+ 15*o**5/17 - 115*o**4/51 + 155*o**3/51 - 39*o**2/17 - 304*o + 2. Factor t(c).
-2*(c - 1)**4*(c + 39)/17
Let i = 245 + -239. Let m(a) be the third derivative of 1/40*a**i + 0*a**4 + 0*a + 0 + 2*a**2 - 1/10*a**5 + 0*a**3. Factor m(q).
3*q**2*(q - 2)
Suppose 0*v**2 + 1/8*v + 1/8*v**5 - 1/4*v**3 + 0*v**4 + 0 = 0. What is v?
-1, 0, 1
Let q(x) be the second derivative of x**10/196560 - x**9/98280 - x**8/21840 - x**4/12 + 10*x. Let w(k) be the third derivative of q(k). Factor w(u).
2*u**3*(u - 2)*(u + 1)/13
Let a(c) be the second derivative of 3*c**5/20 + 3*c**4/4 + c**3 + 13*c + 1. Suppose a(r) = 0. Calculate r.
-2, -1, 0
Let f(z) be the third derivative of -2*z**7/105 + 5*z**6/6 - 23*z**5/5 + 67*z**4/6 - 44*z**3/3 - z**2 - 105*z. Determine l so that f(l) = 0.
1, 22
Suppose 30 = 20*c - 14*c. Solve i**4 - i**c - 6 - 2 + 8 = 0 for i.
0, 1
Let r = -34 - -36. Suppose 3*x - 12 = 3*p, 5*x = r*p - 4*p - 8. Factor 3/2*y**3 + 0*y**2 + x - 2*y + 1/2*y**4.
y*(y - 1)*(y + 2)**2/2
Let t(m) be the third derivative of -m**5/210 - 3*m**4/28 - 6*m**3/7 - 42*m**2. Factor t(d).
-2*(d + 3)*(d + 6)/7
Let s(w) be the first derivative of -w**6/60 - w**5/15 - 5*w**2/2 - 16. Let m(y) be the second derivative of s(y). Factor m(p).
-2*p**2*(p + 2)
Let j(l) be the third derivative of l**6/900 - 5*l**3/6 + 14*l**2. Let u(v) be the first derivative of j(v). Let u(s) = 0. Calculate s.
0
Factor -88/7*q + 4*q**2 - 2/7*q**3 + 80/7.
-2*(q - 10)*(q - 2)**2/7
Let z = 1188 + -1186. Find w, given that w + 5/2 + 1/10*w**z = 0.
-5
Determine o so that -o**2 - 1091 - 262 + 57 - o - 71*o = 0.
-36
Let d(g) be the second derivative of g**9/10080 - g**7/840 + g**5/80 - g**4/12 + 5*g. Let t(o) be the third derivative of d(o). Factor t(n).
3*(n - 1)**2*(n + 1)**2/2
Let s(t) = -2*t + 32. Let h be s(14). Let d(w) be the third derivative of 0 - 1/10*w**5 + 0*w + 1/3*w**h + 3*w**2 - 1/3*w**3. Factor d(k).
-2*(k - 1)*(3*k - 1)
Find s, given that 55*s**2 - 5*s**4 - 16*s**2 - 21*s**3 + 8*s**4 + 11*s - 2*s - 54 = 0.
-1, 2, 3
Let i(s) = 90*s**3 + 2735*s**2 + 5145*s + 2610. Let y(m) = -5*m**3 - 152*m**2 - 286*m - 145. Let c(p) = 3*i(p) + 55*y(p). Factor c(d).
-5*(d + 1)**2*(d + 29)
Suppose -4*t = 2*r - 0*r + 12, 2*r + 36 = 2*t. Let z be 14/r - (-4)/3. Solve -2/3*c**3 + 0*c + 1/3*c**2 + 0 + z*c**4 = 0 for c.
0, 1
Let h(d) = d - 1. Let l(m) = -m**2 + 4*m - 9. Let y(w) = w**2 - 5*w + 8. Let t(j) = -2*l(j) - 3*y(j). Let i(u) = 4*h(u) - t(u). Factor i(r).
(r - 2)*(r - 1)
Factor -361/8*z - 1/8*z**3 - 19/4*z**2 + 0.
-z*(z + 19)**2/8
Suppose 2*l = -2, -x + 5*x - 5 = -3*l. Let p(g) be the first derivative of -5 + 4/3*g - x*g**3 + 7/3*g**2. Factor p(r).
-2*(r - 1)*(9*r + 2)/3
Let q(o) be the second derivative of -33/160*o**5 + 5*o - 3/80*o**6 - 1/16*o**3 - 11/32*o**4 + 3/8*o**2 + 0. Solve q(r) = 0 for r.
-2, -1, 1/3
Let s be 20/(-100) + -1*(-1441)/5. Let n = s + -3742/13. Find r such that 0*r + n*r**4 + 0*r**2 + 0 - 4/13*r**3 = 0.
0, 2
Solve -2*d**4 - 26*d**2 - d**4 + 6398*d**3 - 6440*d**3 - 108 - 252*d - 157*d**2 = 0.
-6, -1
Factor -300/7 - 2/7*k**3 + 10*k + 8/7*k**2.
-2*(k - 5)**2*(k + 6)/7
Let v be 465/(-558) - ((-75)/54 + (-6)/(-27)). Determine q, given that v*q**2 - 2/3*q + 1/3 = 0.
1
Let x = -141 - -142. Let y(w) = -3*w**3 - 27*w**2 - 83*w - 77. Let t(a) = a - 2. Let o(i) = x*y(i) + 2*t(i). Find s such that o(s) = 0.
-3
Let c(o) = -o**4. Let q(f) = 4*f**5 + 10*f**4. Let k be 3 - (-2 - -5) - 6. Let i(m) = k*c(m) + q(m). Let i(t) = 0. Calculate t.
-4, 0
Let v(i) be the second derivative of -i**6/10 + 15*i**5/4 + i**4/4 - 25*i**3/2 + 102*i. Find t such that v(t) = 0.
-1, 0, 1, 25
Let t(k) = k**5 - k**4 + 2*k**3 + k - 1. Let q(h) = -3*h**4 + 12*h**3 - 3. Let p(m) = q(m) - 3*t(m). Suppose p(v) = 0. Calculate v.
-1, 0, 1
Let 335/6*u + 65/3 + 25/6*u**2 = 0. What is u?
-13, -2/5
Factor -12017 + 110 + 12*n + 51*n - 3*n**2 - 176*n - 265*n.
-3*(n + 63)**2
Let c = 12755 - 12752. Factor 1/5*k**5 + 2/5*k**2 + 0*k + 0 + 4/5*k**4 + k**c.
k**2*(k + 1)**2*(k + 2)/5
Let t be 7/(182/550) + 6/(-39). Factor -t*i + i**2 + 2*i**2 + 119 - 119.
3*i*(i - 7)
Let d = -65 + 29. Let m be 0 - -3 - 3/(d/(-28)). Find u, given that m*u**3 + 4/3*u**2 - 8/3*u - 16/3 = 0.
-2, 2
Let y(f) = -f**3 + 11*f**2 - 25*f + 10. Let d be y(8). Let a(k) be the first derivative of 1/3*k**d + 4/9*k**3 + 1/6*k**4 + 7 + 0*k. Solve a(c) = 0 for c.
-1, 0
Let o(d) be the first derivative of 5/4*d**4 - 7 - 5*d + 15/2*d**2 - 5*d**3. Suppose o(f) = 0. Calculate f.
1
Factor 2/3*d**4 + 2/15*d**5 + 14/15*d**3 + 2/5*d**2 + 0*d + 0.
2*d**2*(d + 1)**2*(d + 3)/15
Let j(b) be the second derivative of 2*b**7/735 + b**6/105 - 9*b**2/2 + 8*b. Let r(u) be the first derivative of j(u). What is n in r(n) = 0?
-2, 0
Let b be (-9 - 76/(-8))/((-1)/12) - -9. Factor 0*p**2 - 9/5*p**b + 12/5*p + 3/5*p**4 + 0.
3*p*(p - 2)**2*(p + 1)/5
Suppose -5781*j + 5823*j = 0. Let -1/3*o**3 - 5/3*o**2 + j*o + 0 = 0. What is o?
-5, 0
Let j(n) be the second derivative of 0 - 1/30*n**4 + 0*n**3 + 0*n**2 + 5*n. Factor j(q).
-2*q**2/5
Let t(j) be the third derivative of j**6/40 - 3*j**5/20 - 25*j**4/8 - 21*j**3/2 + 2*j**2 + 55*j. Suppose t(w) = 0. What is w?
-3, -1, 7
Let y(q) be the first derivative of 1/3*q**3 + 5 - 1/6*q**6 + 4*q - 7/4*q**4 - q**5 + 4*q**2. Factor y(t).
-(t - 1)*(t + 1)**2*(t + 2)**2
Let h be (-477)/60 + -4 + 12. Let q(v) be the first derivative of -1/15*v**3 + 0*v - 1/5*v**2 + 3 + h*v**4. Suppose q(k) = 0. Calculate k.
-1, 0, 2
Let v be (1/(-5))/((-17 - -16)/12). Factor 6/5*p + 6/5*p**2 - v.
6*(p - 1)*(p + 2)/5
Let i(p) be the third derivative of -1/600*p**6 + 0*p**3 + 8*p**2 + 0 - 1/525*p**7 + 0*p**4 + 1/150*p**5 + 0*p + 1/1680*p**8. Suppose i(m) = 0. What is m?
-1, 0, 1, 2
Let n be (-1)/(-1) + 127 + -126. Suppose 1/2 + 3/4*y**n + 5/4*y = 0. What is y?
-1, -2/3
Let a(o) be the second derivative of -o**6/10 - 27*o**5/5 - 323*o**4/4 + 18*o**3 + 486*o**2 + 111*o. Factor a(q).
-3*(q - 1)*(q + 1)*(q + 18)**2
Factor 0 + 0*f - 8/7*f**4 - 4/7*f**3 + 5/7*f**5 + 0*f**2.
f**3*(f - 2)*(5*f + 2)/7
Let r(s) = 390*s**2 - 485*s - 1115. Let d(p) = -43*p**2 + 54*p + 124. Let w(k) = 35*d(k) + 4*r(k). Find y, given that w(y) = 0.
-12/11, 2
Let y(t) be the first derivative of t**3/3 - t**2/2 + t + 1. Let x be 2/((-48)/20)*-18. Let w(o) = -18*o**2 + 27*o - 27. Let n(z) = x*y(z) + w(z). Factor n(b).
-3*(b - 2)**2
Let l be 495/198*(-104)/150 - -2. Determine v, given that -2/15*v**2 - 2/15*v + l = 0.
-2, 1
Suppose -3*d = -2*d + 3*w, 13 = 3*d - 4*w. Let b be (-27)/(-18)*(d + -1*1). Determine a, given that -8/3 - 26/3*a**2 + 8*a - 2/3*a**4 + 4*a**b = 0.
1, 2
Let p(n) be the second derivative of 0*n**2 + 0 + 15*n - 1/36*n**3 - 1/120*n**5 - 1/36*n**4. Factor p(s).
-s*(s + 1)**2/6
Let j(d) = 17*d**3 - 32*d**2 + 31*d - 16. Let w(b) = -4*b**3 + 8*b**2 - 8*b + 4. Let k be (25/15)/(1/3) + -1. Let o(l) = k*j(l) + 18*w(l). Factor o(a).
-4*(a - 2)*(a - 1)**2
Let p = 19 + -13. Suppose u - 4*t = 26, 21 - p = -3*t. Factor -3*l - 2*l**4 + 3*l**5 + u*l**2 + l**4 + 2*l**4 - 7*l**4.
3*l*(l - 1)**3*(l + 1)
Let u(k) be the third derivative of 6*k**2 + 1/600*k**6 + 1/150*k**5 + 0 + 0*k - 1/15*k**3 - 1/120*k**4. Solve u(m) = 0.
-2, -1, 1
Let h(i) be the third derivative of 1/5*i**5 - 2/105*i**7 - 2/3*i**4 + 1/15*i**6 - 8/3*i**3 + 0*i - 11*i**2 + 0. What is z in h(z) = 0?
-1, 2
Let x = 36920/11 + -3356. Factor 0 - 2/11*t**3 + x*t**2 - 2/11*t.
-2*t*(t - 1)**2/11
Let 2/3*q**2 + 0 + 1/3*q**3 - q = 0. What is q?
-3, 0, 1
Determine n, given that -338/3 - 455/3*n - 26/3*n**4 + 76/3*n**2 + 1/3*n**5 + 166/3*n**3 = 0.
-1, 2, 13
Let t(k) = k**4 + k**3 + k**2 + k. Let m be 2 - ((2 - 2) + 1). Let w(r) = r**5 - r**4 - 3*r**3 - 5*r**2 - 4*r. Let y(j) = m*w(j) + 3*t(j). Factor y(l).
l*(l - 1)*(l + 1)**3
Let u(g) be the second derivative of -g**7/14 + 6*g**6/5 - 51*g**5/20 - 19*g**4/2 + 42*g**3 - 60*g**2 - 2*g + 234. Suppose u(h) = 0. Calculate h.
-2, 1, 2, 10
Let j(l) be the second derivative of -l**6/6 - 19*l**5/15 - 125*l**4/36 - 34*l**3/9 - 2*l**2/3 - 13*l - 3. Find k such that j(k) = 0.
-2, -1, -1/15
Let h = 170 - 1697/10. Let s = 49/30 - h. Factor -14/3*u - s - 2*u**2.
-2*(u + 2)*(3*u + 1)/3
Let u(b) = 51*b**3 - 738*b**2 - 21*b. Let l(t) = -5*t**3 + 74*t**2 + 2*t. Let k(m) = 21*l(m) + 2*u(m). Suppose k(x) = 0. What is x?
0, 26
Suppose -5*