.
-p*(p + 2)*(p + 3)*(3*p - 2)/4
Let j be 0/1*6/(-18). Suppose 0 = -5*x - j*x + 10. Suppose -4*o**4 + 7*o**3 - o - 6*o**3 - 4*o**x - o**5 - 7*o**3 = 0. What is o?
-1, 0
Solve -238*i + i**3 + 8*i**2 - 2*i**2 + 33*i**2 + 42*i - 20*i + 176 = 0.
-44, 1, 4
Let b(v) be the third derivative of 61/60*v**5 + 0 - 15/2*v**4 + 100*v**2 + 50/3*v**3 + 3/20*v**6 + 0*v + 1/210*v**7. What is j in b(j) = 0?
-10, 1
Let s = -10975 - -10975. Let w(m) be the first derivative of s*m + 1/3*m**3 + 8 - m**2. Factor w(z).
z*(z - 2)
Let o(g) be the first derivative of -g**5/60 - 11*g**4/12 + 44*g**2 - 75. Let r(a) be the second derivative of o(a). Solve r(p) = 0 for p.
-22, 0
Let x(y) be the first derivative of 864*y - 144*y**2 + 5*y**6 + 3525/4*y**4 + 687/5*y**5 - 1606*y**3 - 178. What is q in x(q) = 0?
-12, -2/5, 1/2, 1
Let b(p) be the first derivative of -p**5/15 + 7*p**4/2 - 49*p**3/3 - 95*p**2/3 - 2898. What is j in b(j) = 0?
-1, 0, 5, 38
Let a(r) be the second derivative of -r**8/560 + 2*r**7/175 - r**6/40 + r**5/50 - 10*r**2 + 61*r. Let k(p) be the first derivative of a(p). Factor k(m).
-3*m**2*(m - 2)*(m - 1)**2/5
Let i = 33/5578 + 1184863/78092. Let g = i + -59/4. Determine z so that 9/7*z**2 - 3/7*z - 6/7 + g*z**3 - 3/7*z**4 = 0.
-1, 1, 2
Let m(i) be the second derivative of -i**4/16 - 7*i**3/8 - 15*i**2/4 + 2252*i. Factor m(l).
-3*(l + 2)*(l + 5)/4
Let s(c) = 3*c**3 + 15*c**2 + 112*c + 24. Let f(n) = -5*n**3 - 26*n**2 - 187*n - 39. Let p(y) = 8*f(y) + 13*s(y). Determine a, given that p(a) = 0.
-8, -5, 0
Factor k**3 - 35/4 - 17*k - 15/2*k**2 + 1/4*k**4.
(k - 5)*(k + 1)**2*(k + 7)/4
Suppose -2*y - 5*p = -10, 2*y + 3*p - 5 - 5 = 0. Suppose 3*v + 3 = -y*l + 9*l, 2*v - 9 = -l. Factor 10*g**4 - 5*g**3 + 4*g**5 + 0*g**v - 5*g**5 - 4*g**5.
-5*g**3*(g - 1)**2
Suppose 0 = -21*v - 147 + 84. Let r(f) = -12*f - 4. Let t be (-6)/(-2) + (0 - -1). Let b(u) = u**2 - 11*u - 3. Let q(o) = t*b(o) + v*r(o). Factor q(i).
4*i*(i - 2)
Let c = -2138 - -2146. Suppose 36*h + 2*v - c = 35*h, 0 = h + v - 4. Solve -3/2*p**2 - 9/2*p**3 + h + 3*p = 0 for p.
-1, 0, 2/3
Let n = 306403 - 306399. Determine f, given that -50/11 + 68/11*f**2 - 30/11*f + 28/11*f**3 - 18/11*f**n + 2/11*f**5 = 0.
-1, 1, 5
Suppose 16 = -2*r, r = 6*d - 29 - 9. Factor -5/4*c**3 + 0 - 5*c**2 - d*c.
-5*c*(c + 2)**2/4
Let g(j) be the third derivative of -j**6/240 + 7*j**5/120 + 41*j**4/48 + 11*j**3/4 - j**2 + 724*j - 1. Find h, given that g(h) = 0.
-3, -1, 11
Factor 10784*f**2 - 239*f - 10783*f**2 - 145*f.
f*(f - 384)
Let q(u) be the third derivative of 3*u**2 + 20*u - 1/252*u**8 + 0*u**3 + 16/45*u**5 + 0*u**4 + 0 + 2/35*u**7 - 4/15*u**6. Factor q(g).
-4*g**2*(g - 4)**2*(g - 1)/3
Suppose 463*y - 209*y - 1778 = 0. What is c in -2 - 5/4*c**3 - y*c - 11/2*c**2 = 0?
-2, -2/5
Let h = -13488 - -13492. Let l(q) be the second derivative of 1/6*q**3 - 1/24*q**h + 0 - 47*q - 1/40*q**5 + 0*q**2. Factor l(u).
-u*(u - 1)*(u + 2)/2
Let w be ((-27)/(-2))/9*(4 - 2). Suppose -2*d = w*n - 7, -n - 15 + 12 = 2*d. Factor 1/2*a**2 + n*a + 25/2.
(a + 5)**2/2
Let a = 114371 + -228721/2. Factor -a*y**2 - 10 + 1/2*y**4 - 41/2*y + 1/2*y**3.
(y - 5)*(y + 1)**2*(y + 4)/2
Let m be 18 - (-1 - (-5)/1). Suppose m*n - 25*n = -22. Suppose 18/7 - 3/7*a - 3/7*a**n = 0. What is a?
-3, 2
Let t(q) be the second derivative of -3*q**5/140 - 11*q**4/28 + 13*q**3/7 + 3272*q - 2. Suppose t(c) = 0. What is c?
-13, 0, 2
Let t(x) be the first derivative of x**6/39 - 20*x**5/13 + 24*x**4 + 100*x**3/39 - 625*x**2/13 - 439. Let t(i) = 0. Calculate i.
-1, 0, 1, 25
Suppose 1/2*j + 1/4*j**4 - 1/2*j**3 + 3/4 - j**2 = 0. What is j?
-1, 1, 3
Let a(y) = y**2 - 4*y - 6. Let l be a(-2). Suppose -24 = -l*o - 6. Factor -228*j**3 + 3*j**2 + 7*j + 222*j**o - 3*j**4 - j.
-3*j*(j - 1)*(j + 1)*(j + 2)
Let j = -59 + 24. Let w(l) = -260*l**3 + 55*l**2 + 225*l - 55. Let d(m) = 29*m**3 - 6*m**2 - 25*m + 6. Let b(r) = j*d(r) - 4*w(r). Factor b(s).
5*(s - 1)*(s + 1)*(5*s - 2)
Let q be 144 - 148 - 7/(49/(-42)). Find g, given that -17496/5*g - 324/5*g**q - 2/5*g**3 - 314928/5 = 0.
-54
Let x be (1 - (-110)/8) + (-2520)/(-2016). Determine g, given that 14 + x*g + 11/2*g**2 + 1/2*g**3 = 0.
-7, -2
Suppose -19*s - s = 5*s + 46*s. Let z(i) be the first derivative of 5*i**2 + s*i - 1 + 5/4*i**4 - 5*i**3. Factor z(r).
5*r*(r - 2)*(r - 1)
Let g(w) = -10*w**2 + 5*w + 9. Let d(n) = -21*n**2 + 11*n + 19. Let x(u) = 4*d(u) - 9*g(u). Let k be x(-2). Factor -16 + 4*j**2 + 6*j + 2*j**3 - k*j + 7*j.
2*(j - 2)*(j + 2)**2
Let n(q) be the third derivative of q**6/30 - 12*q**5/5 - 39*q**4/2 + 13222*q**2. What is v in n(v) = 0?
-3, 0, 39
Let m(k) be the second derivative of -2 + 2*k + 13/6*k**4 - 2*k**2 + 11/3*k**3. Factor m(n).
2*(n + 1)*(13*n - 2)
Suppose 2*q + 11 = -n, -3*q = 4*n + q + 28. Let d(s) = -8*s - 14. Let x be d(n). Factor 2*a**2 - 16*a**2 + 6*a**2 + 38*a + x.
-2*(a - 5)*(4*a + 1)
Suppose 4*t - 5*y = -17, -5*t + 4*y = -2*t + 14. Let w be 50/6 - (t + 5). Factor 0 - 20/3*j**2 + 4*j**3 + 4/3*j**4 - w*j**5 + 8/3*j.
-4*j*(j - 1)**3*(j + 2)/3
Let k(l) be the third derivative of -25/4*l**4 + 0 - 2*l + 8*l**2 + 0*l**3 + 1/24*l**6 + 29/12*l**5. Factor k(o).
5*o*(o - 1)*(o + 30)
Let d(l) be the first derivative of l**4/102 - 2*l**3/51 + l**2/17 - 28*l + 7. Let h(r) be the first derivative of d(r). Factor h(x).
2*(x - 1)**2/17
Let n(s) be the first derivative of -1/15*s**5 + 60 + 0*s + 0*s**2 + 1/9*s**3 - 1/36*s**6 + 1/24*s**4. Solve n(v) = 0 for v.
-2, -1, 0, 1
Suppose 7*n = 5*n + 2*o + 2, 3*o - 9 = 0. Let g(c) be the first derivative of -2/3*c**6 + 28/5*c**5 - 19*c**4 - 32*c**2 + 16*c + 100/3*c**3 + n. Factor g(w).
-4*(w - 2)**2*(w - 1)**3
Factor 0 + 1/2*q**4 - 186*q**3 + 34969*q + 34221/2*q**2.
q*(q - 187)**2*(q + 2)/2
Let f(a) be the second derivative of a**5/60 + 3*a**4/4 + 27*a**3/2 + 243*a**2/2 + 3765*a. Factor f(u).
(u + 9)**3/3
Let q = -39 - -33. Let m be 0 - (2 - 35)*(-2)/q. Factor -104*h**4 - m*h**3 + 96*h**4 + 11*h**2 + 21*h**2 + 4*h**5 - 5*h**3.
4*h**2*(h - 2)**2*(h + 2)
Factor 8025/2*u + 3/2*u**2 + 0.
3*u*(u + 2675)/2
Let x = -458 - -464. Factor -x - 13*y - y**2 + 0 - 2 - 14.
-(y + 2)*(y + 11)
Let a(d) = 5*d**2 - 66*d - 79. Let o(l) be the first derivative of 25*l**3/3 - 164*l**2 - 397*l - 225. Let y(x) = -11*a(x) + 2*o(x). Factor y(m).
-5*(m - 15)*(m + 1)
Let y = 105 - 61. Let k = 45 + y. Solve 2 + k*v**2 - 85*v**2 - 8*v + 2 = 0.
1
Let c(y) be the third derivative of -y**7/1575 - 29*y**6/450 - 781*y**5/450 + 29*y**4/3 - 20*y**3 + 1120*y**2. Determine w, given that c(w) = 0.
-30, 1
Let f(a) be the first derivative of a**4/14 - 1048*a**3/21 - 75*a**2 + 6154. Find c, given that f(c) = 0.
-1, 0, 525
Let w be 54/(-220)*4 + 1 + (-46)/(-253). Let s(x) be the first derivative of 2/3*x**3 + 0*x + w*x**5 + 0*x**2 + 3/4*x**4 + 15. Factor s(n).
n**2*(n + 1)*(n + 2)
Let f = 73207/3 - 24402. Suppose k = z + 1, 5*k - 1 = -2*z + 18. Suppose 3*m**k - f*m - 1/3 + 3*m**2 = 0. What is m?
-1, -1/3, 1/3
Factor 0 + 40/3*j + 27*j**2 + 14*j**3 + 1/3*j**4.
j*(j + 1)**2*(j + 40)/3
Suppose -3*o + 4 + 0 = -5*b, o - 3*b = 0. Let x(m) be the first derivative of -2/9*m**o + 8 - 8/3*m - 5/3*m**2. Let x(l) = 0. What is l?
-4, -1
Let a be (-5)/((-2)/(-4) + (-6)/2). Suppose 6 + 11*k + 2 + k**a + 10 = 0. What is k?
-9, -2
Let t be (4 - 0)/(2/9). Let y be (-10 - -6) + (7 - 1). Solve -7*z - 8*z + z**y + t*z = 0 for z.
-3, 0
Let x(t) be the third derivative of -127*t**2 - 1/18*t**4 + 0*t + 1/315*t**7 + 4/9*t**3 + 1/72*t**6 - 1/18*t**5 - 1/1008*t**8 + 0. Let x(m) = 0. What is m?
-2, -1, 1, 2
Let q(u) = 11*u**4 + 87*u**3 - 247*u**2 - 663*u. Let r(d) = 5*d**4 + 42*d**3 - 123*d**2 - 332*d. Let a(x) = 6*q(x) - 13*r(x). Suppose a(i) = 0. What is i?
-2, 0, 13
Suppose 0 = 83*g + 3*g - 430. Let w(z) be the second derivative of 1/18*z**6 - 10/9*z**3 + 0 + 1/3*z**g - 5/36*z**4 + 0*z**2 - 7*z. Solve w(l) = 0 for l.
-4, -1, 0, 1
Let a be ((-8)/4*-4)/(-2). Let m be a/(-10) - (-292)/20. What is h in -4*h**5 + m*h**4 + 7 - 10*h**2 + 10*h**3 - 12 + 0*h**3 - 15*h + 9*h**5 = 0?
-1, 1
Let b = -463 + 461. Let k be 77/105 + b/5. Factor k*i**2 + i + 0.
i*(i + 3)/3
Factor -7*r**2 + 24 - r**3 + 6*r**2 - 20 + 4*r.
-(r - 2)*(r + 1)*(r + 2)
Let c(j) be the third derivative of j**5/24 + 4075*j**4/48 + 2035*j**3/6 - 2034*j**2. Solve c(v) = 0.
-814, -1
Factor 214 + 