*(3*x + 2)
Let d(u) be the second derivative of -u**4/42 + 2*u**3/3 + 15*u**2/7 + 81*u. Factor d(z).
-2*(z - 15)*(z + 1)/7
Suppose 336*q = 667*q - 328*q - 6. Suppose -96*k - 1/2*k**3 + 256 + 12*k**q = 0. Calculate k.
8
Let t(h) be the third derivative of -h**6/30 + 2*h**5/5 + 7*h**4/6 + 60*h**2. Determine g so that t(g) = 0.
-1, 0, 7
Let a(d) be the second derivative of -2/5*d**5 + 0 - 3/4*d**4 - 1/12*d**6 + 7*d - 3/2*d**2 - 2/3*d**3. Let c(y) be the first derivative of a(y). Solve c(q) = 0.
-1, -2/5
Factor -280/3*a + 5/3*a**2 + 5/3*a**3 + 240.
5*(a - 4)**2*(a + 9)/3
Let y = -436 + 440. Let q(w) be the second derivative of 0*w**y + 0 + 0*w**2 - 4*w + 1/60*w**6 - 1/84*w**7 + 1/20*w**5 + 0*w**3. Factor q(f).
-f**3*(f - 2)*(f + 1)/2
Let o(f) be the second derivative of -f**6/30 + 4*f**5/15 - 2*f**4/3 + 4*f**2 - 13*f. Let g(j) be the first derivative of o(j). Factor g(x).
-4*x*(x - 2)**2
Let d(c) be the first derivative of -5*c**3/7 - 99*c**2/14 - 12*c - 28. Solve d(y) = 0.
-28/5, -1
Let q(s) be the second derivative of 2*s**3 - 1/4*s**4 - 17*s - 9/2*s**2 + 0. Factor q(k).
-3*(k - 3)*(k - 1)
Let v(k) be the first derivative of -3*k**4/4 + 6*k**3 + 76. Factor v(c).
-3*c**2*(c - 6)
Let h(u) be the third derivative of -u**7/2205 + u**6/630 + u**5/210 + 156*u**2. Solve h(r) = 0 for r.
-1, 0, 3
Let h(d) be the first derivative of 3*d**5/5 + 27*d**4/4 + 13*d**3 - 135*d**2/2 - 150*d - 168. Find x such that h(x) = 0.
-5, -1, 2
Let y(s) be the third derivative of -s**5/390 - 2*s**4/39 + 3*s**3/13 - 33*s**2. Factor y(o).
-2*(o - 1)*(o + 9)/13
Let r be (-240)/200*(-15)/72. Determine l so that l + 1 - r*l**2 - 1/4*l**3 = 0.
-2, -1, 2
Let h = -314 + 2218/7. Factor -4/7*x**2 + 24/7 + h*x.
-4*(x - 6)*(x + 1)/7
Let f(s) = -13*s**2 - s - 4. Let c be f(4). Let d be ((-1)/4)/(12/c). Determine x so that -d*x**2 + 15*x - 9/2 = 0.
1/3, 3
Let a(q) be the first derivative of -q**3/3 + 11*q**2/2 + 12*q - 184. Solve a(d) = 0.
-1, 12
Suppose -4*b = -3*n - 34, 5*n + 143 = -2*b + 43. Let p = -18 - n. Determine d, given that 5*d**2 - 4*d**2 + p*d**2 = 0.
0
Let j(i) = -279 + i**2 + 6*i + 279. Let k(p) = p**2. Let t = -8 + 7. Let x(l) = t*j(l) - 2*k(l). Let x(d) = 0. What is d?
-2, 0
Let s(m) be the second derivative of -m**9/21168 - m**8/2940 - m**7/1176 - m**6/1260 + 11*m**3/3 - 27*m. Let x(i) be the second derivative of s(i). Factor x(b).
-b**2*(b + 1)**2*(b + 2)/7
Let x(r) = -3*r - 6. Let z be x(-2). Factor 3*g**4 + z*g - g - 4*g**4 + g**2 + g**3.
-g*(g - 1)**2*(g + 1)
Let p(d) = 5 + 259*d - d**2 - 3 - 1 - 258*d. Let s(a) = -3*a**2 + 7*a + 1. Let l = 0 + 1. Let g(w) = l*p(w) - s(w). Find q, given that g(q) = 0.
0, 3
Let u(g) be the second derivative of 1682*g**6/135 + 4988*g**5/45 + 7222*g**4/27 - 344*g**3/9 + 2*g**2 - 131*g. Factor u(i).
4*(i + 3)**2*(29*i - 1)**2/9
Let p(z) be the third derivative of z**10/30240 + z**9/15120 + 5*z**4/12 - 9*z**2. Let k(g) be the second derivative of p(g). Let k(i) = 0. Calculate i.
-1, 0
Let y(n) be the second derivative of 4*n**7/1155 - 17*n**6/660 + 2*n**5/33 - n**4/33 + 19*n**2 - 18*n. Let b(l) be the first derivative of y(l). Factor b(p).
2*p*(p - 2)**2*(4*p - 1)/11
Let x(m) be the first derivative of m**3/3 - 8*m**2 - 36*m - 224. Determine h so that x(h) = 0.
-2, 18
Let 7*q**2 - 1/3*q**3 - 1/3*q**4 + 41/3*q + 20/3 = 0. What is q?
-4, -1, 5
Let k be (-771)/(-36) + (-105)/90 + (-1)/(-1). Suppose 15/2*j + 35/2*j**3 + k*j**2 + 0 + 15/4*j**4 = 0. What is j?
-3, -1, -2/3, 0
Let j(i) be the second derivative of -i**4/8 - 9*i**3/4 + 15*i**2/2 - 2*i + 11. Determine n, given that j(n) = 0.
-10, 1
Let l(j) be the second derivative of 0 - 4/21*j**4 + 2/147*j**7 + 26/21*j**3 + 18*j + 4/105*j**6 - 12/7*j**2 - 6/35*j**5. Factor l(d).
4*(d - 1)**3*(d + 2)*(d + 3)/7
Let y = 37696/5 + -7524. Factor -32/5*b - y*b**2 - 28/5*b**3 + 16/5.
-4*(b + 1)*(b + 2)*(7*b - 2)/5
Let d = 1683 - 50489/30. Let b(w) be the third derivative of d*w**5 + 2*w**2 + 0*w**3 - 1/4*w**4 + 0 + 0*w. Factor b(q).
2*q*(q - 3)
Let g(a) be the first derivative of -a**4/6 - 38*a**3/9 + a**2/3 + 38*a/3 + 245. Let g(x) = 0. Calculate x.
-19, -1, 1
Let x(d) be the third derivative of -1/60*d**6 - 1/210*d**7 - 22*d**2 + 0*d**3 + 0 + 1/60*d**5 + 1/12*d**4 + 0*d. Let x(m) = 0. Calculate m.
-2, -1, 0, 1
Let k(g) be the second derivative of -g**5/120 + g**4/48 + g**3/6 - 9*g**2/2 - 15*g. Let n(f) be the first derivative of k(f). Factor n(i).
-(i - 2)*(i + 1)/2
Let x(b) be the third derivative of 4*b**7/105 + 23*b**6/60 - b**5/5 + 295*b**2. Determine c so that x(c) = 0.
-6, 0, 1/4
Let k(i) be the third derivative of -i**10/50400 + i**9/20160 + i**8/3360 - i**5/6 - 5*i**2. Let f(u) be the third derivative of k(u). Factor f(p).
-3*p**2*(p - 2)*(p + 1)
Let v(l) be the second derivative of -l**7/126 - l**6/30 + l**5/60 + 11*l**4/36 + 2*l**3/3 + 2*l**2/3 + l - 28. Suppose v(h) = 0. Calculate h.
-2, -1, 2
Let x be 0 + ((-23060)/1386 - 10/(-45)). Let q = -168/11 - x. Determine y so that -q*y**2 - 2/7 + y + 3/7*y**3 = 0.
2/3, 1
Suppose -8 = -2*t + d - 3*d, t + 3*d = 0. Let n(w) = w**3 + w**2 + 1. Let v(i) = i**4 + 4*i**3 + 3*i**2 + 3. Let z(s) = t*n(s) - 2*v(s). Factor z(h).
-2*h**3*(h + 1)
Let i(p) be the third derivative of -13/8*p**4 - 23/40*p**6 + 0*p + 27/20*p**5 + p**3 + 1/10*p**7 - 6*p**2 + 0. Factor i(h).
3*(h - 1)**3*(7*h - 2)
Let u be (4/((-16)/(-12)))/((-3)/(-5)). Let x(c) be the first derivative of -2/3*c + 2/9*c**3 - 1/3*c**2 + 1/6*c**4 - u. Factor x(a).
2*(a - 1)*(a + 1)**2/3
Let y = 15 + 0. Factor -y*r**2 - 10 + 10*r**4 - 25*r + 5*r**3 - r**4 - 4*r**4.
5*(r - 2)*(r + 1)**3
Let d(f) = -5*f**2 - 2*f - 8. Let o(h) = h**2 - h + 1. Let q(b) = d(b) + 4*o(b). Let n be q(-4). What is t in 4*t**2 - 20*t**3 + 24*t**3 + t - t - 4 - n*t = 0?
-1, 1
Let q(c) = c**4 + c**3 - c**2 - c. Let d(y) = -y**2 - y**2 - 2 + 4*y**2. Suppose 5*m - 2*l - 13 = 0, 3*m - 1 - 18 = 4*l. Let u(t) = m*q(t) - d(t). Factor u(n).
(n - 1)**2*(n + 1)*(n + 2)
Let w(a) be the second derivative of 3*a**5/5 + 231*a**4/4 + 1653*a**3 - 2523*a**2/2 + a + 34. Determine t so that w(t) = 0.
-29, 1/4
Let w(j) be the second derivative of j**5/40 - 3*j**4/8 + 5*j**3/3 - 3*j**2 - 133*j. Factor w(m).
(m - 6)*(m - 2)*(m - 1)/2
Let y(o) = o**2 - 323*o + 2215. Let j be y(7). Factor -1/4*s**j - 49/4 + 13/4*s**2 - 35/4*s.
-(s - 7)**2*(s + 1)/4
Factor 32/3 + 16/3*j**3 + 1/3*j**4 - 46/3*j - j**2.
(j - 1)**2*(j + 2)*(j + 16)/3
Let s = 12 - 8. Factor 4*b**2 + 4*b - 26*b**2 + s*b**2 - 4*b**3 + 18*b**4.
2*b*(b - 1)*(b + 1)*(9*b - 2)
Suppose -4*p + 18*p - 42 = 0. Let l be -1 + 4/8*p. Solve l + 1/2*t**4 - 2*t + 3*t**2 - 2*t**3 = 0 for t.
1
Let 162 - 18*w + 1/2*w**2 = 0. Calculate w.
18
Suppose 0 = 2*v + 5*v - 14. Let m(j) = j**3 - 2*j**2 - 2*j + 4. Let h be m(v). Factor -13/4*s**2 + 1/4 + h*s + 3*s**3.
(s - 1)*(3*s - 1)*(4*s + 1)/4
Let n(c) be the first derivative of -5/11*c**2 + 2/11*c + 8/33*c**3 + 8. Suppose n(i) = 0. What is i?
1/4, 1
Let q(k) = -k**2 - k - 1. Let i(t) = -16*t**2 + 4*t - 6*t + 10 - 34. Let z(g) = 2*i(g) - 28*q(g). Determine h so that z(h) = 0.
1, 5
Solve 15*k**2 + 80 - 40*k**4 + 105*k**3 + 399*k**5 - 100*k - 394*k**5 - 85*k**2 + 40 = 0 for k.
-1, 2, 3
Let n(q) be the third derivative of q**7/1575 + q**6/75 + 8*q**5/75 + 16*q**4/45 - 595*q**2. Factor n(k).
2*k*(k + 4)**3/15
Let z(c) be the second derivative of c**6/150 - c**5/10 + 7*c**4/20 + 2*c - 19. Solve z(x) = 0 for x.
0, 3, 7
Suppose -5*y + 11 = 1. Let b be ((-4)/7)/(12/(-14)). Factor 2*q**y + b*q + 0.
2*q*(3*q + 1)/3
Let h(z) be the third derivative of 2*z**7/189 - 47*z**6/270 + 58*z**5/135 - 8*z**4/27 - 41*z**2. Solve h(u) = 0 for u.
0, 2/5, 1, 8
Let h(s) be the first derivative of -2*s**5/35 + s**4/7 + 8*s**3/21 - 2*s**2/7 - 6*s/7 + 80. Suppose h(t) = 0. Calculate t.
-1, 1, 3
Let f(z) be the third derivative of z**6/120 + 3*z**5/10 - z**4/8 - 17*z**3/2 - 4*z**2. Let w be f(-18). Solve -1/7*j**w + 1/7*j + 1/7 - 1/7*j**2 = 0.
-1, 1
Let y be (1 + 5)*(-5 - 33/(-6)). Factor -y*q - 9 + 0 + q**2 + 5*q + 1.
(q - 2)*(q + 4)
Let b(v) be the first derivative of -v**6/2 + 21*v**5/5 - 6*v**4 - 16*v**3 - 69. Determine o so that b(o) = 0.
-1, 0, 4
Let c(v) be the first derivative of -v**7/35 - v**6/15 + v**5/30 + v**4/6 + v**2 - 11. Let u(p) be the second derivative of c(p). Factor u(n