 3/7*x**3.
-3*x*(x + 1)**2/7
Let t(b) be the third derivative of -b**7/7980 - b**6/3420 + b**5/1140 + b**4/228 + 6*b**3 - 13*b**2. Let p(v) be the first derivative of t(v). Factor p(g).
-2*(g - 1)*(g + 1)**2/19
Let s(l) be the second derivative of -l**5/150 + l**4/60 + 13*l**2/2 - 2*l. Let t(u) be the first derivative of s(u). Suppose t(p) = 0. What is p?
0, 1
Factor 30*i**2 + 9*i**3 + 31*i - 1/2*i**4 + 21/2.
-(i - 21)*(i + 1)**3/2
Suppose -10*u = 5971 - 6011. Let a(w) be the second derivative of 5/24*w**u + 1/24*w**6 + 1/168*w**7 + 1/8*w**2 + 1/8*w**5 - 13*w + 5/24*w**3 + 0. Factor a(i).
(i + 1)**5/4
Suppose w = -2*c + 3, -2*c + 157*w + 5 = 156*w. Suppose i - 18 = -2*i. Factor 45 + i*o - 51 - 9*o**c + 9*o.
-3*(o - 1)*(3*o - 2)
Factor 1/5*u**3 + 1/5 - 1/5*u**2 - 1/5*u.
(u - 1)**2*(u + 1)/5
Factor 0 + 3/4*v + 3/8*v**2.
3*v*(v + 2)/8
Let d(p) = -p + 6. Let t(k) = 2*k - 13. Let j(y) = -13*d(y) - 6*t(y). Let q be j(2). Factor -2*s**3 + 16*s**q + 4*s - 11*s**2 - 7*s**2.
-2*s*(s - 1)*(s + 2)
Let v(g) be the first derivative of 0*g - 21 - 5/3*g**3 + 25/2*g**2. Find u, given that v(u) = 0.
0, 5
Let y(o) be the first derivative of -o**2 + 8/5*o**5 - o**4 - 11 + 0*o + o**6 - 8/3*o**3. What is m in y(m) = 0?
-1, -1/3, 0, 1
Factor -6*y**4 - 72/5 - 58*y**2 + 48*y + 2/5*y**5 + 30*y**3.
2*(y - 6)**2*(y - 1)**3/5
Let f(j) be the first derivative of 2*j**5/45 + 5*j**4/3 + 184*j**3/9 + 754*j**2/9 + 338*j/3 + 556. Solve f(w) = 0 for w.
-13, -3, -1
Let w(y) be the second derivative of y**4/20 + y**3/5 + 3*y**2/10 + 125*y. Factor w(s).
3*(s + 1)**2/5
Let p be 27/18*(-1 - 13/(-3)). Suppose -4*z + 7 = -p. Solve -3/5*y**3 - 9/5*y**2 - 6/5 + z*y + 3/5*y**4 = 0.
-2, 1
Let r = -68 - -47. Let a be 6/r - (-455)/49. What is g in 2*g**4 - 70*g**2 - a*g**5 + 78*g**4 - 20*g**3 + 55*g - 10 - 26*g**5 = 0?
-1, 2/7, 1
Let k(m) be the second derivative of m**8/1120 + m**7/560 - m**6/240 - m**5/80 + 17*m**3/6 - 36*m. Let g(w) be the second derivative of k(w). Factor g(z).
3*z*(z - 1)*(z + 1)**2/2
Let t = 207 - 202. Suppose -3*k + 5*h = -10, 4*h - 1 = t*k - 9. Factor 0*w - 2/3*w**3 + k + 2/3*w**2.
-2*w**2*(w - 1)/3
Suppose 0 = -2*n + 4*b - 8*b + 216, -n + 113 = -3*b. Let p = n + -108. Factor 1/3*k**p - 1/3*k**3 + 0 + 0*k.
-k**2*(k - 1)/3
Suppose -15*b + 18*b + 35 = 35. Let 2/7*u**2 + 2/7*u**3 + 0 + b*u = 0. What is u?
-1, 0
Let t(c) be the first derivative of 3*c**4/4 + 3*c**3 - 6*c**2 - 631. Factor t(x).
3*x*(x - 1)*(x + 4)
Let a(m) be the first derivative of 14/3*m**2 + 16/3*m + 54 + 1/6*m**4 + 14/9*m**3. Solve a(k) = 0.
-4, -2, -1
Let x = -410 - -1231/3. Let y(j) be the second derivative of -1/6*j**4 + x*j**3 + 0 - 2*j + 2*j**2. Factor y(f).
-2*(f - 2)*(f + 1)
Let k(m) = 3*m - 19. Let w be k(7). Let p(t) be the first derivative of -1/3*t**w + 1 + 2/9*t**3 - 2/15*t**5 + 1/6*t**4 + 0*t. Solve p(i) = 0.
-1, 0, 1
Solve 141 + 79*m + 99 + 65*m - 49*m + 5*m**2 = 0.
-16, -3
Factor -200/7 + 2/7*o**3 + 160/7*o + 38/7*o**2.
2*(o - 1)*(o + 10)**2/7
Factor -1182*u**2 - 4*u + 1183*u**2 + 7 - 4*u.
(u - 7)*(u - 1)
Let y(t) = t**3 + 5*t**2 + 2*t + 1. Let s be y(-5). Let l be 2/s - 78/(-108). Factor 1/6 + 1/6*u**3 + l*u**2 + 1/2*u.
(u + 1)**3/6
Let k = -4 + 7. Let x be k + (-9)/(-6)*-2. Factor 4*o**2 + o**5 + x*o**2 - o**3 - 2*o**4 + 4*o - 2*o**3.
o*(o - 2)**2*(o + 1)**2
Let m(o) be the third derivative of o**7/1470 - o**6/120 + 3*o**5/140 + o**4/24 - 5*o**3/21 - 92*o**2. Solve m(r) = 0 for r.
-1, 1, 2, 5
Let i(g) = -10*g**2 + 470*g + 620. Let b(h) = -h**2 + 52*h + 69. Let z(j) = 35*b(j) - 4*i(j). Factor z(v).
5*(v - 13)*(v + 1)
Factor -3*v**3 - 12/5*v + 12/5 - 39/5*v**2.
-3*(v + 1)*(v + 2)*(5*v - 2)/5
Let b be (5/35 - (-61)/(-84)) + -3. Let n = b - -23/6. Suppose -n + 1/2*h - 1/4*h**2 = 0. Calculate h.
1
Let b(v) be the second derivative of -v**6/195 - v**5/130 + 2*v**4/39 + 4*v**3/39 + 5*v. Let b(p) = 0. What is p?
-2, -1, 0, 2
Let k(a) be the second derivative of 0*a**5 - 2 + 0*a**2 + 0*a**4 + 1/42*a**7 - a + 0*a**3 - 1/30*a**6. Factor k(x).
x**4*(x - 1)
Let a = 3126/749 - 416/107. Factor 2/7*w**3 + 0*w + 0*w**2 + 0*w**4 + 0 - a*w**5.
-2*w**3*(w - 1)*(w + 1)/7
Let o = 55 - 53. Let h(n) = -7*n**3 + 18*n + 2. Let x(a) = -22*a**3 + 53*a + 7. Let p(m) = o*x(m) - 7*h(m). Find f, given that p(f) = 0.
-2, 0, 2
Let t(r) be the first derivative of -r**7/1680 - r**6/720 + r**3 - r + 36. Let u(w) be the third derivative of t(w). Factor u(i).
-i**2*(i + 1)/2
Let u(v) = -2*v - 5. Let n be u(-9). Let a = n + -10. Find q, given that -4*q**3 - 4*q - 2*q**a + 5*q + 3*q + 2*q**2 = 0.
-2/3, 0, 1
Let h(n) = 3*n**3 - 4*n**3 + n**4 + 5 + 0*n**3 - 4. Let w(t) = -132*t - 21*t**3 + 37 + 198*t**2 - 3 - 69*t**4 - 4. Let v(q) = 6*h(q) - w(q). Factor v(m).
3*(m - 1)*(m + 2)*(5*m - 2)**2
Factor 9/2 - 3*h + 3/8*h**2.
3*(h - 6)*(h - 2)/8
Find q, given that 8*q + 3*q**2 + 2*q**4 + 10*q**3 + 16*q**2 - 13*q**2 + 10*q**2 = 0.
-2, -1, 0
Let k(c) = -5*c**4 + 28*c**3 + 3*c**2 - 30*c - 2. Let d(q) = 35*q**4 - 195*q**3 - 20*q**2 + 210*q + 15. Let j(b) = 2*d(b) + 15*k(b). Let j(n) = 0. What is n?
-1, 0, 1, 6
Suppose -3*l + 36 = 3*l. Suppose 4*w = -5*x + 12, -2*w - 3*x + l = x. Determine q so that q**2 - 6*q - q**2 + w*q**2 = 0.
0, 2
Let a be (-63)/(-14) + 5/10. Let o(q) be the third derivative of 1/75*q**a - 1/100*q**6 - 6*q**2 + 0*q + 0*q**4 + 0 + 1/525*q**7 + 0*q**3. Factor o(g).
2*g**2*(g - 2)*(g - 1)/5
Let r(i) = i**2 - 6*i + 2. Suppose -u = 2*d - 17, -4*d = 3*u + 14 - 53. Let x be r(d). Factor 0 + 1/5*t**x + 0*t.
t**2/5
Let z(y) be the first derivative of y**3/8 - 45*y**2/16 - 81*y/4 - 331. Let z(d) = 0. What is d?
-3, 18
Let a = -212740/9 + 23638. Let -a*k**3 + 0*k + 0 + 4/9*k**2 = 0. Calculate k.
0, 2
Let o = 120119/158256 + -1/11304. Let n = -1/112 + o. Determine q so that -1/4*q**2 - 1/2 + n*q = 0.
1, 2
Let k(v) be the second derivative of -3/7*v**3 + 0 + 13*v + 1/28*v**4 + 15/14*v**2. Factor k(t).
3*(t - 5)*(t - 1)/7
Let t(l) be the second derivative of l**5/90 - l**4/54 - l**3/27 + l**2/9 + l + 147. Solve t(b) = 0 for b.
-1, 1
Let x = 25 + -20. Suppose -2*m + 1 - 7*m + x + 2*m**3 + m**3 = 0. What is m?
-2, 1
Find h such that 0*h + 0 - 17*h**3 + 21*h**2 - 1/3*h**5 + 13/3*h**4 = 0.
0, 3, 7
Let b(i) be the third derivative of 1/225*i**6 + 0*i - 2/525*i**7 + 0*i**3 + 1/75*i**5 + 1/2520*i**8 + 9*i**2 - 1/36*i**4 + 0. Let b(w) = 0. What is w?
-1, 0, 1, 5
Let z(g) = g**3 + 12*g**2 + 9*g - 22. Let x be z(-11). Suppose i - 3 = 4*p + 3, p + 1 = x. Factor -1/8*l - 3/8*l**i + 0.
-l*(3*l + 1)/8
What is k in -4/3*k**5 + 0*k**3 + 8/3*k**2 + 4/3*k + 0 - 8/3*k**4 = 0?
-1, 0, 1
What is y in y**4 - 6*y**3 + 6 + 12*y**2 + 18*y - 11 - 12*y - 8*y**2 = 0?
-1, 1, 5
Let c = 1914 - 1914. Let g(y) be the second derivative of 1/4*y**3 + 0*y**2 + 1/10*y**6 - 1/4*y**4 - 1/28*y**7 + c - 6*y + 0*y**5. Factor g(w).
-3*w*(w - 1)**3*(w + 1)/2
Let o(p) be the first derivative of -21/5*p**4 + 16 - 27/5*p**2 + 12/5*p - 1/5*p**6 + 32/5*p**3 + 36/25*p**5. Factor o(c).
-6*(c - 2)*(c - 1)**4/5
Let p(d) be the third derivative of 18*d**6/5 - 43*d**5/3 + 53*d**4/3 + 2*d**3/3 + d**2 + 317*d. Let p(t) = 0. Calculate t.
-1/108, 1
Let m(h) be the third derivative of h**9/40320 + h**8/6720 + h**7/3360 - 11*h**5/60 + 14*h**2. Let b(d) be the third derivative of m(d). Factor b(i).
3*i*(i + 1)**2/2
Let f(r) = 44*r**4 - 1080*r**3 + 3096*r**2 - 3128*r + 1044. Let j(q) = 9*q**4 - 216*q**3 + 619*q**2 - 626*q + 209. Let g(p) = 5*f(p) - 24*j(p). Solve g(v) = 0.
1, 51
Factor -22/7*d + 2/21*d**3 - 10/3 + 2/7*d**2.
2*(d - 5)*(d + 1)*(d + 7)/21
Let o(m) be the first derivative of -3*m**4/10 + 14*m**3/15 + 18*m**2/5 + 16*m/5 - 718. Factor o(q).
-2*(q - 4)*(q + 1)*(3*q + 2)/5
Let g = 108 + -92. Let j be ((-4)/(-10))/(-2*g/(-360)). Factor j + 1/2*h**3 - 5/2*h**2 + 3/2*h.
(h - 3)**2*(h + 1)/2
Let i(h) be the second derivative of -h**8/672 + h**7/140 - h**5/30 + 11*h**2/2 - h. Let r(b) be the first derivative of i(b). Factor r(w).
-w**2*(w - 2)**2*(w + 1)/2
Determine d so that -22/3*d**3 + 0 - 2*d**4 + 2/3*d**5 + 20/3*d + 2*d**2 = 0.
-2, -1, 0, 1, 5
Let t(h) be the second derivative of h**4/30 + 31*h**3/15 + 84*h**2/5 - 507*h. Solve t(j) = 0.
-28, -3
Let p(j) be the second derivative of -j**7/168 + j**6/15 - 11*j**5/40 + j**4/2 - 3*j**3/8 + 2*j - 577. Find f, given that p(f) = 0.
0, 1,