. Let u be z(t). Factor 0 + 0*d - 1/5*d**u.
-d**2/5
Find a such that -1/4*a**5 - 3/2*a**4 + 3/2*a**2 + 2*a - 7/4*a**3 + 0 = 0.
-4, -2, -1, 0, 1
Let n(f) be the second derivative of -f**7/42 - f**6/6 - 2*f**5/5 - f**4/3 - f - 20. Suppose n(l) = 0. Calculate l.
-2, -1, 0
Suppose 15/2*p**4 + 0 - 15/2*p**2 + 0*p - 3/2*p**5 + 3/2*p**3 = 0. Calculate p.
-1, 0, 1, 5
Let w(g) be the second derivative of 0*g**2 + 1/20*g**5 + 1/30*g**4 + 0 - 1/42*g**7 + 12*g - 1/75*g**6 + 0*g**3. Suppose w(b) = 0. What is b?
-1, -2/5, 0, 1
Let t(u) = -17*u**3 - 26*u**2 + 21*u - 11. Let s(n) = -3*n**3 - 5*n**2 + 4*n - 2. Let b(p) = 11*s(p) - 2*t(p). Determine j so that b(j) = 0.
0, 1, 2
Let w(q) = -q**2 + 15*q + 14. Let a be w(16). Let u be (0/(10 - 4))/(a/1). Factor 4/3*f**3 - 4/3*f - 2/3*f**4 + u*f**2 + 2/3.
-2*(f - 1)**3*(f + 1)/3
Determine p so that 0 - 644*p**3 - 260/9*p**4 - 8232*p - 4/9*p**5 - 5292*p**2 = 0.
-21, -2, 0
Let r(v) be the third derivative of v**7/490 - 43*v**6/140 + 87*v**5/5 - 10933*v**4/28 - 24389*v**3/14 + 2*v**2 - 311. Factor r(q).
3*(q - 29)**3*(q + 1)/7
Let p(k) be the first derivative of -147*k**4/4 + 868*k**3 - 5766*k**2 + 412. Factor p(o).
-3*o*(7*o - 62)**2
Let r = 35 + -31. Let 20 + 14 - 31 - 6*d**3 + 6*d - 3*d**r = 0. What is d?
-1, 1
Let a be (-42)/28 - (110/(-12) + 1). Let u(l) be the first derivative of a*l**3 - 8*l + 1 - 6*l**2. Solve u(d) = 0 for d.
-2/5, 1
Let g = 1485/2 - 741. Suppose 9/2 - g*q + 1/8*q**2 = 0. Calculate q.
6
Let o = 2/14217 + 127949/28434. Factor -1/4*f + 36*f**4 - 16*f**5 + 0 - 97/4*f**3 + o*f**2.
-f*(f - 1)**2*(8*f - 1)**2/4
Suppose -p - 89 = -5*v - 82, 5*p + 5*v - 25 = 0. What is t in 3/2*t**2 - p*t + 3/2 = 0?
1
Let r(g) be the third derivative of -g**6/100 - 28*g**5/75 - 93*g**4/20 - 54*g**3/5 + 96*g**2. Factor r(n).
-2*(n + 9)**2*(3*n + 2)/5
Suppose -5*h + 0*h - 18*h = 0. Let v(m) be the third derivative of 1/228*m**4 + 0 - 8*m**2 - 1/285*m**5 + 0*m + h*m**3 + 1/1140*m**6. Factor v(a).
2*a*(a - 1)**2/19
Let t = -252313/7 - -36045. What is f in -1/7*f**4 + 3/7*f**3 - 1/7*f**2 - 3/7*f + t = 0?
-1, 1, 2
Let x(b) be the third derivative of 2/49*b**7 + 0 + 3*b**2 + 0*b - 13/105*b**5 + 1/15*b**6 + 8/21*b**3 - 4/21*b**4. Solve x(r) = 0.
-1, 2/5, 2/3
Let m be (-3)/(252/(-511)) + -6. Let h(v) be the first derivative of m*v**4 - 1/15*v**5 + 0*v - 1/6*v**2 + 1/9*v**3 + 5. Factor h(u).
-u*(u - 1)**2*(u + 1)/3
Factor 4/5*t**2 - 12/5*t - 112/5.
4*(t - 7)*(t + 4)/5
Let n be ((-65)/52)/(2/(-8)). Factor n*m + 5*m**2 - m - 5*m**3 - 5 - 6*m + 7*m.
-5*(m - 1)**2*(m + 1)
Let f be 7 - 13 - (2 - 8). Let r(a) be the first derivative of -2/11*a**3 - 1/22*a**4 + f*a - 2/11*a**2 - 5. Factor r(m).
-2*m*(m + 1)*(m + 2)/11
Suppose -1525*h = 4*s - 1520*h + 7, 0 = 5*h + 15. Solve -2/17*j**s - 450/17 + 60/17*j = 0 for j.
15
Factor -6 - y**2 + y**2 - 26*y + 30*y + 2*y**2.
2*(y - 1)*(y + 3)
Let w(m) be the second derivative of 10/27*m**3 + 0 - 4/3*m**2 - 1/27*m**4 + 22*m. Factor w(f).
-4*(f - 3)*(f - 2)/9
Let k = -2581 + 2584. Let w(l) be the first derivative of 3/32*l**4 + 1/2*l**k + 3/4*l**2 + 0*l - 7. Suppose w(m) = 0. Calculate m.
-2, 0
Suppose -5*j + 15 = 5*q, 3*q = -5*j + 13 + 6. Solve 4 + 2*g - j*g - 4*g + 4*g**2 - g = 0.
1
Suppose 2*x = 6*x - 8. Find t such that -4/9*t**3 + 0 + 2/9*t**5 + 2/9*t + 0*t**4 + 0*t**x = 0.
-1, 0, 1
Let a be 1/(-5) + 288/1140. Let b = 43/95 - a. Factor -6/5*c**2 - 2/5 + b*c**3 + 6/5*c.
2*(c - 1)**3/5
Factor 0 + 3/5*o**4 + 36/5*o**3 - 3/5*o**2 - 36/5*o.
3*o*(o - 1)*(o + 1)*(o + 12)/5
Suppose 3*b - 226 = 56. Suppose 4*f + 4*w = 136, -3*f = -6*w + w - b. Factor -5*r**3 + r**3 - 16*r**2 - 8 + 13*r - f*r + 0*r**2.
-4*(r + 1)**2*(r + 2)
Let f = 92678 - 17979433/194. Let x = -1/97 + f. Solve 0*u + x*u**3 + 3/2*u**4 - 3/2*u**2 + 0 - 1/2*u**5 = 0 for u.
-1, 0, 1, 3
Let v(z) = -7*z + 80. Let i be v(11). Let l be 4 - (5 - (i - 2)). Solve 0 + l*j - 2/9*j**3 + 2/9*j**2 = 0.
0, 1
Let g = -16 - -16. Suppose -7*c + c + 48 = g. Factor c*n**2 - 14*n**2 - 7*n - n + 8.
-2*(n + 2)*(3*n - 2)
Suppose -j + 2*u - 4 = 3, j + 2 = u. Suppose -9 = -3*x - 0*x. Factor -21*a**j - 3*a**2 - 3*a**2 + 0*a**x.
-3*a**2*(7*a + 2)
Let m(l) be the second derivative of -3*l**5/160 + l**4/2 - 4*l**3 + 2*l + 51. Let m(f) = 0. What is f?
0, 8
Let n(m) be the third derivative of m**10/604800 - m**9/80640 + m**7/5040 - m**5/6 - 2*m**2. Let s(u) be the third derivative of n(u). Factor s(p).
p*(p - 2)**2*(p + 1)/4
Suppose -3/5*y**2 + 18/5 + 3*y = 0. What is y?
-1, 6
Suppose 4*n + 2 = 3*x, 861*n + 1 = -x + 864*n. Determine c, given that 4/3*c - 1/3*c**x - 1 = 0.
1, 3
Let d(r) be the first derivative of 16*r**3/3 + 38*r**2 + 48*r + 55. Let d(n) = 0. What is n?
-4, -3/4
Suppose h = -3*v + 8, v - 26 = -0*h - 5*h. Find y such that 46*y - y**2 + v - 19*y - 27*y = 0.
-1, 1
Let b(i) be the second derivative of -i**6/120 + i**4/8 + i**3/3 + i**2/2 - 17*i. Let o(s) be the first derivative of b(s). Suppose o(d) = 0. What is d?
-1, 2
Let o = -355 - -179. Let s = -174 - o. Find u such that -2*u**s + 1/2*u**3 + 5/2*u - 1 = 0.
1, 2
Suppose 4*y + 1 = 13. Factor 7*n**y - 3*n**3 + n**3 - 15*n**4 - 6*n**5 + 16*n**5.
5*n**3*(n - 1)*(2*n - 1)
Let k(p) = p**3 + 10*p**2 - 21*p + 39. Let q be k(-12). Let m(o) be the first derivative of 3/8*o**4 + 0*o + 2 - 3/4*o**2 + 0*o**q. Let m(w) = 0. What is w?
-1, 0, 1
Let 176*i + 480 + 58/3*i**2 + 2/3*i**3 = 0. What is i?
-12, -5
Let u(y) be the first derivative of -y**5/5 - 3*y**4/4 + 5*y**3/3 + 3*y**2/2 - 4*y + 410. Determine n so that u(n) = 0.
-4, -1, 1
Let x be (-13)/((-507)/(-18))*(70/(-3))/14. Suppose -4/13 + 18/13*c - 24/13*c**2 + x*c**3 = 0. Calculate c.
2/5, 1
Let t(m) be the first derivative of 0*m - 2/3*m**2 + 0*m**4 - 2/15*m**5 - 35 + 2/3*m**3. Factor t(g).
-2*g*(g - 1)**2*(g + 2)/3
Let c = -2001 - -2007. Let d(g) be the second derivative of 1/20*g**5 - 5/12*g**4 + 1/10*g**c - g - 1/6*g**3 + 0 + g**2. What is n in d(n) = 0?
-1, 2/3, 1
Let d(j) be the third derivative of 2/105*j**7 - 10*j**2 + 0 + 0*j - 1/90*j**5 + 0*j**4 - 1/144*j**8 - 1/120*j**6 + 0*j**3. Determine i, given that d(i) = 0.
-2/7, 0, 1
Let c(a) be the third derivative of 1/24*a**6 + 0*a + 0 + a**2 - 5/3*a**3 - 5/24*a**4 + 1/6*a**5. Factor c(h).
5*(h - 1)*(h + 1)*(h + 2)
Solve 4/9 - 5/9*b**2 + 1/9*b = 0.
-4/5, 1
Let g(n) be the second derivative of 0 + 26*n + 7/10*n**6 + 5*n**4 + 1/14*n**7 + 27/10*n**5 + 0*n**2 + 4*n**3. Factor g(x).
3*x*(x + 1)*(x + 2)**3
Let u(i) be the first derivative of -i**4/34 - 16*i**3/51 - 21*i**2/17 - 36*i/17 + 125. Factor u(g).
-2*(g + 2)*(g + 3)**2/17
Let k(m) = 3*m**3 + m**2 - 10*m**2 + 3*m**2. Let p(a) = 3*a**3 - 6*a**2 - a. Let j(f) = 4*k(f) - 3*p(f). Factor j(z).
3*z*(z - 1)**2
Factor 2/3*a**2 - 2/3*a**4 + 0 + 2/3*a**3 - 2/3*a.
-2*a*(a - 1)**2*(a + 1)/3
Let i(f) = -6*f**3 + 26*f**2 - 44*f + 20. Let p(l) = -7*l**3 + 25*l**2 - 44*l + 20. Let t(q) = 3*i(q) - 2*p(q). Determine b, given that t(b) = 0.
1, 5
Factor 0 - 3/7*z**2 + 18/7*z.
-3*z*(z - 6)/7
Factor 177065 + 2*h**3 - 18*h - 16*h**2 - 177065.
2*h*(h - 9)*(h + 1)
Let b = 16841/546 + -185/6. Let c = b + 269/364. Solve 27/4 + c*y**2 - 9/2*y = 0 for y.
3
Let d(h) be the second derivative of -5*h**7/42 + 5*h**6/6 - 2*h**5 + 5*h**4/3 - 25*h. Suppose d(m) = 0. Calculate m.
0, 1, 2
What is y in -18*y - 10*y**2 - y**2 + 5 - 20*y + 2*y**2 - 6*y = 0?
-5, 1/9
Let x = 155 - 135. Factor 3*y - 4*y**3 + x*y**2 + 7*y + 16 - 42*y.
-4*(y - 2)**2*(y - 1)
Let v(r) = -5*r**3 - 68*r**2 - 304*r - 358. Let o(d) = 20*d**3 + 271*d**2 + 1218*d + 1431. Let j(c) = -2*o(c) - 9*v(c). Factor j(x).
5*(x + 2)*(x + 6)**2
Find p such that p**4 - 177*p**2 + 53 - 4*p - 56*p**3 + 25 + 6 + 152 = 0.
-2, 1, 59
Suppose -46 + 43 = -5*j - 3*z, j - z + 1 = 0. What is s in -2/7*s**2 + 2/7 + j*s = 0?
-1, 1
Let f(m) = -5*m + 9. Let t be f(1). Let l(k) be the first derivative of -6/25*k**5 + 0*k**t + 0*k**2 + 0*k**3 + 7/10*k**6 - 1 + 0*k. Factor l(w).
3*w**4*(7*w - 2)/5
Let c(h) be the first derivative of -h**7/280 - h**6/120 + h**5/8 - 3*h**4/8 - 22*h**3/3 + 48. Let n(x) be the third derivative of c(x). Factor n(j).
-3*(j - 1)**2*(j + 3)
Suppose -182*b + 189*b = 21. Let z(l) be the first derivative of 6/5*l**5 + 9/4*l**4 + 3/4*l**2 + 0*l + 1/4*l**6 + 2*l**b - 3. Factor z(n).
3*n*(n + 1)**4/2
Factor -2802 - i**2 + 114*i - 268*