Let i be ((-10)/10)/((-29)/b + 1). Factor i*j + 2*j**4 - 16*j - 2*j**2 + 2*j**3 - 14*j.
2*j*(j - 1)*(j + 1)**2
Factor 7/6*k**2 + 664/3*k - 190/3.
(k + 190)*(7*k - 2)/6
Let f(l) be the second derivative of -l**7/168 - 11*l**6/40 - 219*l**5/80 + 865*l**4/48 - 39*l**3 + 81*l**2/2 + 19*l + 1. Factor f(i).
-(i - 1)**3*(i + 18)**2/4
Let s be 2/(-18) - ((-3)/(-1080))/(2/(-116)). Let o(l) be the first derivative of 3/5*l + 1/15*l**3 - 4 + s*l**4 - 1/2*l**2. Determine z, given that o(z) = 0.
-3, 1
Let h(d) = -10*d**2 - 12*d + 50. Let p be (-6)/(2 - -4)*2 + 4. Let v(q) = 3*q**2 + 4*q - 15. Let i(s) = p*h(s) + 7*v(s). Suppose i(m) = 0. Calculate m.
-5, 1
Let q be 2 + (1 - (2 + -1)). Let m be 1 + 1/(23/21*(-40)/40). Factor 0 - 2/23*w + m*w**q.
2*w*(w - 1)/23
Factor 50*p + 5*p**2 - 762 - 108 - 130 + 15*p + 20*p.
5*(p - 8)*(p + 25)
Let u(c) = -c**3 - c**2 + c + 1. Suppose -4*y - 191 + 215 = 0. Let x(j) = -3*j**4 - 9*j**3 + 6*j**2 + 18*j + 6. Let f(o) = y*u(o) - x(o). Factor f(z).
3*z*(z - 2)*(z + 1)*(z + 2)
Let f(b) = 11*b**4 + 2*b**3 - 29*b**2 - 12*b + 18. Let r(i) = 2*i**4 - i**3 - 2*i**2 - i. Let m(v) = -3*f(v) + 15*r(v). Suppose m(w) = 0. Calculate w.
-9, -1, 1, 2
Let a = 2/606595 - -35182504/1819785. Let 8 + a*g**3 + 18*g**2 - 80/3*g + 22/3*g**5 - 26*g**4 = 0. Calculate g.
-1, 6/11, 1, 2
Let m(r) be the third derivative of r**7/945 - 2*r**6/27 + 5*r**5/9 + 1250*r**4/27 + 15625*r**3/27 + 111*r**2 + 3*r. Factor m(x).
2*(x - 25)**2*(x + 5)**2/9
Let p(t) = 17*t**3 - 1095*t**2 + 1738*t + 625. Let a(j) = -4*j**3 + 274*j**2 - 434*j - 157. Let y(m) = 11*a(m) + 3*p(m). Factor y(s).
(s - 37)*(s - 2)*(7*s + 2)
Factor -2775556/3 - 3332/3*o - 1/3*o**2.
-(o + 1666)**2/3
Let d(b) be the first derivative of -3/5*b**5 - 27/7*b**2 + 0*b + 57/28*b**4 + 144 + b**3 - 1/14*b**6. Suppose d(o) = 0. What is o?
-9, -1, 0, 1, 2
Let k = 88 + -47. Let x = k + -39. Solve 14*y**2 - 12*y - 8*y**2 - 9*y**x = 0 for y.
-4, 0
Let k(f) = -f + 17. Let y be k(15). Factor 79*m**2 - 161*m**2 - 12*m + 79*m**y.
-3*m*(m + 4)
Let i(q) be the first derivative of -q**4/8 - 7*q**3/2 - 39*q**2/4 - 19*q/2 - 1826. Solve i(p) = 0.
-19, -1
Let f be 2366/21 + (-12)/(-9). Let -33*g**3 - 3*g**4 - 11*g - f*g**2 - 72 - 293*g + 148*g = 0. Calculate g.
-6, -2, -1
Let n(x) be the first derivative of -x**4/16 - 37*x**3/6 - 1209*x**2/8 + 1521*x + 815. Factor n(p).
-(p - 4)*(p + 39)**2/4
Suppose 0 = -h + 10*h + 1233. Let g = -130 - h. Factor g*q**5 + q**4 + 8*q**5 + 3*q**5 - 19*q**5.
-q**4*(q - 1)
Let n(u) = 50*u - 997. Let s be n(20). Let b(d) be the second derivative of 16*d + 1/12*d**s + 0*d**2 + 0*d**4 + 0 - 1/40*d**5. Factor b(q).
-q*(q - 1)*(q + 1)/2
Let y(d) = -6*d**2 + 18*d + 184. Let f(u) = 5*u**2 - 35*u - 183. Let n(h) = 4*f(h) + 3*y(h). Determine w so that n(w) = 0.
-2, 45
Let w(l) = 206*l**2 + 7*l - 8. Let f be w(-5). Let o = 56219/11 - f. Determine q so that -2/11*q**3 - o*q + 20/11 + 24/11*q**2 = 0.
1, 10
Let n(t) = -26*t**2 + 61*t**2 - 31*t**2 - 25 - 14*t. Let r(g) = g**2 - 5*g - 8. Let b(u) = -4*n(u) + 14*r(u). Find c such that b(c) = 0.
-6, -1
Suppose -5*b + b + 20 = 0. Suppose 3 = z, 5*z - 25 - 5 = -b*p. Factor -3/8*o + 3/8*o**p + 0*o**2 + 0.
3*o*(o - 1)*(o + 1)/8
Let i be ((-6)/(-15))/((-2)/(-10)). Factor -25*w + 33*w - 5*w**2 + 7*w**i.
2*w*(w + 4)
Let p = -10111 + 60667/6. Let r(a) be the second derivative of 2*a**2 - 3/10*a**5 + 17*a - 1/15*a**6 + a**3 + 0 - p*a**4. Find t such that r(t) = 0.
-2, -1, 1
Suppose -2*k = -4*u - 20, -32104*u - 44 = -32105*u - 3*k. Solve -2/3*n**3 + 0*n + 2/3*n**u + 0 = 0 for n.
0, 1
Factor -69*p**2 + 258*p**2 - 2637 - 186*p**2 - 2634*p.
3*(p - 879)*(p + 1)
Suppose 0*o + a - 8 = -o, -3*a = -5*o + 72. Suppose 5*x - o*x + 14 = 0. Factor 0*c**x + 4 + 8*c**3 + 4*c**5 + 8*c**2 - 5*c - 3*c**4 - 9*c**4 - 7*c.
4*(c - 1)**4*(c + 1)
Suppose 35*v + 4586 = -524. Let h = -146 - v. Factor h - 2/11*s**2 - 8/11*s.
-2*s*(s + 4)/11
Suppose -4*g - 1 + 81 = -4*h, 5*g = -2*h + 51. Let b(w) be the first derivative of -1/38*w**4 + 64/19*w - 4/19*w**3 - g + 0*w**2. Solve b(l) = 0 for l.
-4, 2
What is u in 26/5*u + 1/5*u**3 + 19/5*u**2 - 136/5 = 0?
-17, -4, 2
Let v = -160 - -162. Let -15*f + v*f - 2*f**4 - 6 + 2*f**2 - 12*f**3 + 19*f**3 + 0*f = 0. Calculate f.
-1, -1/2, 2, 3
Let b be (-26)/65 - 1382/(-5). Suppose -l + b - 269 = 0. Let 157*k + 5*k**3 + 20 - 112*k + 23*k**2 + l*k**2 = 0. Calculate k.
-4, -1
Let x(v) be the first derivative of 36 - 1/24*v**5 + 17/2*v**2 + 1/48*v**6 + 0*v**3 + 0*v + 0*v**4. Let c(l) be the second derivative of x(l). Factor c(r).
5*r**2*(r - 1)/2
Let n(a) be the second derivative of a**4/60 + 97*a**3/30 + 48*a**2/5 + 4*a - 224. Solve n(d) = 0.
-96, -1
Determine b, given that -75/8*b + 0 - 3/4*b**4 + 3/8*b**5 + 75/4*b**2 - 9*b**3 = 0.
-5, 0, 1, 5
Let q(l) = -4*l**4 + 6*l**3 + 18*l**2 + 12*l + 6. Let u(t) = t**5 + t**3 + t**2 - t + 1. Let r = -97 - -98. Let w(p) = r*q(p) - 2*u(p). Factor w(j).
-2*(j - 2)*(j + 1)**4
Suppose -28 = -14*q + 15 - 15. Let g(l) be the third derivative of 0*l**3 - 1/840*l**7 + 0*l + 0 - 1/240*l**6 - 3*l**q + 1/240*l**5 + 1/48*l**4. Factor g(x).
-x*(x - 1)*(x + 1)*(x + 2)/4
Suppose 5*d = -2*n - 27 - 3, -5*n - 33 = 2*d. Let y be 21 + -3 + (-8 - n). Let -y*r + 35*r**3 - 5 - r**2 - 13*r**5 + 2*r**2 - 7*r**5 + 4*r**2 = 0. What is r?
-1, -1/2, 1
Let b(r) be the third derivative of 1/12*r**4 + 0*r - 1/120*r**5 - 66*r**2 + 0 - 1/4*r**3. Factor b(l).
-(l - 3)*(l - 1)/2
Let m(p) be the first derivative of p**6/27 - 4*p**5/45 - 25*p**4/18 + 4*p**3/27 + 8*p**2/3 - 5439. Find a, given that m(a) = 0.
-4, -1, 0, 1, 6
Let d(s) be the first derivative of -9/2*s**4 - 64/27*s**3 - 1/9*s**5 + 0*s - 11 + 0*s**2. Factor d(v).
-v**2*(v + 32)*(5*v + 2)/9
Let b = 1105466/7 - 157918. What is d in -52/7*d - 18/7*d**2 - b + 1/7*d**3 + 1/7*d**4 = 0?
-2, 5
Suppose 4*l = -12*l. Let -w**2 - 21*w - 3 + l + 25*w = 0. Calculate w.
1, 3
Factor -t**2 + 21*t + 43*t - 614 + 238 + 313.
-(t - 63)*(t - 1)
Suppose -11313/4*j**4 + 294*j + 0 + 14439/2*j**3 - 243/4*j**5 - 2787*j**2 = 0. What is j?
-49, 0, 2/9, 2
Let s = -2497/76 + 648/19. Let g(m) be the first derivative of -5/3*m**3 + 0*m - 4 - 5/2*m**2 + m**5 + s*m**4. Factor g(l).
5*l*(l - 1)*(l + 1)**2
Let r be -1 - -2 - (-3510)/(-4914). Find v, given that -8/7*v + 0*v**2 + r*v**3 + 0 = 0.
-2, 0, 2
Let g be (-15)/105 + 11/28. Suppose 5*u = -2*t + 5 + 9, 0 = -3*t + 3*u. Determine d so that g*d + 3/8*d**t - 3/8*d**3 - 1/4*d**4 + 0 = 0.
-2, -1/2, 0, 1
Let s(u) = 2*u**3 + 10*u**2 + 6*u - 6. Let g be s(-5). Let n be g/13*24/(-36). Suppose 6/13*l**5 - n*l**2 + 4/13*l**4 - 8/13*l + 0 - 18/13*l**3 = 0. What is l?
-1, -2/3, 0, 2
Let b = 122396 - 122394. What is a in 0 + 16/9*a**3 + 4/3*a - 2/9*a**4 - 26/9*a**b = 0?
0, 1, 6
Let o be (-2)/4 + 171/38 + 0. Factor 32*l - 16*l**o + 4 - l**3 + 63*l**2 - 10*l**3 + 3*l**3.
-(l - 2)*(l + 2)*(4*l + 1)**2
Let u(x) = 33*x**3 + 687*x**2 - 1914*x + 1284. Let r(g) = -2*g**3 - 2*g**2 - g. Let o(h) = -18*r(h) - u(h). Factor o(y).
3*(y - 214)*(y - 2)*(y - 1)
What is s in -22*s - 89*s + 8*s**3 + 3*s**2 - s**2 - 6*s**2 - 48 + 11*s = 0?
-3, -1/2, 4
Suppose 3*d + 1 = 2*o + 8, -36 = -4*o - 4*d. Let x(j) = j - 12. Let b be x(12). Determine a so that -5/7*a**o + b*a + 2/7*a**2 - 1/7*a**3 + 0 - 2/7*a**5 = 0.
-2, -1, 0, 1/2
Let i be 2 + (7 - 3) - (8 + -4). Suppose 5*u + 10 = 4*d, -u + i*d = 13 - 5. Suppose -f**3 + 1/2 + 1/2*f**4 + 1/2*f - f**u + 1/2*f**5 = 0. What is f?
-1, 1
Factor 531/4 - 1/4*c**4 - 219*c + 199/2*c**2 - 13*c**3.
-(c - 3)**2*(c - 1)*(c + 59)/4
Let u(z) be the third derivative of z**8/84 - 4*z**7/35 - 1375*z**2. Solve u(k) = 0.
0, 6
Let j(k) be the second derivative of 5*k**4/12 + 15*k**3/2 - 25*k**2 - 59*k - 9. Factor j(s).
5*(s - 1)*(s + 10)
Find b, given that -184/7*b - 2/7 + 2/7*b**2 + 184/7*b**3 = 0.
-1, -1/92, 1
Let t be 1 + -3 - (6/39 - (-9288)/(-2236)). Let -32/9*u**3 + 2/9*u**5 - 8/3*u**t + 0*u - 2/3*u**4 + 0 = 0. What is u?
-2, -1, 0, 6
Let f = 196 - 191. Suppose -4*d = -9*d + 5*g + 35, 23 = f*d - g. Find b such that -14/13*b**d + 4/13*b**3 - 10/13*b + 6/13*b**5 + 12/13*b**2 + 2/13 = 0.
-1, 1/3, 1
Let m be (3 + 37/(-9))/(120/(-11250)). Let y(o) be the third derivative of 5/4*o**5 + 1/24*o**6 + 0 + m*o**3 + 11*o**2 + 125/8*o**4 + 0*o. Factor y(a).
5*(a + 5)**3
Suppose -18*y - 2*j = -22*