 + 0*p**n + 3/5*p**3.
-p**2*(p - 1)**2*(p + 2)/5
Determine j, given that -26/9*j**2 + 42 - 118/3*j + 2/9*j**3 = 0.
-9, 1, 21
Suppose 5*f - 50 = 0, -2*c + 2*f + 3*f = 288 - 244. Determine h, given that 3/5*h**2 + 0 - c*h = 0.
0, 5
Let b be 2 + (2 - (0 + 6 + -5)). Suppose 8 = -v - 4*t, 26 = 5*v - 2*t - 0*t. Factor 2*w**2 - w**2 + 2*w**4 - 3*w**v - b*w**3 - 3*w**2.
-w**2*(w + 1)*(w + 2)
Suppose 262/7*i**2 + 30/7*i**3 - 22/7*i**4 + 2/7*i**5 - 464/7*i - 96 = 0. What is i?
-3, -1, 4, 7
Let j(m) = m**2 + 29*m - 60. Let n be j(-31). Factor 119*p**4 + 2*p**3 - p**n + 0*p**2 - 2*p - 118*p**4.
p*(p - 1)*(p + 1)*(p + 2)
Let s = 991 - 990. Let j be (-81 - -80)*(-3)/s. Factor -j*w**2 + 3/2*w**4 + 0 + 3/2*w**3 + 0*w.
3*w**2*(w - 1)*(w + 2)/2
Suppose j - 22 - 3 = 0. Let z = j - 12. Find q such that 3 + 9*q**3 + 3*q + q + 12*q**4 - 15*q**2 - z*q = 0.
-1, 1/4, 1
Solve 924 + 109541*r**2 + 13*r + 25*r - 109543*r**2 = 0 for r.
-14, 33
Let s = -191047 + 191049. Factor 12/5*a + 4/5*a**s - 8.
4*(a - 2)*(a + 5)/5
Let q(o) = 2*o**2 + 30*o + 44. Let u(s) = -3*s - 1. Let y(r) = -q(r) - 16*u(r). Find p, given that y(p) = 0.
2, 7
Let v(q) be the first derivative of 25*q**7/168 + 5*q**6/12 + q**5/2 + q**4/3 - 199*q**3/3 - 182. Let j(b) be the third derivative of v(b). Factor j(o).
(5*o + 2)**3
Let o be ((-181)/2759345)/((-13)/10). Let f = o + 2853826/753103. Factor -24/19*a - f - 2/19*a**2.
-2*(a + 6)**2/19
Let c(d) be the second derivative of 2/3*d**2 - 2*d - 82 + 0*d**4 + 1/3*d**3 - 1/30*d**5. Factor c(k).
-2*(k - 2)*(k + 1)**2/3
Let n(y) = -8*y**2 + 215*y - 27. Let k(s) = -20*s. Let o(d) = 18*k(d) + 2*n(d). Factor o(a).
-2*(a - 1)*(8*a - 27)
Suppose -1396 = -10650*o + 10301*o. Find n such that 16*n**o - 8/5*n**2 + 16/5*n**5 - 132/5*n - 72/5 + 116/5*n**3 = 0.
-2, -3/2, -1, 1
Let f(c) be the second derivative of c**10/15120 + c**9/1890 + c**8/672 + c**7/630 + 7*c**4/3 + 2*c - 1. Let y(a) be the third derivative of f(a). Factor y(t).
2*t**2*(t + 1)**2*(t + 2)
Let f(i) be the second derivative of -41/6*i**4 - 172*i + 14*i**3 + 0 + 0*i**2 - 1/10*i**5. What is u in f(u) = 0?
-42, 0, 1
Let r = 6911 - 414659/60. Let q(z) be the third derivative of r*z**5 + 0 + 0*z + 1/12*z**4 - 16*z**2 - 4/3*z**3. What is k in q(k) = 0?
-4, 2
Let f(l) = l**5 + l**3 + l**2 + l. Let b(m) = -7*m**5 - 10*m**4 - 31*m**3 + 57*m**2 - 45*m. Let w(i) = 2*b(i) + 18*f(i). Let w(p) = 0. Calculate p.
-3, 0, 1, 6
Suppose -t + 25 = -5*d, -3*d - 5 = -3*t + 10. Suppose -2*a + 9 = 3*b, t = -5*a - 2*b - b + 18. Solve 0*m**3 + 3*m**4 - 2*m**4 - 4*m**4 - 3*m**2 + 6*m**a = 0.
0, 1
Let c(a) be the first derivative of -4*a**5/25 - 13*a**4/5 + 28*a**3 - 342*a**2/5 - 32. Solve c(i) = 0.
-19, 0, 3
Let r be (6/(-68))/((-2736)/131784). Factor 5/2*w + 3/4*w**3 + 0 + r*w**2.
w*(w + 5)*(3*w + 2)/4
Let x = 30 - 42. Let c(z) = -z - 3. Let s be c(x). Factor -12*m + 22*m**2 - s - 25*m**2 + 0*m.
-3*(m + 1)*(m + 3)
Suppose 2*l = -2*a + a + 131, -l + a = -67. Let d = l + -44. Let 2*j + 2*j + 22*j**2 - d*j**2 + 45*j**3 + 28*j**2 = 0. Calculate j.
-2/5, -2/9, 0
Factor 0 + 0*h + 5376/5*h**3 - 1806336/5*h**2 - 4/5*h**4.
-4*h**2*(h - 672)**2/5
Let j be 3 - (26/4 - 5)*-22. Suppose 5*d = d + 320. Factor -j + d - 3*u**2 - 74 + 21*u.
-3*(u - 5)*(u - 2)
Let j(o) = 8*o - 148. Let s be j(20). Suppose 35*q + 20 = 5*u + 30*q, -4*u + 3*q + s = 0. Solve 6/11*c**3 - 2/11*c**5 + 4/11*c**2 + 0 + 0*c + u*c**4 = 0.
-1, 0, 2
Let j = 477 - 475. Solve 89*l**2 - 8 + 2*l**3 - 46*l**j - 26*l + 12*l - 47*l**2 = 0.
-1, 4
Find j, given that 7580*j - 1296*j**2 - 3796*j + 4*j**3 - 3784*j = 0.
0, 324
Suppose -9*k = -a - 7*k - 663, -3*a + 3*k - 1998 = 0. Let i = a - -671. Factor 0 + 2/3*r**i - 2/3*r.
2*r*(r - 1)/3
Find t such that -3*t**2 - 102*t + 179 + 258 + 148 = 0.
-39, 5
Factor -3/4*h**2 - 45 + 723/8*h.
-3*(h - 120)*(2*h - 1)/8
Let r(i) be the second derivative of -i**6/6 + 9*i**5/4 - 125*i**4/12 + 45*i**3/2 - 25*i**2 - 16*i + 6. Factor r(x).
-5*(x - 5)*(x - 2)*(x - 1)**2
Let i = 11572 + -11557. Let y(d) be the second derivative of 0 + 1/66*d**4 - 1/33*d**3 + 1/110*d**5 + i*d - 1/11*d**2. Find q, given that y(q) = 0.
-1, 1
Suppose 10 = 5*s + 5*a - 0, 18 = 4*s - a. Let p be 4*s/24*3. Factor 2 + p + 30*w + 31 - 5*w**2.
-5*(w - 7)*(w + 1)
Suppose 2 - 1/2*d**2 + 0*d = 0. What is d?
-2, 2
Let h(q) be the second derivative of 2*q**6/15 + 14*q**5/5 - 31*q**4 + 92*q**3/3 + 304*q**2 - 392*q + 2. Determine o so that h(o) = 0.
-19, -1, 2, 4
Let n(z) be the first derivative of 18/5*z - 11/10*z**2 + 129 + 1/15*z**3. Factor n(i).
(i - 9)*(i - 2)/5
Let a(g) be the third derivative of g**8/1176 + g**7/147 + g**6/210 - g**5/15 - g**4/28 + 3*g**3/7 - 134*g**2 - 7*g + 3. Determine b, given that a(b) = 0.
-3, -1, 1
Let x(p) be the first derivative of 72*p - 22*p**2 + 4/3*p**3 - 21. Solve x(c) = 0 for c.
2, 9
Let c = 460/1441 + -18/131. Factor -10/11*p - 28/11 + c*p**2.
2*(p - 7)*(p + 2)/11
Let l = 96 + -94. Factor 12*p + 9427*p**2 - 2 + 10 - 9423*p**l.
4*(p + 1)*(p + 2)
Let r(z) be the second derivative of -17*z - 1/18*z**4 - 2/3*z**3 + 0 + 4/3*z**2 - 1/15*z**6 + 1/126*z**7 + 11/60*z**5. Factor r(w).
(w - 2)**3*(w - 1)*(w + 1)/3
Let y(c) be the third derivative of 0*c**3 - 2*c - 9/4*c**5 - 15/4*c**4 - 5/1008*c**8 - 5/8*c**6 - 11/126*c**7 + 0 + 32*c**2. Factor y(t).
-5*t*(t + 2)*(t + 3)**3/3
Let w(f) be the third derivative of -40*f**2 + 2/3*f**4 - 7/30*f**6 + 2/35*f**7 + 0*f**3 + 0 + 0*f + 0*f**5. Factor w(o).
4*o*(o - 2)*(o - 1)*(3*o + 2)
Suppose 1395*w = 1398*w. Let j(o) be the third derivative of -1/15*o**5 + 1/15*o**6 + 0 + 0*o**4 - 6*o**2 + 0*o + w*o**3. Factor j(u).
4*u**2*(2*u - 1)
Suppose 2*i**2 + 3*i**4 - 25*i**2 + 40 - 4*i**2 - 16115*i**3 + 16094*i**3 - 16 + 21*i = 0. Calculate i.
-1, 1, 8
Let o = 6 - 4. Suppose 9*y = 81 - 54. Determine q, given that 55*q**3 - q**2 - 56*q**y - 2*q**2 - o + 5*q**2 + q = 0.
-1, 1, 2
Let d(b) be the third derivative of 0*b + 11/2*b**4 + 5 + 9/5*b**5 + 16/3*b**3 - 2*b**2. Factor d(g).
4*(3*g + 1)*(9*g + 8)
Let x = -32827/252 + 914/7. Let l = -31/180 + x. Suppose 2/5*p**2 - 4/15 + 2/15*p - l*p**3 - 2/15*p**4 = 0. What is p?
-2, -1, 1
Let l = -450 - -454. Factor -12*f**3 + 3*f**5 - 15*f**4 - 6*f**2 + 25*f**4 + 9*f - l*f**4.
3*f*(f - 1)**2*(f + 1)*(f + 3)
Let a(k) be the second derivative of 106/5*k**5 - 968/5*k**2 + 0 - 2/3*k**6 - 4664/15*k**3 - 101*k - 863/5*k**4. Factor a(g).
-4*(g - 11)**2*(5*g + 2)**2/5
Let u be 18/(-42) - 9078/(-42)*3. Let i be 9/(u/(-16))*(-7 + -2). Suppose 0 + 0*m + 2/5*m**3 + 2/5*m**i = 0. What is m?
-1, 0
Suppose 5*o - 18 = -4*o. Find k, given that -k**3 - 11*k**2 - 2*k**3 + 17*k**2 - 9*k + 6*k**o = 0.
0, 1, 3
Let c(x) = 3*x - 2. Let v be c(2). Determine k, given that v*k**2 + 28*k**3 - 5 + 0 + 5 - 30*k**3 - 2*k = 0.
0, 1
Let 1/5*x**2 + 1/5*x**3 - 4/5*x - 4/5 = 0. What is x?
-2, -1, 2
Let p be (-3 + (-10 - 12/54*-57))*-6. Let -2*j**p - 2/3*j + 2 + 2/3*j**3 = 0. Calculate j.
-1, 1, 3
Let x(y) be the first derivative of y**4/4 - 2*y**3/3 + 5*y**2/2 - 2*y + 59. Let o be x(1). Find h, given that 1/3*h**o - 3 - 8/3*h = 0.
-1, 9
Let m(i) be the third derivative of i**8/168 - 8*i**7/21 - 127*i**6/60 - 43*i**5/15 + 5*i**2 + 90*i. Find v such that m(v) = 0.
-2, -1, 0, 43
Let m(h) = -h**3 - 34*h**2 - 37*h + 33. Let r be m(-35). Factor 3*j**3 + 2*j**4 + 2502*j**2 + j**4 - 63*j + 108 - r*j**2.
3*(j - 4)*(j - 1)*(j + 3)**2
Let w(t) be the second derivative of 1/20*t**5 + 0 + 11*t - 1/90*t**6 + 0*t**2 + 0*t**3 + 1/9*t**4. Factor w(n).
-n**2*(n - 4)*(n + 1)/3
Suppose 9*k - 17*k + 80 = 0. Suppose -2*t = -5*p + 38, -p + k = -0*p + 2*t. Solve 28 + 4/7*l**2 - p*l = 0 for l.
7
Let w(x) be the third derivative of -50/3*x**4 - 1 + 47*x**2 - 80/3*x**3 - 5/3*x**6 - 20/3*x**5 - 5/336*x**8 - 5/21*x**7 + 0*x. Factor w(t).
-5*(t + 2)**5
Let a(i) be the first derivative of i**5/720 - 5*i**4/288 + 25*i**2/2 + 2*i - 26. Let t(c) be the second derivative of a(c). Let t(w) = 0. Calculate w.
0, 5
Suppose -2*h + 5*a + 49 = 0, -12*h - a + 65 = -8*h. Factor 31*s**2 + 6*s**3 - h*s**2 - 8*s**3.
-2*s**2*(s - 7)
Suppose 15 = 3*c, -3*c = -0*q + 2*q - 39. Factor 0*o**4 + q*o**2 - 4*o**4 + 11 + 32*o - 8*o**3 + 8 - 3.
-4*(o - 2)*(o + 1)**2*(o + 2)
Let h(l) be the first derivative of 2*l**3/3 - 93*l**2 + 184*l + 293. Factor h(a).
2*(a - 92)*(a - 1)
Let o(h) b