*z**2 + z - 4. Let c(y) = -6*y**2 - y + 7. Let t(o) = -o**3 + o**2 + o + 2. Let f be t(0). Let p(b) = f*c(b) + 5*m(b). Let p(u) = 0. Calculate u.
-2, 1
Suppose -339*i = -342*i + 12. Let u(d) be the second derivative of -1/20*d**i + 0 + 0*d**2 + d - 1/5*d**3. Factor u(s).
-3*s*(s + 2)/5
Let v(z) = -5*z**2 + 153*z - 85. Let c be v(30). Factor 0*y + 5/4*y**3 + 1/4*y**c - y**4 + 0 - 1/2*y**2.
y**2*(y - 2)*(y - 1)**2/4
Let l(f) = 11*f**3 + 6*f**2 + f - 6. Let p(s) = -21*s**3 - 11*s**2 - s + 11. Suppose -25 = 5*y - 260. Let n = y - 36. Let j(t) = n*l(t) + 6*p(t). Factor j(o).
-5*o*(o - 1)*(o + 1)
Let t be (-11)/(44/(-10)) + 2/4. Determine w so that 0 - 3/4*w**2 - 1/4*w**4 + 1/4*w + 3/4*w**t = 0.
0, 1
Let g(p) = 1 - 2*p + p + 2*p + 2*p. Let y be g(1). Factor y*r**2 + 0*r**3 - 3*r**2 + r**3.
r**2*(r + 1)
Let l(y) be the first derivative of 4*y**5/5 - 16*y**4 - 48*y**3 + 77. Factor l(d).
4*d**2*(d - 18)*(d + 2)
Let c(h) be the third derivative of h**7/945 - h**6/135 - h**5/90 + 7*h**4/54 - 8*h**3/27 + 87*h**2 - 2*h. Factor c(p).
2*(p - 4)*(p - 1)**2*(p + 2)/9
Let d(u) be the second derivative of -u**7/189 - u**6/15 - 13*u**5/90 + u**4/6 + 14*u**3/27 - 60*u + 2. Solve d(o) = 0.
-7, -2, -1, 0, 1
Find k such that 34*k - 4 + 2*k**2 + 9*k + 25 - 11*k + 9 = 0.
-15, -1
Let z(m) be the first derivative of 0*m - 27/2*m**3 - 9/20*m**5 - 1/40*m**6 - 27/8*m**4 - 3/2*m**2 - 3. Let y(c) be the second derivative of z(c). Factor y(g).
-3*(g + 3)**3
Let q(k) = -6*k**2 - 44*k + 52. Let j(a) = -a**2 - 4*a. Let s(f) = 5*j(f) - q(f). Let s(c) = 0. Calculate c.
-26, 2
Let v(a) = -17*a + 173. Let l be v(10). Let t(h) be the first derivative of 6*h - 2*h**2 - 2/3*h**l + 1. Factor t(p).
-2*(p - 1)*(p + 3)
Let k(i) be the third derivative of -i**5/360 + 28*i**4/9 - 12544*i**3/9 + 850*i**2. Let k(g) = 0. What is g?
224
Let n(i) be the second derivative of -i**5/40 + i**4/4 + 7*i**3/12 - 48*i - 1. Factor n(s).
-s*(s - 7)*(s + 1)/2
Let z = 115/22 - 947/198. Find v, given that 2/9 - 2/3*v**4 + 2/3*v - 2/9*v**5 - 4/9*v**3 + z*v**2 = 0.
-1, 1
Suppose -4*f + 6*o = 3*o - 15, 3*f + 5*o - 4 = 0. Let u(x) be the first derivative of -4/9*x**f - 4 - 4/3*x**2 - 4/3*x. Factor u(p).
-4*(p + 1)**2/3
Find i such that 35*i - 96*i**2 + 91*i**2 - 456*i - 261*i - 8*i = 0.
-138, 0
What is u in 6/5*u**2 + 0 - u + 1/5*u**5 + 4/5*u**3 - 6/5*u**4 = 0?
-1, 0, 1, 5
Let a(g) be the third derivative of -g**9/60480 - g**8/20160 + g**7/5040 + g**6/720 + g**5/10 - 4*g**2. Let y(l) be the third derivative of a(l). Factor y(f).
-(f - 1)*(f + 1)**2
Let f(s) be the third derivative of -s**6/540 - s**5/90 + s**4/108 + s**3/9 - s**2 + 15*s. Suppose f(z) = 0. What is z?
-3, -1, 1
Suppose -3*l - 3*b + 42 = 0, 0 = 5*l + 90*b - 89*b - 34. Let 55/2*c**2 - l - 10*c**3 - 25/2*c = 0. What is c?
-1/4, 1, 2
Let m(u) = -u**3 - u**2 + u + 1. Let s(d) = -2*d**3 + 4*d**2 + 10*d + 6. Let q(b) = 3*m(b) - s(b). Let f be q(-6). Factor 0 + 3/2*r - 9/2*r**2 - 6*r**f.
-3*r*(r + 1)*(4*r - 1)/2
Factor 2/7*j**2 - 11/7*j - 6/7.
(j - 6)*(2*j + 1)/7
Let u(v) be the second derivative of v**4/54 - 16*v**3/9 + 64*v**2 - 3*v - 8. Solve u(s) = 0 for s.
24
Factor -2/9*o**4 - 4/9*o**3 + 0*o**2 + 0*o + 0.
-2*o**3*(o + 2)/9
Let h(o) = 57*o**4 - 40*o**3 - 50*o**2 + 54*o - 7. Let b(n) = -28*n**4 + 20*n**3 + 25*n**2 - 26*n + 3. Let p(y) = 7*b(y) + 3*h(y). Factor p(d).
-5*d*(d - 1)*(d + 1)*(5*d - 4)
Let b be 3*(33/(-6) + (-48)/(-6)). Factor 0 + 0*z + 5/2*z**4 + b*z**2 - 25/2*z**3 + 5/2*z**5.
5*z**2*(z - 1)**2*(z + 3)/2
Let h(n) be the second derivative of -n**6/210 + 3*n**5/140 - n**4/84 - n**3/14 + n**2/7 - 51*n. Factor h(v).
-(v - 2)*(v - 1)**2*(v + 1)/7
Let x(g) = 3*g**2 - 1. Let i be x(1). What is a in 79*a**3 + 0*a**i + 0*a**2 - 77*a**3 = 0?
0
Let x(j) = -5*j. Let k(t) = t. Let n(m) = -2*k(m) - x(m). Let i be n(5). Let -i + 20*y - 1 - 9*y**2 - 4 + 4*y**2 = 0. Calculate y.
2
Solve 1176 - 3*q**3 + 14*q**4 - 62*q**4 + 924*q - 102*q**2 - 154*q**3 - 3*q**5 - 62*q**3 = 0.
-7, -2, 2
Suppose -11*k + 2*k + 119*k = 880. Suppose 10/9*i**2 + 16/3*i - k - 4/3*i**3 + 2/9*i**4 = 0. Calculate i.
-2, 2, 3
Let o = 24 + -22. Suppose 244*n - 259*n - 3*n**o + 20 - 2*n**2 = 0. What is n?
-4, 1
Let n(o) be the first derivative of o**5/15 + o**4/12 - 4*o**3/9 - 2*o**2/3 + 60. Factor n(m).
m*(m - 2)*(m + 1)*(m + 2)/3
Let n(c) be the first derivative of 68*c**3/21 - 33*c**2/7 - 2*c/7 - 153. Suppose n(r) = 0. Calculate r.
-1/34, 1
Suppose 14*q - 84 = 7*q. Suppose 2*i - 4*x + q = 0, 0*i - x = 3*i - 3. Determine p so that -3*p**3 + 0 + 0*p**2 + 3/2*p**5 + i*p**4 + 3/2*p = 0.
-1, 0, 1
Suppose 0 = 4*j + 2*x + x - 15, -5*j + 3*x = -39. Let q be (1*-4)/(-2)*j. Find t such that -q*t**3 + 12*t**3 - 2*t**2 + 2*t**4 = 0.
-1, 0, 1
Factor 926*f**3 - 7*f**2 - 922*f**3 + 2*f - 1 + 8*f**2 - 6*f.
(f - 1)*(f + 1)*(4*f + 1)
Factor -238*l + 4 + 1 + 2*l**2 - 3 + 242*l.
2*(l + 1)**2
Suppose 2/7*p + 0 + 6/7*p**3 - 8/7*p**2 = 0. What is p?
0, 1/3, 1
Let k(q) be the second derivative of q**4/30 + q**3/3 + 4*q**2/5 - 3*q - 5. Factor k(h).
2*(h + 1)*(h + 4)/5
Let k(g) be the second derivative of -1/14*g**5 + 0*g**3 - 10*g + 1/21*g**4 + 0*g**2 + 0. Determine o so that k(o) = 0.
0, 2/5
Find u such that -4 + 10/3*u**2 + 2/3*u**4 - 14/3*u**3 + 14/3*u = 0.
-1, 1, 6
Suppose 129*u = 38*u - 43*u. Factor 4/3*m**2 + 2/3*m**5 + 10/3*m**3 + u + 8/3*m**4 + 0*m.
2*m**2*(m + 1)**2*(m + 2)/3
Let i = -56 + 44. Let h(z) = -9*z**4 - 48*z**3 - 156*z**2 - 156*z - 36. Let p(l) = l**3 - l**2 - l + 1. Let u(d) = i*p(d) + h(d). Let u(j) = 0. What is j?
-2, -2/3
Let u(y) be the third derivative of 0*y**3 - 1/50*y**6 + 1/350*y**7 + 1/100*y**5 + 3/20*y**4 - 30*y**2 + 0*y + 0. Factor u(t).
3*t*(t - 3)*(t - 2)*(t + 1)/5
Suppose -3*d + 0*d - 3*w + 21 = 0, -w + 13 = 3*d. Let q(t) = t + 3. Let s be q(-2). Factor s + 5*b - 7 - d*b**2 - 14*b.
-3*(b + 1)*(b + 2)
Let f = -1997 + 1999. Factor k**3 + 0*k + 0 + 0*k**f + 1/2*k**4 - 3/2*k**5.
-k**3*(k - 1)*(3*k + 2)/2
Suppose -4*g - 4 = 2*n, 41*g - 46*g - 19 = -n. Let x(l) be the first derivative of -6*l - 3/8*l**n + 1 - 6*l**2 - 5/2*l**3. Factor x(u).
-3*(u + 1)*(u + 2)**2/2
Suppose 98/3 - 28/3*m + 2/3*m**2 = 0. What is m?
7
Suppose 9 = 3*j + 3. Let w be (4 + (j - 9))*-1. Factor -1/5*f**w - 1/5*f + 0 - 2/5*f**2.
-f*(f + 1)**2/5
Let r = -3 + 5. Let v = -248 - -277. Find y such that -37 + 7*y + r*y - 2*y**2 + v - y = 0.
2
Let b(v) be the third derivative of v**6/96 - 39*v**5/16 + 7605*v**4/32 - 98865*v**3/8 + 234*v**2. Factor b(n).
5*(n - 39)**3/4
Factor -405/2 + 1/2*q**3 - 9/2*q + 13/2*q**2.
(q - 5)*(q + 9)**2/2
Let p be (-13 - -6)*(1 - 50/35). Suppose 15/4*h - 5/4*h**5 - 15/4*h**4 - 5/2*h**p + 5/2*h**2 + 5/4 = 0. What is h?
-1, 1
Let v(d) = d**2 - 7*d - 16. Let h be v(9). Suppose -24*c**3 - 6*c**5 + 18*c**4 + 6*c + 7*c**3 - h*c + c**5 = 0. What is c?
-2/5, 0, 1, 2
Let j = -583 + 583. Let a(v) be the second derivative of -1/60*v**6 + 1/40*v**5 + j - 9*v + 0*v**2 + 1/24*v**4 - 1/84*v**7 + 0*v**3. Let a(z) = 0. Calculate z.
-1, 0, 1
Let v be ((-3)/1)/(-3)*1. Let u(r) = r + 1. Let b be u(v). Suppose -m + 0*m + 2*m**2 + 2*m**3 - 3*m**3 + 0*m**b = 0. Calculate m.
0, 1
Determine a, given that -77/4*a - 19/4*a**3 - 15/2 - 1/4*a**4 - 65/4*a**2 = 0.
-15, -2, -1
Let a(u) be the third derivative of -u**8/28 + 3*u**7/2 - 293*u**6/20 - 357*u**5/5 + 49*u**4 + 697*u**2. Suppose a(c) = 0. Calculate c.
-2, 0, 1/4, 14
Suppose -515*h - 45 + 115/4*h**2 = 0. What is h?
-2/23, 18
Let s = 370 - 367. Let l(n) be the second derivative of 0 + 2/3*n**s - 6*n - 1/6*n**4 - n**2. Determine f, given that l(f) = 0.
1
Let q = -376 + 380. Let x(i) be the first derivative of q + 8*i**2 + 7/3*i**3 + 4*i. Solve x(d) = 0.
-2, -2/7
Let a be ((-2)/(-5))/((-1)/(-5)). Let m be 4/22 + (-48)/264. Find r, given that 2 - a*r + m - 3*r**2 + r**4 - 2 = 0.
-1, 0, 2
Let q be (-8)/(7/(42/(-4))*3). Factor 63*a**4 + 2*a - 12*a**3 - 20*a**2 - 32*a**4 + 10*a**5 - 17*a**q + 6.
2*(a - 1)*(a + 1)**3*(5*a - 3)
Let l(y) = -y**2 + y + 4. Let t(m) = 7*m**2 - 166*m + 2171. Let a(f) = -4*l(f) - t(f). Factor a(z).
-3*(z - 27)**2
Let v be (6 - (-132)/(-11)) + (-86)/(-13). Find p, given that v*p + 2/13*p**2 + 0 = 0.
-4, 0
Let x be 5/(5/8)*(-11 - 444/(-40)). Solve x*k**3 + 0*k + 8/5*k**2 + 0 = 0.
-2, 0
Let l(i) = -15*i**4 + 145*i**3 - 525*i**2 + 655*i - 26