- 292/15*c.
-2*(c + 73)**2/15
Let l be 3/12 - (-7)/4. Factor -7*q**3 + 3*q**l + 10*q**3 - 6 - 15*q + 15.
3*(q - 1)**2*(q + 3)
Suppose 28 = 5*f - f. Factor f*i**2 + 6*i**4 - 10*i**2 - 3*i**3 - 5*i**4 + 2*i**4 + 3*i.
3*i*(i - 1)**2*(i + 1)
Let j = 21 + -19. Factor -4*v**j - 112*v + 110*v + v**2 + 4*v**2.
v*(v - 2)
Let u = -153 + 368. Let p = u - 1502/7. Solve 0*q**2 + 0 + p*q**5 - 3/7*q**3 + 0*q**4 + 0*q = 0 for q.
-1, 0, 1
Let u(g) = 8*g**2 - 44*g + 40. Let x(p) = -11*p**2 + 45*p - 39. Let a(k) = -5*u(k) - 4*x(k). What is f in a(f) = 0?
-11, 1
Let s(o) be the first derivative of -o**4/32 - 5*o**3/24 - o**2/8 + o - 119. Factor s(g).
-(g - 1)*(g + 2)*(g + 4)/8
Factor 91*u + 63*u**2 - 1589 + 1595 - 22*u.
3*(u + 1)*(21*u + 2)
Suppose 0 = 6*i - i - 15. Suppose -i*p + 2 + 4 = 0. Factor 0 + 0 + 2*b**p + 0 - b**3.
-b**2*(b - 2)
Let g(c) = -c**3 + 17*c**2 - 3*c + 45. Let n be g(17). Let w be n/(-60)*(-12)/(-3). Factor -2/5 - w*o**2 - 4/5*o.
-2*(o + 1)**2/5
Let c be 7 - (491/(-1473) + (184/30 - -1)). Factor 2/5*y**2 - c*y**3 + 0 - 2/5*y**4 + 0*y + 1/5*y**5.
y**2*(y - 2)*(y - 1)*(y + 1)/5
Suppose 2*h + 40 = 4. Let u(d) = -d**4 - d**3 + d**2. Let w(g) = -9*g**4 - 12*g**3 - 18*g**2 - 24*g. Let k(m) = h*u(m) + w(m). Solve k(o) = 0.
-2, -2/3, 0, 2
Let j be ((-8)/2 + (-5724)/(-1350))*5. Find w such that -j*w**3 + 24/5*w + 2/5*w**4 - 16/5 - 4/5*w**2 = 0.
-2, 1, 2
Suppose 0 = -g - 170 + 172. Factor -1/6*z**g + 1/3 - 1/2*z + 1/2*z**3 - 1/6*z**4.
-(z - 2)*(z - 1)**2*(z + 1)/6
Let v be 3*9/(-81) - 15/(-9). Let i(z) be the second derivative of -2/5*z**5 + 0 + 2*z**2 + v*z**3 + 3*z - 2/15*z**6 + 0*z**4. Let i(q) = 0. What is q?
-1, 1
Let u be 4 + (-2*1 - 0). Let v = -57 + 73. Suppose -26*y**3 - v - 29*y**3 - 24*y + 53*y**3 - 12*y**u = 0. Calculate y.
-2
Let z(h) be the first derivative of -3/5*h**2 + 4/15*h**3 - 8/25*h**5 - 28 + 1/2*h**4 + 0*h. Let z(c) = 0. Calculate c.
-3/4, 0, 1
Suppose 0 = 29*j - 28*j - 3. Let p(l) be the second derivative of 0*l**2 + 3/4*l**5 + 0*l**j + 7/10*l**6 + 0 + 3/14*l**7 + 1/4*l**4 - 5*l. Factor p(d).
3*d**2*(d + 1)**2*(3*d + 1)
Let s(f) = 110*f**4 - 65*f**3 - 1915*f**2 - 1695*f. Let w(l) = -5*l**4 + 3*l**3 + 87*l**2 + 77*l. Let g(c) = 2*s(c) + 45*w(c). Factor g(j).
-5*j*(j - 5)*(j + 1)*(j + 3)
Let b be (-2*72/10)/(5/(-50)). Let s be ((-16)/b)/((-4)/6). Factor 0 - 1/6*j**4 + 0*j**3 + 0*j + s*j**2.
-j**2*(j - 1)*(j + 1)/6
Let h(a) be the first derivative of a**2 - 7/3*a + 1/9*a**3 + 12. Let h(i) = 0. Calculate i.
-7, 1
Let z(s) be the first derivative of -5*s**3/3 + 90*s**2 - 175*s - 74. Determine l so that z(l) = 0.
1, 35
Let j(w) be the second derivative of -1/42*w**4 + 1/21*w**3 + 0 + 0*w**2 + 1/105*w**6 - 1/70*w**5 - 14*w. Solve j(g) = 0.
-1, 0, 1
Let t(a) be the third derivative of a**7/7560 - a**6/360 + a**5/45 + 7*a**4/12 - 17*a**2. Let v(o) be the second derivative of t(o). What is z in v(z) = 0?
2, 4
Let n = 16 - 15. Factor -2 + n + 5*u - 3*u - 3*u**2 + u + u**3.
(u - 1)**3
Let b be (-640)/(-6) + -2 + 2/(-3). Factor 7*o**5 - 21*o**5 + b*o**3 - 96*o**2 + 44*o - 56*o**4 - 8 + 26*o**5.
4*(o - 1)**4*(3*o - 2)
Let x = 13 - -23. Let -x*n + 5*n**2 + 16*n**2 + 137 - 149 = 0. Calculate n.
-2/7, 2
Let o = 120 + -116. Factor -d**5 - 3*d**2 - 3*d**4 + 6*d**4 + 2*d**2 + d**3 - 2*d**o.
-d**2*(d - 1)**2*(d + 1)
Solve 0*t - 2/11*t**2 + 0 + 8/11*t**3 + 10/11*t**4 = 0 for t.
-1, 0, 1/5
Let a be (-16)/(-24)*(-3009)/7. Let p = 288 + a. Find k, given that 8/7*k**4 - p*k**3 + 0 + 6/7*k**5 - 4/7*k**2 + 0*k = 0.
-2, -1/3, 0, 1
Let r(w) be the second derivative of w**4/28 + 124*w**3/7 + 23064*w**2/7 + 29*w + 2. Factor r(h).
3*(h + 124)**2/7
Let u = 89353/41238 + -2/20619. Find w such that -1/6*w**5 - u*w + 5/12 + 17/12*w**4 - 11/3*w**3 + 25/6*w**2 = 0.
1/2, 1, 5
Let x be (-10 + 4)*(2 + 35/(-14)). Let r(q) be the first derivative of -3*q - 3/2*q**2 + q**x - 9 + 3/4*q**4. Suppose r(y) = 0. Calculate y.
-1, 1
Let i(a) be the first derivative of -a + 0*a**3 + 0*a**2 - 1/5*a**5 + 0*a**6 + 0*a**4 + 2/21*a**7 + 5. Let f(v) be the first derivative of i(v). Factor f(x).
4*x**3*(x - 1)*(x + 1)
Let l = 26454/7 - 25002/7. Let w = 208 - l. Factor -6/7 + w*s + 2/7*s**2.
2*(s - 1)*(s + 3)/7
Let l(k) = 8*k**3 - 17*k. Suppose 32 = 2*n - 10. Let m(h) = -33*h**3 + 69*h. Let q(y) = n*l(y) + 5*m(y). Factor q(j).
3*j*(j - 2)*(j + 2)
Let t be 1 - (-1 - 0)*1. Let v(c) = -c**3 + 6*c**2 + 9*c - 6. Let p be v(7). Factor -3*w**2 - 2 + 0*w - p*w - t.
-(w + 2)*(3*w + 2)
Determine u, given that 3/2 + 1/2*u**2 - 2*u = 0.
1, 3
Factor -10/11*n**2 + 8/11*n**3 - 14/11*n + 4/11.
2*(n - 2)*(n + 1)*(4*n - 1)/11
Let i = -1/7738 + 2472293/15476. Let p = i - 159. Factor p*d**3 + 0*d**2 + 0 + 0*d.
3*d**3/4
Let p(n) be the second derivative of n**5/180 - n**4/36 + n**3/18 - 7*n**2/2 + 8*n. Let w(s) be the first derivative of p(s). Factor w(i).
(i - 1)**2/3
Suppose 3*k - 33 = -2*z, z - 13 = -2*k + 4*k. Let h = -13 + z. Factor -4*g - g + 4*g**2 + 4*g - 3*g**h.
g*(g - 1)
Let c(v) be the first derivative of -v**8/4200 + v**7/1050 - v**5/150 + v**4/60 + 7*v**3/3 - 6. Let i(j) be the third derivative of c(j). Factor i(l).
-2*(l - 1)**3*(l + 1)/5
Let s = -641 - -645. Suppose 5*v = 5*q + 40, 0 = 2*v + 3*v + 5*q + 10. Factor -s*z - 8*z**3 + z**2 - 9*z**2 + 4*z**v.
-4*z*(z + 1)**2
Let z(v) be the third derivative of v**7/70 - 29*v**6/60 + 19*v**5/60 + 904*v**2. Solve z(a) = 0.
0, 1/3, 19
Let o be 10*(-13)/(-4)*(-13)/65. Let k = 43/6 + o. Solve -k*q + 2/3*q**3 - 4/3*q**2 + 4/3 = 0.
-1, 1, 2
Let c(a) = a + 1. Let j be c(-2). Let r be (-4)/((j - -3)/(-2)). Factor 9*d**5 - d - 6*d**r + d**5 + 6*d**2 - 8*d**3 - d**5.
d*(d - 1)*(d + 1)*(3*d - 1)**2
Let v be ((-483)/70 - -9) + -2. Let q(l) be the second derivative of 3*l - v*l**5 + 0 + 1/15*l**4 - 7/75*l**6 + 0*l**3 + 0*l**2. Find y such that q(y) = 0.
-1, 0, 2/7
Let s be (-75)/(-12) - 99/44. Find l such that -2/3 + l + 4/3*l**s + 16/3*l**2 + 5*l**3 = 0.
-2, -1, 1/4
Let b(l) be the third derivative of -l**6/80 + 3*l**5/20 - 11*l**4/16 + 3*l**3/2 + 2*l**2 - 6*l. Factor b(a).
-3*(a - 3)*(a - 2)*(a - 1)/2
Let d(q) be the first derivative of -4*q**5/25 + q**4/5 - 8. Determine p, given that d(p) = 0.
0, 1
Let -970 - 15*a + 27*a**2 + 922 - 3*a - 3*a**3 = 0. What is a?
-1, 2, 8
Suppose -2 = 3*r + 3*v - 5, 3*v + 21 = 5*r. Determine g so that 4*g**3 - 5 + r*g**2 + 4*g**4 - 4*g**2 - 15*g**2 + 1 + 14*g - 2*g**5 = 0.
-2, 1
Factor 6/5*p**3 - 21*p**2 + 432/5*p + 243/5.
3*(p - 9)**2*(2*p + 1)/5
Factor -4*w**2 - 3*w**2 + 6*w**2 - 17*w - 78 + 36.
-(w + 3)*(w + 14)
Let q(i) be the first derivative of i**4/8 + 97*i**3/6 + 2303*i**2/4 - 2401*i/2 - 198. Factor q(m).
(m - 1)*(m + 49)**2/2
Let p be (-3328)/320 + (-24)/(-2). Find h such that -2/5*h**3 + 2/5*h**2 + p*h - 8/5 = 0.
-2, 1, 2
Let n be 0/35*(-4)/4. Factor -1/4*r**4 + 1/4*r**2 + n + 1/4*r**3 + 0*r - 1/4*r**5.
-r**2*(r - 1)*(r + 1)**2/4
Factor 1/8*w**3 + w**2 + 0 + 2*w.
w*(w + 4)**2/8
Let d(u) be the first derivative of -3*u**5/35 - 3*u**4/14 + u**3 + 12*u**2/7 - 36*u/7 - 846. Suppose d(c) = 0. Calculate c.
-3, -2, 1, 2
Let j = -7030 + 21092/3. Let 0*k + 2/3*k**4 - j*k**5 - 2/3*k**2 + 2/3*k**3 + 0 = 0. Calculate k.
-1, 0, 1
Let a(z) be the first derivative of 0*z**3 + 9 + 0*z + 3/2*z**2 - 3/4*z**4. Factor a(c).
-3*c*(c - 1)*(c + 1)
Let b(r) = 23*r - 366. Let a be b(16). Let j(i) be the first derivative of 0*i**a + 4/15*i**3 + 8 + 0*i. Factor j(k).
4*k**2/5
Let r = -1059 + 1059. Let q(d) be the third derivative of 0*d**4 + 0*d**3 - 10*d**2 - 1/70*d**7 + 0*d - 1/20*d**5 + r - 1/20*d**6. Factor q(b).
-3*b**2*(b + 1)**2
Let k(f) be the first derivative of 33/2*f**2 + 21/4*f**4 + 6*f - 14 + 16*f**3. Factor k(m).
3*(m + 1)**2*(7*m + 2)
Let z = -34 + 37. What is f in -2*f**2 - 3 + 3*f**2 - f**z + 3 = 0?
0, 1
Let u = 2924/133 - 396/19. Factor -4/7 + 10/7*s - u*s**2 + 2/7*s**3.
2*(s - 2)*(s - 1)**2/7
Let s be (-6)/21 + (-4)/(-14). Suppose 12*f - 11*f - 6 = s. Factor -f + 9/2*v**2 + 0*v + 3/2*v**3.
3*(v - 1)*(v + 2)**2/2
Suppose 7/4*a + 3 + 1/4*a**2 = 0. Calculate a.
-4, -3
Let q(d) be the second derivative of d**6/240 - 7*d**5/10 + 541*d**4/16 - 385*d**3/3 + 3025*d**2/16 - 24*d. Factor q(b).
(b - 55)**2*(b - 1)**2/8
Let w(y) be the second derivative of y**7/5040 + 5*y**4/6 - 10*y. Let l(n) be the third derivative of w(n). Factor l(i