+ 3*n**4 + 9*n**3 + 26*n**2 + 22*n. Let y(u) = 5*a(u) + 3*z(u). Factor y(t).
-t*(t - 3)*(t + 1)**2*(t + 2)
What is b in -2/11*b**3 + 270/11*b**2 + 0 + 0*b = 0?
0, 135
Suppose -45 = 584*r - 575*r. Let o(g) = 15*g**2 + 65*g + 75. Let z(i) = -37 - 22*i - 11*i - i**2 - 7*i**2. Let l(f) = r*z(f) - 3*o(f). Factor l(q).
-5*(q + 2)*(q + 4)
Suppose 2274*c = 2237*c + 111. Factor 9/2*p**2 - 1/2*p**4 - 6 + 0*p**c - 2*p.
-(p - 2)**2*(p + 1)*(p + 3)/2
Factor 496*b - 220*b - 185*b - 171*b + 5*b**3.
5*b*(b - 4)*(b + 4)
Suppose -o + 9 = 5. Suppose 5*f - 5*l = 20, 0 = -4*l - 0*l - o. Solve 5*p + 20*p**2 + 17*p**3 - 20 + 0*p - 40*p**3 + 18*p**f = 0.
-1, 1, 4
Let u(x) be the third derivative of -x**7/105 + 5*x**6/6 - 63*x**5/10 + 58*x**4/3 - 92*x**3/3 + 123*x**2 + 2*x. Determine t, given that u(t) = 0.
1, 2, 46
Let -13755*f + 3*f**3 - 139 - 36*f**2 + 42 + 13899*f - 95 = 0. What is f?
4
Let d(k) = -k**3 + 26*k**2 - 28*k + 115. Let s be d(24). Let j = -1775/3 + s. Let 0 - j*i**2 - 2/3*i**3 + 4*i = 0. What is i?
-6, 0, 1
Suppose 0 = 12*a + 2*a - 28. Factor -4356 + 80*l**3 + 400*l**a + 4*l**4 + 4356.
4*l**2*(l + 10)**2
Let b(h) be the second derivative of h**5/50 + 14*h**4/15 + 20*h**3/3 + 96*h**2/5 + 1012*h. Factor b(y).
2*(y + 2)**2*(y + 24)/5
Suppose -4*y + 4 = -4*a, y - 5*y = -2*a - 8. Suppose -a*c - c = -9. Factor -11*f - 3*f**c + 3*f**4 - 16*f**2 + 4*f**2 + 6*f**3 - f.
3*f*(f - 2)*(f + 1)*(f + 2)
Let h(u) be the first derivative of -4/15*u**5 + 14/9*u**3 + 0*u + 87 + 0*u**2 + 55/12*u**4. Let h(s) = 0. What is s?
-1/4, 0, 14
Let h(c) be the second derivative of -c**4/4 + 844*c**3 - 1068504*c**2 + 105*c. Suppose h(r) = 0. Calculate r.
844
Let c(q) be the third derivative of q**5/15 - 19*q**4/2 + 784*q**3/3 + 2*q**2 - 323*q. Solve c(f) = 0.
8, 49
Let g(x) be the second derivative of x**5/120 + x**4/24 - x**3/6 - 2*x**2/3 + 2818*x. Factor g(k).
(k - 2)*(k + 1)*(k + 4)/6
Let c(t) be the third derivative of t**8/42 + 142*t**7/105 + 451*t**6/80 + 1099*t**5/120 + 331*t**4/48 + 11*t**3/4 + 1833*t**2. Determine v so that c(v) = 0.
-33, -1, -1/4
Let x(g) be the first derivative of -17/7*g**2 - 2/35*g**5 + 8 - 34/21*g**3 - 12/7*g - 1/2*g**4. Let x(p) = 0. What is p?
-3, -2, -1
Let f(g) be the first derivative of 16/15*g**3 + 1/15*g**4 + 32/5*g**2 + 13 - 16*g. Let l(n) be the first derivative of f(n). Factor l(x).
4*(x + 4)**2/5
Suppose -4*h + 0*o + 8 = 2*o, 5*o = h - 2. Suppose 246*l + 3*l**3 - 246*l + 0*l**3 - 3*l**h = 0. Calculate l.
0, 1
Let k(c) = -4 + 19 - 3*c + 3. Let z be k(5). Let -3*b - 2*b**2 + 6*b**2 - b**2 + 0*b**4 + 3*b**3 - z*b**4 = 0. Calculate b.
-1, 0, 1
Suppose 21463 + 15257 = 340*h. Suppose -81/2*o**4 - 6*o**5 + 0 - 75/2*o**3 - 24*o + h*o**2 = 0. Calculate o.
-4, 0, 1/4, 1
Let l be (-26)/(-9) - ((-64)/(-72) - 1). Suppose -21*f**2 - 2*f**2 - 7*f**2 + 54*f - 26 + 2*f**l = 0. What is f?
1, 13
Let h(b) = 2*b**2 + 2. Let x(p) = 5*p**2 - 155*p - 1180. Let a(r) = 5*h(r) - x(r). Suppose a(t) = 0. What is t?
-17, -14
Let a(v) be the first derivative of -32*v**6/9 + 32384*v**5/15 - 1024141*v**4/3 - 6074*v**3/9 + 384560*v**2/3 - 128018*v/3 - 2365. Solve a(p) = 0.
-1/2, 1/4, 253
Suppose -3*c - 10*c = -429. Suppose 2*x = -2*p - 0*x + 28, 0 = -2*p + 3*x + c. Suppose p - 5*k**3 + 15*k**2 + 17 + 45*k - 7 = 0. Calculate k.
-1, 5
Factor -124/5*g**2 + 0 + 16/5*g + 3*g**4 + 28/5*g**3.
g*(g - 2)*(g + 4)*(15*g - 2)/5
Let z(x) be the second derivative of -1/10*x**5 + 17/6*x**4 - 1/15*x**6 + 0*x**2 - 13*x + 7 - 5*x**3. Factor z(h).
-2*h*(h - 3)*(h - 1)*(h + 5)
Suppose v - 2*v + 11 = 3*q, -3*q - 4*v = -17. Suppose 5*x**q + 70*x + 20 - 36*x - 39*x - 20*x**2 + 0*x**3 = 0. What is x?
-1, 1, 4
Let r(z) = -11*z**3 - 1971*z**2 + 307159*z + 938975. Let v(h) = -12*h**3 - 1974*h**2 + 307158*h + 938976. Let p(w) = -15*r(w) + 14*v(w). Factor p(t).
-3*(t - 323)**2*(t + 3)
Let r(x) be the first derivative of 8*x**2 + 0*x - 20/3*x**3 - 2*x**4 + 3/5*x**5 + 9. Find c, given that r(c) = 0.
-2, 0, 2/3, 4
Let p(c) be the first derivative of -686*c**6/3 - 17248*c**5/5 - 77455*c**4/4 - 47979*c**3 - 94041*c**2/2 - 19683*c - 3676. Solve p(x) = 0.
-27/7, -1/2
Let w = -578014 - -578017. Let -114*a**4 + 0 - 14*a + 281/2*a**w + 27/2*a**5 - 26*a**2 = 0. Calculate a.
-2/9, 0, 2/3, 1, 7
Let x(v) be the second derivative of v**5/10 + 365*v**4/18 + 242*v**3/9 + 84*v - 2. Factor x(q).
2*q*(q + 121)*(3*q + 2)/3
Let x = 2728 + -3846. Let h = x - -1120. Determine n, given that -n**h + 8/3 + 1/3*n**3 - 2*n = 0.
-2, 1, 4
Let i(s) be the first derivative of 2*s**3/3 - 117*s**2 - 968*s + 1419. Solve i(y) = 0 for y.
-4, 121
Let y be 7/63 + 20532/(-108). Let c = -379/2 - y. Let 0*o**2 + 1/4 - c*o - 1/4*o**4 + 1/2*o**3 = 0. Calculate o.
-1, 1
Let z(x) be the third derivative of 3 + 5/8*x**3 + 1/6*x**4 + 0*x - 18*x**2 + 1/240*x**5. Let z(p) = 0. Calculate p.
-15, -1
Suppose -5*o = 4*v - 619, -3*o - 148 + 457 = 2*v. Let u be (v/190)/1 + 258/(-645). Solve 0*s**2 + 0 + 6/19*s**3 - u*s**4 + 2/19*s**5 + 0*s = 0.
0, 1, 3
Let q(l) be the third derivative of -l**5/90 - l**4/2 + 16*l**3 + 12*l**2 + 264*l + 2. Determine b, given that q(b) = 0.
-24, 6
Let a(w) = -14*w + 154. Let d be a(11). Let o be (10 + d)/(-10)*(-6)/11. Let -6/11*l**3 + 0*l + 0*l**2 + 0 + o*l**4 = 0. What is l?
0, 1
Let t(h) be the second derivative of -h**5/110 + h**4/6 + 80*h**3/11 + 828*h**2/11 + h + 375. Factor t(b).
-2*(b - 23)*(b + 6)**2/11
Suppose 7*r + 93 - 128 = 0. Let f = r + -3. Determine n, given that 0*n - 1/6*n**f + 0 = 0.
0
Let b(j) = j**3 + 15*j**2 - 33*j + 51. Let u be b(-17). Find i, given that 15*i**2 + 16*i - 7*i**3 + u*i - 23*i**3 + 261*i**4 - 256*i**4 = 0.
-1, 0, 2, 5
Let m(z) be the third derivative of 0*z + 85/36*z**3 + 175/144*z**4 + 19/72*z**5 + 1/144*z**6 + 20*z**2 + 0. Factor m(s).
5*(s + 1)**2*(s + 17)/6
Let s(i) = 155*i**3 - 475*i**2 + 800*i + 1175. Let h(r) = -11*r**3 + 34*r**2 - 57*r - 84. Let u be (30/6)/(-1*(-4)/68). Let d(x) = u*h(x) + 6*s(x). Factor d(k).
-5*(k - 6)*(k - 3)*(k + 1)
Factor 280*f + 2/7*f**4 + 16*f**2 + 0 - 46/7*f**3.
2*f*(f - 14)**2*(f + 5)/7
Let b(m) = 6 + 9*m - 9*m + 3*m. Let r be b(6). Factor 16*j**2 - 3*j**5 + 16*j**4 + j**5 - 2*j**5 - r*j**3 - 4*j.
-4*j*(j - 1)**4
Let q(p) be the second derivative of -1/30*p**4 - 5 - 31/15*p**3 - p + 0*p**2. Factor q(v).
-2*v*(v + 31)/5
Let l be ((-13932)/378)/86 - ((-2)/3 - (-4)/(-12)). Let g = -754 - -5303/7. Solve 5/7*y**2 + g*y**3 + l - 16/7*y = 0.
-1, 2/5
Suppose -36*l = -34*l - 564. Let f = l + -279. Factor -2/9*j**4 + 0*j**2 - 2/9*j**5 + 4/9*j**f + 0*j + 0.
-2*j**3*(j - 1)*(j + 2)/9
Let k(m) be the first derivative of m**4/8 - 19*m**3/2 + 1083*m**2/4 + 69*m + 9. Let q(g) be the first derivative of k(g). Let q(v) = 0. Calculate v.
19
Let i be ((-1 - -1)/1)/(329/(3290/40)). What is k in i + 0*k + 10*k**4 - 25*k**3 + 40/3*k**2 + 5/3*k**5 = 0?
-8, 0, 1
Let y(u) = -183*u**3 - 45*u**2 - 282*u + 678. Let h(t) = -214*t**3 - 45*t**2 - 285*t + 677. Let l(w) = 6*h(w) - 7*y(w). Factor l(b).
-3*(b - 19)*(b - 2)*(b + 6)
Let z(h) be the third derivative of h**5/12 - 295*h**4/12 + 882*h**2. What is p in z(p) = 0?
0, 118
Factor -128/3*a + 0 - 2/9*a**2.
-2*a*(a + 192)/9
Let j(p) be the second derivative of -p**6/720 - p**5/45 + 19*p**4/144 - 5*p**3/18 - 49*p**2/2 + 7*p - 2. Let r(w) be the first derivative of j(w). Factor r(z).
-(z - 1)**2*(z + 10)/6
Factor -2038456 - 1140*q - 441*q**2 - 427*q**2 + 2038172 - 12*q**3.
-4*(q + 1)*(q + 71)*(3*q + 1)
Let v(m) be the third derivative of 1/15*m**5 - 1/60*m**6 + 0*m + 0 + 1/12*m**4 - 10*m**2 - 2/3*m**3. Factor v(a).
-2*(a - 2)*(a - 1)*(a + 1)
Let y be 39/(-26)*(6 - -2). Let t be -10 - y/192*172. Factor -3/4 + 0*d**2 + 3/2*d - 3/2*d**3 + t*d**4.
3*(d - 1)**3*(d + 1)/4
Let w = -8593352/11 + 781214. Factor -26/11*i**2 - 72/11 + 96/11*i + w*i**3.
2*(i - 6)**2*(i - 1)/11
Let l be (-249)/(-166) + 205/(-246). Let -1/3*s**2 + 0 - l*s = 0. Calculate s.
-2, 0
Let -114/5*p**4 + 0 - 4/5*p**5 - 58/5*p + 62/5*p**3 + 114/5*p**2 = 0. What is p?
-29, -1, 0, 1/2, 1
Suppose 0*d - 1898 = -2*d - 1894. Let c(l) be the second derivative of 1/6*l**d - 1/36*l**4 - 40*l + 0 + 1/18*l**3 - 1/60*l**5. Factor c(a).
-(a - 1)*(a + 1)**2/3
Let c be 11/242*2 + (-714)/(-374). Determine a so that 100/7*a - 1250/7 - 2/7*a**c = 0.
25
Let i = 18 - -24. Let a = i - 35. Factor 