5*(d - 2)*(d + 1)**2/3
Let w(p) be the third derivative of p**9/60480 + p**8/2016 + 5*p**7/1008 + 7*p**5/20 + 25*p**2. Let u(h) be the third derivative of w(h). Solve u(k) = 0.
-5, 0
Let b(t) = 5*t**2 + 25*t - 5. Let o(c) = c**3 - 4*c**2 - 24*c + 4. Let j(u) = -4*b(u) - 5*o(u). Find l such that j(l) = 0.
-2, 0, 2
Let u(p) be the second derivative of -1/16*p**5 + 0*p**2 + 1/6*p**4 + 0 - 1/6*p**3 - 2*p + 1/120*p**6. Factor u(q).
q*(q - 2)**2*(q - 1)/4
Let g(o) = -6*o**3 + 6*o**2 + 10*o + 8. Let l(t) = 2*t**3 - 2*t**2 - 4*t - 3. Let r(p) = 3*g(p) + 10*l(p). Determine k so that r(k) = 0.
-1, 3
Suppose -b - 2*o + 18 = 11, -b + 2 = -3*o. Let l(c) be the third derivative of 0 + 1/20*c**b - 5*c**2 + 0*c - 1/2*c**3 + 0*c**4. Factor l(u).
3*(u - 1)*(u + 1)
Let z be 0 + 3 + (13 - -11). Let q = 46 - z. Suppose -4*t**4 - 25*t**3 + t**4 + 81 + q*t**2 + t**3 - 73*t**2 = 0. What is t?
-3, 1
Let y(f) be the third derivative of -f**7/630 + 5*f**4/12 + 12*f**2. Let m(p) be the second derivative of y(p). Let m(j) = 0. Calculate j.
0
Let p(i) be the second derivative of -i**7/42 + i**5/10 - i**3/6 + 66*i. Factor p(j).
-j*(j - 1)**2*(j + 1)**2
Let c(r) be the second derivative of -r**4/6 - r**3/6 - 3*r. Let l(j) = 2*j**2 + 2*j. Let o(n) = -2*c(n) - 3*l(n). Suppose o(h) = 0. Calculate h.
-2, 0
Let b(r) = r**2 + 3*r + 1. Let c be b(1). Factor 2*t**5 + 7*t**5 - 4*t**5 - 20*t**2 - 9*t**3 + c*t**4 - 11*t**3.
5*t**2*(t - 2)*(t + 1)*(t + 2)
Let b(j) = -5*j**5 + 8*j**4 + 8*j**3 - 2*j**2 - 3*j. Let d be 6/4*-3*8/36. Let q(i) = i**4 + i**3 + i**2 - i. Let v(h) = d*b(h) + 3*q(h). Solve v(l) = 0.
-1, 0, 1
Let j = -9155/3 + 3053. Solve -2*g**4 + j*g**2 - 10/3*g + 2/3 - 6*g**5 + 28/3*g**3 = 0.
-1, 1/3, 1
Let m(i) = -6*i**3 + 5*i**2. Let b(q) = -2*q**2 + 7*q + 2. Let h be b(2). Let s(x) = -18*x**3 + 14*x**2. Let g(u) = h*m(u) - 3*s(u). Factor g(f).
2*f**2*(3*f - 1)
Let s(x) be the first derivative of -20*x + 42*x**2 - 16/3*x**3 - 27. Let s(t) = 0. What is t?
1/4, 5
Let u(w) be the first derivative of 17/33*w**3 - 63/22*w**2 - 3 - 81/11*w - 1/44*w**4. Solve u(t) = 0 for t.
-1, 9
Let t(u) = -u**2 - 25*u + 18. Let z(h) be the first derivative of -h**3/3 - h**2/2 + 46. Let k(l) = t(l) - 4*z(l). Factor k(r).
3*(r - 6)*(r - 1)
Suppose 2 = 4*g - 5*a - 1, 0 = -5*g + 2*a + 25. Suppose 3*t + 4 - g*t + 4*t**3 + 0 - 4*t**2 = 0. What is t?
-1, 1
Let z(t) = 2*t**2 + 9*t + 7. Let q be z(6). Let r = 135 - q. Factor -1/7*a + 0 - 1/7*a**r.
-a*(a + 1)/7
Let l(j) be the second derivative of 0 + 16*j + 0*j**3 + 0*j**2 + 3/4*j**5 + 0*j**4 + 1/6*j**6. Factor l(g).
5*g**3*(g + 3)
Let h(d) be the second derivative of -d**5/8 + 25*d**4/24 + 5*d**3/12 - 25*d**2/4 + 30*d. Factor h(w).
-5*(w - 5)*(w - 1)*(w + 1)/2
Let j be (-1)/3 + 12837/37917. Let s = 5356/1149 + j. Let 0*i + 8/3*i**5 + 7/3*i**3 - 1/3*i**2 - s*i**4 + 0 = 0. Calculate i.
0, 1/4, 1/2, 1
What is n in 0 - 31/3*n**4 - 26/3*n**2 + 2/3*n**5 + 67/3*n**3 + 0*n = 0?
0, 1/2, 2, 13
Let -173*w**3 - w**4 + 160*w**3 + 77*w - 46*w**2 + 13*w**2 + 98 = 0. Calculate w.
-7, -1, 2
Let 5*t + 10/3 - 5*t**3 - 10/3*t**2 = 0. What is t?
-1, -2/3, 1
Let s(p) = -p - 1. Let b(x) = 35*x**2 - 22*x + 6. Suppose 12*f + 5 = 7*f. Let l(u) = f*b(u) - 2*s(u). Determine t so that l(t) = 0.
2/7, 2/5
Let h(x) be the third derivative of x**8/224 - 11*x**7/140 + x**6/2 - 11*x**5/10 - 2*x**4 + 16*x**3 + 350*x**2. What is v in h(v) = 0?
-1, 2, 4
Let y(z) be the first derivative of z**4/16 + 5*z**3/12 - z**2/4 - 6*z - 79. Suppose y(j) = 0. Calculate j.
-4, -3, 2
Let s(i) be the first derivative of -5*i**6/6 - 6*i**5 - 10*i**4 + 10*i**3/3 + 45*i**2/2 + 20*i + 35. Factor s(w).
-5*(w - 1)*(w + 1)**3*(w + 4)
Factor -1352/11 - 2/11*m**2 - 104/11*m.
-2*(m + 26)**2/11
Factor -9/4*u**2 - 9/2*u + 6 + 3/4*u**3.
3*(u - 4)*(u - 1)*(u + 2)/4
What is s in 208/5 + 296/5*s - 1/5*s**4 + 4/5*s**3 + 93/5*s**2 = 0?
-4, -1, 13
Let m(t) be the third derivative of -t**7/42 + t**6/8 + t**5/4 - 55*t**4/24 + 5*t**3 + 13*t**2 - 12*t. Suppose m(d) = 0. Calculate d.
-2, 1, 3
Let v(m) be the third derivative of -m**6/1260 + 3*m**4/28 + 6*m**3/7 - m**2 - 139*m. Let v(x) = 0. What is x?
-3, 6
Let b = -2798 + 25190/9. Suppose b*y + 4/9*y**3 + 0 + 4/3*y**2 = 0. Calculate y.
-2, -1, 0
Let w = -4 - -6. Let d(y) = 28*y + 12*y**2 + 12 - 7*y**2 + 7*y**w. Let g(o) = 11*o**2 + 28*o + 12. Let c(i) = 3*d(i) - 4*g(i). Factor c(t).
-4*(t + 3)*(2*t + 1)
Let 89*q**3 + 20*q**4 + 30 - 51*q**3 + 5*q - 60*q**2 - 53*q**3 = 0. What is q?
-1, 3/4, 2
Let i(m) = -586*m - 1754. Let y be i(-3). Solve 8/9*b**y + 20/9*b**2 - 22/9*b**3 - 2/3*b + 0 = 0.
0, 3/4, 1
Let k be 12 - (12 + 0/11). Solve 6/5*j**2 - 3/5*j**4 + k*j**3 + 0*j - 3/5 = 0 for j.
-1, 1
Let s(i) be the first derivative of -25*i**4/4 + 20*i**3/3 + 55*i**2/2 + 10*i + 72. What is w in s(w) = 0?
-1, -1/5, 2
Let a(g) be the third derivative of g**5/360 - g**3/4 + 75*g**2. Let a(i) = 0. What is i?
-3, 3
Suppose -3*f - 4*f = -28. Suppose f*d**5 - 8*d**2 + 4*d**2 + 12*d - 6*d**4 + 12*d**2 - 16*d**3 - 2*d**4 = 0. What is d?
-1, 0, 1, 3
Let v(i) = -3*i - 1. Let x be v(-7). Suppose -3*t - 7*t = -x. Factor 0*j - 3/4*j**t + 3/4.
-3*(j - 1)*(j + 1)/4
Factor 1/2*l**2 + l**3 + 1/2 - l**4 - 5/4*l + 1/4*l**5.
(l - 2)*(l - 1)**3*(l + 1)/4
Let p(l) be the third derivative of 1/48*l**4 - 1/120*l**6 + 1/3*l**3 + 0 - 1/15*l**5 - 30*l**2 + 0*l + 1/105*l**7 + 1/672*l**8. Suppose p(q) = 0. What is q?
-4, -1, 1
Suppose -24*l + 858 = -22*l. Let o = 5589/13 - l. Factor 18/13*y**5 + 0 - o*y**4 - 22/13*y**3 + 8/13*y**2 + 8/13*y.
2*y*(y - 1)**2*(3*y + 2)**2/13
Let d be 2 - 0*(-4)/16 - -8. Factor 3*s**3 - d + s**2 + 0*s - 4*s**3 + 4*s + 6.
-(s - 2)*(s - 1)*(s + 2)
Let x(k) be the second derivative of -k**7/70 - 4*k**6/25 - 27*k**5/50 - 4*k**4/5 - k**3/2 - 8*k + 9. Factor x(o).
-3*o*(o + 1)**3*(o + 5)/5
Let g(m) be the second derivative of -m**6/75 - 2*m**5/25 - m**4/15 + 4*m**3/15 + 3*m**2/5 - 28*m + 1. Solve g(o) = 0.
-3, -1, 1
Factor -40 + 14*a - 5*a**2 + 17*a + 16*a - 2*a.
-5*(a - 8)*(a - 1)
Let c be 22/132 - (-25)/(-6) - -4. Let g(k) = 2*k**2 + k - 1. Let t be g(1). Factor -6/5*a + c + 3/5*a**3 + 3/5*a**t.
3*a*(a - 1)*(a + 2)/5
Let k(r) = r**2 + 5*r - 1. Let p be k(-6). Suppose -p*j = -3 - 12. Let 7*t**4 + 0*t**3 - 4*t**4 - t**j - 5*t**3 + 3*t**2 = 0. Calculate t.
0, 1
Determine g, given that -18 - 45/2*g**2 - 3/4*g**4 - 27/4*g**3 - 33*g = 0.
-3, -2
Let r(o) be the second derivative of -43*o**6/75 - 643*o**5/50 - 213*o**4/2 - 1045*o**3/3 + 50*o**2 + 45*o - 5. Factor r(z).
-2*(z + 5)**3*(43*z - 2)/5
Suppose 0*m + 8 = -t + 4*m, -4 = t - 2*m. Factor 15*u - u + t - 5 - 13*u**2 + 2*u**3 + 2*u.
(u - 5)*(u - 1)*(2*u - 1)
Let u(k) = -k**3 + 8*k**2 + k - 2. Let r be u(8). Suppose -w = 2*t - 5, 12 = 5*w + 3*t - r. Factor -w*b**3 + 2*b**3 - 2*b**2 + b**4 + 0*b**3 + 0*b**2.
b**2*(b - 2)*(b + 1)
Let f be ((-34)/(-28) - 18/(-63)) + (-54)/(-36). Factor 84/5*a**4 + 36/5*a**5 + 16/5*a**2 + 64/5*a**f + 0*a + 0.
4*a**2*(a + 1)*(3*a + 2)**2/5
Let s be (-2)/6 - 10/(-3). Let m be -3 - ((-1 - 2) + 1 + -1). Factor s*v**2 - 3*v**4 + 0*v**5 + m*v**4 + 3*v**5 + 6*v + 2*v**3 - 11*v**3.
3*v*(v - 2)*(v - 1)*(v + 1)**2
Let y be (-180)/(-640) + 1/(-4). Let s(g) be the third derivative of 1/240*g**5 + 0*g + 0*g**3 + 0 - y*g**4 - 2*g**2. Factor s(r).
r*(r - 3)/4
Let j(p) be the first derivative of -2*p**3/9 + 13*p**2/18 + 5*p/3 + 167. Solve j(m) = 0 for m.
-5/6, 3
Let b(w) be the third derivative of -w**8/40320 - w**7/10080 + w**6/720 + 17*w**5/60 + 19*w**2. Let a(y) be the third derivative of b(y). Factor a(p).
-(p - 1)*(p + 2)/2
Let b(w) be the first derivative of w**5/3 - 5*w**4/4 - 55*w**3/9 + 5*w**2/2 + 50*w/3 - 135. Solve b(y) = 0 for y.
-2, -1, 1, 5
Let s = -44 - -63. Let -12*w**2 + 9*w - 8*w**3 - 8*w**3 + s*w**3 = 0. What is w?
0, 1, 3
Let o(k) be the first derivative of -2*k**3/45 + 154*k**2/15 - 11858*k/15 - 236. Find l, given that o(l) = 0.
77
Let x(b) = -4*b**3 + 2*b**2 + 5*b + 9. Let c(s) = -s + 25. Let n be c(20). Let y(a) = a**3 - a**2 - a - 1. Let w(f) = n*y(f) + x(f). Solve w(o) = 0 for o.
-1, 2
Find d, given that -7*d**3 + 9*d**3 - 129*d + 127*d + 23 + 57 - 80*d**2 = 0.
-1, 1, 40
Let v(w) = 4*w - 92. Let u be v(13). Let x = u + 44. Factor -16/3*f**2 - 4/3*f**3 - x*f + 0.
-4*f*(f + 1)*(f + 3)/3
Let w = -462 + 11553/25. 