ird derivative of -7/24*w**4 + 0 - 1/2*w**3 - 1/12*w**5 + 0*w + 25*w**2 - 1/120*w**6. Factor d(u).
-(u + 1)**2*(u + 3)
Let w(z) = z**3 - 47*z**2 - 55*z + 96. Let o(f) = -24*f**2 - 27*f + 48. Let h(b) = 5*o(b) - 3*w(b). What is a in h(a) = 0?
-2, 1, 8
Factor 1372/11*g + 0 + 2/11*g**5 + 46/11*g**4 + 1274/11*g**2 + 378/11*g**3.
2*g*(g + 2)*(g + 7)**3/11
Let g(j) be the first derivative of -1/15*j**5 + 7/12*j**4 - 8/3*j**2 + 0*j - 8/9*j**3 + 7. Let g(d) = 0. What is d?
-1, 0, 4
Let u(f) be the first derivative of 3*f**4/20 + 2*f**3/15 - 7*f**2/10 + 2*f/5 + 40. Solve u(n) = 0.
-2, 1/3, 1
Let n(k) = 4*k**3 - k**2. Let c(g) = -3*g**3 - 8*g**2 + 18*g. Let v(d) = -5*c(d) - 5*n(d). Solve v(r) = 0 for r.
0, 3, 6
Suppose 0 = -7*t + 236 + 380. Let y = t + -88. Factor y + 4*r**4 + 0*r + 16/3*r**2 + 8*r**3 + 2/3*r**5.
2*r**2*(r + 2)**3/3
Let o(w) be the first derivative of -1/6*w**2 + 1/9*w**3 - 3 + 0*w. Solve o(p) = 0.
0, 1
Let w(z) be the third derivative of -z**7/735 - z**6/60 - z**5/210 + 9*z**4/28 - 6*z**3/7 - 673*z**2. Find p such that w(p) = 0.
-6, -3, 1
Factor 0*s - 2/3*s**5 + 0 + 10*s**2 + 34/3*s**4 - 62/3*s**3.
-2*s**2*(s - 15)*(s - 1)**2/3
Let q(g) be the third derivative of -1/300*g**5 + 0*g + 1/120*g**4 + 4*g**2 + 0*g**3 + 0. Let q(j) = 0. What is j?
0, 1
Suppose -4*k + 31 = -113. Determine b, given that 31*b**2 + 2*b - 5*b**3 - 2*b - k*b**2 = 0.
-1, 0
Suppose -5*t - 198 = -4*w - 26, -3*t = -w + 36. Let i be (2/15)/(w/60). Let 1/6*s**3 - 1/3*s**2 + 0 + i*s**4 + 0*s = 0. What is s?
-2, 0, 1
What is v in -1280 + 2763 - 5*v**4 + 319*v**3 - 79*v**3 - 15483 + 17791*v - 391*v - 3635*v**2 = 0?
1, 7, 20
Let h(x) be the second derivative of 11*x + 0*x**5 + 0 - 1/4*x**4 + 1/3*x**3 + 0*x**2 + 1/30*x**6. Suppose h(f) = 0. Calculate f.
-2, 0, 1
Factor 0*k**4 + 0 - 1/2*k**5 + 0*k + 1/2*k**3 + 0*k**2.
-k**3*(k - 1)*(k + 1)/2
Let l = 34 - 1019/30. Let r(x) be the second derivative of 3/5*x**2 + 4/15*x**3 - x + 0 + l*x**4. Find n such that r(n) = 0.
-3, -1
Let q(l) be the second derivative of l**8/2240 - l**7/560 + l**6/480 - 2*l**3 + 10*l. Let s(a) be the second derivative of q(a). Suppose s(c) = 0. What is c?
0, 1
Let m(c) be the first derivative of -3*c**4/8 - 29*c**3/3 - 17*c**2 + 36*c + 334. Factor m(q).
-(q + 2)*(q + 18)*(3*q - 2)/2
Let a(z) = -z**2 - 2*z + 6. Let k(p) be the third derivative of -p**5/60 + p**4/24 + p**3/6 + p**2 - 10*p. Let m(f) = -a(f) + 2*k(f). Factor m(h).
-(h - 2)**2
Suppose 2*f + 10 = 7*f. Find c, given that c - 2*c + 2*c**2 + 3*c + 2*c**f = 0.
-1/2, 0
Let m(b) = -3*b**4 + 8*b**3 + 2*b**2 - 4*b. Let i(u) = 7*u**4 - 15*u**3 - 5*u**2 + 10*u. Let v(w) = 2*i(w) + 5*m(w). Factor v(s).
-s**3*(s - 10)
Let h(r) = 552*r - 4413. Let g be h(8). What is j in 0*j**2 + 1/5*j + 0 - 1/5*j**g = 0?
-1, 0, 1
Let o(i) be the second derivative of 0 + 1/360*i**5 - 8*i + 0*i**3 + 5/2*i**2 - 1/144*i**4. Let p(v) be the first derivative of o(v). Factor p(w).
w*(w - 1)/6
Factor -45*b**2 - 66*b - 3/2*b**4 - 36 - 27/2*b**3.
-3*(b + 2)**3*(b + 3)/2
Factor -106 - 1100*y + 139*y**3 + 313*y**3 - 280*y**2 - 144 + 8*y**5 - 110*y**4.
2*(y - 5)**3*(y + 1)*(4*y + 1)
Let n(g) be the first derivative of g**7/980 + g**6/1260 - g**5/21 + g**4/7 - 20*g**3/3 - 11. Let z(h) be the third derivative of n(h). Factor z(i).
2*(i - 2)*(i + 3)*(3*i - 2)/7
Solve 64 - 22*b**2 - 16 - 26 + b**3 - b = 0 for b.
-1, 1, 22
Suppose 5*w + 14 = 3*b, 0 = 144*b - 149*b - 4*w + 11. Let k(c) be the first derivative of -1/3*c**3 - b*c**2 - 1 - 9*c. Factor k(u).
-(u + 3)**2
Let k = 101496/7 + -14499. What is x in -4/7 - k*x**2 - 12/7*x + 5/7*x**3 = 0?
-1, -2/5, 2
Suppose 11*y = 13*y - 34. Suppose -p - y = -2*p. Factor p*x**3 - 13*x**3 - 11*x**2 - x**2 + 8*x.
4*x*(x - 2)*(x - 1)
Let x(z) be the third derivative of -12*z**2 + 0 + 1/300*z**5 + 0*z + 0*z**3 - 1/60*z**4. What is v in x(v) = 0?
0, 2
Suppose 4*j = j + 36. Suppose j + 5*k**2 - 4 - 20*k + 7 + 0 = 0. Calculate k.
1, 3
Suppose 5*y + 5*s = 0, -y - 4 = 3*s - 0*s. Let t(u) be the second derivative of -2*u + 1/10*u**5 + 0 + 0*u**3 - 1/6*u**4 + 0*u**y. Solve t(j) = 0 for j.
0, 1
Let f(c) be the second derivative of -7*c**6/120 + 33*c**5/80 - 13*c**4/16 + 7*c**3/24 + 3*c**2/4 + 81*c - 3. Let f(v) = 0. Calculate v.
-2/7, 1, 3
Suppose 24*t - 27 = 15*t. Suppose -5*j = -10, j + 15 = t*d + 4*j. Factor 8/7 + 12/7*n**d + 18/7*n**4 - 22/7*n**2 - 8/7*n.
2*(n + 1)**2*(3*n - 2)**2/7
Factor -2/7*s**2 + 94/7 - 92/7*s.
-2*(s - 1)*(s + 47)/7
Let t(h) be the third derivative of -8/3*h**4 + 32/3*h**3 + 0*h - 1/30*h**6 + 7*h**2 + 0 + 1/840*h**7 + 2/5*h**5. Determine g so that t(g) = 0.
4
Suppose 10*t = 8*t - 38. Let j = t - -22. Find b, given that -9/2*b**j - 9/2*b - 12*b**2 + 3 = 0.
-2, -1, 1/3
Factor 152/13 + 154/13*c + 2/13*c**2.
2*(c + 1)*(c + 76)/13
Factor 33/5*n**2 - 3*n**3 + 0 - 21/5*n**4 + 27/5*n.
-3*n*(n + 1)**2*(7*n - 9)/5
Let n(p) be the third derivative of p**9/16632 + p**8/4620 + p**7/4620 + p**3 - 6*p**2. Let d(z) be the first derivative of n(z). Factor d(j).
2*j**3*(j + 1)**2/11
Let s(u) be the third derivative of u**5/12 - 25*u**4/12 + 125*u**3/6 + 36*u**2. Factor s(f).
5*(f - 5)**2
Let c = -395 - -402. Let s(d) be the first derivative of -2*d**2 + 64/3*d**6 + 8/3*d**3 + 12*d**4 - c + 0*d - 32*d**5. Factor s(o).
4*o*(2*o - 1)**3*(4*o + 1)
Suppose -i**2 + 7*i + 28 + 27 + 20 - 81 = 0. What is i?
1, 6
Let y(i) be the second derivative of i**7/21 + i**6/3 + i**5/10 - 7*i**4/2 - 6*i**3 - i + 137. Suppose y(o) = 0. Calculate o.
-3, -1, 0, 2
Let s(b) be the second derivative of 14*b + 0 + 1/36*b**4 + 2/3*b**2 - 5/18*b**3. Factor s(i).
(i - 4)*(i - 1)/3
Let t be 15/(-5) + 1 + 4. Let x be ((-174)/24)/(t/(-8)). Factor 11*j**2 - x*j**2 + 11*j**2 + 5*j**2.
-2*j**2
Suppose 8*y = 7*y + 3. Solve -y*o - 8*o**2 + 131*o**3 - 265*o**3 - o + 131*o**3 = 0.
-2, -2/3, 0
Suppose 0 = v + 4 + 2. Let d be (-138)/(-18) - (1 + 4/v). What is f in -26/3*f**2 + d*f**4 - 38/3*f**3 + 4/3 + 10/3*f + 28/3*f**5 = 0?
-1, -2/7, 1/2, 1
Let s(v) = -v**2 + 6*v - 1. Let n be s(6). Let m be (14 + (5 - 10))*n/(-3). Suppose 1/3*o**m + 0*o - o**2 + 4/3 = 0. Calculate o.
-1, 2
Let y be ((-207)/60 - -3)/(252/(-105)). Let t(f) be the second derivative of 0*f**2 - 1/12*f**3 + 7*f + y*f**4 + 0. Factor t(j).
j*(9*j - 2)/4
Suppose -4*l = -n - 3, -3*l + 10*n = 8*n + 4. Factor 12/5*j**l + 0*j - 4/5*j**3 + 0.
-4*j**2*(j - 3)/5
Determine k so that 9/2 + 1/2*k**2 + 3*k = 0.
-3
Let x(p) be the third derivative of p**8/1344 - p**7/420 + p**6/1440 + p**5/240 - 5*p**3 + 25*p**2. Let f(o) be the first derivative of x(o). Factor f(u).
u*(u - 1)**2*(5*u + 2)/4
Let l(k) be the second derivative of k**4/3 - 8*k**3/3 + 53*k. Factor l(c).
4*c*(c - 4)
Let x(y) be the third derivative of 0*y**3 - 1/210*y**7 - 1/24*y**6 + 0 + 5/336*y**8 + 1/60*y**5 + 0*y + 0*y**4 - 9*y**2. Factor x(w).
w**2*(w - 1)*(w + 1)*(5*w - 1)
Suppose -24*p + 257 = 161. Find o, given that 0 + 0*o**2 + 27/4*o**3 - 9/2*o**p + 0*o + 3/4*o**5 = 0.
0, 3
Let a(n) be the third derivative of n**5/120 - 7*n**4/24 + 10*n**3/3 - 570*n**2. Find r, given that a(r) = 0.
4, 10
Suppose 23*y - 21*y = -84*y - 7*y. Factor -1/2*x**2 + y + 1/4*x**5 - x**4 + 0*x + 5/4*x**3.
x**2*(x - 2)*(x - 1)**2/4
Let g(d) = 4*d**2 - 27*d - 19. Let z(k) = 7*k**2 - 55*k - 37. Let n(a) = -11*g(a) + 6*z(a). Let v be n(-16). Factor 0 + 2/11*q**v + 0*q**2 + 0*q.
2*q**3/11
Let s = 160 + -315. Let m = 158 + s. What is u in 0 + 3/4*u**m - 3/4*u**4 + 0*u + 0*u**2 = 0?
0, 1
Let f = 59 + -56. Factor -22*v**5 - 4*v**f - 19*v**5 - 20*v**5 + 65*v**5.
4*v**3*(v - 1)*(v + 1)
Let f = -219 + 224. Let t(b) be the third derivative of 0 - 1/15*b**6 + 0*b - f*b**2 - 1/60*b**7 + 0*b**3 - 1/24*b**4 - 11/120*b**5. Factor t(p).
-p*(p + 1)**2*(7*p + 2)/2
Let r(m) be the second derivative of 2/7*m**3 + 1/28*m**4 + 0 + 6/7*m**2 + 18*m. Let r(k) = 0. What is k?
-2
Let o(v) = -2*v**4 - 27*v**3 - 21*v**2 + 41*v. Let a(m) = -m**3 + m**2 - m. Let z(f) = -18*a(f) + 2*o(f). Factor z(i).
-4*i*(i - 1)*(i + 5)**2
Let o = 3 + -1. Suppose -5*b = -o*c + 39, 2*b = 4*c + 17 - 55. Solve -4*d**2 + 2*d + 30*d**3 - c*d**2 - 21*d**3 = 0 for d.
0, 2/9, 1
Let r = -11 - -19. Suppose 0 = -r*k + 19*k - 22. Factor 12*g - 3/4 - 48*g**k.
-3*(8*g - 1)**2/4
Suppose 3*c - 12 + 0 = 0. Let 17*r**3 + 7*r**3 - 1070 + 1070 + 4*r - 16*r**4 - 16*r*