 + 1 - h - 4*h**2 + o*h**2.
(h + 1)**2
Find b, given that -68*b + 432*b**3 + 7*b**2 + 9*b**2 - 428*b**3 - 240 = 0.
-5, -3, 4
Let w = -30 + 34. Factor -192*l**3 + 0*l**4 + 12*l**4 + 204*l**3 + 4*l**5 + w*l**2.
4*l**2*(l + 1)**3
Let b(l) be the third derivative of 2*l**6/3 - 47*l**5/15 + 4*l**4/3 + 8*l**3 - 2*l**2 - 12. Factor b(p).
4*(p - 2)*(4*p - 3)*(5*p + 2)
Let f = 2/1025 - -4094/3075. Factor 0*i**2 + 2/3*i**4 - f*i - 2/3 + 4/3*i**3.
2*(i - 1)*(i + 1)**3/3
Let x(k) be the third derivative of k**6/24 + 5*k**5/12 + 5*k**4/6 - 141*k**2. Suppose x(y) = 0. What is y?
-4, -1, 0
Let m(i) be the third derivative of 1/300*i**6 + 0 - 1/840*i**8 + 0*i**3 - 3*i**2 + 1/525*i**7 + 0*i + 0*i**4 - 1/150*i**5. Find y, given that m(y) = 0.
-1, 0, 1
Let f(i) be the second derivative of -i**7/35 - 2*i**6/25 + i**4/5 + i**3/5 + 110*i. Factor f(b).
-6*b*(b - 1)*(b + 1)**3/5
Let i be ((-3410)/(-25))/11 + -10. Let a = 627 - 3123/5. Find q, given that i + 3/5*q**2 + a*q = 0.
-2
Let h(x) = 5*x**2 + 54*x + 725. Let l(v) = -14*v**2 - 162*v - 2176. Let r(y) = -11*h(y) - 4*l(y). Factor r(z).
(z + 27)**2
Let l(r) be the second derivative of -r**5/10 - r**4 + 7*r**3/3 + 103*r. Determine x so that l(x) = 0.
-7, 0, 1
Suppose 220 - 49 = 3*f. Let t be f/12 + 3/12. What is z in z**4 - 4*z**t + 75*z**2 - 67*z**2 - z**4 + 12*z**3 = 0?
-1, 0, 2
Let p(j) be the third derivative of -j**9/5040 + j**7/280 - j**6/120 - j**4/8 - 3*j**2. Let w(k) be the second derivative of p(k). Find i, given that w(i) = 0.
-2, 0, 1
Factor -2/3*o**2 + 0 - 4/3*o + 2/3*o**3.
2*o*(o - 2)*(o + 1)/3
Let l be -4 - (-2 + 178/(-91)). Let c = 748/455 + l. Let c*z - 2/5*z**2 - 8/5 = 0. Calculate z.
2
Let h(n) = -6*n + 13 + n + 3*n + n. Let l be h(8). Factor -l*m**2 + 4 - 4*m + 2*m**2 + 4*m**2.
(m - 2)**2
Let d(s) be the second derivative of 1/80*s**5 - 1/120*s**6 + 0*s**2 + 0*s**4 + 0*s**3 - 12*s + 0. Suppose d(o) = 0. What is o?
0, 1
Let f(y) be the third derivative of y**5/180 + 5*y**4/36 + 8*y**3/9 - 591*y**2. Factor f(p).
(p + 2)*(p + 8)/3
Suppose 34*b = -12*b + 138. Determine h, given that -12/5*h**4 - 3/5*h**5 - 18/5*h**b - 3/5*h + 0 - 12/5*h**2 = 0.
-1, 0
Let l(o) = -2*o**2 + 3*o**2 + o**2 - 3*o. Let s be l(2). Factor -3*h**3 + 0*h**4 + 3*h**5 - s*h**3 - 15*h**2 + 3*h**4 - 6*h - 4*h**3.
3*h*(h - 2)*(h + 1)**3
Find w, given that -2/11*w**3 - 24/11*w - 26/11*w**2 + 0 = 0.
-12, -1, 0
Let n(t) = -t - 4. Suppose h - 26 = -q + 5*q, -3*q = -4*h + 13. Let k be n(q). Factor -10*m - 4*m**2 - m**2 - 13*m**2 - 5*m + k.
-3*(m + 1)*(6*m - 1)
Let o = 2889 - 20219/7. Factor -6/7*g**3 - o*g + 9/7*g**2 + 1/7*g**4 + 0.
g*(g - 4)*(g - 1)**2/7
Factor 62 - 2*d**3 - 195*d + 34*d**2 + 35*d + 66.
-2*(d - 8)**2*(d - 1)
Factor -47/9*q**2 + 20/9 + 56/9*q + 7/9*q**3.
(q - 5)*(q - 2)*(7*q + 2)/9
Let z(t) be the first derivative of -5/3*t**2 + t**3 - 13 + 1/30*t**5 + 4/3*t - 7/24*t**4. Factor z(x).
(x - 2)**3*(x - 1)/6
Let q(m) = -9 - 8*m**4 + 5 + 0*m**3 + 4*m**3. Let u(s) = -s**5 + 7*s**4 - 3*s**3 + 3. Let r(d) = -3*q(d) - 4*u(d). Solve r(f) = 0.
0, 1
Let p be (-3)/((-48)/(-26)) + 10 + -8. Let n(g) be the first derivative of -3/2*g + 5 + 1/2*g**3 - 3/4*g**2 + p*g**4. Suppose n(s) = 0. Calculate s.
-1, 1
Let b = -64 + 130. Suppose -3*j + 4*g - 16 = -b, -3*g = -4*j + 69. Factor 4*z**2 - 20*z + 3 + 31*z - j*z.
(z - 1)*(4*z - 3)
Let z(u) = -7*u + 6. Let d be z(4). Let k(h) = h**3 + 23*h**2 + 22*h + 2. Let c be k(d). Factor -18*j**3 - 14/3*j**5 - 4/3*j + 46/3*j**4 + 26/3*j**c + 0.
-2*j*(j - 1)**3*(7*j - 2)/3
Let i(h) be the second derivative of 175*h**4/6 - 10*h**3/3 + h**2/7 + 3*h - 64. Factor i(u).
2*(35*u - 1)**2/7
Let u be ((-793)/(-65) - 9 - 3)*1536. Determine t, given that -576/5*t - 3/5*t**3 + u + 72/5*t**2 = 0.
8
Let n(a) be the second derivative of 0 + 1/66*a**4 - 1/110*a**5 + 0*a**2 + 2/33*a**3 - 32*a. Solve n(l) = 0 for l.
-1, 0, 2
Suppose u - 2*u - 9 = 0. Let c be 4*1 - ((-52)/u + -2). Factor 2/3*v**3 + 2/3*v**2 + 0 + 2/9*v**4 + c*v.
2*v*(v + 1)**3/9
Let v(c) = -c**5 - 36*c**4 + 61*c**3 - 30*c**2. Let p(h) = 35*h**4 - 60*h**3 + 30*h**2. Let q(m) = 6*p(m) + 5*v(m). Determine l, given that q(l) = 0.
0, 1, 2, 3
Let k be 1/(10/60*(-1 + 52)). Factor 0*o - 2/17*o**4 + 4/17*o**2 - k*o**3 + 0.
-2*o**2*(o - 1)*(o + 2)/17
Let g(y) = -y**2 - 1. Let z(j) = -j + 4*j + 0*j**2 - 11 - 10*j**2. Let u = 12 - 10. Let x(s) = u*z(s) - 18*g(s). Factor x(i).
-2*(i - 2)*(i - 1)
Let c(x) be the third derivative of -7/600*x**6 + 3/50*x**5 + 4/15*x**3 + 1/1050*x**7 + 0*x - 1/6*x**4 + 0 + 6*x**2. Determine a so that c(a) = 0.
1, 2
Let i(o) be the third derivative of o**8/224 - 13*o**7/140 + o**6/2 - 9*o**5/10 + 2*o**2 - 253*o. Factor i(w).
3*w**2*(w - 9)*(w - 2)**2/2
Let w(u) be the third derivative of -7/30*u**6 + 4/5*u**5 + 10*u**2 + 2/105*u**7 + 2/3*u**4 + 0 - 32/3*u**3 + 0*u. Factor w(v).
4*(v - 4)*(v - 2)**2*(v + 1)
Let u(w) be the third derivative of 1/8*w**4 - 1/35*w**7 + 0*w**3 + 1/10*w**5 + 0*w + 6*w**2 - 1/112*w**8 + 0 + 0*w**6. Factor u(s).
-3*s*(s - 1)*(s + 1)**3
Let t = 5 + 0. Suppose -1 = -3*l + t. Solve -4*n - n - 2 - 3*n**l + 0 = 0 for n.
-1, -2/3
Solve -4*i**4 + 8*i**4 + 6*i**4 - 19*i**3 - 13*i**4 + 4*i**3 = 0.
-5, 0
Let v(a) = -2*a**2 + 2*a. Let u be (-8)/36 + (-2008)/36 + 4. Let c(r) = -18*r**2 + 18*r. Let q(x) = u*v(x) + 6*c(x). Factor q(p).
-4*p*(p - 1)
Let w be (-1)/(-4 - 22/(-6)). Factor 0 + 0 + y**w - 3*y**3.
-2*y**3
Let h(p) be the first derivative of 5*p**4/4 + 10*p**3/3 - 5*p**2/2 - 10*p + 186. Factor h(l).
5*(l - 1)*(l + 1)*(l + 2)
Let n(s) be the first derivative of -3*s**4/4 + 20*s**3 - 1. Determine w so that n(w) = 0.
0, 20
Let d(y) be the third derivative of y**8/1344 - y**7/280 + y**6/480 + y**5/80 - y**4/48 + 62*y**2. Factor d(m).
m*(m - 2)*(m - 1)**2*(m + 1)/4
Suppose 126 - 42 = -3*y. Let v be (48/y)/(40/(-84)). Let v + 2/5*w**2 - 12/5*w = 0. What is w?
3
Let s(z) be the first derivative of 0*z + 64/27*z**3 + 2*z**2 - 4 + 2/45*z**5 - 1/540*z**6 - 4/9*z**4. Let j(c) be the second derivative of s(c). Factor j(r).
-2*(r - 4)**3/9
Suppose -343*y = -344*y. Let w(p) be the second derivative of 2/7*p**3 + 3/14*p**4 + 2/35*p**5 + 1/7*p**2 + y + 5*p. Factor w(b).
2*(b + 1)**2*(4*b + 1)/7
Solve -15/2*c**4 + 0 + 14*c**3 + 2*c**2 + 0*c = 0.
-2/15, 0, 2
Suppose -n = 4*y - 65, 6*y - 10*y + 55 = -n. Let i be y/(-20)*(160/12)/(-5). Determine d, given that 4/13*d + 0 + 2/13*d**i = 0.
-2, 0
Let c(h) be the first derivative of 3/2*h - 55 + 1/8*h**6 + 9/8*h**2 + 0*h**5 - 1/2*h**3 - 3/4*h**4. Determine o so that c(o) = 0.
-1, 1, 2
Let y(s) be the first derivative of s**6/3 + 12*s**5/5 + 11*s**4/2 + 4*s**3/3 - 12*s**2 - 16*s + 338. Factor y(d).
2*(d - 1)*(d + 1)*(d + 2)**3
Suppose -3040/7*s**2 + 0 - 2888/7*s - 2/7*s**4 - 22*s**3 = 0. Calculate s.
-38, -1, 0
Determine j, given that -62 - 91*j**3 + 26 - 22*j + 34*j**2 + 2*j**4 + 113*j**3 = 0.
-9, -2, -1, 1
Let f(a) be the first derivative of -a**3/3 + 167*a**2 - 27889*a + 121. Factor f(m).
-(m - 167)**2
Let v be (1960/91)/(-4) - -6. Factor 0 + 2/13*r**3 + v*r**2 + 6/13*r.
2*r*(r + 1)*(r + 3)/13
Suppose 28*w = 12*w + 32. Factor 18/7*m**w + 2/7*m**3 + 30/7*m - 50/7.
2*(m - 1)*(m + 5)**2/7
Find u such that -416 - 3*u + 136 + 141 + 139 - 3*u**2 = 0.
-1, 0
Let u(w) be the third derivative of 2*w**7/35 - 53*w**6/8 + 2073*w**5/10 + 2057*w**4/2 - 1156*w**3 + 799*w**2. Let u(a) = 0. Calculate a.
-2, 1/4, 34
Let j(z) be the first derivative of -z**7/1260 - z**6/270 - z**5/180 - 7*z**3/3 - 11. Let g(u) be the third derivative of j(u). Suppose g(a) = 0. What is a?
-1, 0
Factor l**2 + 68 + 32 - 262*l + 242*l.
(l - 10)**2
Let s(f) be the first derivative of f**4/12 + f**3/9 - f**2/6 - f/3 + 195. Find v such that s(v) = 0.
-1, 1
Let k(w) be the first derivative of w**4/20 + w**3 - w**2/10 - 3*w - 62. Factor k(v).
(v - 1)*(v + 1)*(v + 15)/5
Let l(c) be the first derivative of -8/5*c**5 - 5/6*c**4 + 0*c**2 + 2/3*c**3 - 9 + 5*c - 3/5*c**6. Let v(w) be the first derivative of l(w). Factor v(p).
-2*p*(p + 1)**2*(9*p - 2)
Let x = -281 - -281. Let s(y) be the third derivative of -1/10*y**3 + 0*y**4 + 0*y + 3*y**2 + x + 1/100*y**5. Factor s(l).
3*(l - 1)*(l + 1)/5
Solve 18*h**4 + 19*h**4 + 368*h**2 + 40*h**3 + 142*h - 49*h**4 + 0*h**3 + 256 + 466*h = 0.
-2, -2/3, 8
Suppose h + 2*v + 4 = -2, -v + 6 = 5*h. Suppose