1*d + 26. Factor l(r).
3*(r - 7)*(r + 2)/2
Let j be ((456/40)/(-19))/(2/(-10)). Factor 2/3*k + 7/3*k**2 + 0 - 4/3*k**j.
-k*(k - 2)*(4*k + 1)/3
Let o(l) = 5*l**4 + 17*l**3 + 16*l**2 - 29*l - 3. Let g(r) = 26*r**4 + 86*r**3 + 80*r**2 - 144*r - 16. Let m(j) = 3*g(j) - 16*o(j). Factor m(p).
-2*p*(p - 1)*(p + 4)**2
Let x(o) be the second derivative of 1/2*o**5 + 5/2*o**2 + 36*o + 0 + 5/21*o**7 - 10/3*o**3 + 5/3*o**4 - 5/6*o**6. Factor x(m).
5*(m - 1)**3*(m + 1)*(2*m - 1)
Let l(v) be the first derivative of -v**6/360 + v**5/180 + v**4/72 - v**3/18 - 10*v**2 + 23. Let r(x) be the second derivative of l(x). Factor r(a).
-(a - 1)**2*(a + 1)/3
Let z(k) = 3*k**2 + 6*k + 9. Let d(n) = -13*n**2 - 24*n - 36. Let o(f) = -2*f - 6. Let l be o(-2). Let p(m) = l*d(m) - 9*z(m). Factor p(v).
-(v + 3)**2
Let r be (18 + (-1 - -1))*(-9)/(-2). Suppose 86*h - 10 = r*h. Factor 18/5 + 2/5*d**h + 12/5*d.
2*(d + 3)**2/5
Suppose -q = -2*o - 5, q - 5*q - o = -11. Let 19*f + 15*f - 3*f**4 - 48 - 7*f + 45*f - 18*f**q - 3*f**2 = 0. Calculate f.
-4, 1
Let y(c) be the second derivative of c**5/5 - c**4 + 2*c**3 - 2*c**2 - 116*c. Suppose y(w) = 0. What is w?
1
Factor -6/17 - 2/17*y**2 + 8/17*y.
-2*(y - 3)*(y - 1)/17
Let a(p) be the second derivative of 13*p**4/16 - 19*p**3/8 + 9*p**2/4 - 86*p. Let a(i) = 0. Calculate i.
6/13, 1
Let h be -4*(1 + 69/14 + -6). Factor h*d - 2/7*d**2 + 0.
-2*d*(d - 1)/7
Solve 3/2*z**2 + 27/2 - 15*z = 0 for z.
1, 9
Let s(j) be the second derivative of -32*j**2 - 14/3*j**4 + 62/3*j**3 - 1/5*j**5 + 15*j + 1. Let s(d) = 0. Calculate d.
-16, 1
Let n be (-16)/(-36)*6/20*3. Let b(h) be the first derivative of -6 - n*h - 3/5*h**2 - 1/10*h**4 - 2/5*h**3. Factor b(g).
-2*(g + 1)**3/5
Let c(d) be the first derivative of d**4/10 - 8*d**3/15 - 3*d**2/5 + 36*d/5 + 45. Factor c(q).
2*(q - 3)**2*(q + 2)/5
Let n(u) be the first derivative of -u**4/15 - 4*u**3/15 + 6*u**2/5 - 5*u - 8. Let t(w) be the first derivative of n(w). Factor t(y).
-4*(y - 1)*(y + 3)/5
Factor -9*b**3 - 3/7*b**5 + 0 - 30/7*b**2 - 36/7*b**4 + 0*b.
-3*b**2*(b + 1)**2*(b + 10)/7
Let w be (190/25 + -7)*15/27. Suppose -5*t = 4*m - 3*m - 28, 0 = 2*t - 10. Factor -1/3 + w*r**2 + 1/3*r**m - 1/3*r.
(r - 1)*(r + 1)**2/3
Let d(z) = -4*z**3 - z**2 - 2*z. Let v be d(2). Let o = v - -60. Factor 5*l - l + o*l**2 - 16*l**2.
4*l*(l + 1)
Suppose 162/13*i**4 - 24/13*i + 0 - 558/13*i**3 + 224/13*i**2 = 0. What is i?
0, 2/9, 3
Let k(a) be the third derivative of -1/8*a**4 - a**3 + 1/20*a**5 + 12*a**2 + 0 + 0*a. Suppose k(j) = 0. What is j?
-1, 2
Suppose 0 = 13*x - 28*x + 45. Let s(q) be the first derivative of 1/16*q**4 - 5 + 1/8*q**2 + 0*q - 1/6*q**x. Find h such that s(h) = 0.
0, 1
Let n be (-112)/1008*(-20)/6. Let s(x) be the first derivative of -4/9*x - 8 + 1/3*x**2 + n*x**3. Factor s(c).
2*(c + 1)*(5*c - 2)/9
Let z(y) be the third derivative of y**6/420 + 2*y**5/5 + 21*y**4 - 41*y**2 + 2*y. Factor z(q).
2*q*(q + 42)**2/7
Suppose 112*a - 1237 + 1237 = 0. Factor a + 4/3*i**2 + 20/3*i.
4*i*(i + 5)/3
Let c = -1838/55 - -168/5. What is x in c + 50/11*x**4 + 92/11*x**2 - 120/11*x**3 - 24/11*x = 0?
1/5, 1
Let q be (-1 - 1)*-7 - (4 + -1). Let u(k) = k**3 - 9*k**2 - 24*k + 22. Let i be u(q). Factor -1/2*v**3 - 1/2*v**2 + 0 + i*v.
-v**2*(v + 1)/2
Let k be 8/28 - 9/(189/(-78)). Let p(q) be the second derivative of 1/15*q**6 + 0*q**k - q**2 + 1/5*q**5 - 2*q + 0 - 2/3*q**3. What is b in p(b) = 0?
-1, 1
Let n(s) be the second derivative of s**7/126 + 8*s**6/45 + 22*s**5/15 + 16*s**4/3 + 8*s**3 - 22*s. Suppose n(j) = 0. Calculate j.
-6, -2, 0
Let w(f) be the second derivative of 3*f**5/20 - 19*f**4/6 - 5*f**3/2 + 13*f**2 - 3*f + 5. Suppose w(a) = 0. Calculate a.
-1, 2/3, 13
Let x(d) = -5*d**3 + 82*d**2 - 11*d - 98. Let t(k) = 2*k**3 - 27*k**2 + 4*k + 33. Let h(i) = 8*t(i) + 3*x(i). Let h(n) = 0. What is n?
-30, -1, 1
Suppose -6*b + 38 = -10. Suppose 18 - b = 5*u. Let 1/5*t**u - 2/5*t + 0 = 0. Calculate t.
0, 2
Let v(q) be the first derivative of -13 + 4/45*q**5 + 1/18*q**2 - 1/9*q**4 + 2/9*q + 1/18*q**6 - 2/9*q**3. Solve v(g) = 0 for g.
-1, 2/3, 1
Let l(r) be the third derivative of -r**8/672 + r**6/60 + r**5/60 - r**4/16 - r**3/6 - 33*r**2. Factor l(x).
-(x - 2)*(x - 1)*(x + 1)**3/2
Let l(z) = -108*z**3 + 1736*z**2 - 7516*z + 2304. Let v(g) = 12*g**3 - 193*g**2 + 835*g - 256. Let p(n) = 3*l(n) + 28*v(n). Factor p(k).
4*(k - 8)**2*(3*k - 1)
Let p(f) be the second derivative of -6*f**3 + 14/15*f**6 + 7*f - 5/3*f**4 + 0 - 4*f**2 + 9/5*f**5. What is i in p(i) = 0?
-1, -2/7, 1
Suppose -4*i + 2*i = 0. Let u = 2 + i. Determine x, given that 5*x**2 + 23*x + 3*x**u - 27*x + 4*x**5 - 8*x**4 = 0.
-1, 0, 1
Suppose 0 = -2*w + 3*s - 8, 56*s = 4*w + 53*s + 4. Find r, given that -2/9*r**3 - 2/9*r - 4/9*r**w + 0 = 0.
-1, 0
Let 57*t**3 + 4*t**5 + t**2 - t**4 - 5*t**5 - 48*t**3 + 12*t - 32*t + 12 = 0. What is t?
-3, -2, 1, 2
Solve 28/9*r - 112/9*r**3 - 556/9*r**2 + 40/9 = 0.
-5, -1/4, 2/7
Suppose -4*r + 2*b = -18, 3*r = 5*r - 3*b - 19. What is m in -2*m - 1 - 2*m**3 - 4*m**r + 1 + 0 = 0?
-1, 0
Let u(z) be the third derivative of -z**6/480 - 13*z**5/40 - 169*z**4/8 - 2197*z**3/3 + 28*z**2 - 1. Factor u(j).
-(j + 26)**3/4
Let q = -8 - -10. Let g be 6/(-12) - (-25)/q. Factor 522 + 3*u**5 - g*u**2 - 522 + 3*u + 18*u**3 - 12*u**4.
3*u*(u - 1)**4
Solve 841/4 + 29/2*y + 1/4*y**2 = 0.
-29
Let a(t) be the first derivative of 0*t + 0*t**3 + 14 - 1/12*t**4 + 0*t**2. Factor a(r).
-r**3/3
Suppose 7*s = 6*s. Suppose -3*i + 4*i - 6 = s. Suppose -5*a**3 + a**3 + i*a**3 = 0. What is a?
0
Let k(h) = -h**2 - 61*h + 192. Let p be k(-64). Let j(l) be the second derivative of -1/3*l**3 + 0 + 1/12*l**4 + p*l**2 + 8*l. Factor j(w).
w*(w - 2)
Solve 12/11 + 2*v - 2/11*v**3 + 8/11*v**2 = 0.
-1, 6
Let r(y) be the first derivative of -y**6/12 - 19*y**5/2 - 185*y**4/4 - 275*y**3/3 - 365*y**2/4 - 91*y/2 - 533. Factor r(k).
-(k + 1)**4*(k + 91)/2
Let d(y) be the second derivative of -y**4/6 - y**3 + 10*y**2 - 2*y. Determine p, given that d(p) = 0.
-5, 2
Let a(g) be the second derivative of g**8/1400 - g**7/700 - g**6/75 + g**5/25 + 14*g**3/3 + 4*g. Let o(h) be the second derivative of a(h). Factor o(s).
6*s*(s - 2)*(s - 1)*(s + 2)/5
Let c(w) = -5*w**4 + 75*w**3 + 520*w**2 + 860*w + 350. Let l(h) = -h**4 - h**3 + h**2 + 1. Let q(t) = -c(t) - 10*l(t). Find s such that q(s) = 0.
-2, -2/3, 9
Solve 55/3*x**4 - 20*x + 0 + 380/3*x**2 - 95*x**3 = 0 for x.
0, 2/11, 2, 3
Suppose 2*u - 3*h = 6, -20 = 3*h + 2*h. Let v = u - -8. Determine l so that 2*l**v + 3*l**3 - l**3 - 2*l**4 + 3*l**4 - 5*l**4 = 0.
0, 1
Let o = 513 + -508. Let w(b) be the first derivative of 0*b - 2/5*b**o + 4 + 2/3*b**3 + 1/2*b**4 - b**2. Factor w(j).
-2*j*(j - 1)**2*(j + 1)
Factor -27/4*b + 3/4*b**2 - 15/2.
3*(b - 10)*(b + 1)/4
Suppose 4*d + 13 - 5 = a, 5*a - 5*d = 25. Suppose -y = 3*j - 0*j - 250, a*j = 3*y + 355. Suppose -s**4 - j*s**3 + 85*s**3 + 8*s**5 - s**4 = 0. What is s?
0, 1/4
Let m(z) be the first derivative of z**8/1680 - z**7/280 + z**6/360 + z**5/40 - z**4/12 - 25*z**3/3 - 12. Let q(h) be the third derivative of m(h). Factor q(f).
(f - 2)*(f - 1)**2*(f + 1)
Let t(a) be the first derivative of -3/35*a**5 + 9/28*a**4 + 0*a + 0*a**3 + 15 - 6/7*a**2. Suppose t(z) = 0. What is z?
-1, 0, 2
Let b(v) = -7*v**2 + 9*v - 10. Suppose -32 = -5*i - 3*i. Let r(g) = -15*g**2 + 18*g - 21. Let c(w) = i*r(w) - 9*b(w). Let c(p) = 0. Calculate p.
1, 2
Let i(m) be the first derivative of -1/12*m**4 + 12 - 25/2*m**2 + 5/3*m**3 + 125/3*m. Factor i(p).
-(p - 5)**3/3
Let t(j) be the first derivative of -j**3/8 + 33*j**2/8 + 69*j/8 + 62. Find a such that t(a) = 0.
-1, 23
Suppose 0 = -3*g + 3 - 0. Suppose -3*h + 26 = -5*c, -8*h + 9*h + 3*c = -10. Determine r so that -h*r**2 - 1 - 6 + g - 8*r - 2 = 0.
-2
Let g(b) be the first derivative of -417/20*b**4 - 408/25*b**5 - 24/5*b**6 + 13 - 63/5*b**3 - 3/5*b - 39/10*b**2. Find n such that g(n) = 0.
-1, -1/3, -1/4
Let g(p) = 13*p**3 - 13*p. Let i(s) be the second derivative of 7*s**5/20 - 7*s**3/6 - 28*s. Let c(u) = -6*g(u) + 11*i(u). Let c(v) = 0. Calculate v.
-1, 0, 1
Let m(c) be the third derivative of -c**6/120 + c**5/30 - c**4/24 + 79*c**2. Factor m(g).
-g*(g - 1)**2
Let d be 4/(-52)*(-15)/((-15)/(-2)). Let 2/13*l + d*l**2 + 0 = 0. What is l?
-1, 0
Factor 69*y + 6*y**3 + 123/2*y*