20*y**6 - 1/48*y**4 + 0 - 1/12*y**3 + 0*y**2 - 7*y. Factor x(d).
d*(d - 1)*(d + 1)*(d + 2)/4
Let y(j) = -j**2 - 14*j + 49. Let t(x) = 3*x**2 + 28*x - 98. Suppose -u = 1, -u = -3*s + 7*s - 39. Let k(o) = s*y(o) + 4*t(o). Factor k(n).
2*(n - 7)**2
Let k(r) be the second derivative of -r**4/60 - 3*r**3/5 - 81*r**2/10 + 155*r. Factor k(h).
-(h + 9)**2/5
Let t(q) be the first derivative of 9*q**4 - 21/5*q**5 - 3*q**3 + 0*q - 3*q**2 + 10. Factor t(c).
-3*c*(c - 1)**2*(7*c + 2)
Suppose -2*b = 3*n + 3, -3 = 2*b + 4*n + 1. Suppose -3*j + 15 = b, 16 = -4*c + 5*j - 1. Let 5*q**2 - q**2 + q**2 - 2 - 3*q**c = 0. What is q?
-1, 1
Let l be 1 + (178/(-267))/((-20)/18). Let i(x) be the first derivative of -2/15*x**3 - l*x**2 + 1 - 32/5*x. Factor i(q).
-2*(q + 4)**2/5
Let t be 4/((-3)/(-12) + 0). Suppose t = 9*d - d. Solve -3/7*g**d + 18/7*g - 27/7 = 0 for g.
3
Factor -3/8*a**2 - 6 - 3*a.
-3*(a + 4)**2/8
Let j = 70 - 70. Let p(k) be the third derivative of j + 6*k**2 + 0*k**4 + 0*k + 0*k**3 + 1/42*k**7 + 0*k**5 - 1/24*k**6. Determine w, given that p(w) = 0.
0, 1
Let j = 1121/30 - 186/5. Factor 0 + 0*c - 1/6*c**4 + 1/3*c**3 - j*c**2.
-c**2*(c - 1)**2/6
Suppose t - 1 = 8. Suppose 2*x = 7 - 3. Let c(u) = -9*u**2 + u - 2. Let m(h) = 36*h**2 - 3*h + 9. Let n(d) = t*c(d) + x*m(d). Factor n(y).
-3*y*(3*y - 1)
Suppose -16*p + 59*p = 16*p. Factor -2/11*t**2 + p - 2/11*t.
-2*t*(t + 1)/11
Let c(n) = n**2 - n + 10. Let o be c(-4). Factor -7*w**2 + 75 + 7*w**2 + o*w + 0*w**2 + 3*w**2.
3*(w + 5)**2
Let d = -3451 - -3453. Factor 2/13*x**d - 6/13 + 4/13*x.
2*(x - 1)*(x + 3)/13
Let w be -4 - (-16 + 3 + 6). Let v(m) be the third derivative of -1/84*m**4 + 1/42*m**w + 0*m - 3*m**2 - 2/105*m**5 + 0. Factor v(d).
-(2*d + 1)*(4*d - 1)/7
Let s be (1419/(-1892))/(6/(-4)). Factor -3/4 + s*o + 1/4*o**2.
(o - 1)*(o + 3)/4
Let g(p) = -p**2 + 29*p + 4. Let d be g(29). Suppose 5*a - 6*z + 4 = -4*z, -2*a + 2*z = d. Suppose a*b**2 + 4/3*b**3 - 4/3*b + 0 = 0. Calculate b.
-1, 0, 1
Suppose -5*u + 10 = 0, -h - 40 = -5*h + 4*u. Suppose h*g - 12 = 8*g. Determine r so that 6/11*r**2 - 4/11*r + 0 - 2/11*r**g = 0.
0, 1, 2
Let g(v) be the first derivative of -3*v**5 - 35*v**4/4 + 15*v**3 + 35*v**2/2 - 30*v + 63. Solve g(d) = 0 for d.
-3, -1, 2/3, 1
Let h be 4/104*(-27)/(405/(-60)). Determine l, given that 6/13*l + 4/13 + h*l**2 = 0.
-2, -1
Let z(j) = -7*j**4 - 5*j**3 - 6*j**2 - 12*j + 6. Let r(m) = m**4 + 2*m - 1. Let s(y) = 6*r(y) + z(y). Factor s(t).
-t**2*(t + 2)*(t + 3)
Factor 0*y - 2/13*y**4 + 8/13*y**2 + 0 - 6/13*y**3.
-2*y**2*(y - 1)*(y + 4)/13
Let q(l) be the first derivative of l**4/3 - 4*l**3/3 - 6*l**2 - 2*l - 14. Let i(b) be the first derivative of q(b). Factor i(y).
4*(y - 3)*(y + 1)
Let d(o) be the second derivative of o**7/45 + 16*o**6/225 - 3*o**5/10 + 7*o**4/45 + 8*o**3/45 - 213*o - 1. Solve d(f) = 0.
-4, -2/7, 0, 1
Let u(v) = -v**3 + 3*v + 3. Let n be (5 + -5)*(-1)/2. Let b be u(n). Find j such that 1/2*j - 3/4*j**4 - 1/4*j**b + 3/4*j**2 + 0 - 1/4*j**5 = 0.
-2, -1, 0, 1
Let v be 48/36 + -5 + 4. Factor -8/3*q + v*q**2 + 16/3.
(q - 4)**2/3
Let b(t) = -t**3 - 11*t**2 - 8*t + 20. Let a be b(-10). Factor -3/8*m**2 + a - 1/8*m**3 - 1/4*m.
-m*(m + 1)*(m + 2)/8
Suppose 2 = -z - 3*s, 0 = 2*s + 4 + 2. Let m = -4 + z. Factor -j**2 - 2*j**m - 2*j - j**2 + 2*j.
-2*j**2*(j + 1)
Let s(k) = -51 - 59 + 3*k**2 - 4*k + 116. Let i(r) = r. Let c(d) = -2*d**2 - 5*d - 2. Let z be c(-3). Let j(p) = z*i(p) + s(p). Factor j(q).
3*(q - 2)*(q - 1)
Let b(i) be the third derivative of i**7/2240 - i**6/480 + i**5/320 + i**3/3 + i**2. Let y(p) be the first derivative of b(p). Factor y(h).
3*h*(h - 1)**2/8
Let z(c) = c - 1. Let i(h) be the first derivative of h**4/2 - 2*h**3 - 3*h**2 + 10*h - 13. Let a(o) = -i(o) - 12*z(o). Find n such that a(n) = 0.
1
Suppose 168 = 77*x - 21*x. Suppose -9/5*d**2 - 3/5*d**x - 6/5*d + 0 = 0. What is d?
-2, -1, 0
Let j = -9009 - -3273. Let h = j - -74632/13. Factor 8/13 + 194/13*x**2 + h*x + 190/13*x**4 + 278/13*x**3 + 50/13*x**5.
2*(x + 1)**3*(5*x + 2)**2/13
Let z(o) be the third derivative of o**7/2940 - o**6/210 + o**5/35 + 17*o**4/24 - 14*o**2. Let y(n) be the second derivative of z(n). Solve y(l) = 0.
2
Let t(s) be the second derivative of -s**5/40 + 3*s**4/4 - 5*s**3/4 - 17*s**2/2 - 12*s + 11. Factor t(i).
-(i - 17)*(i - 2)*(i + 1)/2
Suppose 3*o = 3*y + 9 - 126, 4*o = -y + 39. Let r = y + -39. Determine b, given that r*b**2 - 1/4*b**3 + 3/4*b - 1/2 = 0.
-2, 1
Let s(n) be the first derivative of n**6/180 - n**5/120 - 31*n + 25. Let p(a) be the first derivative of s(a). Determine q, given that p(q) = 0.
0, 1
Let b(j) be the third derivative of -j**8/10920 - j**7/1820 + j**5/195 - 7*j**3/3 + 6*j**2. Let r(n) be the first derivative of b(n). Let r(g) = 0. Calculate g.
-2, 0, 1
Factor -2/5*l**2 - 2048/5 - 128/5*l.
-2*(l + 32)**2/5
Let l(z) be the second derivative of -z**4/18 - 13*z**3/9 + 14*z**2/3 - 8*z - 12. Factor l(q).
-2*(q - 1)*(q + 14)/3
Let r(f) be the first derivative of -33*f**5/10 + 135*f**4/4 - 203*f**3/2 + 108*f**2 - 30*f + 64. Solve r(g) = 0.
2/11, 1, 2, 5
Let g(p) = -3*p - 1. Let s be ((-3)/(-9))/((-1)/3). Let n be g(s). Factor -u - 3*u**2 + 2*u + 4*u**n.
u*(u + 1)
Let j(b) be the first derivative of -5*b**4/4 - 10*b**3 + 605*b**2/2 + 630*b + 883. Find z such that j(z) = 0.
-14, -1, 9
Let w be (-8 - -13) + (-1838)/(-9). Let b = w - 209. Let 4/9*t - 2/9*t**2 + 0 - 4/9*t**3 + b*t**4 = 0. Calculate t.
-1, 0, 1, 2
Let a(z) = z**3 + 3*z**2 - z. Let v(y) = -5*y**3 - 15*y**2 - 4*y - 24. Let b(p) = 6*a(p) + v(p). Factor b(i).
(i - 3)*(i + 2)*(i + 4)
Let h(j) be the first derivative of -j**6/51 - 26*j**5/85 - 23*j**4/17 - 8*j**3/17 + 72*j**2/17 - 160. Suppose h(d) = 0. Calculate d.
-6, -2, 0, 1
Find o such that 218*o**2 - 50*o**5 - 16 - 20*o + 145/2*o**4 + 457*o**3 = 0.
-2, -2/5, 1/4, 4
Let l(z) be the second derivative of -z**5/220 - 5*z**4/44 - 2*z**3/11 + 14*z**2/11 + 26*z + 3. Factor l(a).
-(a - 1)*(a + 2)*(a + 14)/11
Suppose -7 = n - 2, 0 = -2*s - 4*n - 36. Let v be ((-6)/s)/((-45)/(-10) + -3). Let -1/2*b**4 - 1/2*b**3 + 0 + 1/2*b**5 + 0*b + v*b**2 = 0. Calculate b.
-1, 0, 1
Let c = 2/11595 + 11587/46380. Suppose -1/2 - c*h**2 + 3/4*h = 0. Calculate h.
1, 2
Suppose -4*m = -5*k + 50, -3*k + k = 5*m + 13. Let y(g) be the first derivative of 1/3*g**k - 4/3*g**3 + 0*g + 7 + 0*g**2 + 5/2*g**4 - 8/5*g**5. Factor y(r).
2*r**2*(r - 2)*(r - 1)**2
Let v(h) = -h**4 - 2*h**3 - 36*h**2 - 90*h - 64. Let z(r) = -3*r**4 - 4*r**3 - 72*r**2 - 181*r - 128. Let n(l) = -15*v(l) + 6*z(l). Solve n(f) = 0 for f.
-2, 8
Let m(p) = 7*p - 15. Let d(t) = 4*t - 8. Let c(b) = -11*d(b) + 6*m(b). Let k be c(-2). Factor u**2 + 5 - k - 4 - 1 + u.
(u - 1)*(u + 2)
Factor 16434*s - 8218*s + 115520 - 9736*s + 5*s**2.
5*(s - 152)**2
Let w(d) = -d. Let y = 26 + -20. Let x(k) = -k**3 + 5*k**2 - 7*k - 3. Let g(p) = y*w(p) - x(p). Let s(c) = -c + 1. Let m(a) = -5*g(a) + 35*s(a). Factor m(r).
-5*(r - 2)**2*(r - 1)
Let c be ((-6)/4)/(15/(-20)). Let x be (-9 - -8)/((-1)/2). Suppose 0*s**x - 6*s**c + 3*s**2 + 9*s = 0. What is s?
0, 3
Let n(p) = -p**2 - 590*p. Let t(z) = 4*z**2 + 1768*z. Let u(y) = 8*n(y) + 3*t(y). Suppose u(x) = 0. Calculate x.
-146, 0
Let m(z) be the first derivative of z**7/5460 - z**6/2340 - 8*z**3 - 5. Let y(a) be the third derivative of m(a). Factor y(o).
2*o**2*(o - 1)/13
Let c be -6 + (-1 - -9) + -1 + 143. Let a be (-6)/(c/29) - (-12)/9. Determine k so that a*k**2 - 1/8*k**3 - 1/8 + 1/8*k = 0.
-1, 1
Let f(i) be the first derivative of 3*i**4 - 55*i**3 + 273*i**2 + 147*i + 79. Suppose f(d) = 0. What is d?
-1/4, 7
Let p(l) = 115*l - 9 - 114*l + 0. Let r be p(11). Factor -4 + 3*x**2 + 2*x + r*x**2 - 3*x**2.
2*(x - 1)*(x + 2)
Let s(g) be the first derivative of -g**6/6 - 14*g**5/5 - 15*g**4 - 24*g**3 + 11. Factor s(m).
-m**2*(m + 2)*(m + 6)**2
Let x(t) be the second derivative of -2*t**6/3 - 23*t**5/4 + 45*t**4/4 + 609*t. Let x(i) = 0. What is i?
-27/4, 0, 1
Let w be 126/12*8/3. Factor -16 - 15 + w + 3*i**2.
3*(i - 1)*(i + 1)
Let k(c) = 2*c**3 - 7*c**2 - 3. Let b(m) = -8*m**3 - m**2 - 3*m - 1. Let x be b(-1). Let f(j) = -4*j**3 + 15*j**2 + 7. Let w(q) = x*k(q) + 4*f(q). Factor w(u).
(u - 1)**2*(2*u + 1)
Let w(d) be the third derivative of d**6/60 - 19*d**5/90 - 7*d**4/18 + 165*d**2. Factor w(h)