 2)*(q + 115)
Suppose -713244 = 202*m - 2628*m. Find q such that 741*q**3 + 0 + 36*q + 147/2*q**5 - 1113/2*q**4 - m*q**2 = 0.
0, 2/7, 1, 6
Let y(z) be the first derivative of 49*z**2/2 - 733*z - 472. Let o be y(15). Suppose -3/2*x - o*x**4 + 5/2*x**2 + 3/2*x**3 - 1/2 = 0. Calculate x.
-1, -1/4, 1
Let i be 0/((16 + -4)/(-6)). Let r be -1 + 0 + 4 + i. Factor 0 - 2*s**2 - 10/7*s**r - 4/7*s.
-2*s*(s + 1)*(5*s + 2)/7
Let a(o) be the second derivative of -195*o - 3969/2*o**2 + 21*o**3 - 1/12*o**4 + 0. Factor a(f).
-(f - 63)**2
Let d(z) = -2*z**3 - 26*z**2 - 96*z - 100. Let f(p) = -2*p**3 - 26*p**2 - 96*p - 104. Let u(t) = 8*d(t) - 7*f(t). Let u(r) = 0. What is r?
-6, -1
Let -495*f**2 + 1136*f**2 + 1259*f**2 - 826 + 7*f**5 - 2063*f + 2056*f**3 - 2896*f**4 + 1822*f**2 = 0. What is f?
-1, -2/7, 1, 413
Let a = 153371/990 - 1704/11. Let s(o) be the second derivative of -a*o**5 + 0 + 0*o**3 + 0*o**4 + 1/270*o**6 + 0*o**2 - 4*o. Factor s(g).
g**3*(g - 2)/9
Let a be (-250)/(-2250) + 2/18. Let q(g) be the third derivative of 0*g + a*g**3 + 0 + 49/180*g**5 + 7/18*g**4 + 4*g**2. Find b such that q(b) = 0.
-2/7
Let f(i) be the third derivative of 0*i - 5/8*i**4 - 1/12*i**5 + 0 + 1/8*i**6 + 0*i**3 + 26*i**2 + 1/42*i**7. Factor f(c).
5*c*(c - 1)*(c + 1)*(c + 3)
Let v be 7 + -3 + (-4)/(-1). Suppose -4*h - 2*u + 4 = 0, -h + v = 2*u + 2*u. Factor 5*r + 2*r**3 - 3*r**3 - r**4 + 2 + 3*r**2 + h*r**4.
-(r - 2)*(r + 1)**3
Suppose 2*c = -h + 7, 0*c - h = 5*c - 13. Suppose c*f**2 - f**2 + 361 - 1447*f + 1485*f = 0. What is f?
-19
Let a(y) be the third derivative of -y**5/60 + 655*y**4/24 + 328*y**3/3 + 1684*y**2. Factor a(k).
-(k - 656)*(k + 1)
Let t(b) = -6*b**3 - 38*b**2 - 36*b. Let p be t(-1). Determine y, given that -3/5*y**p - 3*y**3 + 0*y + 0 - 12/5*y**2 = 0.
-4, -1, 0
Let x(p) be the first derivative of 12/5*p - 1/10*p**4 + 7/5*p**2 - 92 + 0*p**3. Suppose x(k) = 0. Calculate k.
-2, -1, 3
Let g = -644 - -774. Factor g - 185 - 2*k**2 + 5*k + 49*k - 4*k + 7*k**2.
5*(k - 1)*(k + 11)
Let l(c) be the second derivative of c**6/30 - 19*c**5/20 + 7*c**4 + 2*c + 4646. Let l(y) = 0. Calculate y.
0, 7, 12
Find q, given that 6*q - 23436 - q + 5*q**5 - 860*q**2 + 430*q**4 + 23866 - 10*q**3 = 0.
-86, -1, 1
Let h = -15335818/9 + 1703980. Let 4/9*s**3 - h*s**5 + 92/9*s**2 - 46/9*s**4 - 2/9*s - 46/9 = 0. Calculate s.
-23, -1, 1
Let w be (-4)/((8/(-10))/((-4)/(-10))). Let n be ((-400)/175)/(3/(-14)). Factor -16/3*g + 2/3*g**w + n.
2*(g - 4)**2/3
Let x(b) = -b**3 - 38*b**2 - 105*b + 3. Let y = -359 + 324. Let l be x(y). Factor -2/5*k**2 + 1/5*k**4 + 0 - 1/5*k**l + 0*k.
k**2*(k - 2)*(k + 1)/5
Let k(r) be the third derivative of r**8/47040 + r**7/3920 + r**6/840 - r**5/10 + 5*r**4/8 - 255*r**2. Let x(l) be the third derivative of k(l). Factor x(u).
3*(u + 1)*(u + 2)/7
Let k(d) be the third derivative of d**7/1050 + d**6/6 + 1199*d**5/150 - 85*d**4/2 + 867*d**3/10 + 3*d**2 - 424. Let k(j) = 0. Calculate j.
-51, 1
Suppose -19*q = 66*q - 4250. Suppose q*y + 0*y - 200 = 0. Solve y + 2/3*r**2 - 14/3*r = 0 for r.
1, 6
Let i be (11541/15388)/(((-1)/(-8))/(2/54)). Solve 4/9 + 2/3*s + i*s**2 = 0 for s.
-2, -1
Factor -17*f**2 - 3*f**2 - 25*f + 16*f**2 + 2*f**2 + 138 + 65*f.
-2*(f - 23)*(f + 3)
Find d, given that 38*d - 8/3*d**2 - 28/3 = 0.
1/4, 14
Factor 56/3 + 4/3*i**2 - 20*i.
4*(i - 14)*(i - 1)/3
Let q = 906393 - 906393. Determine x so that 1/2*x**3 - 15/2*x**2 + 27/2*x + 1/6*x**4 + q = 0.
-9, 0, 3
Let f be (((-4632)/20)/3)/(20/(-50)). Find q, given that 0 - 4 + 2*q + 8*q**4 - 2 + 4 + 22*q**3 + 211*q**2 - f*q**2 = 0.
-1, 1/4
Let c(p) be the second derivative of p**7/21 + 116*p**6/5 + 14963*p**5/5 - 10150*p**4 + 30625*p**3/3 + 10460*p. Solve c(u) = 0.
-175, 0, 1
Let z(t) = -2*t**3 + 10*t**2 - 10*t + 12. Let c be z(6). Let y be -1 - (c/3 + 3). Factor -y - 437*k**2 - 910*k**2 + 4 - 1372*k**3 + 171*k**2 - 336*k.
-4*(7*k + 2)**3
Let j = 350 + -97. Let f = -253 + j. Factor 3/8 - 3/8*l**4 + f*l**2 + 3/4*l**3 - 3/4*l.
-3*(l - 1)**3*(l + 1)/8
Let h(w) be the third derivative of -w**8/784 + w**6/28 + w**5/7 + 15*w**4/56 + 2*w**3/7 - 129*w**2 - 1. Suppose h(b) = 0. Calculate b.
-1, 4
Let d(y) = 3*y + 62. Let h be d(-20). Let o be h/14 - (-462)/882. Solve -7/3*b + o*b**2 - 4/3 = 0.
-1/2, 4
Suppose 40*k**4 + 165*k**3 - 149720 + 149720 + 20*k**2 - 5*k**5 - 220*k = 0. What is k?
-2, 0, 1, 11
Suppose -4 = -3*t + 5*l + 27, t = 5*l + 27. Suppose -4*j = -3*n + 965, t*n + 4*j - 615 = j. What is w in 25 + 39 + 25 - n*w**2 + 160*w - 109 = 0?
2/9, 2/7
Let u be ((-2169)/(-482))/((-6)/(-4)). Let g = -8 - -16. Find j such that -4*j - 26*j + 42*j - 4*j**u + g = 0.
-1, 2
Let p be (-15)/(-3) + -25 - (-505)/20. Let -27/4*u**2 + 45/4*u - p + 3/4*u**3 = 0. Calculate u.
1, 7
Let w(d) be the second derivative of -1/2*d**3 + 1/48*d**4 - d + 9/2*d**2 - 59. Factor w(f).
(f - 6)**2/4
Find a, given that 4/3*a + 104/3*a**4 + 146/3*a**3 + 0 + 46/3*a**2 = 0.
-1, -1/4, -2/13, 0
Let v(c) = 20*c**4 - 80*c**3 + 116*c**2 - 234*c - 22. Let w(q) = q**4 - 3*q**3 - q**2 - 1. Let o(t) = 2*v(t) - 44*w(t). Factor o(s).
-4*s*(s - 3)**2*(s + 13)
Suppose -18*q + 28*q - 90 = 0. Suppose 4*f + 0*f = -2*m - 6, 2*f - 3*m - q = 0. Suppose -1/2*u**4 + 1/2*u**2 + 3/2*u**3 + f - 3/2*u = 0. Calculate u.
-1, 0, 1, 3
Let z(q) = -q**2 - 10*q + 11. Let v be z(-5). Solve 69*a - 10 + 7*a**2 - 28*a**3 - 52*a**2 - 22*a**3 + v*a = 0 for a.
-2, 1/10, 1
Let q(w) = -w**3 + w**2 + 2*w + 276. Let o be q(0). Factor -o*g**5 + 135*g**5 - g**2 + 139*g**5 + 6*g**3 - 4*g**4 + g**2.
-2*g**3*(g - 1)*(g + 3)
Let f be (-249)/(-12) + 1 - 21. Let r(y) be the third derivative of 0 - y**3 - f*y**5 + 0*y + 29*y**2 - 17/8*y**4. Find n such that r(n) = 0.
-1, -2/15
Let w(a) be the third derivative of a**7/210 - a**6/90 - a**5/6 - a**4/2 + 23*a**3/6 + 62*a**2. Let x(l) be the first derivative of w(l). Factor x(m).
4*(m - 3)*(m + 1)**2
Let t be (-1 - 3) + -1 + 5/(-5). Let h be 18/(-3*1/t). Find i such that 38 + h - 2*i**2 - 72 = 0.
-1, 1
Let w = -46 - -34. Let h be (-7)/(-28) - 57/w. Factor -4*k**2 + 3*k**3 + 28*k**3 - 40*k**4 + 18*k**h - 5*k**3 + 0*k**4.
2*k**2*(k - 1)**2*(9*k - 2)
Let u(x) = 37*x**2 - 658*x + 654. Let l(f) = 20*f**2 - 330*f + 328. Let p(n) = 11*l(n) - 6*u(n). Factor p(c).
-2*(c - 158)*(c - 1)
Let y(b) be the third derivative of b**7/315 - 5*b**6/18 + 116*b**5/45 - 53*b**4/6 + 15*b**3 + 3415*b**2. Suppose y(x) = 0. What is x?
1, 3, 45
Let s(t) be the third derivative of -1/60*t**6 + 0 + 5/6*t**3 + 43/48*t**4 - t**2 + 11/120*t**5 - 31*t. Factor s(n).
-(n - 5)*(n + 2)*(4*n + 1)/2
Let o(u) be the second derivative of -u**6/10 + 6*u**5/5 - 5*u**4/4 - 19*u**3 - 36*u**2 + 1448*u. Find v such that o(v) = 0.
-1, 4, 6
Let q(p) = -p**2 - p - 43. Let r(s) = 522*s + 436. Let z(l) = -4*q(l) + 2*r(l). Determine j, given that z(j) = 0.
-261, -1
Let r(f) be the first derivative of 5*f - 1/30*f**4 + 0*f**3 + 17 + 1/5*f**2. Let a(w) be the first derivative of r(w). Factor a(x).
-2*(x - 1)*(x + 1)/5
Solve 5/4*j**2 + 45/4*j - 25/2 = 0 for j.
-10, 1
Let u(z) be the first derivative of 4*z - 30 + 27*z**2 - 28/3*z**3. Find t such that u(t) = 0.
-1/14, 2
Let k(s) be the second derivative of -s**5/15 + 61*s**4/3 - 5642*s**3/3 + 16562*s**2/3 - 11*s - 117. Factor k(g).
-4*(g - 91)**2*(g - 1)/3
Let s = -5 - -26/5. Let h = -328654 + 1643286/5. Solve -s*t**2 - 64/5 - h*t = 0 for t.
-8
Let h(u) = 8*u - 14. Let m be h(2). Factor -668*q + 81*q**2 - 157*q**m - 54*q - 2*q**3.
-2*q*(q + 19)**2
Let h(i) = -7*i**2 + 13. Let q be h(0). Let p(g) = -8*g + 104. Let v be p(q). Solve -n + v - 1/2*n**2 = 0 for n.
-2, 0
Let j(x) = -x**3 + 3*x**2 + 8*x + 3. Let a be j(-3). Let l = a - 31. Factor 6*b**2 - l*b**2 + 3*b + b - 2*b**2.
2*b*(b + 2)
Let n(r) be the first derivative of r**3/21 + 43*r**2/14 + 36*r - 1467. Factor n(h).
(h + 7)*(h + 36)/7
Let o be 1*-2*(-2)/(16/(-20)). Let z be (-34)/(-70) - (-1)/o. Factor 4/7*b + 0 + z*b**2.
2*b*(b + 2)/7
Let y(r) be the second derivative of -5*r**4/12 + 15*r**3 - 225*r**2/2 + 3*r + 79. What is h in y(h) = 0?
3, 15
Let j(l) be the third derivative of l**6/160 + 13*l**5/120 + 15*l**4/32 - 3*l**3/4 + 2633*l**2. Solve j(x) = 0.
-6, -3, 1/3
Let p(n) be the first derivative of -2*n**2 + 11/3*n + 37 + 1/9*n**3. Factor p(q).
(q - 11)*(q - 1)/3
Let d(k) be the first derivative of -9 -