2*(i - 215)**2*(i + 1)/5
Suppose 4*y - 50 = y - 2*c, 10 = -5*c. Let i(g) be the third derivative of -1/60*g**6 + 1/10*g**5 + 0*g - 3/16*g**4 + 1/6*g**3 + y*g**2 + 0. Factor i(a).
-(a - 2)*(2*a - 1)**2/2
Suppose 0 = -3*d + 5*m + 35, -1 = -0*d + 3*d + 4*m. Let o(g) = g**2 - 2*g - 12. Let l be o(d). Find t such that 2*t**2 + t**4 + 8*t**l - 8*t**4 - 3*t**2 = 0.
0, 1/7, 1
Let f(y) be the first derivative of y**4/20 + 47*y**3/15 + 68*y**2 + 560*y + 10411. Factor f(t).
(t + 7)*(t + 20)**2/5
Solve -517*f**2 - 43*f - 118*f**3 - 149*f - 20*f + 30*f**4 + 180 - 12*f - 35*f**4 = 0.
-18, -5, -1, 2/5
Let x = 6149 + -6142. Let f(s) be the second derivative of 0*s**2 + 0*s**3 + 1/24*s**5 + 28*s - 1/36*s**4 + 1/252*s**x - 1/45*s**6 + 0. Let f(i) = 0. What is i?
0, 1, 2
Let p(a) be the first derivative of -25*a**4/4 + 360*a**3 + 3465*a**2/2 + 1456. Factor p(l).
-5*l*(l + 3)*(5*l - 231)
Let r = -62067/20 + 3104. Let v(q) be the second derivative of r*q**5 + 1/3*q**4 - 2/3*q**3 + 0 + 1/6*q**6 + 28*q + 0*q**2. Factor v(u).
u*(u + 1)*(u + 2)*(5*u - 2)
Let l = -3087 - -5654. Find m such that 16*m**2 - 2516*m**3 + 63*m**4 - 27*m - 115*m**2 + l*m**3 + 12*m**5 = 0.
-3, -1/4, 0, 1
Let b(r) be the first derivative of 39 + 1/14*r**2 - 35*r + 0*r**3 - 1/84*r**4. Let f(n) be the first derivative of b(n). Factor f(y).
-(y - 1)*(y + 1)/7
Let r be (-1)/(-3)*((-40)/(-2) + 642/(-33)). What is h in 18/11*h**2 + r*h**3 - 42/11*h + 2 = 0?
-11, 1
Let d(z) be the first derivative of 34 - 13*z**2 - 1/48*z**4 + 0*z + 0*z**3 + 1/240*z**6 + 0*z**5. Let b(f) be the second derivative of d(f). Solve b(i) = 0.
-1, 0, 1
Let j = 3247/1130 - -571/226. Let -42/5 - j*d - 3/5*d**2 = 0. What is d?
-7, -2
Let b(w) be the first derivative of -w**5/25 + 79*w**4/4 + 6079. Factor b(s).
-s**3*(s - 395)/5
Factor 226*h + 0 + 2/3*h**2.
2*h*(h + 339)/3
Let y(i) be the third derivative of -i**8/840 - i**7/175 + 3*i**6/100 - i**5/30 - 691*i**2. Factor y(d).
-2*d**2*(d - 1)**2*(d + 5)/5
Let a be ((-2)/(-15))/((-13)/1170*5)*-5. Let k(v) = v**3 + 9*v**2 + 8*v + 2. Let h be k(-8). Let a*r**3 - 16/5*r + 16/5*r**h + 0 = 0. Calculate r.
-2/3, 0, 2/5
Let s be 2/15 - ((-1956)/(-150))/(36/(-30)). Let v(m) be the second derivative of -1/42*m**3 - s*m + 0 + 0*m**2 - 1/84*m**4. Let v(o) = 0. What is o?
-1, 0
Suppose -11/9*c**5 + 17/3*c**3 + 0 - 76/9*c**2 + 4/3*c + 8/3*c**4 = 0. What is c?
-2, 0, 2/11, 1, 3
Let r(t) be the first derivative of -t**4/10 - 2*t**3/5 + t**2/5 + 6*t/5 - 5594. Let r(m) = 0. Calculate m.
-3, -1, 1
Suppose -i = -3*y + 1, -11*y = -8*y - 4*i + 14. Factor -810*n**4 + 875*n**3 - 6 + 75*n - 31*n**3 + 243*n**5 - 360*n**y - 34*n**3.
3*(n - 2)*(3*n - 1)**4
Let s = 6199/141 - 11129/282. Find z, given that 0 - s*z - 3/2*z**3 - 6*z**2 = 0.
-3, -1, 0
Let w(o) be the second derivative of 0 - 3/2*o**2 - 2*o**3 - 98*o - 3/2*o**4 - 3/5*o**5 - 1/10*o**6. Factor w(h).
-3*(h + 1)**4
What is i in -3 + 594*i + 3 - 2375*i**2 + 4754*i**2 - 2376*i**2 = 0?
-198, 0
Suppose 5*o + 8 = 113. Suppose 3*y + 0 = -3*k + o, -3*k - 2*y + 17 = 0. Factor -3*q - q**4 - q**5 + 2*q**k - 1 - q + 2*q**2 + 0*q**4 + 3*q.
-(q - 1)**2*(q + 1)**3
Let i(o) be the third derivative of o**6/40 - 28*o**5/5 - 113*o**4/8 + 4414*o**2. Solve i(p) = 0 for p.
-1, 0, 113
Let r(y) be the third derivative of -y**7/210 - 5*y**6/24 - 67*y**5/30 - 16*y**4/3 + 48*y**3 + 816*y**2. Let r(t) = 0. Calculate t.
-18, -4, 1
Let l = -47978 - -863617/18. Let x(b) be the second derivative of 2/9*b**4 - 53*b - 1/60*b**5 - l*b**3 + b**2 + 0. Factor x(a).
-(a - 6)*(a - 1)**2/3
Factor 42 + 26*a - 2/9*a**3 + 10/3*a**2.
-2*(a - 21)*(a + 3)**2/9
Let z(w) be the second derivative of 2*w**5 + 80/3*w**3 + 0 - 171*w - 40*w**2 - 1/6*w**6 - 10*w**4. Factor z(s).
-5*(s - 2)**4
Suppose 0 = 2*y - 3*n + 37, -n + 47 = -4*y - 4*n. Let i = y - -34. Factor 13*s**2 - 20 - 34*s**2 + i*s + 16*s**2 + 5.
-5*(s - 3)*(s - 1)
Let q = 6964946/19 + -366576. Determine i so that -62/19*i**2 + 0*i - q*i**3 + 0 = 0.
-31, 0
Let g(d) = -665*d - 27928. Let c be g(-42). Factor -1 + 2*m - 5/4*m**c + 1/4*m**3.
(m - 2)**2*(m - 1)/4
Let y(z) be the second derivative of -z**4/8 - 10*z**3 + 207*z**2 + 2914*z. Factor y(a).
-3*(a - 6)*(a + 46)/2
Let k = -16346 + 16351. Let s(o) be the first derivative of 19 - 5*o**4 + 12/5*o**k + 0*o - 16/3*o**3 + 8*o**2. What is u in s(u) = 0?
-1, 0, 2/3, 2
Let u(n) = -398*n + 1992. Let v be u(5). Let q(i) be the first derivative of -9/2*i**v - 6*i + 27 + 2*i**3. Find m, given that q(m) = 0.
-1/2, 2
Let a(i) = 9 + i + 0*i + 11 - 19. Let m(l) be the second derivative of -l**5/20 - l**4/3 - 13*l**3/6 - 5*l**2 - 47*l. Let w(r) = -40*a(r) - 5*m(r). Factor w(j).
5*(j + 1)**2*(j + 2)
Let b = 47 - 113. Let t = b - -77. Solve -2*a + t*a**2 + 5*a**3 + 9*a**2 + 22*a = 0 for a.
-2, 0
Let d be ((-57)/42 - -1)*(-469 - -461). What is x in 0 + 22/7*x**3 + d*x**2 + 4/7*x**4 - 16/7*x = 0?
-4, -2, 0, 1/2
Let k = 2375950/222747 + 6/74249. Determine z so that 56/3*z - k + 13/6*z**3 - 1/6*z**4 - 10*z**2 = 0.
1, 4
Let q = 123686 - 123686. Factor q*s**2 - 1/3*s**3 + 0 - 3*s**5 - 2*s**4 + 0*s.
-s**3*(3*s + 1)**2/3
Suppose -30*d + 1 = -u - 34*d, -7*u - d = -20. Let m(f) be the first derivative of 0*f - 8/15*f**5 - 10 + 0*f**2 + 2/3*f**6 - 1/3*f**4 + 0*f**u. Factor m(l).
4*l**3*(l - 1)*(3*l + 1)/3
Let x(i) = -i**3 + 43*i**2 + 140*i - 32. Let q be x(46). What is w in 27*w**2 + 4*w + 36 + 10*w + 31*w**2 - q*w**2 = 0?
-2, 9
Let h(t) be the second derivative of t**5/20 + t**4/2 + 2*t**3 - 47*t**2 - 54*t - 2. Let b(z) be the first derivative of h(z). Let b(n) = 0. What is n?
-2
Let d(s) be the third derivative of -s**8/336 - 13*s**7/210 + s**6/10 + 7*s**5/3 - 26*s**4/3 - 8538*s**2. Factor d(v).
-v*(v - 2)**2*(v + 4)*(v + 13)
Let -85 - 5*l**5 - 86*l**4 + 20*l**2 + 150*l**2 + 91*l**4 + 10*l**3 - 90*l**4 - 5*l = 0. What is l?
-17, -1, 1
Let h(t) = 2*t**3 + 154*t**2 + 600*t - 16928. Let a(v) = -5*v**3 - 463*v**2 - 1778*v + 50784. Let n(j) = -2*a(j) - 7*h(j). Factor n(b).
-4*(b - 8)*(b + 23)**2
Let j(u) be the second derivative of 1/15*u**6 - 36*u**2 - 3/5*u**5 - 6 + 5/6*u**4 + 8*u**3 - 2*u. Let j(b) = 0. What is b?
-2, 2, 3
Let c(s) be the first derivative of 0*s - 5/4*s**4 - 127 + 10/3*s**3 + 15/2*s**2. Suppose c(w) = 0. What is w?
-1, 0, 3
Let u(p) be the second derivative of -2*p**6/15 - 14*p**5/5 + 17*p**4 - 8*p**3/3 - 136*p**2 - 852*p. Solve u(v) = 0 for v.
-17, -1, 2
Let p(t) be the second derivative of -t**5/5 - 8*t**4/3 + 40*t**3/3 + 861*t. Factor p(x).
-4*x*(x - 2)*(x + 10)
Let u(h) be the second derivative of h**7/84 - 19*h**6/60 + 69*h**5/20 - 235*h**4/12 + 725*h**3/12 - 375*h**2/4 + 4471*h. Let u(f) = 0. What is f?
1, 3, 5
Let i(w) be the first derivative of 0*w**3 + 0*w - 3/4*w**4 - 3/5*w**5 - 57 + 0*w**2. Suppose i(n) = 0. Calculate n.
-1, 0
Suppose -32 = -4*w + 4*z, w - 44 = -4*w + z. Suppose 3*i - w = m, 4*i - 9 - 3 = 4*m. Determine s, given that 0*s**2 + 2/3*s - 2/3*s**i + 0 = 0.
-1, 0, 1
Let x(k) be the first derivative of 3*k**4/4 - 8*k**3 - 210*k**2 + 3600*k + 973. Let x(h) = 0. What is h?
-12, 10
Let n be ((-22)/88)/(14/(-896)*4). Factor 3/2*i**5 + 21/2*i**n + 39/2*i**2 + 45/2*i**3 + 0 + 6*i.
3*i*(i + 1)**3*(i + 4)/2
Let u(i) be the first derivative of -i**3/6 - 125*i**2/2 + 251*i/2 + 1391. Suppose u(t) = 0. What is t?
-251, 1
Let y(u) be the first derivative of -u**9/9072 - u**8/5040 + u**7/2520 + u**6/1080 + 14*u**3 + u**2 - 58. Let t(i) be the third derivative of y(i). Factor t(j).
-j**2*(j - 1)*(j + 1)**2/3
Let l(o) be the second derivative of 2*o + 11 + 392*o**2 + 1/3*o**4 + 56/3*o**3. Let l(c) = 0. Calculate c.
-14
Let v be 1/5 + 0 - (-355)/(-25). Let n be 208/364 - 20/v. Factor 4/3 - n*q + 2/3*q**2.
2*(q - 2)*(q - 1)/3
Let d = -141 - -122. Let y(p) = 3*p + 60. Let b be y(d). Let -3/7*s**5 + 6/7*s**2 - 1/7*s - 4/7*s**4 + 4/7*s**b - 2/7 = 0. Calculate s.
-1, 2/3, 1
Let y be (-24)/(-40)*(-18)/(-216). Let k(s) be the third derivative of 0 + 0*s**3 - 3/8*s**4 - y*s**5 + 0*s + 8*s**2. Suppose k(c) = 0. Calculate c.
-3, 0
Let o be 5 - (-48)/(-30)*(10/(-12))/(57/(-114)). Factor o - 5/6*l - 1/6*l**2.
-(l - 2)*(l + 7)/6
Let p(n) be the second derivative of 1550*n**3 + 5105/12*n**4 + 31/2*n**5 + 2250*n**2 + 1/6*n**6 - 4 - 6*n. Solve p(t) = 0.
-30, -1
Let n(a) be the second derivative of -a**4/48 + 