose 0 = -2*y + 6*y + 6*y. Let g(s) be the third derivative of y + 0*s + 25/12*s**4 + 42*s**2 - 1/12*s**5 + 55/6*s**3. Find u, given that g(u) = 0.
-1, 11
Let k(p) be the second derivative of -p**4/4 - 16*p**3/3 - 10*p**2 + 910*p + 1. Factor k(a).
-(a + 10)*(3*a + 2)
Let u be 20/2*34/255. Let b(h) = 44*h - 1316. Let z be b(30). Factor -z + 2/3*a + u*a**2.
2*(a + 2)*(2*a - 3)/3
Let b = -62213 - -62215. Factor 14/3*n**3 + 1/3 + 4*n - 9*n**b.
(n - 1)**2*(14*n + 1)/3
Let k(t) be the first derivative of 1/21*t**6 - 18/35*t**5 - 88/21*t**3 + 0*t + 15/7*t**4 + 24/7*t**2 + 59. Determine s, given that k(s) = 0.
0, 2, 3
Let h(l) be the first derivative of 90 - l**3 - 5/2*l**6 + 0*l**2 - 9/4*l**4 + 27/5*l**5 + 0*l. Factor h(s).
-3*s**2*(s - 1)**2*(5*s + 1)
Find x, given that -108*x**2 + 616 - 499*x - 4*x**2 + 7*x**3 + x**3 - 4*x**3 + 999*x = 0.
-1, 7, 22
Suppose 2*v**3 + 369/5*v**4 - 642/5*v - 104/5 - 185*v**2 - 28/5*v**5 = 0. Calculate v.
-1, -4/7, -1/4, 2, 13
Suppose -c = 2*a - 5, -a = -18 + 16. Let y = c - -2. Factor -64*v + 35*v - 16 - 59*v**2 - v**2 - 14*v**y - 43*v.
-2*(v + 2)**2*(7*v + 2)
Suppose 5*h = -5*o - 15, -2*h + 0 + 6 = -o. Suppose 7*g = 27 + h. Factor -120 + 2*j**g + j**5 + j**3 + 120.
j**3*(j + 1)**2
Let o(x) be the third derivative of -x**6/60 - 23*x**5/30 + 82*x**4 - 2256*x**3 - 1327*x**2. Solve o(d) = 0.
-47, 12
Let c(n) be the second derivative of n**4/42 - 101*n**3/21 - 1110*n**2/7 + 5369*n + 2. Factor c(i).
2*(i - 111)*(i + 10)/7
Let o be 7/(-63) + (-2703)/(-7803). Dete