Factor f(h).
-h*(h + 1)**2/3
Let m(b) = 6*b**5 + 12*b**4 + 6*b**3 - 3*b**2 - 6*b. Let r(u) = 5*u**5 + 12*u**4 + 8*u**3 - 2*u**2 - 4*u. Let p(k) = 2*m(k) - 3*r(k). Factor p(f).
-3*f**3*(f + 2)**2
Let y(j) be the second derivative of 2*j**7/147 + j**6/105 - 3*j**5/70 - j**4/42 + j**3/21 + 39*j. Determine p so that y(p) = 0.
-1, 0, 1/2, 1
Let p be -4*(-1)/((-4)/3). Let d = p + 9. Find t such that -2*t**2 - 10*t**3 + 6*t + 4*t**3 - d*t**2 + 9*t**4 - t**2 = 0.
-1, 0, 2/3, 1
Let w(z) be the first derivative of -5*z**6/12 - 13*z**5/10 - 9*z**4/8 + z**3/6 + z**2/2 - 154. Factor w(y).
-y*(y + 1)**3*(5*y - 2)/2
Suppose n = -5*h - 42, -5*n - 3*h + 0*h - 276 = 0. Let o = -55 - n. Suppose -1/2*x**o + 1 + 1/2*x = 0. Calculate x.
-1, 2
Find j, given that -2/7*j**2 + 236/7*j - 234/7 = 0.
1, 117
Let b(t) be the second derivative of 25*t**7/168 - 7*t**6/8 + t**5/20 + 5*t**4/4 + 2*t**3/3 - 689*t. Find n such that b(n) = 0.
-2/5, 0, 1, 4
Let j(a) be the first derivative of 4*a**3 - 80*a**2 + 1600*a/3 + 236. Find c such that j(c) = 0.
20/3
Let y(l) = -7*l**2 - 83*l - 963. Let i(g) = -6*g**2 - 84*g - 964. Let s(d) = 5*i(d) - 4*y(d). Determine z so that s(z) = 0.
-22
Solve -9*p**2 + 23/2*p**3 + 1/2*p**4 + 1/2 + 1/4*p - 15/4*p**5 = 0.
-2, -1/5, 1/3, 1
Suppose -127*y + 3620 = 121*y - 67*y. Find u such that 4/7*u**3 + 44/7*u**2 + y*u + 100/7 = 0.
-5, -1
Let d(z) be the third derivative of 0 - 1/14*z**3 - 4*z**2 + 1/140*z**5 + 0*z**4 + 0*z. Factor d(i).
3*(i - 1)*(i + 1)/7
Factor 0 - 28/3*f**3 + 68/3*f**2 - 12*f - 4/3*f**4.
-4*f*(f - 1)**2*(f + 9)/3
Factor 8/5 - 2/5*t**3 - 2/5*t**2 + 8/5*t.
-2*(t - 2)*(t + 1)*(t + 2)/5
Let 8/3*g**2 + 0 - 4/15*g**4 - 2/15*g**5 + 14/15*g**3 + 8/5*g = 0. Calculate g.
-2, -1, 0, 3
Let r be -130 + 121 - (2 + -14). Solve 2/11 - 2/11*g**4 + 4/11*g**r + 0*g**2 - 4/11*g = 0 for g.
-1, 1
Let n(u) be the second derivative of -4*u**7/35 + u**6/2 - 17*u**5/40 + u**4/8 - 11*u**2/2 - 2*u. Let g(a) be the first derivative of n(a). Factor g(o).
-3*o*(o - 2)*(4*o - 1)**2/2
Let o(i) be the third derivative of -i**8/336 + 13*i**7/420 - 7*i**6/80 + i**5/60 + i**4/6 + 3*i**2 + 31*i. Solve o(q) = 0 for q.
-1/2, 0, 1, 2, 4
Let y(j) be the third derivative of j**7/105 + j**6/10 - 9*j**5/10 + j**4/3 + 12*j**3 + 3*j**2 + 8. Determine i so that y(i) = 0.
-9, -1, 2
Let r(s) be the third derivative of 0*s**3 - 17/200*s**6 - 9/175*s**7 + 0*s**5 + 0*s - 1/112*s**8 + 1/10*s**4 - 22*s**2 + 0. Let r(a) = 0. What is a?
-2, -1, 0, 2/5
Let h(o) = 6 + 2 + 21*o + 12*o**3 + 13*o + 0 + 34*o**2. Let p(k) = -37*k**3 - 102*k**2 - 103*k - 24. Let j(z) = -14*h(z) - 4*p(z). Determine r so that j(r) = 0.
-2, -1, -2/5
Let i(n) be the second derivative of -5*n**4/24 + 5*n**3/6 + 30*n**2 + 3*n - 34. Find h such that i(h) = 0.
-4, 6
What is b in -8/7*b - 6/7 - 2/7*b**2 = 0?
-3, -1
Suppose -2*p + 0*p + 4*t = 0, -5*p = 3*t - 13. Let k be 44/10 + p/(-5). What is z in -z**k - 14*z**3 + 5*z**4 + 10*z**3 = 0?
0, 1
Factor -81*p - 80*p + 5*p**2 + 153*p - 4*p**2.
p*(p - 8)
Let c be (-119)/(-34)*(-5)/(-35). Let r be 15/(-6)*(-1)/5. Determine j so that 1/2*j + 0 + 1/2*j**4 - r*j**3 - c*j**2 = 0.
-1, 0, 1
Let y(j) = -5*j**2 + 8*j + 7. Let i(k) = 2*k + 11. Let f be i(-4). Let a(b) = -5*b**2 + 9*b + 6. Let r(c) = f*a(c) - 4*y(c). Determine g, given that r(g) = 0.
-1, 2
Let q(f) be the second derivative of 0 + 1/12*f**2 - 11*f + 1/120*f**5 - 1/36*f**3 - 1/72*f**4. Factor q(h).
(h - 1)**2*(h + 1)/6
Factor 10/13*f**3 - 20/13*f - 46/13*f**2 + 0.
2*f*(f - 5)*(5*f + 2)/13
Let z(c) be the second derivative of -c**5/110 + 7*c**4/66 + 17*c**3/33 + 9*c**2/11 + 43*c. Factor z(f).
-2*(f - 9)*(f + 1)**2/11
Suppose 73*o = 71*o - 0 + 6. Solve 4 - 58/3*l - 14/3*l**o + 20*l**2 = 0.
2/7, 1, 3
Let s(q) be the third derivative of 9*q**5/100 - 13*q**4/40 + 2*q**3/5 + 570*q**2. Factor s(u).
3*(u - 1)*(9*u - 4)/5
Let t be (-4)/12 + (-4)/(-8). Find y, given that 1/2*y + 1/6*y**3 - 1/2*y**2 - t = 0.
1
Let d = -839/3 - -280. Let r(s) be the second derivative of -d*s**3 + 5*s + 0 - s**2 - 1/24*s**4. Suppose r(o) = 0. What is o?
-2
Factor 44*a**3 + 4*a**4 - 3*a**4 + 3*a**4 - 6*a**4.
-2*a**3*(a - 22)
Let c(d) be the second derivative of 1/240*d**6 + 0*d**5 - 1/32*d**4 + 0*d**2 + 0 - 1/24*d**3 + 11*d. Factor c(j).
j*(j - 2)*(j + 1)**2/8
Let c(o) be the third derivative of o**6/900 + 7*o**5/225 + 13*o**4/36 + 20*o**3/9 - 91*o**2. Let c(l) = 0. What is l?
-5, -4
Find g, given that 0 - 2/7*g**2 + 2/7*g = 0.
0, 1
Let y(d) be the third derivative of -d**6/780 - 7*d**5/195 - 43*d**4/156 - 10*d**3/13 + 217*d**2. Factor y(x).
-2*(x + 1)*(x + 3)*(x + 10)/13
Let t(x) be the second derivative of -x**5/60 + x**4/8 - x**3/3 + 9*x**2/2 - x. Let o(d) be the first derivative of t(d). Factor o(q).
-(q - 2)*(q - 1)
Let q be (-4 - 34/(-8))*20. Suppose -3*i + 0*f + 29 = 4*f, 2*i - 31 = -q*f. What is p in 0*p**3 - p**2 + 3*p**2 + 2*p**i - 5*p**3 = 0?
0, 2/3
Let v(n) be the second derivative of n**4/12 - 2*n**3 - 14*n**2 - 160*n. Factor v(f).
(f - 14)*(f + 2)
Suppose -12*q + 0 = -8*q + 4*j - 8, 0 = -2*j. Suppose 0*k + 0 - 2/3*k**q + 1/3*k**3 = 0. Calculate k.
0, 2
Let g = -23517/40 - -4713/8. Let g*l**4 + 0 - 8/5*l**3 - 2/5*l**2 + 4/5*l = 0. What is l?
-2/3, 0, 1
Let i be (-7 - 1014/(-143))/((-6)/(-4)). Let q(c) be the second derivative of 0 - i*c**3 + 1/66*c**4 + 0*c**2 + 6*c. Factor q(l).
2*l*(l - 2)/11
Let b(s) be the third derivative of s**11/332640 + s**10/75600 + s**9/60480 + s**5/6 - 7*s**2. Let c(k) be the third derivative of b(k). Factor c(z).
z**3*(z + 1)**2
Let j(i) = -i**3 + 7*i**2 - 5*i - 3. Let d be j(6). Suppose 3*t + 0 = d. Factor -2*u + 0*u - t + u**4 + 4*u**3 - 2*u**3.
(u - 1)*(u + 1)**3
Let f = 9/644 + 115247/25116. Let c = f + -4/39. Factor -1/2*u**2 + 3*u - c.
-(u - 3)**2/2
Let r(q) be the first derivative of q**6/9 - 4*q**5/15 - q**4/2 + 16*q**3/9 - 4*q**2/3 - 207. Let r(x) = 0. What is x?
-2, 0, 1, 2
Let b(g) be the second derivative of g**5/35 - 2*g**4/21 - 2*g**3/7 - 2*g + 13. Suppose b(p) = 0. What is p?
-1, 0, 3
Let j = 14048 + -14045. What is m in 2/13*m - 2/13*m**j + 0 + 2/13*m**4 - 2/13*m**2 = 0?
-1, 0, 1
Factor 13718/3 + 2/3*y**3 + 38*y**2 + 722*y.
2*(y + 19)**3/3
Let z(p) be the second derivative of 5*p + 1/50*p**5 + 0 + 1/15*p**4 + 0*p**3 + 0*p**2. Find i such that z(i) = 0.
-2, 0
Let v(k) = 2*k**3. Let b(x) = 8*x**3 + 2*x**2 + 32*x + 40. Let s(c) = -b(c) + 5*v(c). Factor s(f).
2*(f - 5)*(f + 2)**2
Let m = -98 + 103. Let z(q) be the second derivative of -11/6*q**4 + 0 + 9/10*q**m + 0*q**2 - 8*q + 2/3*q**3. What is g in z(g) = 0?
0, 2/9, 1
Factor 3561 + 1183 + 3256 - 400*y + 5*y**2.
5*(y - 40)**2
Let p(i) = -6*i**3 + 3*i**2 - 1. Let v be p(-1). Let r be (-21)/(-7) - (-12)/v*-2. Solve r + 0*o - 4/5*o**2 = 0 for o.
0
Let a(m) be the first derivative of 0*m**3 + 1/4*m**5 - 1/6*m**6 + 2 + 0*m**2 + 0*m - 1/16*m**4. Factor a(h).
-h**3*(h - 1)*(4*h - 1)/4
Let s(a) be the second derivative of -a**7/3 + 19*a**6/5 - 27*a**5/2 + 9*a**4/2 + 54*a**3 - 2*a + 6. Suppose s(m) = 0. What is m?
-6/7, 0, 3
Let x(g) be the third derivative of g**5/270 + g**4/3 + 8*g**2 - 13*g. Factor x(a).
2*a*(a + 36)/9
Suppose 0 = -5*g + 6*g - 3. Let b be 20/(-3)*(-9)/6. Determine m, given that -b*m**5 + 8*m**3 + 0*m**4 + g*m**5 - 5*m**5 - 4*m**4 = 0.
-1, 0, 2/3
Let i(t) be the third derivative of -t**6/720 - 11*t**5/240 - 5*t**4/24 + 31*t**3/6 - 30*t**2. Let b(h) be the first derivative of i(h). Factor b(m).
-(m + 1)*(m + 10)/2
Let p(n) be the second derivative of 12*n - 1/30*n**5 - 1/9*n**3 + 0*n**2 + 0 - 1/9*n**4. Factor p(d).
-2*d*(d + 1)**2/3
Determine s so that 18/5*s**2 + 2/5*s**3 + 16/5*s + 0 = 0.
-8, -1, 0
Let u(k) be the second derivative of -k**7/4 - 5*k**6/12 + 9*k**5/20 + 13*k**4/12 + k**3/4 - k**2/4 - 55*k. Determine f so that u(f) = 0.
-1, -1/3, 1/7, 1
Let s(l) be the first derivative of 1/63*l**6 + 0*l - 2/63*l**3 - 5 + 2/105*l**5 + 0*l**2 - 1/42*l**4. Factor s(x).
2*x**2*(x - 1)*(x + 1)**2/21
Let b = 2866/5 - 5717/10. Factor 3 + b*z - 3/2*z**2.
-3*(z - 2)*(z + 1)/2
Let y(m) = 18*m**2 + 14*m - 12. Let z(h) = -h**3 + 10*h**2 + 3*h - 22. Let w be z(10). Let d(l) = -12*l**2 - 9*l + 8. Let o(b) = w*d(b) + 5*y(b). Factor o(c).
-2*(c + 1)*(3*c - 2)
Let l(k) be the second derivative of 5*k**4/12 - 125*k**3/6 - 63*k + 2. Suppose l(b) = 0. Calcu