r b*p**2 + 0 + 4/3*p.
2*p*(p + 2)/3
Factor -10/3*j**3 + 2*j + j**4 + 0 + 1/3*j**2.
j*(j - 3)*(j - 1)*(3*j + 2)/3
Let h(n) be the second derivative of 27*n**5/140 - 111*n**4/14 + 1369*n**3/14 + 80*n + 1. Factor h(a).
3*a*(3*a - 37)**2/7
Let h(r) = 7*r**2 + 225*r + 226. Let m(b) = 150*b**2 + 4725*b + 4745. Let d(c) = -85*h(c) + 4*m(c). Factor d(o).
5*(o - 46)*(o + 1)
Let q(p) be the first derivative of 5*p**6/6 - 2*p**5 + 5*p**4/4 + 59. Factor q(h).
5*h**3*(h - 1)**2
Let i(n) = -3*n + 6. Let d(t) = -2*t + 5. Let s(h) = 4*d(h) - 3*i(h). Let p be s(1). Factor 6/7*v**4 + 10/7*v**2 + 0 - 2*v**p - 2/7*v.
2*v*(v - 1)**2*(3*v - 1)/7
Let m(v) be the first derivative of -v**6/2 + 14*v**5/5 - 13*v**4/3 + 22*v**3/9 - v**2/2 + 543. Let m(w) = 0. Calculate w.
0, 1/3, 1, 3
Let m = 58775/11 + -5341. Solve -m*n - 2/11*n**2 - 72/11 = 0.
-6
Let m be (-456)/(-836) - (-56)/(-143). Factor -6/13 + 2/13*k**3 + 6/13*k**2 - m*k.
2*(k - 1)*(k + 1)*(k + 3)/13
Let h(p) = -p**3 + 1. Let f be h(-1). Let g(j) = -j**2 + 2*j + 1. Let z be g(f). Find v, given that v**2 - 2*v + 1 - z - 3*v**2 = 0.
-1, 0
Let b = 307 + -317. Let j be (-6)/b*5/15. Suppose -j*i**2 + 3/5*i - 2/5 = 0. Calculate i.
1, 2
Suppose h - 3 = c - 7, 2 = -c + 4*h. Suppose -4*j = 8, z - 4*j + c = 17. Factor -24/5*n**2 - 26/5*n**z - 12/5*n**4 + 0 - 2/5*n**5 - 8/5*n.
-2*n*(n + 1)**2*(n + 2)**2/5
Let q(n) = -7*n**4 + 7*n**3 + 3. Let k(d) = 2 - 9*d**3 + 32*d**3 - 17*d**3 - 6*d**4. Let g(h) = 3*k(h) - 2*q(h). Let g(l) = 0. Calculate l.
0, 1
Let q(i) be the third derivative of -7*i**6/900 + 32*i**5/45 - 3611*i**4/180 - 1058*i**3/45 + 1114*i**2. What is p in q(p) = 0?
-2/7, 23
Factor -448*m + 795*m**2 + 4281*m**3 - 23*m**2 - 304 - 4301*m**3.
-4*(m - 38)*(m - 1)*(5*m + 2)
Let k(p) be the first derivative of 2*p**3/15 - p**2 - 48*p/5 - 57. Factor k(i).
2*(i - 8)*(i + 3)/5
Let w(t) be the third derivative of t**5/420 + 34*t**4/21 + 9248*t**3/21 + 263*t**2. Factor w(n).
(n + 136)**2/7
Let p be 9*(14/(-3) - -4)/(-2). Let h(n) be the first derivative of 14*n**2 - 6*n + 6 - 98/9*n**p. Factor h(d).
-2*(7*d - 3)**2/3
Suppose 50*c + 5*r - 5 = 47*c, -4*c = 3*r - 14. Solve -3/2*n**c - 3/2*n - 6*n**2 - 6*n**4 + 0 - 9*n**3 = 0 for n.
-1, 0
Factor -30*u**2 + 10*u + 13*u + 29*u**2.
-u*(u - 23)
Let u be ((-16)/(-56))/(48/336). Factor u + 2*b + 1/2*b**2.
(b + 2)**2/2
Let o(b) = 64*b**4 + 388*b**3 + 1044*b**2 + 260*b - 1756. Let d(t) = 7*t**4 + 43*t**3 + 116*t**2 + 29*t - 195. Let m(g) = -28*d(g) + 3*o(g). Factor m(h).
-4*(h - 1)*(h + 3)*(h + 4)**2
Let h(c) be the first derivative of c**6/1500 - c**5/375 + 19*c**2/2 - 16. Let d(r) be the second derivative of h(r). Solve d(v) = 0 for v.
0, 2
Let g(b) be the second derivative of 42*b - 22/21*b**3 - 121/7*b**2 - 1/42*b**4 + 0. Solve g(m) = 0.
-11
Let g(h) be the third derivative of -1/90*h**5 + 1/12*h**3 + 16*h**2 - 1/144*h**4 + 0*h + 0. Solve g(i) = 0 for i.
-1, 3/4
Let t = 13601/4 + -6799/2. Let -5/8*o + t + 1/8*o**2 = 0. Calculate o.
2, 3
Let n = -764 + 764. Let o(w) be the first derivative of 3/2*w**2 + w**3 + n*w + 1. Factor o(d).
3*d*(d + 1)
Let v(q) be the third derivative of -q**7/42 - 121*q**6/12 - 14881*q**5/12 - 6050*q**4 - 12000*q**3 - 797*q**2. Find p such that v(p) = 0.
-120, -1
Suppose -615 = -c - 610. Let 8/9*w + 8/9*w**4 - 2/9*w**c - 20/9*w**2 - 2/9*w**3 + 16/9 = 0. What is w?
-1, 2
Let y = 23 - 19. Suppose 0*s + s - y = 0. Factor 2*v**4 - 6*v**3 + v**s - 7*v**4 + 3*v**2 + 7*v**4.
3*v**2*(v - 1)**2
Determine o so that 3*o + 5*o - o**5 - 12*o**2 + 0*o**4 + 2*o**3 + 3*o**4 + 12819 - 12819 = 0.
-2, 0, 1, 2
Let x(v) be the third derivative of v**8/112 + v**7/35 - v**6/40 - v**5/10 - 1017*v**2. What is a in x(a) = 0?
-2, -1, 0, 1
Suppose 41*r - 24 = 17. Let u(b) be the first derivative of -3/2*b**2 - 1/3*b**3 + r + 0*b. Factor u(j).
-j*(j + 3)
Let s be (-2 + 4)*(-4)/(4 - 8). Suppose 0*y + y = 2. Find f such that 7*f**3 + 8*f - f**3 + 2*f**4 + s + y*f**3 + 12*f**2 = 0.
-1
Let q be 0 - (10/(-50))/(3*(-1)/(-20)). Let -4/3*k - 2/3*k**4 + 0*k**2 + q*k**3 + 2/3 = 0. What is k?
-1, 1
Let j = 817 + -815. Let y be (-2)/2 + (-10)/(-8). Factor 0*p**3 - 1/4*p**4 + 1/2*p**j - y + 0*p.
-(p - 1)**2*(p + 1)**2/4
Let s(k) be the first derivative of 51/40*k**5 + 11/8*k**3 + 0*k - 63/32*k**4 - 5/16*k**6 - 3/8*k**2 + 1. Factor s(c).
-3*c*(c - 1)**3*(5*c - 2)/8
Let f(k) be the third derivative of -2*k**7/105 - 7*k**6/30 - 4*k**5/15 + 2*k**4 - 49*k**2. Factor f(o).
-4*o*(o - 1)*(o + 2)*(o + 6)
Let i(u) be the first derivative of u**6/105 + u**5/35 - u**4/14 + 23*u - 8. Let h(x) be the first derivative of i(x). Factor h(l).
2*l**2*(l - 1)*(l + 3)/7
Find c, given that -928 - 79*c + 248 + 764*c - 5*c**2 = 0.
1, 136
Let f = -42 - -45. Let d(q) be the second derivative of -5*q + 1/20*q**6 + 1/10*q**5 - 1/4*q**2 - 1/12*q**4 - 1/3*q**f + 0. Let d(c) = 0. What is c?
-1, -1/3, 1
Let x(f) = f**3 + f**2 + f. Let t(h) = -h**3 - 4*h**2 + 0*h**2 - 11*h**2 - 18*h - 20*h**3. Let y(l) = -t(l) - 18*x(l). Factor y(g).
3*g**2*(g - 1)
Let g(w) be the third derivative of 0 - 17*w**2 + 0*w - 1/60*w**4 - 1/100*w**5 + 1/300*w**6 + 0*w**3. Factor g(f).
f*(f - 2)*(2*f + 1)/5
Let r(j) be the second derivative of -j**7/3780 - j**6/324 - j**5/90 - 4*j**3 - 8*j. Let v(x) be the second derivative of r(x). Factor v(k).
-2*k*(k + 2)*(k + 3)/9
Let r be (-1845)/820 + (-9)/(-2). Factor -9/4*l**2 - r*l - 3/4*l**3 - 3/4.
-3*(l + 1)**3/4
Let x(a) be the third derivative of -a**6/480 - 43*a**5/240 - 55*a**4/12 + 121*a**3/6 - 103*a**2 - 2*a. Factor x(i).
-(i - 1)*(i + 22)**2/4
Let s be (2 - 2)/((-2)/2). Let x(t) be the second derivative of s + 6*t + 1/15*t**5 + 0*t**2 + 1/18*t**4 - 1/9*t**3. Factor x(v).
2*v*(v + 1)*(2*v - 1)/3
Let d(w) be the first derivative of w**3/6 + 11*w**2/4 + 122. Determine z so that d(z) = 0.
-11, 0
Let g(n) be the first derivative of n**3/15 + 2*n**2/5 + 4*n/5 + 93. Solve g(p) = 0 for p.
-2
Let w(q) be the second derivative of -q**4/4 - 17*q**3/6 + 3*q**2 + 247*q. Find t, given that w(t) = 0.
-6, 1/3
Solve -3160/13*r**2 - 512/13 - 50/13*r**3 + 2552/13*r = 0.
-64, 2/5
Factor 2/5 + 2/15*l**2 - 8/15*l.
2*(l - 3)*(l - 1)/15
Let w(q) be the second derivative of -1/9*q**6 + q**4 + 8/3*q**2 - 26*q - 44/9*q**3 + 0 + 11/30*q**5. Determine d so that w(d) = 0.
-2, 1/5, 2
Let c(s) be the third derivative of 5*s**8/336 + s**7/105 - s**6/24 - s**5/30 + s**2 + 19. Factor c(i).
i**2*(i - 1)*(i + 1)*(5*i + 2)
Let j be -1*4*138/(-184). Let p(m) be the first derivative of -m**2 - 2/3*m**j - 5 - 4/9*m. Factor p(b).
-2*(3*b + 1)*(3*b + 2)/9
Let s = 4040 - 4037. Factor 9/5*g**2 - 12/5 + s*g**3 - 3*g + 3/5*g**4.
3*(g - 1)*(g + 1)**2*(g + 4)/5
Suppose -28*t + 30*t = 6. Let s(v) be the first derivative of 0*v + 1/22*v**4 - 2/11*v**t - 3 + 2/11*v**2. Factor s(i).
2*i*(i - 2)*(i - 1)/11
Let p be (7/(56/(-12)))/(-14 + -4). Let u(a) be the first derivative of p*a**4 - 1 - 1/6*a**2 - 1/3*a + 1/9*a**3. Factor u(c).
(c - 1)*(c + 1)**2/3
Let f(m) be the first derivative of m**6/6 + 3*m**5/4 + 5*m**4/4 + 5*m**3/6 - 25*m - 26. Let y(h) be the first derivative of f(h). Let y(b) = 0. What is b?
-1, 0
Factor 800/3 + 1040*j + 8/3*j**3 - 106*j**2.
2*(j - 20)**2*(4*j + 1)/3
Find d, given that -36 - 96*d + 14*d**3 - 75*d**4 + 201*d**2 - 9*d**5 - 3*d**5 + 4*d**3 + 0*d**3 = 0.
-6, -2, -1/4, 1
Let i = 75 - 521/7. Let g = 50/63 - i. Factor 0 - 2/9*c - g*c**2.
-2*c*(c + 1)/9
Let v(k) be the first derivative of -k**5/20 + k**3/6 - 7*k - 11. Let r(q) be the first derivative of v(q). Suppose r(z) = 0. Calculate z.
-1, 0, 1
Factor -9/4*n - 3/4*n**3 + 9/4*n**2 + 3/4.
-3*(n - 1)**3/4
Let k(i) be the first derivative of -2*i**5/45 - i**4/9 + 10*i**3/9 + 32*i**2/9 + 32*i/9 - 691. Solve k(c) = 0 for c.
-4, -1, 4
Let y(w) be the first derivative of 80*w**3/3 - 580*w**2 + 4205*w - 112. Suppose y(x) = 0. Calculate x.
29/4
Let l(p) be the second derivative of 1/6*p**6 + 0 + 10/3*p**3 + 11*p - p**5 + 5/6*p**4 - 15/2*p**2. Factor l(h).
5*(h - 3)*(h - 1)**2*(h + 1)
Let t(o) be the first derivative of -1/34*o**4 - 12/17*o - 6 - 13/17*o**2 - 16/51*o**3. Solve t(a) = 0 for a.
-6, -1
Let a(g) = g - 2. Let b be a(10). Suppose -5*o = -z - b - 3, 5*z = -5*o + 35. Find q, given that 7*q - 3*q**2 - 14*q + z*q = 0.
-1, 0
Let d be (-7614)/15390 + 6/10. Factor d*u**4 - 4/19*u - 2/19 