mine g, given that x(g) = 0.
-1, 11
Let q(s) be the third derivative of s**5/120 + 161*s**4/8 + 965*s**3/12 - 63*s**2 + 5*s + 3. Factor q(x).
(x + 1)*(x + 965)/2
Let o be 2664/(-64) - (138 + -180). Factor -o*a + 0 + 3/4*a**2.
3*a*(2*a - 1)/8
Let n = -126730 - -126730. Solve n - 2/7*i**2 + 36/7*i = 0 for i.
0, 18
Let p(o) be the first derivative of o**6/3 + 2*o**5/5 - 21*o**4/2 - 2*o**3/3 + 20*o**2 + 2380. Solve p(q) = 0 for q.
-5, -1, 0, 1, 4
Let m(w) = 2*w**2 - 34*w + 37. Let q be m(16). Solve -28*f**2 - 20*f - 7 + q + 5 + 5 = 0 for f.
-1, 2/7
Let a(g) be the third derivative of -g**7/3360 - 7*g**6/1440 - g**5/80 - 21*g**3 - 201*g**2. Let y(j) be the first derivative of a(j). Factor y(f).
-f*(f + 1)*(f + 6)/4
Let b(z) be the first derivative of 5/3*z**3 + 40*z**2 - 108 + 0*z. Factor b(o).
5*o*(o + 16)
Let s be 55 + (-2)/4*2. Let z be s + -53 - (-1)/(-3). Factor 0*j + 1/3*j**5 + 0 - 2/3*j**4 + z*j**2 - 1/3*j**3.
j**2*(j - 2)*(j - 1)*(j + 1)/3
Suppose 8 = 4*i, -10 - 1 = -r - 4*i. Let l(s) = -16 - r*s + 6*s + 13*s. Let n(m) = m**2 - m. Let u(v) = l(v) + 4*n(v). Find k such that u(k) = 0.
-4, 1
Suppose -20*z + 27 = -33. Determine b so that -2*b**2 - 12*b**3 - z*b**3 + 4*b**3 - 3*b**2 - 6*b**4 = 0.
-1, -5/6, 0
Let n = -313 + 312. Let i(l) = l**2 - 31*l - 32. Let d be i(n). Factor d - 4/15*h - 2/15*h**2.
-2*h*(h + 2)/15
Let x(k) be the second derivative of 142 + k + 1/4*k**4 - 18*k**2 - 4*k**3 + 3/20*k**5. Factor x(z).
3*(z - 3)*(z + 2)**2
Let i be 31318/490*7 + 23. Determine q, given that -3/5*q**4 - 174/5*q**3 - 2691/5*q**2 - 4872/5*q - i = 0.
-28, -1
Find c, given that 3/2*c**2 + 3/5 - 1/10*c**4 + 3/10*c**3 + 17/10*c = 0.
-1, 6
Let x(p) = 34094*p - 34092. Let y be x(1). Determine k, given that -5/2*k**y - 10240 - 320*k = 0.
-64
Let v be 62/(-155) - (-1474)/10. What is z in -99*z**3 - 32*z**4 - 59*z**5 + v*z**3 + 63*z**5 = 0?
0, 2, 6
Let i = -8531/84 + 2853/28. Solve -1 + i*f**4 - 4/3*f**3 + 4/3*f + 2/3*f**2 = 0 for f.
-1, 1, 3
Suppose -60 = 2*f + g, 4*f - 2*g + 118 = 14. Let k be (-51)/(-63) + (6 - (-172)/f). Factor k*m**3 - 8/3*m**2 + 8/3*m + 0.
2*m*(m - 2)**2/3
Let j(h) be the second derivative of -h**6/300 + h**5/25 - 3*h**4/20 + 17*h**2 - 2*h - 103. Let i(z) be the first derivative of j(z). Solve i(x) = 0 for x.
0, 3
Let q(z) be the second derivative of z**4/18 + 20*z**3/9 - 23*z**2 - 3*z - 110. Factor q(g).
2*(g - 3)*(g + 23)/3
Suppose 0 = -2*b + 9*b - 189. Solve -4*r**4 - 24*r**2 + 9*r**2 - 8*r + b*r**2 = 0 for r.
-2, 0, 1
Factor 260/7*f + 4/7*f**4 + 524/7*f**2 + 0 + 268/7*f**3.
4*f*(f + 1)**2*(f + 65)/7
Let w(b) be the first derivative of -b**4/8 + 12*b**3 + 223*b**2/4 + 75*b + 6940. Factor w(p).
-(p - 75)*(p + 1)*(p + 2)/2
Factor 5*p**2 - 28685 + 2910*p + 20443 + 14042.
5*(p + 2)*(p + 580)
Suppose 31*p - 148 - 1 = 99. Let j(t) be the second derivative of -1/3*t**2 + 1/18*t**4 - 4/9*t**3 + 0 + 2/15*t**5 - p*t. Factor j(m).
2*(m - 1)*(m + 1)*(4*m + 1)/3
Let y(c) be the third derivative of c**6/20 - 297*c**5/20 - 753*c**4/8 - 151*c**3 + 2881*c**2. Factor y(g).
3*(g - 151)*(g + 2)*(2*g + 1)
Let z(f) = 32*f - 113. Let o be z(3). Let l(t) = -t**2 - 22*t - 82. Let m be l(o). Factor 2*x**2 - 2/3*x**m + 2/3 - 2*x.
-2*(x - 1)**3/3
Let j(a) be the first derivative of 1/7*a**4 + 76 - 22/7*a**5 + 0*a + 110/21*a**3 - 2/7*a**2. What is d in j(d) = 0?
-1, 0, 2/55, 1
Let c(m) be the third derivative of -m**5/105 + 587*m**4/84 + 14*m**3 + 106*m**2 - 8*m. Suppose c(j) = 0. What is j?
-1/2, 294
Let f be (-23072)/(-10815)*(-75)/(-12). Factor 17/6*c**2 - f*c + 32/3 - 1/6*c**3.
-(c - 8)**2*(c - 1)/6
Let b(u) be the third derivative of 77*u**6/120 - 73*u**5/30 - 5*u**4/6 + 4*u**3/3 - 21*u**2 + 95. Factor b(z).
(z - 2)*(7*z + 2)*(11*z - 2)
Suppose 4*i = 5*u + 268, 0 = -149*u + 152*u - 48. Factor -i*l**2 + 280/3*l - 100/3 + 27*l**3.
(l - 1)*(9*l - 10)**2/3
Suppose -2*r = 5*n - 3*r - 784, -2*n + r = -316. Let c be -2 + (n/16 - 3/4). Factor -62*m**4 + c*m**2 + 58*m**4 + 4*m - 4*m**3 - 3*m**2.
-4*m*(m - 1)*(m + 1)**2
Let s be 2 + (130/13 - 9). Let b(y) be the first derivative of -1/24*y**4 + 1/6*y - 16 + 1/12*y**2 - 1/18*y**s. Factor b(t).
-(t - 1)*(t + 1)**2/6
Let a be ((-18)/7)/((-79)/553). Suppose 0 = -3*k + k + 4*v - 6, 3*k + 3*v = a. Factor -3/5*f**4 + 0*f + 0*f**k + 0 + 3/5*f**5 + 0*f**2.
3*f**4*(f - 1)/5
Let l = 151/88 + -1/616. Suppose 473*j - 665 = 720 - 439. Determine w so that -l*w + 0 - 3/7*w**j = 0.
-4, 0
Let b be (6/(-8))/((-177)/236) - 185/407. Solve 8/11*z - b*z**3 - 4/11*z**4 + 0 + 8/11*z**2 + 2/11*z**5 = 0.
-1, 0, 2
Let g = 496/7 - 4352/63. Let b = 30937/36 + -3437/4. Let -b*s**2 + 8/9*s - g = 0. Calculate s.
4
Let n be 0*(44 - 55)/(-176). Factor n + 8/7*p**3 + 2*p**2 - 4/7*p.
2*p*(p + 2)*(4*p - 1)/7
Let f = -1/12 + 5/12. Suppose -4*o - 4 = -5*g, 0 = 4*g + 9*o - 10*o - 1. Find l such that 2/9*l - f*l**2 + g + 1/9*l**3 = 0.
0, 1, 2
Let p = 383 + -379. Factor s**5 - 8*s + 6*s**3 + 10*s**p + 4*s**2 - 4*s**4 - 5*s**4 - 6*s**4 + 0*s**5.
s*(s - 2)**3*(s + 1)
Let s be ((-8)/(-12))/((-1)/3). Let k(d) = -d**3 - d**2 + 2. Let c be k(s). Factor 3*g**5 - 6*g**2 - 3 + 2*g + 9*g**4 + 0*g**4 + c*g**3 - 11*g.
3*(g - 1)*(g + 1)**4
Let j(u) be the second derivative of -160*u**2 - 223*u - 398/3*u**3 + 5/6*u**4 + 0. Solve j(q) = 0 for q.
-2/5, 80
Let k(i) be the first derivative of -2/51*i**3 + 24/17*i**2 - 2/85*i**5 - 3/17*i**4 - 76 - 32/17*i. Suppose k(l) = 0. Calculate l.
-4, 1
What is z in 0 - 2/5*z**3 + 154/5*z - 8/5*z**2 = 0?
-11, 0, 7
Suppose -5*t + 17 = 11*k - 14*k, -4*k - 12 = -4*t. Let a(b) be the first derivative of -k + 0*b - 3/5*b**2 - 2/15*b**3. Solve a(q) = 0 for q.
-3, 0
Let c be -1*(-4)/(-6)*-6. Suppose a + 27 = 5*u, -c*a + 6*a - 24 = -3*u. Factor -14*l**3 + 2*l**3 + u*l**4 + 4*l**2 + 6*l**4 - 4*l**5.
-4*l**2*(l - 1)**3
Suppose 0 = -2*z + 12 - 40. Let x(h) = 6*h**3 - 6*h**2 + 14*h. Let i = 2249 + -2252. Let y(n) = -n**3 + n**2 - 3*n. Let l(k) = i*x(k) + z*y(k). Factor l(d).
-4*d**2*(d - 1)
Suppose 855 = 4*j + 847. Factor 10*d**3 - 10*d**2 + 5*d**2 - 5*d**4 + 0*d**2 + 25*d**j - 40*d.
-5*d*(d - 2)**2*(d + 2)
Suppose 4*z + 244 = 4*t, -4*z - 183 = -21*t + 18*t. What is x in -233*x**3 + 2*x**2 + 600*x - 15*x**4 - t*x**3 - 1382*x**2 = 0?
-10, 0, 2/5
Let h(r) be the third derivative of -5*r**6/24 + 1189*r**5/24 + 1105*r**4/8 - 300*r**3 - 2425*r**2 + 2. Determine v so that h(v) = 0.
-3/2, 2/5, 120
Factor -4*l**3 + 4 - 232*l - 4 + 1903*l**2 - 1667*l**2.
-4*l*(l - 58)*(l - 1)
Let d be (7/(-4))/((-1)/4). Suppose 5*r - 48 = -d*r. Determine n, given that 4*n**3 + 16*n + 35*n**4 + 30*n**2 - 9*n**5 - 11*n**5 - 78*n**2 + 13*n**r = 0.
-1, 0, 2/5, 1, 2
Solve 0 + 183*l + 1/2*l**2 = 0.
-366, 0
Let g be -28 - (-46 - -21) - (-82)/24. Let y(s) be the second derivative of 0 + 0*s**2 - 5/6*s**3 + 8*s + g*s**4. What is i in y(i) = 0?
0, 1
Suppose 124*y - 148*y + 120 = 0. Let u(j) be the third derivative of -5/2*j**3 - 5/6*j**4 + 0 - 1/12*j**y + 0*j - 12*j**2. Find v, given that u(v) = 0.
-3, -1
Let b(n) be the first derivative of -n**6/135 + 4*n**5/45 - 11*n**4/27 + 8*n**3/9 - n**2 + 54*n + 2. Let l(h) be the first derivative of b(h). Factor l(d).
-2*(d - 3)**2*(d - 1)**2/9
Let l(b) = 2*b**2 - 3*b + 7. Let q be l(3). Suppose 0 = -x - 2*f + 2, -5*x + q = 4*f - 0*f. Factor 7*p**2 + 0*p**x + 2*p**2 - 6*p**2 - 3*p**4.
-3*p**2*(p - 1)*(p + 1)
Let c = 15422/39 + -76174/195. Find m such that c*m**5 + 0*m + 0 - 4/5*m**3 - 22/5*m**4 + 2/5*m**2 = 0.
-1/3, 0, 1/4, 1
Let j(a) be the first derivative of -a**4 + 308*a**3/3 - 590*a**2 + 876*a - 386. Factor j(p).
-4*(p - 73)*(p - 3)*(p - 1)
Let h(r) be the first derivative of -2/3*r + 20/9*r**3 + 34/5*r**5 + 47/6*r**4 - 28 - 3/2*r**2 + 35/18*r**6. Solve h(m) = 0.
-1, -1/5, 2/7
Suppose -2 - 1 = n + w, 4*n + 5*w = -17. Let -10*c**n + 88 - 8*c**3 - 4*c + 6*c**3 + 6*c**3 - 78*c**2 + 0*c = 0. What is c?
-1, 1, 22
Let i(d) be the third derivative of d**8/1848 - 2*d**6/165 - d**5/55 + 7*d**4/132 + 2*d**3/11 - 2*d**2 + 430. Find c such that i(c) = 0.
-2, -1, 1, 3
Let a = 856311 - 856309. Factor -2/9*b - 2/9*b**a + 4/9.
-2*(b - 1)*(b + 2)/9
Let h(t) be the second derivative of -5/8*t**3 - 29/32*t**4 + 185*t + 0*t**2 + 1/112*t**7 + 0 - 81/160*t**5 - 7/80*t**6. Find g, given that h(g) = 0.
-1, 0, 10
Let x(l) = 33*l. Let u be x(1). Let z = u - 30. F