/3080 - a**7/2310 - 11*a**3/3 + 25*a. Let k(s) be the second derivative of w(s). Factor k(r).
-2*r**3*(r + 1)*(r + 2)/11
Find v, given that -16*v**3 - 8 - 1/2*v**5 - 28*v**2 - 9/2*v**4 - 24*v = 0.
-2, -1
Suppose 5*r + 9 - 24 = 0. Solve r*i**4 - 540*i - 162 - 4*i**5 - 545*i**2 - 240*i**3 - 53*i**4 + 5*i**2 = 0 for i.
-3, -1/2
Let r be 1 + 5 + 3 + (5 - 10). Let n(o) be the second derivative of -1/10*o**2 + 6*o - 1/15*o**3 + 0 - 1/60*o**r. Suppose n(k) = 0. Calculate k.
-1
Suppose 166 = 4*v + 154. Let p(j) be the second derivative of 1/3*j**v + j**2 + 0 + 1/24*j**4 + 9*j. Factor p(m).
(m + 2)**2/2
Let h(t) be the first derivative of -11*t**4 + 80*t**3/3 + 8*t**2 + 520. Factor h(a).
-4*a*(a - 2)*(11*a + 2)
Let t = -20 + 31. Let c be (-4)/6 + t/3. Factor c*u**3 - 5*u**3 + 8*u - 4*u - 2*u.
-2*u*(u - 1)*(u + 1)
Let z = 139/2 + -69. Let j(v) be the first derivative of -1/6*v**3 + z*v**2 + 6 + 0*v. Suppose j(g) = 0. What is g?
0, 2
Let b(y) be the first derivative of -y**6/15 + y**5/40 + y**4/6 - y**3/12 - 11*y + 17. Let o(x) be the first derivative of b(x). What is g in o(g) = 0?
-1, 0, 1/4, 1
Factor 0*t + 3*t**2 - 15*t**3 + 0 + 27/4*t**4.
3*t**2*(t - 2)*(9*t - 2)/4
Let i = -925 - -2807/3. Let q = 251/6 + -73/2. Factor q*s + 2/3*s**2 + i.
2*(s + 4)**2/3
Let a(h) be the second derivative of -5*h**4/2 + 53*h**3/2 - 171*h**2/2 - 796*h. Factor a(i).
-3*(2*i - 3)*(5*i - 19)
Suppose -x + 0*x = -g + 5, x - 1 = -2*g. Suppose -t + 2*h - 3 = 0, -g*t + 3*h = -t + 7. Factor -t + 19*q + q - 11 - 4*q**2.
-4*(q - 4)*(q - 1)
Suppose -2*j = -7*j - q - 1179, -5*j = 3*q + 1177. Let m be ((-18)/(-7))/(j/(-56) + -4). Find a such that -8/5 + 22/5*a**2 + m*a**3 - 10*a**4 - 24/5*a = 0.
-2/5, 1
Factor -63 - 4*k**2 - 22 + 169 - 4 + 184 + 260*k.
-4*(k - 66)*(k + 1)
Let g be (-42048)/(-4088) - (3 - -2)*2. Solve -2/7*b**2 + 4/7*b - g*b**3 + 0 = 0 for b.
-2, 0, 1
Let b(h) be the first derivative of 4*h**3 + 5*h**3 - h**2 - 4*h**3 - h**5 - 4*h**2 + 10. Find m such that b(m) = 0.
-2, 0, 1
Let i = -33 - -37. Let r(x) be the first derivative of 1/16*x**i + 4 + 0*x**2 + 1/20*x**5 + 0*x - 1/6*x**3. Let r(w) = 0. Calculate w.
-2, 0, 1
Let l(i) = -i**2 - i. Let h(s) be the first derivative of -7*s**4 - 22*s**3/3 + 31*s**2 - 16*s + 8. Let z(p) = h(p) - 2*l(p). Find n such that z(n) = 0.
-2, 2/7, 1
Let f(u) be the third derivative of -u**8/224 - u**7/28 - u**6/20 - 185*u**2. Factor f(c).
-3*c**3*(c + 1)*(c + 4)/2
Let k(i) be the second derivative of i**7/14 + 3*i**6/10 - i**4 - 2*i - 10. Factor k(j).
3*j**2*(j - 1)*(j + 2)**2
Let l(a) be the first derivative of 4/5*a**2 + 4*a + 5/6*a**4 + 4 - 4/3*a**3. Let k(v) be the first derivative of l(v). Factor k(p).
2*(5*p - 2)**2/5
Let s(h) be the first derivative of 0*h**3 + 0*h**4 + 8 + 2/75*h**5 + 0*h**2 - 1/45*h**6 + 0*h. Factor s(u).
-2*u**4*(u - 1)/15
Let q = 1133/2975 - 12/119. Let n = q - -51/175. Suppose 2*s + 4/7 - 6/7*s**3 + n*s**2 = 0. What is s?
-1, -1/3, 2
Suppose 5*l - 18 = 2. Suppose 0 = -0*p + 8*p - 96. Let 2*o**l + 0*o**5 + 6*o**2 - 14*o**4 - 3*o**5 + 8*o - p*o**3 + 6 + 7*o = 0. What is o?
-2, -1, 1
Let c be 0 + (-115)/(-25) + 9/(-15). Let g(k) be the first derivative of 4/9*k + 1 + 1/9*k**c + 14/27*k**3 + 7/9*k**2. Suppose g(y) = 0. What is y?
-2, -1, -1/2
Let o = -21 + 37. Let m = 27 - o. Factor -d**2 + d**3 - 4*d**4 - 8*d + 5*d**2 + m*d**3 - 4*d**3.
-4*d*(d - 2)*(d - 1)*(d + 1)
Let j(c) be the first derivative of -c**5/10 + 11*c**4/4 - 31*c**3/2 + 35*c**2 - 34*c + 343. Let j(w) = 0. What is w?
1, 2, 17
Suppose 5*f + 22 + 15 = -r, 31 = -r - 3*f. Let a be -2 - r/3 - 3 - 2. Find o such that -4/3*o**3 - 4/3*o + 1/3*o**4 + 2*o**2 + a = 0.
1
Let m(z) be the third derivative of -z**6/480 + z**5/60 + 25*z**4/96 - 7*z**3/6 - 164*z**2. Factor m(b).
-(b - 7)*(b - 1)*(b + 4)/4
Let c(m) = 6*m**3 - 114*m**2 + 81*m - 18. Let t(f) = 3*f**3 - 58*f**2 + 40*f - 10. Let x(j) = 5*c(j) - 9*t(j). Factor x(p).
3*p*(p - 15)*(p - 1)
Let j(f) be the second derivative of 2*f - 1/30*f**4 - 2/5*f**2 + 0 + 1/5*f**3. What is a in j(a) = 0?
1, 2
Let i(v) be the third derivative of 1/30*v**5 + 0 + 0*v - 1/3*v**4 + v**3 - 22*v**2. Suppose i(x) = 0. Calculate x.
1, 3
Suppose 0 = 4*s - 12, -5*o + 5*s - 8 = -4*o. Let j = o + -7. Factor j*f + 2/7*f**2 - 2/7.
2*(f - 1)*(f + 1)/7
Let a(n) be the second derivative of -7*n + 3/2*n**2 + 13/2*n**3 + 0 + 3*n**4. Factor a(p).
3*(p + 1)*(12*p + 1)
Suppose -c = 5 + 2. Let k = 7 + c. Factor k - 3/5*s + 3/5*s**2.
3*s*(s - 1)/5
Factor 1/5*x**2 - 1/5*x**4 + 0 + 1/5*x - 1/5*x**3.
-x*(x - 1)*(x + 1)**2/5
Let w = 6 + -9. Let i be 4/((0 + 6)*w/(-9)). Factor -12*c**3 - 1/3 - 13/3*c - 16*c**i.
-(c + 1)*(6*c + 1)**2/3
Let j(m) be the first derivative of -m**4/26 + 12*m**3/13 - 33*m**2/13 + 32*m/13 - 347. Let j(g) = 0. What is g?
1, 16
Let j(h) be the third derivative of -h**8/168 + 4*h**7/105 - h**6/15 - h**5/15 + 5*h**4/12 - 2*h**3/3 + 7*h**2 + 2. Factor j(r).
-2*(r - 2)*(r - 1)**3*(r + 1)
Let t = 89 - 84. Let v(m) be the third derivative of 1/30*m**5 + 0*m**3 - 1/120*m**6 + 0 + 0*m - 1/24*m**4 - t*m**2. Find o such that v(o) = 0.
0, 1
Let t(a) = 4*a**4 - 22*a**3 + 30*a**2 - 8*a - 22. Let z(y) = -y**2 - 1. Let k(x) = -t(x) + 6*z(x). Factor k(b).
-2*(b - 2)**3*(2*b + 1)
Let q(s) be the third derivative of -1/80*s**5 + 0*s + 18*s**2 - 1/840*s**7 + 1/6*s**3 + 1/120*s**6 - 1/24*s**4 + 0. What is b in q(b) = 0?
-1, 1, 2
Let i be (-2)/(-3) + 14150/15. Let x = i + -4704/5. Factor 11/5*z**3 - 2/5*z**2 + 0*z + 0 - x*z**4 + 7/5*z**5.
z**2*(z - 1)**2*(7*z - 2)/5
Solve 0*w**2 - 56 - 2*w**2 + 36*w + 8*w**2 - 10*w**2 = 0 for w.
2, 7
Let i(t) be the third derivative of -t**7/5040 - t**6/540 - t**5/144 - t**4/72 - 23*t**3/6 - 27*t**2. Let d(f) be the first derivative of i(f). Factor d(u).
-(u + 1)**2*(u + 2)/6
Let a be -1*(1 - ((-1263)/(-315) - 3)). Let p(f) be the second derivative of 0*f**5 + a*f**6 + 5*f + 1/7*f**2 + 0 - 1/21*f**4 + 0*f**3. Factor p(z).
2*(z - 1)**2*(z + 1)**2/7
Let h(c) be the first derivative of 0*c**3 - 1/7*c**2 + 1/14*c**4 - 19 + 0*c. Find g, given that h(g) = 0.
-1, 0, 1
Let o(s) be the third derivative of s**7/140 + s**6/5 + 87*s**5/40 + 45*s**4/4 + 27*s**3 + 232*s**2 - 1. Factor o(b).
3*(b + 1)*(b + 3)*(b + 6)**2/2
Let k(c) = 3*c**2 + 4*c - 90. Let v(s) = s. Let o(r) = k(r) - v(r). Factor o(b).
3*(b - 5)*(b + 6)
Let b = -2/159387 - -318788/1115709. Factor 6/7*n + 0 - b*n**2.
-2*n*(n - 3)/7
Let v = -3 + 6. Suppose -x - 2 = 0, 2*b - 3*x = 6 + 6. Factor -6*d - d - 4 + 10*d**2 - b*d - 18*d**2 - 2*d**v.
-2*(d + 1)**2*(d + 2)
Let u(d) be the second derivative of -3*d**5/160 - 11*d**4/24 - 175*d**3/48 - 49*d**2/8 + 21*d. Factor u(o).
-(o + 7)**2*(3*o + 2)/8
Factor -1/2*z**4 - 3/2*z - 23/2*z**2 - 9/2*z**3 + 18.
-(z - 1)*(z + 3)**2*(z + 4)/2
Let l = -27/256 - -2129/768. What is t in -26/3*t + 14*t**2 - 10*t**3 + 2 + l*t**4 = 0?
3/4, 1
Let s(k) = 5*k**4 + 14*k**3 + 16*k**2 - 38*k + 3. Let a(i) = -i**4 + 2*i - 1. Let m(f) = -6*a(f) - 2*s(f). Factor m(l).
-4*l*(l - 1)*(l + 4)**2
Let s(j) = -j**3 + 4*j**2 + 16*j - 16. Let l be s(6). Let f = l + -4. Determine n so that 12/7*n**2 + 0 + 4/7*n + 12/7*n**3 + 4/7*n**f = 0.
-1, 0
Let n = 349/485 - 31/97. Solve 0 - n*u**2 + 2/5*u**3 + 0*u = 0 for u.
0, 1
Let d(l) be the first derivative of 0*l - 1/4*l**2 - 1/18*l**3 - 6. Determine p, given that d(p) = 0.
-3, 0
Let a(y) = 843*y**2 + 516*y + 80. Let s(k) = 842*k**2 + 514*k + 80. Let m(t) = 3*a(t) - 2*s(t). Factor m(b).
5*(13*b + 4)**2
Let d be (-2)/2 + (-16 - (-1845)/108). Let o(g) be the third derivative of 0 - 5/12*g**4 - d*g**5 + 0*g + g**2 + 0*g**3. Suppose o(f) = 0. What is f?
-2, 0
Find b such that 5 + 3*b**3 - 44*b + 30*b**2 + 25 - 8*b**3 - 11*b = 0.
1, 2, 3
Let k(y) be the third derivative of -y**5/5 + 31*y**4/8 + 4*y**3 - 86*y**2. Solve k(t) = 0 for t.
-1/4, 8
Suppose -6*u + 36 = 6. Let t be (-5 + u)/(-4 - -2 - 0). Factor 3/2*z**2 + t + 3/2*z.
3*z*(z + 1)/2
Let y(g) be the second derivative of 0 - 64/5*g**2 - 9/25*g**5 - 22*g - 1/75*g**6 - 48/5*g**3 - 97/30*g**4. Factor y(i).
-2*(i + 1)**2*(i + 8)**2/5
Suppose 228*n = 220*n. Let h(w) be the first derivative of n*w**4 + 0*w**2 - 10 + 1/5*w**5 + w - 2/3*w**3. Factor h(z).
(z - 1)**2*(z + 1)**2
Find k, given that -10*k**4 - 1458/11*k**2 + 2/11*k**5 + 0*k + 1566/11*k**3 + 0 = 0.
0, 1, 27
