- 75*a**2/2 + 8*a. Solve c(q) = 0.
-5, 1
Let b(p) be the third derivative of -5*p**8/672 - p**7/21 - 5*p**6/48 - p**5/12 - 16*p**2. Factor b(f).
-5*f**2*(f + 1)**2*(f + 2)/2
Let t = -94 - -670/7. Let c = t + -29/21. Suppose 0*b + c*b**2 - 1/3 = 0. What is b?
-1, 1
Let f = 26/27 + -8/9. Let y = 64/135 - f. Solve -y*i + 0 - 1/5*i**2 = 0.
-2, 0
Let l(b) = 10*b**2 - 3*b - b - b**3 - 10*b**2 - 5*b**2. Let t be l(-4). Suppose -2/5*r**2 + t - 2/5*r = 0. Calculate r.
-1, 0
Let k(c) = c**3 + 49*c**2 + 41*c - 334. Let l be k(-48). Factor 2/3 - 5/3*b + 1/3*b**5 - 4/3*b**4 + 2/3*b**l + 4/3*b**3.
(b - 2)*(b - 1)**3*(b + 1)/3
Determine u, given that -60*u - 22*u**3 + 47*u**2 + 5*u**3 + 7*u**2 + 24 + 3*u**4 - 4*u**3 = 0.
1, 2
Let u = -36 + 40. Let s(w) be the second derivative of -1/48*w**u + 2*w - 1/24*w**3 + 0*w**2 + 0. Find y, given that s(y) = 0.
-1, 0
What is n in -2/7*n + 6/7*n**3 + 0 + 4/7*n**4 + 0*n**2 = 0?
-1, 0, 1/2
Suppose 4/5 + 8/5*a**2 + 2/5*a**3 + 2*a = 0. Calculate a.
-2, -1
Let f(u) be the third derivative of -u**7/735 + u**6/42 - 17*u**5/210 + 2*u**4/21 - 19*u**2. Suppose f(i) = 0. What is i?
0, 1, 8
Suppose 3*c - 6*f + 4*f = 0, 2*c - 2*f = 0. Factor 1/2*m + c + 0*m**2 - 1/2*m**3.
-m*(m - 1)*(m + 1)/2
Let p be 0 + -2*(-3)/24. Let u be (-4)/18 - 10/(-45). Factor 0*q + u + 1/4*q**2 - p*q**3.
-q**2*(q - 1)/4
Let o(b) be the third derivative of -b**5/30 - 5*b**4/8 - 7*b**3/6 + 4*b**2. Let x be o(-7). Find q such that -8/5*q + x + 6/5*q**3 - 8/5*q**2 = 0.
-2/3, 0, 2
Let n(q) be the third derivative of q**6/900 - q**4/60 - q**3/2 + 5*q**2. Let a(f) be the first derivative of n(f). Factor a(k).
2*(k - 1)*(k + 1)/5
Let s = 1042/119 + -144/17. Factor -s*z**3 + 0*z**2 + 6/7*z + 4/7.
-2*(z - 2)*(z + 1)**2/7
Let y(t) be the third derivative of -t**6/90 - t**5/15 - t**4/6 - 7*t**3/6 - 4*t**2. Let q(o) be the first derivative of y(o). What is z in q(z) = 0?
-1
What is f in -f + 0 - 1/3*f**3 + 1/3*f**4 - 5/3*f**2 = 0?
-1, 0, 3
Let k be -1*39/6*-4. Let d = -76/3 + k. Suppose -8/3*i + 8/3 + d*i**2 = 0. What is i?
2
Let r(k) = 2 - 2*k**2 + 3*k**2 - 3*k - 5*k**2 - 7*k**2. Let w(m) = -32*m**2 - 9*m + 6. Let j(h) = -17*r(h) + 6*w(h). Let j(y) = 0. Calculate y.
-1, 2/5
Factor -31*c**2 - 8*c**2 - 21*c**5 - 69*c**4 + 0*c - 81*c**3 - 6*c.
-3*c*(c + 1)**3*(7*c + 2)
Let z = -1514/11 + 30599/220. Let o = 1/20 + z. Factor o*y**3 - 1 - 13/4*y**2 - 1/4*y**4 + 3*y.
-(y - 2)**2*(y - 1)**2/4
Let b = 1555/252 - 43/7. Let h(i) be the third derivative of b*i**5 - 1/180*i**6 + 0*i + 0*i**3 + 1/36*i**4 - 1/126*i**7 + 0 - 3*i**2. Factor h(t).
-t*(t - 1)*(t + 1)*(5*t + 2)/3
Let g(t) be the first derivative of t**6/240 - t**5/60 + 7*t**2/2 - 6. Let v(q) be the second derivative of g(q). Factor v(k).
k**2*(k - 2)/2
Let t(k) be the third derivative of 0*k + 3*k**2 + 0 + 0*k**3 - 1/270*k**5 + 1/108*k**4. Find i such that t(i) = 0.
0, 1
Let d be (2/(-3))/(1/(-3)). Suppose 0 = -3*u + 14 + 1. Find b such that -3*b**4 + b + 6*b**3 - 4*b**d + 0*b**u - b**4 + b**5 = 0.
0, 1
Let o be 75/42 + (-6)/4. Factor 6/7*p + 4/7*p**2 - 6/7*p**4 - 2/7*p**5 + o - 4/7*p**3.
-2*(p - 1)*(p + 1)**4/7
Factor 0 - 2/7*b**2 - 2*b.
-2*b*(b + 7)/7
Suppose 0 = 7*h - 3*h - 16. Suppose -2*t + 2 = -6. Find z, given that -2*z**t - 16*z**2 - 7*z**3 + 8*z + 17*z**3 + 0*z**h = 0.
0, 1, 2
Let i(k) = -k**2 + 8*k + 1. Let x be i(5). Factor x*h**3 + 2*h**4 - 25*h**5 + 3*h**4 + 0*h**4 + 0*h**4 + 4*h**2.
-h**2*(h - 1)*(5*h + 2)**2
Let k(o) be the second derivative of o**7/840 - o**6/240 + o**5/240 - 3*o**2/2 + o. Let i(n) be the first derivative of k(n). What is v in i(v) = 0?
0, 1
Let i(v) be the third derivative of v**7/42 - v**6/6 + 5*v**5/12 - 5*v**4/12 - 11*v**2. Suppose i(w) = 0. Calculate w.
0, 1, 2
Let t(a) be the second derivative of a**7/70 + a**6/10 + 3*a**5/10 + a**4/2 + a**3/2 + 3*a**2/10 - 8*a - 2. Solve t(v) = 0.
-1
Suppose -i - 3*i = -12. Factor 3*d + 8 - 9*d + i*d**2 - 5.
3*(d - 1)**2
Let a = -71 - -71. Let i(s) be the second derivative of 1/42*s**7 + a*s**3 - 1/12*s**4 - 1/20*s**5 + 1/30*s**6 + 0*s**2 + 0 + 3*s. Factor i(d).
d**2*(d - 1)*(d + 1)**2
Let a(w) be the third derivative of -1/20*w**5 + 0 + 0*w + 9*w**2 + 3/8*w**4 - w**3. Let a(p) = 0. What is p?
1, 2
What is k in -10/9*k - 8/9*k**2 - 4/9 - 2/9*k**3 = 0?
-2, -1
Factor 17/5*f**2 + 3*f**3 + 6/5*f + 0 + 4/5*f**4.
f*(f + 1)*(f + 2)*(4*f + 3)/5
Let v = 0 + 2. Let m = -2/135 - -92/135. Determine b, given that -2/3*b + 0 - m*b**v = 0.
-1, 0
Let i(o) = -o**4 - o**3 + o**2 + 1. Let j(q) = 2*q**4 - 2*q**2 + 3*q - 3. Let c(p) = -3*i(p) - j(p). Factor c(n).
n*(n - 1)*(n + 1)*(n + 3)
Factor -1/4*k**2 + 0 + 7/4*k.
-k*(k - 7)/4
Let u(l) be the second derivative of -l**5/10 - 13*l**4/6 - 23*l**3/3 - 11*l**2 + 34*l. Factor u(x).
-2*(x + 1)**2*(x + 11)
Let b(h) = -h**3 - 8*h**2 + 2. Let z be b(-8). Let 18*p + p**z + 0*p**2 - 17*p = 0. What is p?
-1, 0
Factor 0 - 2/3*b + 8/9*b**2.
2*b*(4*b - 3)/9
Let o = -1219/21 + 175/3. Factor -2/7*u**2 + 0*u + 0 + o*u**3.
2*u**2*(u - 1)/7
Let l = 5 + -15. Let o(x) = -2*x**4 + 12*x**3 + 2*x**2 - 12*x + 10. Let b(a) = a**3 - a + 1. Let m(p) = l*b(p) + o(p). Determine t so that m(t) = 0.
-1, 0, 1
Suppose -2 + 10 = r + 3*i, 2*r - i = 2. Determine f, given that 1/2 + 1/2*f**4 - 2*f + 3*f**r - 2*f**3 = 0.
1
Let m(f) be the third derivative of 2/15*f**3 + 0 + 0*f + 1/150*f**5 - 2*f**2 + 1/20*f**4. Factor m(i).
2*(i + 1)*(i + 2)/5
Suppose 2*h + 14 = 4*s, 5*s - 2*h + 0 = 18. Suppose -k + 3*k = s. Let 1/3*g**k - 1/3 + 0*g = 0. What is g?
-1, 1
Let i be (-2)/12*(-126)/(-513). Let p = i - -5/19. Find d, given that 0 + 0*d**4 - 4/9*d**3 + 0*d**2 + p*d**5 + 2/9*d = 0.
-1, 0, 1
Let f(w) be the second derivative of w**6/105 - w**5/70 - w**4/21 - 3*w. Solve f(l) = 0.
-1, 0, 2
Let r(n) be the first derivative of -1/6*n**4 + 0*n - 1/9*n**2 - 2/9*n**3 - 2/45*n**5 + 4. What is b in r(b) = 0?
-1, 0
Let l(o) be the second derivative of o**6/480 - o**5/120 - 2*o**2 + o. Let b(d) be the first derivative of l(d). Factor b(g).
g**2*(g - 2)/4
Let u(s) be the first derivative of s**4 - s**3 - s**2/2 + 10. Factor u(v).
v*(v - 1)*(4*v + 1)
Let z(d) be the third derivative of 0 - 1/45*d**5 + 0*d**6 + 1/504*d**8 - 1/36*d**4 - 2*d**2 + 0*d**3 + 2/315*d**7 + 0*d. Factor z(m).
2*m*(m - 1)*(m + 1)**3/3
Let a(c) be the first derivative of c**3/5 + 12. Factor a(x).
3*x**2/5
Let z(f) = -f**2 - 7*f - 3. Let j(b) = -8*b**2 - 62*b - 28. Let l(v) = -6*j(v) + 52*z(v). Solve l(h) = 0 for h.
-1, 3
Let j = 187/5 - 186/5. Factor 0*s - 1/5*s**2 + 0 - j*s**5 + 1/5*s**3 + 1/5*s**4.
-s**2*(s - 1)**2*(s + 1)/5
Let t be (-1 - -1)/(-10 + 8). Suppose 3*p = n + 2, 2*n + t = 2*p + 4. What is q in 2/11*q + 0 + 8/11*q**p = 0?
-1/4, 0
Let w(m) be the second derivative of m**5/8 - 35*m**4/24 + 16*m. Suppose w(f) = 0. What is f?
0, 7
Let t(m) = m**3 + 4*m**2 - 4*m + 5. Let f be t(-5). Factor f*y + 2/9*y**2 + 2/9*y**3 + 0.
2*y**2*(y + 1)/9
What is y in 13*y - 13*y + y**2 - 4*y**2 - 6*y**3 - 3*y**4 = 0?
-1, 0
Let b(p) be the second derivative of -3*p + 1/12*p**2 + 1/120*p**5 + 0 - 1/36*p**3 - 1/72*p**4. Factor b(y).
(y - 1)**2*(y + 1)/6
Let j(c) = 12*c**3 + c**2 - c - 1. Let h be j(-1). Let z(r) = -2*r**2 + 4*r + 2. Let g(a) = -5*a**2 + 12*a + 6. Let o(y) = h*z(y) + 4*g(y). Factor o(k).
2*(k + 1)**2
Let x(u) = -6*u**2 + 9*u + 9. Let g(t) = -3*t**2 + 4*t + 4. Let c(w) = 9*g(w) - 4*x(w). Factor c(l).
-3*l**2
Factor 2 - 4*v**2 - v + 9*v - 6.
-4*(v - 1)**2
Let l be (48/45)/2*9/12. Find i, given that 2/5*i + l*i**3 + 4/5*i**2 + 0 = 0.
-1, 0
Suppose 3*v - 2*k = 7, 0 = 4*v + 3*k - 2 - 30. Let b(y) be the second derivative of 0*y**3 - 3*y + 2/25*y**v + 0*y**2 - 1/75*y**6 + 0 - 2/15*y**4. Factor b(c).
-2*c**2*(c - 2)**2/5
Let s(b) be the first derivative of 1/6*b**3 - 5 + 1/8*b**4 - 1/4*b**2 - 1/2*b. Factor s(z).
(z - 1)*(z + 1)**2/2
Let y(o) be the first derivative of -3*o**4/8 + o**3/2 + 3*o**2/2 - 6. Factor y(s).
-3*s*(s - 2)*(s + 1)/2
Let m(s) be the first derivative of s**3/9 + s**2/2 + 2*s/3 + 6. Suppose m(f) = 0. What is f?
-2, -1
Let q(z) be the third derivative of -1/18*z**4 + 1/180*z**5 + 2/9*z**3 + z**2 + 0 + 0*z. Solve q(w) = 0 for w.
2
Let p(n) be the third derivative of 0*n - 1/12*n**4 + n**2 + 0 + 0*n**3 + 0*n**5 + 1/1260*n**7 + 0*n**6. Let l(f) be the second derivative of p(f). Factor l