5 + 968*v/5 + 218. Factor k(i).
(i + 1)*(i + 44)**2/10
Let n(g) = 5*g**4 + 19*g**3 - g**2 + 5*g. Let t(m) = -2*m**4 - 10*m**3 + m**2 - 3*m. Let w(y) = 3*n(y) + 5*t(y). Determine o, given that w(o) = 0.
-1, -2/5, 0
Suppose -2*x - 7 = -11. Factor -1/7*d**5 + 9/7*d**4 + 16/7 - 48/7*d - 32/7*d**3 + 8*d**x.
-(d - 2)**4*(d - 1)/7
Let p(s) be the first derivative of -5/3*s**3 + 13*s**5 + 0*s + 23 - 45/4*s**4 + 5*s**2 - 25/6*s**6. Determine t, given that p(t) = 0.
-2/5, 0, 1
Let u(h) be the second derivative of 1/78*h**4 + 1/130*h**5 + 1/780*h**6 + 0*h**3 + 5*h + 0 + 5/2*h**2. Let a(j) be the first derivative of u(j). Factor a(n).
2*n*(n + 1)*(n + 2)/13
Let a(z) be the first derivative of 8/3*z + 1/9*z**2 - 2/27*z**3 - 41. What is f in a(f) = 0?
-3, 4
Factor 1/4*m + 3 - 1/8*m**2.
-(m - 6)*(m + 4)/8
Let x = 462/565 + -2/113. Solve x*h**2 + 0*h - 16/5 = 0.
-2, 2
Factor -3*r + 3*r + 26*r**3 + 7*r**4 - 6*r + 13*r**2.
r*(r + 1)*(r + 3)*(7*r - 2)
Let m = -88 - -94. Let p = m - 9/2. Find h, given that 3/2 + 15/4*h + p*h**2 = 0.
-2, -1/2
Let f = 1889 + -1889. Let u(w) be the first derivative of 0*w + 0*w**3 + f*w**5 + 0*w**2 + 0*w**4 + 12 - 1/33*w**6. Factor u(q).
-2*q**5/11
Let i(w) be the first derivative of 0*w + 2/3*w**3 + 1/2*w**4 - 1/3*w**6 + 0*w**2 - 2/5*w**5 - 5. Find y, given that i(y) = 0.
-1, 0, 1
Let f(s) be the second derivative of -5*s**4/12 - 85*s**3/2 - 245*s**2 + 248*s. Determine t, given that f(t) = 0.
-49, -2
Let -4/3 - 24*r + 37/3*r**2 = 0. What is r?
-2/37, 2
Let z(r) = -16*r**4 - 14*r**3 + 64*r**2 - 49*r + 6. Let k(d) = d**4 + d**3 + d**2. Let g(a) = 6*k(a) + 2*z(a). What is x in g(x) = 0?
-3, 2/13, 1
Let x(n) = -n**2 + 13*n - 13. Let q be x(11). Factor 13*m**3 - m + 5*m**4 - 2 + 2*m**4 + q*m**2 - 2*m**4.
(m + 1)**3*(5*m - 2)
Let w(q) be the second derivative of 2*q**6/9 + 43*q**5/60 + 13*q**4/18 + q**3/6 - 176*q. Factor w(b).
b*(b + 1)**2*(20*b + 3)/3
Let r(z) be the third derivative of -4 + 2/33*z**4 + 0*z + 4/33*z**3 + 2*z**2 + 1/66*z**5 + 1/660*z**6. Solve r(j) = 0 for j.
-2, -1
Let v be 0/(((-54)/8 - -5) + (-21)/(-28)). Factor 0*f**2 - 4/9*f**4 + v - 16/9*f + 4/3*f**3.
-4*f*(f - 2)**2*(f + 1)/9
Let h(z) be the second derivative of 9*z**5/20 - 91*z**4/4 + 117*z**3/2 - 87*z**2/2 - 55*z. Find n such that h(n) = 0.
1/3, 1, 29
Let d(u) be the third derivative of -u**7/420 + 29*u**6/120 - 221*u**5/120 + 17*u**4/3 - 9*u**3 - 35*u**2. Factor d(o).
-(o - 54)*(o - 2)*(o - 1)**2/2
Let z(n) be the third derivative of n**9/12600 + n**8/5600 - n**7/2100 - n**6/600 + 4*n**4/3 + 27*n**2. Let t(y) be the second derivative of z(y). Factor t(m).
6*m*(m - 1)*(m + 1)**2/5
Let d(f) = f + 3. Let z be d(1). Let c(g) be the third derivative of 0*g**z + 0*g + 0*g**6 - 1/180*g**5 + 0 + 1/630*g**7 - 5*g**2 + 0*g**3. Factor c(y).
y**2*(y - 1)*(y + 1)/3
Let 80/7 - 2/7*p**2 + 12/7*p = 0. What is p?
-4, 10
Suppose 4*k = 4*x - 8, k + 20 = 2*x + 2*x. Suppose 0*s - 42 = -x*s. Factor -8*h + s*h**5 + 12*h**2 - 10*h**5 + 4*h**3 - 12*h**4 + 7*h**5.
4*h*(h - 2)*(h - 1)**2*(h + 1)
Suppose 2 = -2*s + 22. Let m(u) = u - 9. Let t be m(s). Find j such that 11*j**4 - 37*j**4 - t + 18*j**4 - 18*j**2 + 20*j**3 + 7*j = 0.
1/2, 1
Let g(o) be the second derivative of 0 + 0*o**2 + 3/2*o**3 + 1/4*o**4 - 36*o. Let g(l) = 0. What is l?
-3, 0
Let s be 33/4 - 0 - (-3)/(-12). Let g = 1 - 4. Let j(n) = 17*n**2 - 11*n. Let z(y) = 6*y**2 - 4*y. Let b(k) = g*j(k) + s*z(k). Factor b(o).
-o*(3*o - 1)
Let w(m) be the third derivative of -m**6/540 + m**4/108 + 5*m**2. Solve w(h) = 0 for h.
-1, 0, 1
Let h(d) be the third derivative of 0*d + 3/170*d**5 + 8*d**2 + 1/51*d**3 + 1/34*d**4 + 0. Factor h(j).
2*(3*j + 1)**2/17
Let k be (78 + -71)/((-7)/(-2)). Determine d, given that 0 + 2/17*d**k - 2/17*d = 0.
0, 1
Let o(d) be the first derivative of 1/30*d**4 + 2 + 0*d + 4/45*d**3 + 1/15*d**2. Suppose o(x) = 0. Calculate x.
-1, 0
Let i(c) be the first derivative of -c**5/2 - 15*c**4/8 - 5*c**3/2 - 5*c**2/4 + 230. Factor i(p).
-5*p*(p + 1)**3/2
Suppose -3*z + 12 = w, -10*w = -8*w - z + 4. Let a(g) be the first derivative of 5 - 1/15*g**3 + w*g + 1/10*g**2. Factor a(v).
-v*(v - 1)/5
Let n(o) be the second derivative of o**5/10 - 5*o**4/6 + 8*o**3/3 - 4*o**2 + 153*o. Factor n(c).
2*(c - 2)**2*(c - 1)
Let v(u) be the third derivative of 1/80*u**4 + 0*u + 20*u**2 + 0 - 1/1200*u**6 + 0*u**5 - 1/30*u**3. Factor v(f).
-(f - 1)**2*(f + 2)/10
Let n(h) be the third derivative of 1/540*h**6 + 1/1512*h**8 + 0 + 0*h**4 + 0*h**5 + 0*h - 18*h**2 - 2/945*h**7 + 0*h**3. Determine l so that n(l) = 0.
0, 1
Suppose -11*u + 16*u = 2*y + 106, 0 = 3*u - y - 63. Suppose 5*r + d = 35, 5*r - 4*d = -2*d + u. Factor -r*i - 3/4 - 12*i**2.
-3*(4*i + 1)**2/4
Let m = 2/16127 + 16123/32254. Find y such that -3/2*y + m*y**3 - 1 + 0*y**2 = 0.
-1, 2
Factor 5*g**4 - 1/5*g**5 - 48*g**3 - 432*g + 216*g**2 + 1296/5.
-(g - 6)**4*(g - 1)/5
Let m(x) be the second derivative of x**6/10 - 3*x**5/20 - x**4/2 + 508*x - 1. Factor m(p).
3*p**2*(p - 2)*(p + 1)
Factor 2 - 4/3*v**3 + 2/3*v**4 - 8/3*v**2 + 4/3*v.
2*(v - 3)*(v - 1)*(v + 1)**2/3
Let l(m) be the second derivative of m**6/75 - m**5/50 - 2*m**4/15 + 4*m**3/15 - 39*m - 4. Factor l(f).
2*f*(f - 2)*(f - 1)*(f + 2)/5
Factor -12*r - 9/4*r**2 - 9 + 3/4*r**3.
3*(r - 6)*(r + 1)*(r + 2)/4
Let f(k) be the first derivative of -5 - 1/4*k**4 + 0*k**3 + 0*k**2 + 3*k - 3/20*k**5. Let g(x) be the first derivative of f(x). Suppose g(v) = 0. Calculate v.
-1, 0
Let l(w) = -3*w**4 - 21*w**3 + 101*w**2 - 117*w + 35. Let r(t) = t**4 + 11*t**3 - 51*t**2 + 59*t - 17. Let d(q) = -3*l(q) - 5*r(q). Find i such that d(i) = 0.
-5, 1
Let o be 5/77 + (-12)/(-33). Factor -o*b**2 - 27/7 - 18/7*b.
-3*(b + 3)**2/7
Suppose -2/7*c + 0 - 2/7*c**2 = 0. Calculate c.
-1, 0
Let b(a) be the third derivative of a**8/896 + a**7/140 - 19*a**2. Suppose b(g) = 0. Calculate g.
-4, 0
Let q(w) be the first derivative of 9*w**4/4 - 16*w**3 - 37. Determine t so that q(t) = 0.
0, 16/3
Let c(t) = -t**3 - 16*t**2 - 16*t - 13. Let y be c(-15). Suppose 11 = y*i + 5*l - 22, 2*i - 35 = -3*l. Factor m + 16*m**2 + 3 - m - i*m**2.
-3*(m - 1)*(m + 1)
Let 0 - 2/17*z**3 - 50/17*z**2 + 0*z = 0. Calculate z.
-25, 0
Let o(a) = a + 6. Let u be o(4). Let y(k) = -k**3 + 12*k**2 - 23*k + 32. Let f be y(u). Solve -2/3 + 8/9*g - 2/9*g**f = 0.
1, 3
Let z be ((-7)/56)/((-1)/6). Suppose -d = k, -4*k + 5*k - d = 4. Factor -5/4*y**k + 1/2*y + 0 + 1/4*y**4 + z*y**3 - 1/4*y**5.
-y*(y - 1)**3*(y + 2)/4
Suppose -8*f - 45*f = 0. Let k(d) be the first derivative of 1/5*d**5 + f*d**2 + 1/16*d**4 + 0*d + 2 + 1/8*d**6 + 0*d**3. Factor k(u).
u**3*(u + 1)*(3*u + 1)/4
Let l(q) be the first derivative of 2*q**5/25 + q**4/5 - 2*q**3/5 - 15. Factor l(w).
2*w**2*(w - 1)*(w + 3)/5
Let y be (-42)/(-28)*184/6. Factor -2 - 4*m**2 + 38*m - y*m - 2.
-4*(m + 1)**2
Let q(l) be the third derivative of 4761*l**8/392 - 2829*l**7/49 + 1387*l**6/14 - 435*l**5/7 - 135*l**4/28 - l**3/7 + 2*l**2 + 251. Let q(s) = 0. What is s?
-1/69, 1
Let h(s) = -s**3 + 14*s**2 + 17*s - 15. Let j be h(15). Suppose 0 = -17*f + j*f. Suppose 7/2*a**4 + 0*a + 2*a**5 + f + a**3 - 1/2*a**2 = 0. Calculate a.
-1, 0, 1/4
Let b be (-1 + (-12)/(-8))*2. Let f = b - -3. Find i, given that 8*i**2 + 8*i + f*i - 10*i = 0.
-1/4, 0
Let d(v) be the third derivative of -v**5/120 - v**4/8 - 2*v**3/3 - 26*v**2. Factor d(c).
-(c + 2)*(c + 4)/2
Suppose 21 = -4*y + 7*y. Suppose 5*m - 3 = y. Let 3*t - m - 2*t + 2*t - t**2 = 0. What is t?
1, 2
Let v(x) be the second derivative of -1/10*x**3 - 1/20*x**4 + 0 + 3/5*x**2 - 18*x. Let v(g) = 0. What is g?
-2, 1
Let o(i) be the first derivative of -5/24*i**6 + 1/6*i**3 + 0*i**2 + 0*i - 9/16*i**4 + 3/5*i**5 + 36. Solve o(u) = 0.
0, 2/5, 1
Let w(i) = -74*i + 3. Let n be w(0). Let -b**4 - 9/2 + 9/2*b**n - 21/2*b - 1/2*b**2 = 0. What is b?
-1, -1/2, 3
Let 1/2*i - 7/2*i**2 - 1/2*i**3 + 3 + 1/2*i**4 = 0. Calculate i.
-2, -1, 1, 3
Let t(p) be the first derivative of p**6/3 - 2*p**5/5 - 2*p**4 + 8*p**3/3 + 31. Factor t(s).
2*s**2*(s - 2)*(s - 1)*(s + 2)
Suppose 4*s = 15 - 7. Suppose 24 - 9*n**s - 27 + 5*n + 7*n = 0. What is n?
1/3, 1
Factor 90*c**2 - 38*c**3 - 17*c**3 + 145*c - 185*c + 20*c**3.
-5*c*(c - 2)*(7*c - 4)
Let -40/3*p - 400/3 - 1/3*p**2 = 0. What is p?
-20
Let i(r) = -11 + 11 - 1. Let g(j) = -15*j