 t**6/15 + 41*t**5/40 + 23*t**4/12 + 3*t**3/4 + 13*t + 7. Factor d(k).
k*(k + 1)*(k + 9)*(4*k + 1)/2
Factor -27*f**5 + 3*f - 179*f**4 - 120*f**3 - 36*f**2 - 6*f + 62*f**4 + 3*f.
-3*f**2*(f + 3)*(3*f + 2)**2
Factor -12 + 30*q - 34 - 3*q**2 - 29.
-3*(q - 5)**2
Let v(t) be the third derivative of 0 + 0*t + 0*t**5 + 0*t**4 - 9/70*t**7 + 0*t**3 - 1/20*t**6 - 16*t**2 - 1/28*t**8. Suppose v(k) = 0. What is k?
-2, -1/4, 0
Suppose 2*s + 4*k = 5*k + 64, -2*s - 3*k + 64 = 0. Let 7*l - 7*l + l + s*l**2 + 3*l = 0. Calculate l.
-1/8, 0
Let -24*l**2 - 10*l**4 + 3*l**5 + l**5 + 140*l + 230*l**2 + 129*l**3 + 11*l**4 + 36*l**4 + 24 = 0. What is l?
-3, -2, -1/4
Let 21*m**2 + 80*m - 43*m**2 + 26*m**2 + 204 = 0. What is m?
-17, -3
Let k(g) be the second derivative of -g**8/1680 - g**7/210 - g**6/75 - g**5/75 - 41*g**2/2 + 36*g. Let x(c) be the first derivative of k(c). Factor x(b).
-b**2*(b + 1)*(b + 2)**2/5
Let x = 4693/12 + -391. Let w(q) be the first derivative of 2/9*q**3 - x*q**4 + 2 - 1/6*q**2 + 0*q. Solve w(t) = 0 for t.
0, 1
Suppose -4*j = -z - z - 8, 0 = z + 5*j - 10. Let r(t) = -t. Let n be r(z). Factor n + 21/4*u**3 + u - 4*u**2 - 9/4*u**4.
-u*(u - 1)*(3*u - 2)**2/4
Let w(l) = 4*l - 9. Let q be w(-17). Let d = -75 - q. Factor -4/7*h**5 + 8/7*h**3 + 0 + 0*h**d + 0*h**4 - 4/7*h.
-4*h*(h - 1)**2*(h + 1)**2/7
Let w(b) = -2*b - 6. Let f be w(-4). Factor 3*g + 2 - 3*g**2 + 3*g - 2*g**3 - 4*g + g**f.
-2*(g - 1)*(g + 1)**2
Let g(o) be the second derivative of 1/60*o**4 + 22*o + 2/15*o**3 + 0 - 1/2*o**2. Suppose g(q) = 0. What is q?
-5, 1
Let f(l) = 2*l**4 + 13*l**3 + 4*l**2 + 7*l - 21. Let y(o) = -o**4 - 6*o**3 - 2*o**2 - 3*o + 9. Let i(b) = 3*f(b) + 7*y(b). What is q in i(q) = 0?
-2, -1, 0
Suppose -49 = 3*h - 4*h. Determine t so that -h + t**2 + 45 + 6*t - 3*t**2 = 0.
1, 2
Let c = 18 - 15. Factor -5 + 8*w**2 - c*w**2 + 10*w + 5.
5*w*(w + 2)
Let j be 1/4 + (-69)/(-12). Let l be (j/(-10))/((-5)/25). Suppose -3*b**2 - 2*b**l + b**2 + 2*b + 2 - b**2 + b**2 = 0. What is b?
-1, 1
Let c(j) be the first derivative of j**5/285 + 5*j**4/228 + j**3/19 + 14*j**2 + 3. Let q(g) be the second derivative of c(g). Let q(w) = 0. Calculate w.
-3/2, -1
Let n be 8844/1320 + (-9)/2. Let -7/5*w**3 - 2/5 - n*w - 16/5*w**2 = 0. What is w?
-1, -2/7
Suppose 0 = -4*b + 3*a + 11, -b - 2*a = 3*a + 3. Let q be (-7 - -9)*6/b. Suppose -3/2*f**4 + 6 - q*f**3 + 6*f - 9/2*f**2 = 0. Calculate f.
-2, -1, 1
Let i be (5/2)/(70/140). Let r(w) be the second derivative of -9*w + 0*w**3 - 1/24*w**4 - 1/20*w**i + 0*w**2 - 1/60*w**6 + 0. Suppose r(q) = 0. What is q?
-1, 0
Let g(w) = 2*w - 4*w**2 + w**3 - 14 + 0*w**3 - 7*w**2. Let t be g(11). Factor -2 + t*s + s**3 - 6*s**2 - 2*s + s**3.
2*(s - 1)**3
Factor -5/2*b - 3/4*b**2 + 1/4*b**3 + 0.
b*(b - 5)*(b + 2)/4
Let a = 861 - 6025/7. Factor -2/7*v**4 + 0*v + 0*v**2 - a*v**3 + 0.
-2*v**3*(v + 1)/7
Let j(t) be the first derivative of 2*t**6/9 - 16*t**5/15 + 4*t**4/3 + 8*t**3/9 - 10*t**2/3 + 8*t/3 + 109. Suppose j(v) = 0. What is v?
-1, 1, 2
Let r be -6 - -2 - 88/(-20). Let w be 2 - 0*4/4. Factor 2/5 + r*d**w + 4/5*d.
2*(d + 1)**2/5
Let p(y) = 4*y**5 - 12*y**4 - 4*y**3 + 12*y**2 + 4*y + 4. Let j(b) = 4*b**5 - 13*b**4 - 4*b**3 + 13*b**2 + 5*b + 5. Let u(r) = -4*j(r) + 5*p(r). Factor u(f).
4*f**2*(f - 2)*(f - 1)*(f + 1)
Let l(z) = -2*z**3 + 66*z**2 - 52*z - 384. Let j be l(32). Suppose -14/5*d**5 + 0*d**2 + 0 + j*d + 4/5*d**3 - 2*d**4 = 0. What is d?
-1, 0, 2/7
Let r be -2 - (-3)/3 - 5/(-45)*17. Let o be 28/24 - (-2)/(-4). Find i such that o*i**4 - r*i**2 + 2/9 + 4/9*i**3 - 4/9*i = 0.
-1, 1/3, 1
Let u(j) be the first derivative of -2/35*j**5 + 0*j**2 + 0*j + 1/21*j**6 + 0*j**3 + 49 - 1/7*j**4. Factor u(r).
2*r**3*(r - 2)*(r + 1)/7
Let t(a) be the second derivative of 1/35*a**6 - 2/21*a**3 + 1/70*a**5 + 1/147*a**7 - 1/14*a**4 + 0 + 0*a**2 + 13*a. Find v, given that t(v) = 0.
-2, -1, 0, 1
Let z(r) be the first derivative of r**6/36 + r**5/15 - r**4/12 - 2*r**3/9 + r**2/12 + r/3 + 601. Suppose z(o) = 0. Calculate o.
-2, -1, 1
Suppose 0 = -n + 3*h + 19, 3*n - h = -2*n + 25. Suppose -n*y - 18 = 4*g - 2, 20 = -2*y - 5*g. Factor 0*b + y*b**2 + 0 - 3/4*b**3 - 3/4*b**5 + 3/2*b**4.
-3*b**3*(b - 1)**2/4
Let t(i) be the third derivative of -49*i**7/9 - 1813*i**6/180 - 119*i**5/15 - 31*i**4/9 - 8*i**3/9 - 113*i**2. Factor t(p).
-2*(5*p + 1)*(7*p + 2)**3/3
Suppose 2*k + i + 5 = 4*k, 0 = 5*k - 5*i - 5. Let n = 0 + k. Suppose -5*x**4 + 0*x**3 + x**2 - x**3 + x**5 + 4*x**n = 0. What is x?
-1, 0, 1
Let a(l) be the first derivative of l**6/4 - 6*l**5/5 + 9*l**4/8 + 138. What is q in a(q) = 0?
0, 1, 3
Let v be (-2)/17 + -33 + (-21133)/(-595). Factor 4*g - v + 8/5*g**2.
4*(g + 3)*(2*g - 1)/5
Factor -3 - 1/5*w**3 + 1/5*w + 3*w**2.
-(w - 15)*(w - 1)*(w + 1)/5
Let y(m) be the third derivative of 10/3*m**3 + 0*m - 19/12*m**5 + 0 - 7/24*m**6 - 5/3*m**4 - 22*m**2. Suppose y(p) = 0. What is p?
-2, -1, 2/7
Let g = 469291/140 - 23404/7. Let q = g - 49/10. Let q*v**5 + 0 - 29/4*v**4 + 11/4*v**3 - 1/2*v + 5/4*v**2 = 0. Calculate v.
-2/5, 0, 1/3, 1
Let v(l) be the first derivative of -l**6/30 + 2*l**5/25 + 3*l**4/20 - 4*l**3/15 - 2*l**2/5 - 78. Factor v(r).
-r*(r - 2)**2*(r + 1)**2/5
Let r = -11331 - -55996/5. Let l = r + 132. Factor -4/5 - 3/5*q + l*q**2.
(q - 4)*(q + 1)/5
Let p(j) = 3*j**3 + j. Let c(g) = -7*g**3 - g. Let z(l) = 6*c(l) + 15*p(l). Let y(i) = -2*i**3 - 8*i. Let q(m) = -6*y(m) - 5*z(m). Let q(x) = 0. What is x?
-1, 0, 1
Let o(r) be the first derivative of -r**6/10 + 3*r**5/25 + 104. Determine x so that o(x) = 0.
0, 1
Factor 0*k + 4/3 - 1/3*k**2.
-(k - 2)*(k + 2)/3
Let i(j) be the third derivative of 125*j**8/48 + 190*j**7/7 + 241*j**6/3 + 160*j**5/3 - 30*j**4 - 160*j**3/3 - 78*j**2. Find a such that i(a) = 0.
-4, -2, -2/5, 2/7
Let h = -131 + 82. Let g = -47 - h. Suppose -1/5*c**g + 0 + 1/5*c = 0. Calculate c.
0, 1
Let d be 2/(40/42 + 2/(-7)). Suppose -3*z**4 - d + 6*z**2 + 53*z**3 - 53*z**3 = 0. What is z?
-1, 1
Let r be (-1 + 1)/(-7 + 5). Suppose r = -4*x + x. Determine n, given that 2*n**2 - 2*n - n**2 + x*n**2 + 1 = 0.
1
Let u(c) be the third derivative of -c**8/2016 - c**7/315 - c**6/144 - c**5/180 + c**2 + 99*c. Factor u(r).
-r**2*(r + 1)**2*(r + 2)/6
Let m(h) be the third derivative of -h**5/240 - 19*h**4/48 + 13*h**3/8 - 18*h**2. Factor m(w).
-(w - 1)*(w + 39)/4
Let r = 991 + -19817/20. Let b(h) be the second derivative of -9/40*h**5 - 1/28*h**7 + 0*h**3 + 0*h**2 + 4*h - 1/8*h**4 + 0 - r*h**6. Factor b(a).
-3*a**2*(a + 1)**3/2
Factor -1/2*h**2 + 0 - 5/2*h.
-h*(h + 5)/2
Let 2/3 + 4*a**2 + 2/3*a**4 - 8/3*a**3 - 8/3*a = 0. What is a?
1
Let w(g) be the second derivative of g**6/165 - 6*g**5/55 - 5*g**4/22 + 26*g**3/33 + 4*g + 35. Suppose w(f) = 0. Calculate f.
-2, 0, 1, 13
Let n be ((-16)/10)/(4/(-10)). Let b(h) be the second derivative of 0 + 0*h**2 - 2/3*h**6 - 2/5*h**5 + 0*h**3 + 4/3*h**n - 1/7*h**7 + 10*h. Factor b(x).
-2*x**2*(x + 2)**2*(3*x - 2)
Factor -2*m**2 - 2*m**2 + 7*m**2 - 43*m + 2*m**2 + 42 - 4*m**2.
(m - 42)*(m - 1)
Let a(h) = 6*h**2 + 16*h - 1. Let u(d) = 7*d**2 + 16*d - 2. Let r(t) = -4*a(t) + 6*u(t). What is p in r(p) = 0?
-2, 2/9
Let l(u) = u**3 + u**2 + u + 1. Let m(s) = -3*s**3 + s**2 - 5*s - 1. Suppose -4*x - x = 20. Let v(z) = x*l(z) - 2*m(z). Factor v(k).
2*(k - 1)**3
Let i(u) be the first derivative of u**4/8 + 8*u**3 + 144*u**2 - 221. Suppose i(n) = 0. What is n?
-24, 0
Suppose 0 = -a + 3*a - a. Let i(m) be the first derivative of 0*m + a*m**2 + 6 - 2/33*m**3. Factor i(l).
-2*l**2/11
Suppose -191*d + 12 = -195*d. Let j(k) = 5*k + 18. Let w be j(d). Factor 2/9*z**w + 4/9*z**2 + 2/9*z + 0.
2*z*(z + 1)**2/9
Let u(i) be the first derivative of -i**8/3360 + 3*i**7/560 - 11*i**6/360 + 2*i**4/3 - 11*i**3 + 8. Let h(l) be the third derivative of u(l). Factor h(b).
-(b - 4)**2*(b - 2)*(b + 1)/2
Let h = -2703 + 5407/2. Let 0 - 3/2*f**4 + h*f**2 + 0*f + f**3 = 0. Calculate f.
-1/3, 0, 1
Let d = 119 - 131. Let t be 16/d + 1 + 1. Find x such that 0 + t*x**3 - 14/15*x**2 + 4/15*x = 0.
0, 2/5, 1
Let f(c) = -2*c**3 - c**2 + c + 3. Let d be f(-1). Let j(q) be the first derivative of 0*q - 3/2*q**2 + 9/4*q**4 - 2*q**3 + d. Find b, given that j(b) = 0.
-1/3, 0, 1
Let p be -2 + 1/(2/10) - -1. What is g in -2*g**p - 24*g**2 - 6 + 15*g + 5*g + g - g + 12*g**3 = 0?
1, 