71*w + 3 - 7.
-2*(w + 1)*(w + 2)
Let w(g) be the second derivative of g**4/12 - 4*g**3/3 - g**2 + 2*g. Let q(j) = -3*j**2 + 15*j + 3. Let s(h) = -3*q(h) - 5*w(h). Factor s(y).
(y - 1)*(4*y - 1)
Let l(w) = -5*w**2 + 1. Let p(y) = -y**2 + 8*y - 8. Let r be p(6). Let m be (-13)/(-5) + r/10. Let o(k) = 4*k**2 - 1. Let h(n) = m*l(n) + 4*o(n). Factor h(c).
(c - 1)*(c + 1)
Let w(t) = 15*t**2 - 15*t + 11. Let r(o) = 8*o**2 - 8*o + 6. Let z(n) = 11*r(n) - 6*w(n). Let z(u) = 0. What is u?
0, 1
Factor 6/13*v + 6/13*v**2 + 2/13 + 2/13*v**3.
2*(v + 1)**3/13
Let b(o) = o**4 + o**3 + 6*o**2 - 4. Let g(f) = -f**4 - f**3 + 1. Let c(n) = -b(n) - 4*g(n). Factor c(l).
3*l**2*(l - 1)*(l + 2)
Let c(y) = -5*y - 80. Let i be c(-16). Factor i*b**2 + 1/4*b**3 - 3/4*b + 1/2.
(b - 1)**2*(b + 2)/4
Let h(u) = u**2 - 4*u - 10. Let p be h(6). Solve 1 - i**2 + 1 - p + 2*i = 0 for i.
0, 2
Let n be 4/2 - (-4 + 2). Solve 0*z - 8*z - 4*z**2 + 6*z**3 + n*z**4 + 2*z**3 = 0.
-2, -1, 0, 1
What is n in 34*n**2 + 0*n**3 + 48*n + 128 - 208*n - 2*n**3 = 0?
1, 8
Let j(z) be the second derivative of 3*z + 0 + 1/180*z**5 + 1/2*z**2 - 1/9*z**3 - 1/72*z**4. Let u(x) be the first derivative of j(x). Factor u(i).
(i - 2)*(i + 1)/3
Let u(g) = -17*g**3 + 17*g**2 - 9*g - 17. Let p(w) = 8*w**3 - 8*w**2 + 4*w + 8. Let v(d) = -13*p(d) - 6*u(d). Factor v(s).
-2*(s - 1)**2*(s + 1)
Let j be -1 - -1 - 16/(-7). Let l be 1008/(-392)*(-2 + -2). Factor -j + l*h - 108/7*h**2 + 54/7*h**3.
2*(3*h - 2)**3/7
Factor -1/2*y**2 + 0 + 0*y.
-y**2/2
Let k(v) be the second derivative of v**6/300 + v**5/75 + v**4/60 + v**2 + 3*v. Let d(f) be the first derivative of k(f). Factor d(y).
2*y*(y + 1)**2/5
Suppose -5*k + 3 = -t, 5 + 4 = -k + 5*t. Let a(o) = -4*o**4 + 2*o**3 + 3*o**2 - o - 5. Let q(y) = y**4 - y**3 + 1. Let c(p) = k*a(p) + 5*q(p). Factor c(n).
n*(n - 1)**3
Let a(k) be the third derivative of k**9/2016 - k**8/1120 - k**7/560 + k**6/240 - 7*k**3/6 + 5*k**2. Let u(j) be the first derivative of a(j). Solve u(q) = 0.
-1, 0, 1
Let f be 4/5*(-30)/(-12). Let p be (15/(-6) + f)/(-1). Find b, given that b - 1/2*b**2 - p = 0.
1
Let c = -1174/11 + 107. Let o = 1/77 + c. Solve -16/7*t**3 + 8/7*t**2 + 10/7*t**4 + 0 + 0*t - o*t**5 = 0.
0, 1, 2
Let v = -7 - -9. What is b in -5*b**3 + 13 - 13*b**v - 3 - 4*b - 6 = 0?
-2, -1, 2/5
Let z(l) = 11*l**3 - 18*l**2 - 29*l + 17. Let u(a) = -4*a**3 + 6*a**2 + 10*a - 6. Let x be 3 - (9 - 1 - -1). Let f(s) = x*z(s) - 17*u(s). Factor f(t).
2*t*(t + 1)*(t + 2)
Let p = -232061/2016 + 1036/9. Let k(d) be the third derivative of 0*d**3 + 0*d**5 + 0*d - d**2 + 1/420*d**7 + p*d**8 + 0*d**6 + 0 + 0*d**4. Factor k(j).
j**4*(j + 1)/2
Let g(l) be the first derivative of -l**6/30 + l**5/5 - l**4/2 + 2*l**3/3 - l**2/2 + 2*l + 3. Let t(s) be the first derivative of g(s). Factor t(f).
-(f - 1)**4
Let r(w) = w**2 + 7*w - 11. Let b be r(-8). Let a = -1 - b. Let -3*q**a - 2 + 0*q**2 + q + 4*q**2 = 0. What is q?
-2, 1
Suppose -2*w - 2*m + 3*m + 16 = 0, 5*w - 2*m - 39 = 0. Let k be w/35 - (-18)/10. Solve 2/7*s - 2/7*s**k + 0 = 0.
0, 1
Let q(j) be the third derivative of -1/240*j**6 + 3*j**2 + 0*j**5 + 1/840*j**7 + 1/48*j**4 + 0*j - 1/24*j**3 + 0. Factor q(o).
(o - 1)**3*(o + 1)/4
Suppose 0 = -4*v + 6 + 2. Let o be v*(0/(-1) + 2). Factor -6/5*s**3 + 0 + 2/5*s**o + 0*s**2 + 8/5*s.
2*s*(s - 2)**2*(s + 1)/5
Factor 0*x - 2/5*x**5 + 6/5*x**4 + 0*x**2 + 0 - 4/5*x**3.
-2*x**3*(x - 2)*(x - 1)/5
Let o(n) be the first derivative of -1 - 1/4*n**2 + 1/12*n**3 + 15/16*n**4 + 0*n + 19/20*n**5 + 7/24*n**6. Factor o(c).
c*(c + 1)**3*(7*c - 2)/4
Let m be (0 + (-2)/15)/((-8)/10). Let a(b) be the first derivative of 0*b - m*b**6 + 3 + 1/5*b**5 + 1/2*b**4 + 0*b**3 + 0*b**2. Factor a(r).
-r**3*(r - 2)*(r + 1)
Let f be (4/26)/((-18)/(-45)). Let n = 28/39 - f. Factor 0 - n*z + 1/3*z**2.
z*(z - 1)/3
Let q = 9 + -15. Let t(g) = g**2 + 4*g - 8. Let x be t(q). Factor x + a - 4*a**2 - 4*a**4 - 4 + a**5 + 6*a**3.
a*(a - 1)**4
Suppose 74*d = 77*d - 36. Factor 3/4*b**2 + 6*b + d.
3*(b + 4)**2/4
Let i(n) be the third derivative of -n**8/30240 - n**7/3780 - n**6/1080 - n**5/20 + 2*n**2. Let s(m) be the third derivative of i(m). Factor s(v).
-2*(v + 1)**2/3
Suppose -2 = -8*z + 22. Let h(f) be the second derivative of -z*f + 0 + 0*f**2 - 1/135*f**6 - 1/27*f**3 + 1/54*f**4 + 1/90*f**5. Factor h(v).
-2*v*(v - 1)**2*(v + 1)/9
Let z(a) = 40*a**3 + 145*a**2 + 105*a + 25. Let h(l) = 5*l**3 + 18*l**2 + 13*l + 3. Let f(r) = 25*h(r) - 3*z(r). Factor f(p).
5*p*(p + 1)*(p + 2)
Let k(w) be the third derivative of w**7/1120 - w**6/160 + 3*w**5/160 - w**4/32 + w**3/3 - w**2. Let s(t) be the first derivative of k(t). Factor s(v).
3*(v - 1)**3/4
Let j(k) = 0*k - 2*k**2 - 2*k + 4*k**2 - 8. Let c(o) = -2*o**2 + 3*o + 9. Let s(v) = 4*c(v) + 5*j(v). Solve s(h) = 0.
-2, 1
Let f(q) = 2*q - 34. Let l be f(18). Factor s**l + 1/3*s**3 - 1/3*s**4 - 5/3*s + 2/3.
-(s - 1)**3*(s + 2)/3
Suppose 0 = 4*d - 1 - 7. Suppose 14*x**d + 8/7 + 8*x = 0. What is x?
-2/7
Let r(v) be the third derivative of 2*v**7/105 - v**6/6 + 8*v**5/15 - 2*v**4/3 - 5*v**2. Factor r(o).
4*o*(o - 2)**2*(o - 1)
Let h(n) = -2*n + 2. Let w(d) = 0 - 3 - 2 + d**2. Let y(o) = -5*o**2 + o + 26. Let a(r) = -11*w(r) - 2*y(r). Let z(c) = 2*a(c) - 3*h(c). Factor z(p).
-2*p*(p - 1)
Let n(r) be the second derivative of 2*r**4/3 + r**3/3 + 7*r. Suppose n(g) = 0. What is g?
-1/4, 0
Let -5 + 3*k**2 + 1 + 4 = 0. Calculate k.
0
Let z(g) be the first derivative of 1/6*g**4 + 2/9*g**3 + 0*g**2 + 0*g - 2. Factor z(r).
2*r**2*(r + 1)/3
Factor -2/3*r**3 + r**4 + r - 1/3*r**5 - 1/3 - 2/3*r**2.
-(r - 1)**4*(r + 1)/3
Let x(i) = -i**4 - i**2 + i + 1. Let w(u) = 4*u**4 - 3*u**3 + 5*u**2 - 3*u - 3. Let h(v) = -w(v) - 3*x(v). Solve h(p) = 0.
0, 1, 2
Suppose -21 - 7 = -4*p. Let q(j) = -j**4 + 11*j**3 + 11*j**2 + 13*j. Let r(x) = -x**4 + 7*x**3 + 7*x**2 + 9*x. Let k(d) = p*r(d) - 5*q(d). Factor k(u).
-2*u*(u + 1)**3
Let l(h) be the second derivative of h**7/10080 - h**6/1440 + h**5/480 + h**4/6 + 2*h. Let c(p) be the third derivative of l(p). Find t such that c(t) = 0.
1
Let l(a) = a**3 + a**2 - a - 1. Let o(z) = 4*z + 1. Let p be o(-1). Let y(n) = 2*n**4 - 6*n**3 - 2*n**2 + 3*n + 3. Let v(c) = p*l(c) - y(c). Factor v(r).
-r**2*(r - 1)*(2*r - 1)
Let o(l) = -6*l**2 - 3*l - 6. Let d(y) = y**2 + 2*y - y + 1 + 0*y**2. Let t = -17 - -12. Let k(p) = t*d(p) - o(p). Find n such that k(n) = 0.
1
Let h(z) = z**4 + z**3 + z**2 + z - 1. Let a(j) = 160*j**4 + 75*j**3 - 25*j**2 - 5*j + 5. Let i(x) = -a(x) - 5*h(x). Find k, given that i(k) = 0.
-2/3, 0, 2/11
Suppose -3*b + 0*b = -6. Find s such that 0*s**4 - s**4 + 8*s + 0*s**4 + 6*s**3 - 12*s**b = 0.
0, 2
Let s(l) be the first derivative of 3*l**5/35 + 3*l**4/28 - l**3/7 - 3*l**2/14 - 1. Suppose s(f) = 0. Calculate f.
-1, 0, 1
Let y = 8 - 4. Factor 1 + 1 + y*z**2 - 3*z**2 - 3*z.
(z - 2)*(z - 1)
Factor -438*p + 434*p + 12*p**2 - 12 + 8*p**3 - 4*p**3.
4*(p - 1)*(p + 1)*(p + 3)
Let x be (-2*3/54)/(2/(-6)). Let m = 3 - 3. Factor 0*u + 0*u**2 + x*u**5 + m + 2/3*u**4 + 1/3*u**3.
u**3*(u + 1)**2/3
Let m(u) be the first derivative of u**6/8 - 3*u**5/20 - 3*u**4/8 + u**3/2 + 3*u**2/8 - 3*u/4 - 17. Factor m(b).
3*(b - 1)**3*(b + 1)**2/4
Let p be (-4)/(1 - 0 - 3). Find f such that 0*f + 2/11*f**4 + 0 + 0*f**p + 6/11*f**5 + 0*f**3 = 0.
-1/3, 0
Let o(b) be the first derivative of -b**5/150 + b**4/15 - b**3/5 - 3*b**2/2 - 4. Let d(i) be the second derivative of o(i). Factor d(q).
-2*(q - 3)*(q - 1)/5
Let v(p) be the third derivative of p**11/831600 - p**9/75600 + p**7/12600 + p**5/15 - 2*p**2. Let c(h) be the third derivative of v(h). Factor c(q).
2*q*(q - 1)**2*(q + 1)**2/5
Find z, given that 464*z**3 - 38*z - 75*z**2 - 62*z - 20 - 439*z**3 + 20*z**4 = 0.
-2, -1, -1/4, 2
Factor -21 + 0 - 3*l**2 + 9*l - 6 + 9*l.
-3*(l - 3)**2
Let v be 14 + -8 + (-9)/2. Let i be 15/6*1/5. Factor -i*t**2 - 1 - v*t.
-(t + 1)*(t + 2)/2
Let m(n) = 2*n**3 + 4*n**2 - 11*n + 5. Let w(b) = b**3 + 2*b**2 - 5*b + 2. Let d(l) = -4*m(l) + 9*w(l). Determine z so that d(z) = 0.
-2, -1, 1
Let b = -112432/17 + 6616. Let g = b - 98/85. Suppose g*u**3 - 6/5*u**2 + 2/5*u + 0 - 2/5*u**4 = 0. What is u?
0, 1
Suppose 0 = 5*u - 4*z - 64, -5*z - 65 = -4*u - u. Factor -6*q**4 - 2 + q**4 - 8*q**3 - 8*q - u*q**2 + 6*q**4 - 3*q**4.
-2*(q + 1)**4
Factor