b(r) = -4*d(r) + 5*t(r). Factor b(k).
-(k + 12)**2
Suppose -25 = -9*m - 7. Let r be (-93)/(-18) + -6 - (1 - m). Find o, given that -1/6*o**2 + r*o + 1/6 - 1/6*o**3 = 0.
-1, 1
Find k, given that 0 - 20/7*k - 36/7*k**3 + 66/7*k**2 - 10/7*k**4 = 0.
-5, 0, 2/5, 1
Let f(t) be the second derivative of t**5/5 + 2*t**4 + 16*t**3/3 - 28*t. Determine j so that f(j) = 0.
-4, -2, 0
Let x = -11 - -14. Suppose 4*j + x = 11. Find p, given that -3*p**4 + 6*p**j + 7*p**2 - 3*p**2 - 4*p**2 - 3 = 0.
-1, 1
Let i be 2/(-18) - (8 + (-98)/12). Let j(t) be the second derivative of 0*t**2 - 3*t + i*t**4 - 1/18*t**3 + 0 - 1/60*t**5. Factor j(o).
-o*(o - 1)**2/3
Let x(h) be the first derivative of h**4/6 - 10*h**3/9 - 2*h**2 - 240. Let x(q) = 0. What is q?
-1, 0, 6
Suppose 18*m - 15*m = 51. Suppose -31*b + 28 = -m*b. Factor 6/7*h - 3/7 - 3/7*h**b.
-3*(h - 1)**2/7
Suppose -5 = 4*v - 5*m, 3 = 2*v - 2*m + 7. Let a be 3/v*6/81*-3. Factor -2/15*g**2 + 0*g + 4/15*g**3 - a*g**4 + 0.
-2*g**2*(g - 1)**2/15
Let c(v) be the first derivative of v**5/40 - 43*v**4/32 + 83*v**3/24 - 41*v**2/16 + 434. Factor c(z).
z*(z - 41)*(z - 1)**2/8
Let y = 8 - 5. Suppose y*m - 9 = -0*m. Let 9*w - 4*w + m - 3*w**2 - 5*w = 0. What is w?
-1, 1
Factor 3149280/13*p**2 - 58320/13*p**3 + 540/13*p**4 - 85030560/13*p + 918330048/13 - 2/13*p**5.
-2*(p - 54)**5/13
Suppose 0 = -2*r + 5*t - 0*t - 13, r - 3*t + 9 = 0. Let g be r/(-5)*10/(-3). Suppose -6*o**3 - 3*o**2 + o**g + 10*o**3 - 3*o - o**3 + 2*o**4 = 0. What is o?
-1, 0, 1
Let a(d) = 4*d**3 - d**2 - d - 1. Let q(o) = -55*o**3 + 300*o**2 - 255*o - 20. Let r(g) = -30*a(g) - q(g). Factor r(z).
-5*(z - 1)*(z + 5)*(13*z + 2)
Factor -34*m**2 - 29*m**3 + 15*m**2 + 24*m**5 - 22*m**5 + 9*m**4 + 9*m**3 + 7*m**2.
m**2*(m - 2)*(m + 6)*(2*m + 1)
Find g, given that -4/3 + 14/9*g - 2/9*g**2 = 0.
1, 6
Let m(u) be the second derivative of 14*u**7/3 + 77*u**6/5 - 97*u**5/5 - 3*u**4/2 + 6*u**3 - 61*u. Let m(i) = 0. What is i?
-3, -2/7, 0, 3/7, 1/2
Let 92*j**2 + 44*j**4 - 7*j**5 + 60*j - 304*j**2 + 73*j**3 - 78*j**3 = 0. Calculate j.
-2, 0, 2/7, 3, 5
Let c(n) = -n**2 + 5*n - 2. Let k be c(3). Let y(g) be the first derivative of 1/6*g**k + 0*g**2 - 1/9*g**3 + 0*g - 1/15*g**5 + 2. Factor y(t).
-t**2*(t - 1)**2/3
Let w(c) be the third derivative of c**7/735 + 2*c**6/105 + 11*c**5/105 + 2*c**4/7 + 3*c**3/7 - 29*c**2 - c. Determine r so that w(r) = 0.
-3, -1
Let i(w) be the third derivative of 5/9*w**3 + 0*w + 35/72*w**4 + 11*w**2 + 0 - 1/9*w**5. Let i(g) = 0. What is g?
-1/4, 2
Let o(z) be the first derivative of -3*z**4/20 - 27*z**3/5 - 81*z**2/2 - 567*z/5 - 80. Solve o(f) = 0.
-21, -3
Let u = -1 - 3. Let f(b) = -193*b - 1 - 4*b**3 + 197*b + 1. Let m(c) = -4*c**3 + c**2 + 5*c. Let q(y) = u*m(y) + 3*f(y). Factor q(h).
4*h*(h - 2)*(h + 1)
Let m = 16 - 10. Let u be (5/75)/(m/20). What is v in 0 + 0*v - u*v**2 = 0?
0
Let c(i) = -i - 3. Let d be c(-7). Suppose 3*t - 5*h - 10 = 0, 3*h - d = t - 10. Factor t*o**3 + 3*o**2 - 5 + 5 + 3*o**3.
3*o**2*(o + 1)
Let x(s) be the third derivative of s**5/240 + 5*s**4/96 + s**3/6 - 214*s**2 - 1. Factor x(d).
(d + 1)*(d + 4)/4
Let a(c) be the second derivative of -c**7/18 + 22*c**6/45 - 2*c**5/3 - 17*c**4/18 + 47*c**3/18 - 5*c**2/3 - 2*c + 40. Determine u so that a(u) = 0.
-1, 2/7, 1, 5
Suppose 0 = u + 4*v + 6 - 1, -u - 3 = 3*v. Suppose 0*m - 6 = -3*m + 3*h, 0 = h + 2. Factor m*s**u + 0*s - 1/4*s**4 - 1/4 + 1/2*s**2.
-(s - 1)**2*(s + 1)**2/4
Let p(f) be the second derivative of -5*f**4/12 - 695*f**3/3 - 96605*f**2/2 - 16*f - 1. Let p(l) = 0. Calculate l.
-139
Let u(k) be the second derivative of -k**6/10 - 33*k**5/20 - 8*k**4 - 14*k**3 - 10*k + 8. Determine a so that u(a) = 0.
-7, -2, 0
Let n(j) be the second derivative of j**6/90 + 7*j**5/30 + 23*j**4/12 + 70*j**3/9 + 50*j**2/3 + 5*j + 4. Let n(i) = 0. Calculate i.
-5, -2
Let g(y) be the second derivative of -3*y**5/8 + 755*y**4/24 - 125*y**3/6 + 71*y - 3. Find h such that g(h) = 0.
0, 1/3, 50
Let n(z) be the third derivative of 1/60*z**7 + 0*z - 11/240*z**6 - 1/672*z**8 + 1/24*z**5 + 0*z**3 - 2*z**2 + 0*z**4 + 0. Let n(h) = 0. What is h?
0, 1, 5
Suppose h + 31 = a, -3*a - 4*h - 38 = -152. Let 8*w**4 - 2*w**3 - 16 + 9*w - 3*w + a*w - 2*w**5 + 0*w**3 - 28*w**2 = 0. Calculate w.
-2, 1, 2
Suppose 112 = -2*o - 2*o. Let l = o + 32. Determine c so that 10*c**3 + 2*c - 9*c**l + c - 9*c**2 - c + 4*c**3 + 2*c**5 = 0.
0, 1/2, 1, 2
Factor 368 + 69*a**2 - 175*a - 197*a + 119*a**2 - 184*a**2.
4*(a - 92)*(a - 1)
Let g = 272 - 270. Let j = 114 + -566/5. Factor -j - 2/5*z**g - 6/5*z.
-2*(z + 1)*(z + 2)/5
Let h(c) be the second derivative of 0 + 0*c**2 - 9*c + 1/4*c**4 - 1/2*c**3. Let h(v) = 0. What is v?
0, 1
Let p(v) be the first derivative of v**3/2 - 81*v**2/4 + 108*v + 758. What is o in p(o) = 0?
3, 24
Let w(d) be the third derivative of -d**5/24 + 5*d**4/8 - 15*d**3/4 - 408*d**2. Factor w(k).
-5*(k - 3)**2/2
Let d(t) be the third derivative of 27*t**8/112 + 27*t**7/7 + 45*t**6/2 + 58*t**5 + 80*t**4 + 64*t**3 - 2*t**2 - t. Suppose d(c) = 0. What is c?
-4, -2/3
Let m(h) = -2*h + 6. Let x be m(-1). Factor 12*p**2 + x*p**4 - 2 - 13*p**2 + 10*p - 5*p**2 - 10*p**3.
2*(p - 1)**2*(p + 1)*(4*p - 1)
Let q(x) be the second derivative of -3*x**5/20 - 43*x**4/4 - 83*x**3/2 - 123*x**2/2 - 2*x - 232. Factor q(v).
-3*(v + 1)**2*(v + 41)
Factor 7/5*o**2 + 1/5*o + 3*o**3 + 0 + 13/5*o**4 + 4/5*o**5.
o*(o + 1)**3*(4*o + 1)/5
Let n(r) be the third derivative of -r**5/150 + r**4/15 + 16*r**2. Factor n(f).
-2*f*(f - 4)/5
Let f(n) be the first derivative of 2*n**5/75 - n**4/5 + 8*n**3/15 - 2*n**2/3 + 2*n/5 + 148. What is v in f(v) = 0?
1, 3
Let d(l) = 2*l**4 - 28*l**3 + 130*l**2 - 164*l + 70. Let c(w) = -2*w**4 + 28*w**3 - 132*w**2 + 164*w - 70. Let k(j) = -5*c(j) - 6*d(j). Factor k(t).
-2*(t - 7)*(t - 5)*(t - 1)**2
Let q = 7 + -12. Let u(l) = 22*l**4 + 10*l**3 + 2*l**2 + 2*l. Let j(k) = -9*k**4 - 4*k**3 - k**2 - k. Let d(c) = q*u(c) - 12*j(c). Find w such that d(w) = 0.
-1, 0, 1
Let w(a) be the second derivative of a**6/120 + a**5/80 - 5*a**4/48 + a**3/8 + a + 21. Suppose w(m) = 0. What is m?
-3, 0, 1
Let f(k) = k**2 + k. Let a(x) = 8*x**3 + 6*x**2 - 30*x - 12. Let y(d) = a(d) + 14*f(d). Factor y(q).
4*(q - 1)*(q + 3)*(2*q + 1)
Factor -3*l - l**2 + 0*l**4 - 146*l**3 + l**4 - 153*l**3 + 302*l**3.
l*(l - 1)*(l + 1)*(l + 3)
Suppose -3*r = -24*r - 3*r + 96. Solve 12/13*l**5 + 4/13*l**3 + 0 - 10/13*l**2 + 22/13*l**r - 4/13*l = 0.
-1, -1/2, 0, 2/3
Let t(l) be the first derivative of -l**4/18 + 2*l**3/9 - 2*l**2/9 - 695. Factor t(i).
-2*i*(i - 2)*(i - 1)/9
Factor 4/5*q**4 + 0 + 11/5*q**3 - 19/5*q**2 + 4/5*q.
q*(q - 1)*(q + 4)*(4*q - 1)/5
Let b(i) = -i**4 + 8*i**3 + 16*i**2 - 2*i. Let q(y) = -3*y**4 + 16*y**3 + 32*y**2 - 5*y. Let z(r) = -5*b(r) + 2*q(r). Suppose z(p) = 0. What is p?
-4, 0
Let o(t) be the third derivative of -t**7/1365 - t**6/195 + t**5/130 + 7*t**4/78 + 8*t**3/39 + 3*t**2 - 15. Let o(f) = 0. What is f?
-4, -1, 2
Let f(z) be the second derivative of z**6/180 + z**5/20 + 13*z**4/72 + z**3/3 + z**2/3 + 49*z. Factor f(d).
(d + 1)**2*(d + 2)**2/6
Factor 21*x**3 + x**5 - 46*x**2 + 127*x**3 + 104*x**3 + 3*x**5 - 150*x**2 - 60*x**4.
4*x**2*(x - 7)**2*(x - 1)
Factor -10*h**2 + 13*h**2 - 3*h**5 + h**3 - 6*h**2 + 3*h**4 + 2*h**3.
-3*h**2*(h - 1)**2*(h + 1)
Let h = 16/295 + 247/885. Factor 0 + h*a**3 - 2/3*a**2 + 1/3*a.
a*(a - 1)**2/3
Factor 2/7*s**4 + 144/7 + 4/7*s**2 - 18/7*s**3 + 24*s.
2*(s - 6)**2*(s + 1)*(s + 2)/7
Let 144/5*l**2 + 69/5*l**3 + 6/5 + 81/5*l = 0. Calculate l.
-1, -2/23
Let j(u) = 3*u**4 - 19*u**3 + 41*u**2 - 21*u - 4. Let a(q) = 20*q**4 - 115*q**3 + 245*q**2 - 125*q - 25. Let n(t) = 4*a(t) - 25*j(t). Factor n(o).
5*o*(o - 1)**2*(o + 5)
Find x such that 105*x**3 - 114*x**3 + 11*x**2 - 3*x**4 + x**2 = 0.
-4, 0, 1
Let w(y) be the third derivative of -1/28*y**4 - 9/490*y**7 + 11/140*y**5 + 0*y - 3/70*y**6 + 0 + 0*y**3 - 39*y**2. Factor w(t).
-3*t*(t + 2)*(3*t - 1)**2/7
Solve 171 - 168 - 267 - 44*u - 24*u - 4*u**2 = 0.
-11, -6
What is l in 8/11*l**4 + 0 + 2/11*l**5 - 60/11*l**3 + 250/11*l - 200/11*l**2 = 0?
-5, 0, 1, 5
Let j be (((-6)/12)/(10/6))/(-9). Let x(q) be the third derivative of -j*q**5 + 0*q + 0 + 1/12*q**4 + q**2 + 2/3*q**3. Factor x(w).
-2*(w - 2)*(w + 1)
Let p(t) = -7*t**2 - 83*t - 953. Let a(s) = 