ve of -s**8/504 - s**7/315 + s**6/180 + s**5/90 + 9*s**2 - 2*s. Factor z(x).
-2*x**2*(x - 1)*(x + 1)**2/3
Let n(x) be the first derivative of 1/21*x**3 + 11 + 0*x + 1/7*x**2. Let n(z) = 0. What is z?
-2, 0
Let p(k) be the third derivative of 0 + 0*k**4 + k**2 + 1/45*k**5 + 1/18*k**6 + 23*k + 0*k**3. Let p(d) = 0. What is d?
-1/5, 0
Suppose -34*o + 32*o = -688. Factor o*z**3 + 12 - 346*z**3 - 22*z**2 - 70*z - 62.
-2*(z + 1)*(z + 5)**2
Let i(t) be the second derivative of t**4/12 - 17*t**3/6 + 26*t**2 + 714*t. Suppose i(o) = 0. What is o?
4, 13
Let d = 849 + -847. Let i(f) be the second derivative of 13/30*f**5 - d*f - 1/15*f**6 + 11/9*f**3 - 19/18*f**4 + 0 - 2/3*f**2. Find m, given that i(m) = 0.
1/3, 1, 2
Let f(z) be the first derivative of 5*z**4/4 + 65*z**3 + 1995*z**2/2 + 1805*z + 129. Let f(m) = 0. What is m?
-19, -1
Let v be ((-3087)/(-105))/((-9)/(-6)). Factor 624/5*u**2 + 32/5 - 256/5*u + v*u**4 - 448/5*u**3.
2*(u - 2)**2*(7*u - 2)**2/5
Let a be -5 + (-98)/(-35) + 1*3. Let p(z) be the third derivative of -2*z**2 + 0*z + 0 + z**3 - 11/8*z**4 + a*z**5 - 7/40*z**6. Let p(o) = 0. What is o?
2/7, 1
Let z(c) be the second derivative of -1/54*c**4 + 0*c**2 - 32*c + 0 - 8/27*c**3. Factor z(s).
-2*s*(s + 8)/9
Let a = 163 - 160. Let i be ((-4)/(-8))/((-4)/(-12)). Determine b so that 3/2*b - i*b**2 + a = 0.
-1, 2
Let a(v) = v**5 + 2*v**4 + 8*v**2 + v + 6. Let j(u) = 2*u**5 + 4*u**4 - 2*u**3 + 17*u**2 + u + 11. Let r(o) = -11*a(o) + 6*j(o). Find i such that r(i) = 0.
-5, 0, 1
Let t(m) be the first derivative of -m**3/3 + 29*m**2/2 - 28*m - 511. Find b such that t(b) = 0.
1, 28
Factor -242/3 + 17/2*y**2 + 1/6*y**4 - 451/6*y + 19/6*y**3.
(y - 4)*(y + 1)*(y + 11)**2/6
Suppose 0 = -1054*t + 1056*t - 10. Let a(x) be the first derivative of 1/25*x**t + 1/10*x**4 + 0*x**2 - 7 + 0*x + 1/15*x**3. Solve a(g) = 0 for g.
-1, 0
Let i be 2 + (-7 - 78/(-13)) - (-1)/(-7). Let 4/7 - 2/7*s**4 + 2/7*s**3 + i*s**2 - 10/7*s = 0. Calculate s.
-2, 1
Let f = 8031/25 - 321. Let p = f + 72/325. Solve 2/13*l**4 - 6/13*l - 4/13 + 2/13*l**2 + p*l**3 = 0.
-2, -1, 1
Factor 2/7*w**3 - 26/7*w**2 - 22/7 + 46/7*w.
2*(w - 11)*(w - 1)**2/7
Let d(y) be the third derivative of 2*y**7/525 + y**6/150 - 4*y**5/75 - 2*y**4/15 + 140*y**2. Factor d(k).
4*k*(k - 2)*(k + 1)*(k + 2)/5
Let s(m) be the first derivative of m**5/100 - m**4/15 + 2*m**3/15 - 38*m + 37. Let u(z) be the first derivative of s(z). Determine f, given that u(f) = 0.
0, 2
Let y(i) = -2*i**2 - 4*i. Let t(m) = m - 7 + 0*m + 7. Let j(b) = 4*t(b) + 2*y(b). Factor j(p).
-4*p*(p + 1)
Let b be 1 + (-1 - (-5)/(-2)) - (-14 + 11). Find m, given that 0 + 1/4*m**4 + 0*m + 3/4*m**3 + b*m**2 = 0.
-2, -1, 0
Suppose -4*o = -6*o + 2*k, 0 = -3*o + k - 8. Let g be ((-3)/o)/((-60)/(-32)). Find x, given that 2*x**3 - 2*x + g - 8/5*x**4 + 6/5*x**2 = 0.
-1, 1/4, 1
Let s(t) be the second derivative of -t**5/10 - 5*t**4/3 - 23*t**3/3 - 14*t**2 + 280*t. Factor s(f).
-2*(f + 1)*(f + 2)*(f + 7)
Let f(o) = 10*o**2 - 1760*o + 77454. Let y(j) = -5*j**2 + 880*j - 38728. Let u(g) = -4*f(g) - 7*y(g). Suppose u(r) = 0. Calculate r.
88
Let o = -5826524/13 + 448526. Let q = 332 - o. Find l, given that 0*l + q*l**3 + 2/13*l**2 + 0 = 0.
-1, 0
Suppose -7*d = -22 + 8. Factor -8*z**d - 20*z - 2*z**2 + 38*z**2 - 8 + 0.
4*(z - 1)*(7*z + 2)
Solve -9*s - 6*s**2 - 3/2*s**4 + 15/2 + 9*s**3 = 0 for s.
-1, 1, 5
Let t be (-14)/(-24)*-1 - 112/(-168). Let n(w) be the first derivative of -t*w**3 - 1/2*w**2 - 10 + 0*w. Factor n(k).
-k*(k + 4)/4
Let g = 398/567 + -20/567. Factor -4/3*h - g*h**4 + 0*h**3 + 2*h**2 + 0.
-2*h*(h - 1)**2*(h + 2)/3
Suppose -c = -2*g - 2, 2*c - g - 2 = 4*g. Let s be (22 + 2)/c + (-28)/10. Factor -s*r**2 + 2/5*r**3 - 2/5*r + 2/5*r**4 + 4/5.
2*(r - 1)**2*(r + 1)*(r + 2)/5
Let b(y) be the third derivative of y**8/420 - y**7/210 - y**6/45 + y**3 + 7*y**2. Let p(m) be the first derivative of b(m). Factor p(h).
4*h**2*(h - 2)*(h + 1)
Solve -10/3 - 5/3*f**3 + 5*f + 0*f**2 = 0.
-2, 1
Let r be (86/10 - 9)/((-3)/15). Let -1/3*s**3 - 1/3*s**r + 0*s + 0 = 0. What is s?
-1, 0
Suppose -w = -8 + 2. Let r(g) = -3*g**2 + 4*g - 3. Let u(z) = 4*z**2 - 4*z + 4. Suppose 5*x = 21 + 4. Let m(l) = w*r(l) + x*u(l). Factor m(t).
2*(t + 1)**2
Let s(b) be the third derivative of 1/15*b**5 - 1/2*b**4 + 0*b + 33*b**2 + 0 - 8/3*b**3. Determine g, given that s(g) = 0.
-1, 4
Let i = 1155/2 + -2309/4. Find m, given that -75/2*m**2 - 125*m - 5*m**3 - i*m**4 - 625/4 = 0.
-5
Let p(w) = -w**2 + 3*w + 4. Let m be p(3). Let j = 1085 + -7563/7. Let 0 - 4/7*v - 20/7*v**2 - 16/7*v**m - j*v**3 = 0. Calculate v.
-1, -1/2, 0
Let g(h) be the first derivative of h**5/25 + 7*h**4/20 + 17*h**3/15 + 17*h**2/10 + 6*h/5 + 32. Let g(y) = 0. What is y?
-3, -2, -1
Let s(a) = -29*a + 28. Let f be s(-11). Find c, given that -8*c**3 - 4*c + f*c**2 - 12*c**3 - c - 322*c**2 = 0.
0, 1/4, 1
Let r(d) be the second derivative of -d**6/3060 - d**5/1020 + d**4/102 + 5*d**3/3 + d. Let x(i) be the second derivative of r(i). Suppose x(n) = 0. What is n?
-2, 1
Let m = 3217 + -3215. Factor 6/11 + 4/11*i - 2/11*i**m.
-2*(i - 3)*(i + 1)/11
Let z(f) be the first derivative of 10*f**6/3 + 15*f**5 + 20*f**4 + 5*f**3 - 5*f**2 + 80. What is k in z(k) = 0?
-2, -1, 0, 1/4
Let z(r) be the first derivative of r**4/14 + 14*r**3/3 + 267*r**2/7 + 774*r/7 + 241. Factor z(t).
2*(t + 3)**2*(t + 43)/7
Let b = -7520 + 7522. Factor -9/4*k**b - 43/4*k + 5/2.
-(k + 5)*(9*k - 2)/4
Let c(v) = -4*v**5 - v**4 - 14*v**3 - 9*v**2 + 45*v + 27. Let k(n) = n**5 + n**2 - n + 1. Let b(u) = c(u) + 5*k(u). Let b(i) = 0. What is i?
-2, -1, 2, 4
Factor -93*t**2 - 73*t - 305*t**3 + 306*t**3 - 21*t.
t*(t - 94)*(t + 1)
Let f be ((-128)/80)/(1/(-5)). Suppose 0 = 5*a - 3*a - f. Find y, given that -84*y**a - 7*y**5 + 3*y**4 - 24*y - 74*y**5 - 12 + 69*y**2 + 81*y**3 = 0.
-1, -1/3, 2/3
Suppose 3*p - 11 = -z, 3*p = -5*z - 4 - 1. Suppose 0 = -3*j + p*x + 5, 0 = -j - 5*x - 5. Determine f so that 0*f - 4/5*f**4 + j + 0*f**2 + 4/5*f**3 = 0.
0, 1
Let j(c) be the first derivative of -c**6/540 + c**5/60 - c**4/18 - 10*c**3/3 + 7. Let g(n) be the third derivative of j(n). Factor g(k).
-2*(k - 2)*(k - 1)/3
Let f(l) = -l**2 + 24*l - 23. Let z be f(23). Let -4*c**4 + 2*c**3 + z*c**2 + 2*c**5 - 4*c**3 + 2*c**2 + 2*c**2 = 0. Calculate c.
-1, 0, 1, 2
Suppose 316*f - 258*f - 174 = 0. What is h in -1/3*h**2 + 0*h + 1/3*h**4 + 0 + 0*h**f = 0?
-1, 0, 1
Let n(u) = 80*u - 1. Let s be n(1). Solve 16*k + 16 + 37*k**2 + 46*k**2 - s*k**2 = 0.
-2
Let n(c) be the third derivative of c**5/20 - 51*c**4/8 - 26*c**3 - 660*c**2. Factor n(h).
3*(h - 52)*(h + 1)
Let u(y) = y**3 + 5*y**2 - 3*y + 20. Let i be u(-6). What is d in 3*d**i + 12 + 5*d + d + 6*d = 0?
-2
Factor 37*y**4 + 4*y + 33*y**4 - 2*y**3 - 2*y**3 + 5 - 6*y**2 - 69*y**4.
(y - 5)*(y - 1)*(y + 1)**2
Suppose -x = -3, 267*d + 25 = 269*d + 5*x. Factor 5*k**d + 4/3*k**4 - k**3 + 0*k + 0 + 0*k**2.
k**3*(3*k - 1)*(5*k + 3)/3
Let o(y) be the second derivative of -2*y**2 + 0 - 1/6*y**4 + 6*y + y**3. Factor o(a).
-2*(a - 2)*(a - 1)
Let z(p) be the first derivative of -4*p**3/21 + 360*p**2/7 - 32400*p/7 - 69. Let z(j) = 0. Calculate j.
90
Let d(a) be the first derivative of -a**3/27 - 25*a**2/18 + 26*a/9 - 241. Factor d(f).
-(f - 1)*(f + 26)/9
Let b(c) = -c**2 + 13*c + 20. Let v be b(14). Let t be (-6)/(v/(12/(-4))). Factor -o**t + 5*o - o**2 + 3 - 3*o - 3.
-o*(o - 1)*(o + 2)
Let g(b) be the first derivative of -b**7/168 + b**6/40 - b**5/40 - b - 6. Let d(t) be the first derivative of g(t). Suppose d(r) = 0. Calculate r.
0, 1, 2
Let -5*m**4 + 2*m**4 + 28*m**3 - 3*m**4 - 10*m**4 - 32*m**2 + 32*m**3 - 12*m = 0. Calculate m.
-1/4, 0, 1, 3
Let i = 124 + -247/2. Let a(j) be the second derivative of -j + j**2 + i*j**3 + 0 + 1/12*j**4. Solve a(m) = 0.
-2, -1
Let d(x) be the first derivative of -x**7/42 - x**6/6 - x**5/4 + 5*x**4/6 + 10*x**3/3 - 15*x**2 - 37. Let z(m) be the second derivative of d(m). Factor z(b).
-5*(b - 1)*(b + 1)*(b + 2)**2
Let l(w) be the third derivative of 0*w + 3*w**2 + 0 - 1/270*w**5 - 1/54*w**4 - 1/27*w**3. Factor l(t).
-2*(t + 1)**2/9
Suppose 0 = -3*v + 8 + 1. Factor 2*j**3 - 8 - 4*j - 3*j**3 + 0*j**v + 5*j**3 + 8*j**2.
4*(j - 1)*(j + 1)*(j + 2)
Let j(p) be the first derivative of p**6/30 + p**5/20 - 4*p - 3. Let o(r) be the f