p - 10 + 5*p**2 + 34*p = 0. Calculate p.
-10, -1
Let v(q) = 85*q**3 + 720*q**2 + 2085*q + 25. Let b(n) = 7*n**3 + 60*n**2 + 174*n + 2. Let w(d) = 25*b(d) - 2*v(d). Factor w(a).
5*a*(a + 6)**2
Let a(b) = -b**3 + 26*b**2 + 55*b + 33. Let c be a(28). Let z = -58 - -132. Factor -z*u**3 - 16*u**2 + 258*u**3 - 221*u**4 + 810*u**c - 463*u**4.
2*u**2*(5*u - 2)*(9*u - 2)**2
Find v such that -10*v**3 + 11*v**4 - 258*v**2 + 246*v**2 - 9*v**4 = 0.
-1, 0, 6
Let p(q) be the second derivative of -q**4/18 + 8*q**3/3 - 48*q**2 + 19*q + 2. Find m such that p(m) = 0.
12
Suppose -g = 4*a + 6, 15 = -3*g + 8*g + 5*a. Factor 19*p**3 + 118*p**2 + 39*p**3 + 192*p + g*p**4 + 64 + 62*p**2.
2*(p + 1)*(p + 4)**2*(3*p + 2)
Let y be (-8 - -10)*(-2)/(-14). Let q be (-32)/(-63) + 3*(-6)/81. Find d, given that 4/7*d**3 - y + 4/7*d**2 - q*d - 2/7*d**5 - 2/7*d**4 = 0.
-1, 1
Let l be (3 - ((-16)/(-6) + 1))*3. Let j be l + (-340)/(-22) + -4. What is y in 8/11 + 338/11*y**2 - j*y = 0?
2/13
Let q(i) be the first derivative of i**7/14 + i**6/5 + 4*i + 14. Let s(u) be the first derivative of q(u). Find w such that s(w) = 0.
-2, 0
Let z = 30482/3 - 30478/3. Factor z*b - 2/3*b**3 + 0 - 2/3*b**2.
-2*b*(b - 1)*(b + 2)/3
Suppose -2*k + 13 = 5*q, -q - 4 = -5*k + 15. Factor -k*y**3 + 4*y**3 - 4*y**3 - 16*y**2.
-4*y**2*(y + 4)
Let n(o) be the second derivative of 4*o**2 + 1/6*o**4 - 4/3*o**3 + 0 + 25*o. Factor n(t).
2*(t - 2)**2
Let v(p) be the third derivative of -12*p**5/5 - 3*p**4/8 + p**3 - 8*p**2. Let i(w) = -431*w**2 - 26*w + 19. Let x(l) = -4*i(l) + 11*v(l). Factor x(a).
5*(4*a - 1)*(7*a + 2)
Let x(s) be the first derivative of -s**5 - 15*s**4/4 + 65*s**3/3 + 255*s**2/2 + 180*s + 173. Let x(p) = 0. What is p?
-3, -1, 4
Let f(a) = -a - 9. Let i(d) = d - 3. Let h be i(-8). Let q be f(h). Factor l**2 - l**4 + l**3 + 0*l**2 - q*l**2 + l**3.
-l**2*(l - 1)**2
Let a(g) be the second derivative of g**5/90 - 34*g**4/9 + 4624*g**3/9 - 314432*g**2/9 + 157*g. Let a(h) = 0. What is h?
68
Let t = 254 + -761/3. Let d(j) be the first derivative of -t*j**3 - 4 - j**2 - j. Factor d(s).
-(s + 1)**2
Factor 4*z**4 - 18*z - 9*z + 24*z**2 - 27 + 15*z - 6*z - z**4 + 18*z**3.
3*(z - 1)*(z + 1)*(z + 3)**2
Factor 3/4*m**3 - 9*m + 0 + 3/4*m**2.
3*m*(m - 3)*(m + 4)/4
Let x be 470/282 - (-4)/3. What is l in 0 + 8/3*l**2 - 5/3*l**x + 4/3*l = 0?
-2/5, 0, 2
Let l = 398 + -4775/12. Let w(t) be the third derivative of 0*t**3 + l*t**4 + 0*t - 4/105*t**7 + 1/168*t**8 + 4*t**2 + 1/10*t**6 + 0 - 2/15*t**5. Factor w(o).
2*o*(o - 1)**4
Let i(v) = -v**2 + 14*v + 15. Let s be i(14). Suppose s + 15*w**2 - 15 - 24*w - 19*w**2 = 0. Calculate w.
-6, 0
Let h(m) be the third derivative of -m**7/14 + 2*m**6/5 + m**5/4 - 2*m**4 + 469*m**2. Solve h(n) = 0.
-1, 0, 1, 16/5
Let u(h) be the first derivative of -45*h**2 - 24*h - 1 - 25*h**3 - 2 - 3*h. Factor u(m).
-3*(5*m + 3)**2
Let y(h) = h**2 + h - 1. Let m(r) = 7*r**2 - 18*r + 18. Let w = 57 + -58. Let q(l) = w*m(l) + 2*y(l). Find f, given that q(f) = 0.
2
Determine j, given that -31*j - 18*j + 38 - 4*j + 4*j**2 - 11*j + 74 = 0.
2, 14
Let a(u) be the second derivative of u**4/3 - 14*u**3/3 + 24*u**2 - 251*u. Factor a(y).
4*(y - 4)*(y - 3)
Let x = 43/126 + -1/126. Let t(m) be the second derivative of 0*m**2 - x*m**3 + 1/12*m**4 + 3/20*m**5 - 1/30*m**6 + 0 - 9*m - 1/42*m**7. Factor t(b).
-b*(b - 1)**2*(b + 1)*(b + 2)
Let r = -29223960/264299 - -6/37757. Let g = r - -111. Factor 6/7*s + 3/7*s**2 + g.
3*(s + 1)**2/7
Let u(h) be the first derivative of h**7/2100 - h**5/300 + 10*h**3/3 - 2. Let o(p) be the third derivative of u(p). Factor o(x).
2*x*(x - 1)*(x + 1)/5
Let t(i) be the third derivative of i**6/40 + i**5/20 - i**4/2 - 2*i**3 + i**2 + 1. Determine m, given that t(m) = 0.
-2, -1, 2
Let w(i) = i**3 - 3*i**2 + 3*i - 5. Let z be w(3). Suppose -39*y - z = -40*y. Determine a, given that 0 - 2/7*a**5 + 0*a**3 + 0*a**y + 0*a + 0*a**2 = 0.
0
Factor -224/11*p**2 + 2/11*p**5 + 128/11*p - 26/11*p**4 + 120/11*p**3 + 0.
2*p*(p - 4)**3*(p - 1)/11
Let d(y) be the third derivative of -27*y**2 + 0*y**3 - 1/12*y**5 + 0*y + 1/24*y**6 + 0 - 5/12*y**4. Factor d(a).
5*a*(a - 2)*(a + 1)
Let 0 - 7/3*c**4 - 2*c - 17/3*c**3 - 17/3*c**2 - 1/3*c**5 = 0. What is c?
-3, -2, -1, 0
Let n(b) = 90*b**2 + 100*b + 35. Let f(a) = -15*a**2 - 17*a - 6. Let i(g) = 25*f(g) + 4*n(g). Factor i(w).
-5*(w + 1)*(3*w + 2)
Let s(t) = -t**2 - 4*t + 1. Let k be s(-3). Factor -6*b**4 + 6*b**k + 3*b**3 + b - b**4 - 3*b**2.
-b*(b - 1)**3
Let b be (-71)/(-55)*1 - 7/(-35). Let n = 1/110 + b. Factor -3/2*m**2 + 0 + 1/2*m - 1/2*m**4 + n*m**3.
-m*(m - 1)**3/2
Let i = 1351/2 + -674. Let k(w) be the first derivative of i*w**2 - 10 - 3/5*w**5 - 3/4*w**4 + 3*w**3 - 6*w. Let k(c) = 0. Calculate c.
-2, -1, 1
Let o = -50969/39 - -1307. Let b(t) be the first derivative of 5/26*t**4 + o*t**3 + 0*t**2 + 7 + 0*t. Factor b(a).
2*a**2*(5*a + 2)/13
Let c(j) be the third derivative of 0 + 49/40*j**6 + 7/5*j**5 + 17/70*j**7 - 1/2*j**4 + 0*j**3 + 0*j - 37*j**2. What is z in c(z) = 0?
-2, -1, 0, 2/17
Let i be ((-10)/6)/(5*2/(-24)). Find h such that -5/4*h**3 - h**i - 1/2*h**2 - 1/4*h**5 + 0 + 0*h = 0.
-2, -1, 0
Let t = -70 + 72. Factor 18 - 59 - 107 - 3*o**t + 1 - 42*o.
-3*(o + 7)**2
Suppose 18*o = 77*o - 118. Let p(n) be the second derivative of -3/16*n**5 - 1/8*n**4 + 0 + 0*n**3 + 0*n**o + n. Solve p(h) = 0 for h.
-2/5, 0
Let v = -812 + 812. Let s(i) be the third derivative of 1/30*i**5 + 0*i**3 + 1/120*i**6 + v*i + 0 + 0*i**4 - i**2. Factor s(h).
h**2*(h + 2)
Let m(k) = -13*k**2 - 16*k + 28 + 3*k**3 + k**3 + k**3 - 4*k**3. Let i be m(14). Factor -3/7*l**5 + 0 + 3/7*l**3 - 3/7*l**2 + i*l + 3/7*l**4.
-3*l**2*(l - 1)**2*(l + 1)/7
Factor -25*g**2 - 26*g**2 - 8*g - g**2 - 44*g**3.
-4*g*(g + 1)*(11*g + 2)
Let h(s) = -2*s**2 - 28*s + 124. Let c(i) = -i**2 - 26*i + 123. Let j(r) = -3*c(r) + 2*h(r). Factor j(t).
-(t - 11)**2
Let z(x) = 4*x**4 - 25*x**3 - 49*x**2 - 62*x - 17. Let o(d) = -5*d**4 + 26*d**3 + 48*d**2 + 64*d + 17. Let l(v) = -5*o(v) - 6*z(v). Factor l(b).
(b + 1)**3*(b + 17)
Suppose -g - 8 = -79. Factor n**4 + 4*n + n**4 - 6*n**2 + g - 71.
2*n*(n - 1)**2*(n + 2)
Factor -3/5*g + 1/5*g**3 + 2/5 + 0*g**2.
(g - 1)**2*(g + 2)/5
Let i(m) be the third derivative of m**8/42 + 31*m**7/105 + m**6/5 - 41*m**5/6 + 25*m**4/6 - 13*m**2. Determine c so that i(c) = 0.
-5, 0, 1/4, 2
Let v(r) be the third derivative of r**7/420 + 7*r**6/240 + 11*r**5/120 + 5*r**4/48 - 21*r**2. Find a such that v(a) = 0.
-5, -1, 0
Let l = -2603 - -33866/13. Let p(v) be the second derivative of 3/26*v**4 - 1/130*v**5 - 7*v + l*v**2 + 0 - 9/13*v**3. Find w such that p(w) = 0.
3
Let m(i) be the third derivative of i**4/24 + 5*i**3 - 7*i**2. Let r be m(-26). Factor -1/3*k - k**3 + k**2 + 1/3*k**r + 0.
k*(k - 1)**3/3
Let h(n) be the third derivative of n**4/24 + 5*n**2. Let x(a) = -5*a**2 + 28*a + 30. Let w(v) = 3*h(v) - x(v). Factor w(d).
5*(d - 6)*(d + 1)
Let j(h) be the first derivative of -h**3 + 60*h**2 - 228*h - 319. Factor j(z).
-3*(z - 38)*(z - 2)
Let v(y) be the third derivative of y**9/30240 + y**8/2520 + y**7/840 + y**5/6 + 7*y**2. Let w(d) be the third derivative of v(d). Solve w(n) = 0.
-3, -1, 0
Let k = 2/69 + 124/483. Let h = -11 - -13. Determine g so that 0 - k*g**h - 4/7*g**3 - 2/7*g**4 + 0*g = 0.
-1, 0
Suppose -2*o - h = -7, -o - 3*h = -6*o + 1. Let 3*r**3 - r**o - 7*r**4 + 1 + 9*r**4 - 3*r**2 - 3*r + 1 = 0. What is r?
-2, -1, 1/2, 1
Let o(h) be the second derivative of 2/3*h**2 - 22*h - 5/18*h**3 - 2 + 1/36*h**4. Factor o(g).
(g - 4)*(g - 1)/3
Suppose 5*k - 13 = 12. Suppose 13 = 4*l - j, j + k = l - 2. Factor 4*t**2 - 3*t**3 - 7*t**2 + 3*t**l.
-3*t**3
Factor 21*g**3 + 20*g**4 + 5*g**3 + 8*g + 10*g**3 - 4*g**5 + 8*g**5 + 28*g**2.
4*g*(g + 1)**3*(g + 2)
Let c(g) = g**2 + 5*g - 30. Let v be c(-10). Let d = v - 20. Determine r so that 0*r + 0 - 2/5*r**5 - 4/5*r**4 + d*r**2 - 2/5*r**3 = 0.
-1, 0
Let m(o) be the third derivative of 1/12*o**3 + 1/20*o**5 - 11*o**2 + 0*o + 0 - 5/48*o**4. Factor m(c).
(2*c - 1)*(3*c - 1)/2
Let -3/7 + 0*r + 3/7*r**2 = 0. What is r?
-1, 1
Let r = 10234/5 + -2042. Let -72/5 - r*p - 2/5*p**2 = 0. What is p?
-6
Let o(t) = 5*t**3 - 1. Let f be o(1). Let g = -15 + 17. Factor -2/3*c - 2/3*c**5 + 0*c**f + 0 + 4/3*c**3 + 0*c**g.
-2*c*(c - 1)**2*(c + 1)**