. Suppose m(c) = 0. What is c?
-1, 0
Let o(c) = 2*c**2 + 11*c - 10. Let k(q) = -q**2 + q - 1. Let n(l) = -12*k(l) - 4*o(l). Factor n(j).
4*(j - 13)*(j - 1)
Let b(z) be the second derivative of -z**6/6 - 7*z**5/4 - 55*z**4/12 - 25*z**3/6 + 3*z - 1. What is o in b(o) = 0?
-5, -1, 0
Let x = 585686/11 + -53192. Let s = -52 + x. Suppose 18/11*y**3 - 14/11*y**4 + 0 + 4/11*y**5 + s*y - 10/11*y**2 = 0. Calculate y.
0, 1/2, 1
Let g(r) be the first derivative of -r**7/735 + r**6/420 + r**5/105 - 3*r**2/2 - 1. Let w(o) be the second derivative of g(o). Solve w(s) = 0 for s.
-1, 0, 2
Let u(r) be the second derivative of -r**8/84 - 2*r**7/35 - r**6/15 - 4*r**2 + r + 22. Let q(h) be the first derivative of u(h). Find v, given that q(v) = 0.
-2, -1, 0
Let d(p) be the first derivative of 0*p + 5/24*p**4 - 35/18*p**3 + 0*p**2 - 10. Find f such that d(f) = 0.
0, 7
Let a(o) be the second derivative of -o**7/5460 + o**6/2340 + 5*o**3/2 - 2*o. Let b(c) be the second derivative of a(c). Factor b(i).
-2*i**2*(i - 1)/13
Let l(b) be the third derivative of 18*b**7/35 + 27*b**6/10 - 33*b**5/5 + 35*b**4/6 - 8*b**3/3 + 3*b**2 + 18. Determine o, given that l(o) = 0.
-4, 1/3
Suppose w + 4*w - 15 = 0, 3*n - 87 = -4*w. Suppose 3*q = 3*c - 15, 0 = q - 4*c - c + n. Solve -2/11*v**4 + q*v - 4/11*v**3 + 0 + 0*v**2 = 0 for v.
-2, 0
Let j(h) be the first derivative of -5/4*h**4 + 0*h - 5*h**3 + 24 - 5*h**2. Factor j(k).
-5*k*(k + 1)*(k + 2)
Find c such that 0 + 0*c**2 - 4/7*c + 1/7*c**3 = 0.
-2, 0, 2
Let m(x) be the second derivative of x**7/5670 + x**6/1620 - x**5/135 - 5*x**4/2 + 34*x. Let t(f) be the third derivative of m(f). Solve t(u) = 0.
-2, 1
Let x = -39 + 40. Let s be ((15/(-6) - -2)*0)/x. Factor 2/5*n**5 - 2/5*n + 4/5*n**2 - 4/5*n**4 + 0 + s*n**3.
2*n*(n - 1)**3*(n + 1)/5
Let c(s) = 5*s. Let w(n) = -n**2 - 11*n. Let u(j) = -10*c(j) - 2*w(j). Factor u(g).
2*g*(g - 14)
Let p(v) = -90*v - 270. Let b be p(-3). What is z in 0 - 1/3*z**4 + z**2 - 2/3*z + b*z**3 = 0?
-2, 0, 1
Let a = -719/15 - -243/5. What is y in -a*y + 2/9*y**3 + 0*y**2 + 4/9 = 0?
-2, 1
Let o(n) = -31*n**4 - 101*n**3 + 204*n**2 - 58*n. Let r(c) = -10*c**4 - 34*c**3 + 68*c**2 - 20*c. Let s(j) = -2*o(j) + 7*r(j). Let s(v) = 0. What is v?
-6, 0, 1/2, 1
Let l(o) be the first derivative of 2*o**5/5 - 18*o**4 + 572*o**3/3 + 684*o**2 + 722*o - 507. Factor l(y).
2*(y - 19)**2*(y + 1)**2
Let o(t) be the first derivative of -3*t**4/4 - 6*t**3 + 189*t**2/2 - 324*t + 32. Solve o(j) = 0.
-12, 3
Let u(k) be the first derivative of 2*k**3/21 - 3*k**2/7 + 4*k/7 + 276. Find n, given that u(n) = 0.
1, 2
Factor -3*i - 3/4*i**2 - 9/4.
-3*(i + 1)*(i + 3)/4
Let g(j) be the third derivative of j**6/360 + j**5/6 + 91*j**4/24 + 338*j**3/9 + 10*j**2. Factor g(d).
(d + 4)*(d + 13)**2/3
What is r in -26/3*r**2 - 2 - 22/3*r - 10/3*r**3 = 0?
-1, -3/5
Let o(a) = a**5 + a**3 + a**2 - 1. Let i(b) = b**5 + 13*b**4 - 18*b**3 + 22*b**2 - 7*b - 3. Let r(g) = i(g) - 4*o(g). Factor r(v).
-(v - 1)**4*(3*v - 1)
Let x(z) be the second derivative of 16*z**6/165 + 4*z**5/55 - 23*z**4/66 - 2*z**3/11 + 9*z**2/11 + 138*z. Factor x(j).
2*(j + 1)**2*(4*j - 3)**2/11
Let a(t) be the third derivative of -t**7/1050 + t**6/50 - t**5/75 - 8*t**4/5 - 128*t**3/15 + 7*t**2 + 4. Factor a(k).
-(k - 8)**2*(k + 2)**2/5
Suppose 3*o + 42 = 5*o - 3*g, 2*o - 50 = -g. Let f be 2/9*(-252)/o + 3. Factor -1/3*r**3 + 1/3*r - 2/3*r**2 + f.
-(r - 1)*(r + 1)*(r + 2)/3
Let h(f) = 5*f + 5. Let g be h(0). Suppose -30 = -g*d - 20. Factor 0*j - 8/7*j**d + 8/7*j**3 - 2/7*j**4 + 0.
-2*j**2*(j - 2)**2/7
Factor -5*y**4 + 329*y + 15*y**3 - 309*y - 45*y**2 + 15*y**3.
-5*y*(y - 4)*(y - 1)**2
Factor -9*h**2 + 179*h - 3*h**3 + 793 - 796 - 188*h.
-3*(h + 1)**3
Let o(l) = -2*l + 2. Let v(m) = 5*m**4 - m + 3 - m**2 - 4*m**4 - 2*m + 0*m**4. Let i(d) = 3*o(d) - 2*v(d). Factor i(f).
-2*f**2*(f - 1)*(f + 1)
Let y(l) be the third derivative of -l**6/900 - l**5/150 - 8*l**3 - 49*l**2. Let i(w) be the first derivative of y(w). Factor i(s).
-2*s*(s + 2)/5
Let b(j) be the third derivative of -j**6/180 - j**5/210 - 4*j**3/3 - 4*j**2. Let m(f) be the first derivative of b(f). Factor m(q).
-2*q*(7*q + 2)/7
Let q(c) be the first derivative of -2*c**3/21 - c**2 - 24*c/7 - 321. What is a in q(a) = 0?
-4, -3
Factor 8*z**3 + 39*z**4 - 10*z**5 - 3*z**3 - 19*z**4 - 15*z**4.
-5*z**3*(z - 1)*(2*z + 1)
Let n be (0 - 1/21)*(-29 - -23). Factor n*h**3 + 8/7*h**2 + 10/7*h + 4/7.
2*(h + 1)**2*(h + 2)/7
Let l(w) be the first derivative of -4/9*w**3 - 2/3*w**2 - 3*w - 2 + 5/36*w**4. Let k(q) be the first derivative of l(q). Let k(i) = 0. Calculate i.
-2/5, 2
Let h(z) = -24*z**3 - 5*z**2 + 4. Let u(b) = 23*b**3 + 5*b**2 - 3. Let n(f) = 3*h(f) + 4*u(f). Factor n(m).
5*m**2*(4*m + 1)
Suppose 3*c - 3 = 24*d - 25*d, 5*d - 75 = -3*c. Let u be 1*((-4)/d + (-2)/(-9)). Let u + 6/5*z - 9/5*z**3 + 3/5*z**2 = 0. Calculate z.
-2/3, 0, 1
Suppose 1 = -2*r - 2*g - 1, 3*r - 5 = -g. Suppose -6/5*u**2 - 6/5*u**r - 2/5*u**4 + 0 - 2/5*u = 0. Calculate u.
-1, 0
Let n = -163 - -161. Let m be (3 + 520/(-168))/(n/6). Factor 2/7*b**3 + 0*b**4 + 0*b + 0 - m*b**5 + 0*b**2.
-2*b**3*(b - 1)*(b + 1)/7
Let b(l) = -2*l**5 + 8*l**4 + 5*l**3 + 11*l**2. Let n(z) = -z**3 - z**2. Let k(r) = 2*b(r) + 22*n(r). Factor k(s).
-4*s**3*(s - 3)*(s - 1)
Determine v, given that 18*v**4 - 14*v**3 - 2*v**5 + 78*v**2 + 16*v + 46*v**2 - 142*v**2 = 0.
-1, 0, 1, 8
Let b = 3766 + -3766. Find d such that b + 1/8*d - 1/8*d**2 = 0.
0, 1
Let z(b) be the second derivative of -b**7/189 + 11*b**5/45 + 10*b**4/27 - 7*b**3/9 - 20*b**2/9 + 140*b - 2. Determine v, given that z(v) = 0.
-4, -1, 1, 5
Let s(p) be the third derivative of -p**7/210 + p**6/24 - p**5/10 - 104*p**2. Factor s(q).
-q**2*(q - 3)*(q - 2)
Factor 0 + 0*u - 72/7*u**2 - 30/7*u**3 + 3/7*u**4.
3*u**2*(u - 12)*(u + 2)/7
Let v(o) be the first derivative of 3/5*o**5 - 3*o**3 + 1/4*o**4 - 9/2*o**2 - 2*o + 2. Determine w so that v(w) = 0.
-1, -1/3, 2
Let a(o) = o**4 + 2*o**3 - 1. Let g(h) = 3*h**4 - 12*h**3 - 64*h**2 - 56*h - 5. Let y(m) = 5*a(m) - g(m). Factor y(x).
2*x*(x + 2)**2*(x + 7)
Let f(z) be the first derivative of z**5/40 - z**4/6 + z**3/3 + 16*z - 17. Let q(a) be the first derivative of f(a). Solve q(t) = 0.
0, 2
Let h(g) = -7*g**3 + 23*g**2 - 22*g. Let s(d) = 15*d**3 - 48*d**2 + 45*d. Let t(f) = -9*h(f) - 4*s(f). Find l such that t(l) = 0.
0, 2, 3
Suppose -164/5*m**3 + 14/5*m**5 + 48*m + 8/5*m**2 + 64/5 + 18/5*m**4 = 0. Calculate m.
-4, -1, -2/7, 2
Let v(q) = -7*q**2 - 23*q + 26. Let p(s) = -13*s**2 - 45*s + 54. Let f(w) = -6*p(w) + 11*v(w). Factor f(b).
(b - 2)*(b + 19)
Let u(p) = p + 11. Let j be u(-7). Factor 8*c**3 - 12*c**2 - 24*c**3 - 4*c - 4*c**j - 3*c**3 + 7*c**3.
-4*c*(c + 1)**3
What is n in -43*n - 49*n + 28*n + 4*n**2 = 0?
0, 16
Let k(m) be the second derivative of 3*m**2 + 1 - 1/3*m**3 - 7/8*m**4 + 3*m - 1/20*m**5 + 1/20*m**6. Let k(i) = 0. What is i?
-2, -1, 2/3, 3
Let t(j) be the second derivative of 0*j**3 + 21*j + 0*j**2 - 5/42*j**7 + 0*j**5 - 1/6*j**6 + 0*j**4 + 0. Factor t(u).
-5*u**4*(u + 1)
Let w(g) = -g**2 - g + 1. Let f(y) = 4*y**3 + 8*y**2 - 8. Let l(z) = f(z) + 4*w(z). Solve l(t) = 0.
-1, 1
Let d(a) be the second derivative of -54*a + 0*a**2 - 8/15*a**3 + 3/25*a**5 + 0*a**4 + 0 + 2/75*a**6. Suppose d(k) = 0. What is k?
-2, 0, 1
Let h be 135/(-18)*(3 - 44/12). Let g(l) be the second derivative of -1/110*l**h - 5*l + 0*l**4 + 0 + 0*l**2 + 0*l**3 - 1/165*l**6. Factor g(w).
-2*w**3*(w + 1)/11
Let i(r) be the third derivative of -27*r**2 + 0 - 7/40*r**4 - 1/100*r**5 - 3/5*r**3 + 0*r. Factor i(h).
-3*(h + 1)*(h + 6)/5
Determine s so that -26 - 49 - 36*s + 15 - 3*s**2 = 0.
-10, -2
Let y(b) = -b**2 + 6. Let z be y(0). Factor -2*u - 9*u**4 - 6 + z*u**2 - 7*u + 3*u**5 + 9 + 6*u**3.
3*(u - 1)**4*(u + 1)
Let q be (250/170 - 1)*((-30)/8 - -4). What is j in q*j**2 + 18/17 + 20/17*j = 0?
-9, -1
Let h = 153/70 - -31/14. Factor -9/5*q + 8/5*q**4 + 0 - 1/5*q**5 + 24/5*q**2 - h*q**3.
-q*(q - 3)**2*(q - 1)**2/5
Let u(i) be the second derivative of -i**5/48 + 5*i**4/48 + 5*i**3/8 + 5*i**2 - i. Let x(y) be the first derivative of u(y). Factor x(q).
-5*(q - 3)*(q + 1)/4
Let z(x) be the second derivative of 27*x**5/70 + 208*x**4/7 + 4853*x**3/7 + 3174*x**2/7 + 646*x. Factor z(b).
6*(b + 23)**2*(9*b + 2)/7
Let b(z)