- 3*l**2 - 6*l + 1. Suppose u = -0*u + 6. Let j(f) = f**4 - f - 1. Let r(t) = u*j(t) - x(t). Factor r(o).
o**2*(o - 1)*(o + 1)
Let f(w) be the second derivative of w**9/336 - w**8/112 + w**7/140 + w**3/2 + 2*w. Let d(v) be the second derivative of f(v). What is o in d(o) = 0?
0, 2/3, 1
Let i(j) be the second derivative of -j**9/7560 + j**8/3360 + j**7/1260 - j**6/360 - j**4/12 + j. Let y(r) be the third derivative of i(r). Factor y(c).
-2*c*(c - 1)**2*(c + 1)
Let y(j) be the second derivative of j**6/10 - 3*j**5/20 - 3*j**4/4 + j**3/2 + 3*j**2 - 3*j. Factor y(c).
3*(c - 2)*(c - 1)*(c + 1)**2
Suppose j - 2*a = 12, -3*a + 2*a = -3*j + 11. Let q(d) be the second derivative of 0 - 1/18*d**4 + 2/9*d**3 - 1/3*d**j + 3*d. Let q(g) = 0. Calculate g.
1
Let s(k) be the first derivative of 2 + 0*k**3 - 1/2*k**2 + 1/12*k**4 + 2/3*k. Factor s(y).
(y - 1)**2*(y + 2)/3
Let r be -1*(-4 - (1 + -2)). Let f(y) = -2*y - 5*y - 2*y - 8 + 2 + 3*y**3. Let j(a) = -3*a**3 + 9*a + 6. Let q(h) = r*j(h) + 4*f(h). Factor q(i).
3*(i - 2)*(i + 1)**2
Let i(a) = a**3 + 9*a**2 - 12*a - 4. Let k be i(-10). Let -8*f + k*f**2 + 5*f**4 - 2*f**4 - 10*f**3 - 3*f**4 + 2*f**4 = 0. Calculate f.
0, 1, 2
Let 14*y**3 + 3*y**3 + 14*y**3 + 56*y - 44*y**2 - 21*y**3 - 16 = 0. Calculate y.
2/5, 2
Let s be 42/30 + 2/(-5). Suppose -5 = -3*x + s. Find u such that -u + 2 - 2 + u**x = 0.
0, 1
Let y be ((-155)/62)/((-5)/1). Determine a so that 1/2*a + 0 + y*a**2 = 0.
-1, 0
Let m = -379/4 + 96. Let 2*s - 7/4*s**3 + 1/4*s**2 - m*s**4 + 1 - 1/4*s**5 = 0. What is s?
-2, -1, 1
Suppose -7*h**3 + 1/4*h + 0 - 3/4*h**2 = 0. What is h?
-1/4, 0, 1/7
Let t = 16 + -12. Let d(a) = -6*a**3 - 4*a**2 + 4. Let l(j) = -11*j**3 - 8*j**2 + 7. Let i(v) = t*l(v) - 7*d(v). Suppose i(w) = 0. Calculate w.
-2, 0
Let n be ((-2)/10)/((-9)/24). Let u = 31/30 - n. Factor u*s - 1/4*s**2 + 0.
-s*(s - 2)/4
Let n(w) be the second derivative of 5*w**4/12 + 5*w**3/3 - 15*w**2/2 - 51*w. Solve n(z) = 0 for z.
-3, 1
Let i(m) = -m**4 + m**3 + m + 1. Let k(d) = 3*d**4 - 3*d**2 + 2*d + 2. Let s(u) = -10*i(u) + 5*k(u). Solve s(h) = 0 for h.
-3/5, 0, 1
Let v(x) be the third derivative of -x**7/1050 + x**5/300 - 3*x**2. Factor v(n).
-n**2*(n - 1)*(n + 1)/5
Suppose -5*u - 1 + 16 = 0. Let s(l) be the second derivative of 0 - 1/30*l**6 - 3*l - 1/20*l**5 + 0*l**4 + 0*l**2 + 0*l**u. Find q, given that s(q) = 0.
-1, 0
Suppose 3*a = -a + 16. Suppose 0*r + a*r - 2*j + 2 = 0, 0 = 5*r - 5*j + 5. Factor 0 + r*y**2 - 1/2*y**3 + 0*y - 1/2*y**4.
-y**3*(y + 1)/2
Solve -2*p**3 + 4/5*p**4 - 2/5 + 6/5*p**2 + 2/5*p = 0.
-1/2, 1
Let 0 + 16/3*w - 2/3*w**5 + 12*w**2 + 0*w**4 + 22/3*w**3 = 0. Calculate w.
-2, -1, 0, 4
Determine x so that 4/7*x**2 + 0 + 8/7*x - 60/7*x**3 - 4*x**5 + 76/7*x**4 = 0.
-2/7, 0, 1
Let v(p) = p**2 - 4*p - 7. Let c be v(6). Solve 1/2*m**c - 3/2*m**3 + 0 + 0*m**4 + 0*m - m**2 = 0.
-1, 0, 2
Suppose 4*o - 4 = 12. Let a(f) be the second derivative of -o*f - 3*f**3 + 0 - 2/3*f**4 - 2*f**2. Factor a(h).
-2*(h + 2)*(4*h + 1)
Let p(v) be the third derivative of -v**8/2184 + 2*v**7/1365 - v**6/780 - 7*v**2. Determine t so that p(t) = 0.
0, 1
Factor 2/3*p**3 + 4/3 + 2/3*p**4 - 2/3*p - 2*p**2.
2*(p - 1)**2*(p + 1)*(p + 2)/3
Let c(o) be the first derivative of 2/5*o - o**2 + 1/2*o**4 - 2/15*o**3 + 3. Factor c(b).
2*(b - 1)*(b + 1)*(5*b - 1)/5
Let n(c) = c + 1. Let w(m) = 5*m**2 + 5*m + 12. Let f(g) = 6*n(g) - w(g). Let b(y) = -11*y**2 + 2*y - 13. Let z(i) = 6*b(i) - 13*f(i). Factor z(d).
-d*(d + 1)
Let y(h) = h**2 - 5*h + 6. Let z be y(3). Let s(a) be the second derivative of 1/6*a**4 + 0*a**3 + z + 0*a**2 + a. Let s(v) = 0. What is v?
0
Let u be (-96)/(-168) - (-24)/(-91). Solve u*p**3 + 0 + 0*p + 2/13*p**4 + 2/13*p**2 = 0 for p.
-1, 0
Let q = -169 - -679/4. Let a(g) = 2*g - 7. Let t be a(5). What is l in -q*l - 3/4*l**t - 3/2*l**2 + 0 = 0?
-1, 0
Let f(t) be the third derivative of 11*t**6/180 - 3*t**5/20 - t**4/6 + t**3/3 + 4*t**2. Let r(c) be the first derivative of f(c). Factor r(b).
2*(b - 1)*(11*b + 2)
Factor -2/3 + 4/3*v**2 + 0*v - 2/3*v**4 + 0*v**3.
-2*(v - 1)**2*(v + 1)**2/3
Let j(z) = -z**3 - 3*z**2 - 3*z - 7. Let d(p) be the second derivative of p**5/20 + p**4/12 - p**3/6 + p**2/2 - 4*p. Let v(y) = 3*d(y) + j(y). Factor v(r).
2*(r - 2)*(r + 1)**2
Factor 15 - 37*o**2 + 32*o**2 + 13*o - 3*o.
-5*(o - 3)*(o + 1)
Let v(a) = 3*a**2 - 6*a + 6. Let t(l) = 1. Let j(q) = 6*t(q) - v(q). Factor j(i).
-3*i*(i - 2)
Suppose -5*y + 0 = -30. Suppose 7 = 5*u - i - y, -2*u - 5 = 3*i. Factor 0 + 1/3*c**4 + 4/3*c**u + 0*c - 4/3*c**3.
c**2*(c - 2)**2/3
Let l = 12 - 7. Suppose d - l = -0*d. Factor -g**2 + 2*g**3 - 3*g + 4*g + d*g + 7*g**2 + 2.
2*(g + 1)**3
Let z(n) = 5*n**3 - 10*n**2 - 8*n + 13. Let l(s) = s - 1. Let t(r) = 3*l(r) + z(r). Factor t(d).
5*(d - 2)*(d - 1)*(d + 1)
Let a(h) be the second derivative of h**7/280 - h**5/40 + 2*h**3/3 - h. Let i(c) be the second derivative of a(c). Suppose i(u) = 0. What is u?
-1, 0, 1
Suppose c = 4*f + 11, -3*f = -6*c + 4*c + 12. Let d(j) = 3*j**2 + 5*j - 2. Let r(y) = 2*y**2 + 4*y - 1. Let a(x) = c*d(x) - 4*r(x). Factor a(n).
(n - 2)*(n + 1)
Let i(s) = -s**3 - 16*s**2 - 17*s - 30. Let j be i(-15). Solve -3/5*k**3 + 0*k + 3/5*k**2 + j = 0 for k.
0, 1
Let r be (3 - (-185)/(-60))*16/(-6). Find p such that 2/3*p**2 + 2/3*p**3 + 0 + r*p + 2/9*p**4 = 0.
-1, 0
Factor 0 + 4*s**2 + 4*s**3 - 2*s**4 - 2 - 2*s + 2*s**5 - 4*s**5.
-2*(s - 1)**2*(s + 1)**3
Let h(l) be the second derivative of l**7/42 + 2*l**6/15 + 3*l**5/10 + l**4/3 + l**3/6 - 42*l. Suppose h(d) = 0. What is d?
-1, 0
Let w(d) be the first derivative of -4*d**3/3 + 8*d**2 - 16*d + 2. Factor w(b).
-4*(b - 2)**2
Let r = -10 - -12. Factor -3*o**r - 18 - 9 - 18*o + 0*o**2.
-3*(o + 3)**2
Let t(y) be the first derivative of 2/9*y**3 + 2/9*y + 5 + 1/18*y**4 + 1/3*y**2. Suppose t(l) = 0. Calculate l.
-1
Suppose 5*t - 39 = 6. Suppose -1 = u - j, u + 0*u = -j + t. Find k such that -2*k**u + 5*k**2 - 8*k + 0 - 2 - 4*k**2 - 8*k**3 - 13*k**2 = 0.
-1
Let y(b) be the first derivative of 2*b**5/45 - b**4/6 + 4*b**3/27 - 1. Let y(j) = 0. What is j?
0, 1, 2
Let g be 10*6/(-72) - (-8)/6. Let g*d + 0 + 8*d**3 + 4*d**2 = 0. Calculate d.
-1/4, 0
Let x(n) = n + 1. Let p be 2/4*(17 - 5). Let a(c) = c**2 + 3*c + 2. Let m(h) = p*x(h) - 3*a(h). Solve m(l) = 0.
-1, 0
Let 0*l + 0*l**2 + 0*l**3 + 1/3*l**4 + 0 - 1/3*l**5 = 0. Calculate l.
0, 1
Let m(v) be the third derivative of 0*v**3 - 1/70*v**6 + 0 + 0*v - 1/42*v**4 - 8*v**2 - 2/735*v**7 - 1/35*v**5. Factor m(f).
-4*f*(f + 1)**3/7
Let f(x) = -2*x**2 - 2*x - 2. Let z(u) = -6*u**2 - 4 - u - 3 - 4*u. Let j(p) = p + 2. Let w be j(-4). Let o(s) = w*z(s) + 7*f(s). Factor o(g).
-2*g*(g + 2)
Let g(w) = -w**3 + 5*w**2 + 26*w - 16. Let l be g(8). Factor 4/13*f - 2/13*f**2 + l.
-2*f*(f - 2)/13
Let 7/6*b - 1/3 - 1/6*b**5 - 4/3*b**2 + 1/3*b**4 + 1/3*b**3 = 0. What is b?
-2, 1
Let c(l) be the first derivative of 1/7*l**2 + 3/7*l**4 - 8/35*l**5 - 8/21*l**3 + 3 + 1/21*l**6 + 0*l. Factor c(t).
2*t*(t - 1)**4/7
Suppose 0*n = -2*n + 6. Let u(a) be the second derivative of -a + 0 - 3/4*a**n - 1/2*a**2 - 1/6*a**4. Factor u(g).
-(g + 2)*(4*g + 1)/2
Suppose 0 = 25*o - 23*o - 8. Factor 1/6*t**o + 0 - 1/6*t**2 + 1/3*t - 1/3*t**3.
t*(t - 2)*(t - 1)*(t + 1)/6
Factor 28/17*i - 2/17*i**2 - 98/17.
-2*(i - 7)**2/17
Let b(s) be the first derivative of 0*s**2 - 4 - 4/5*s**5 + 1/3*s**3 - 1/8*s**4 - 5/12*s**6 + 0*s. Factor b(j).
-j**2*(j + 1)**2*(5*j - 2)/2
Let h = -246/35 - -52/7. Let d = -1902/5 + 382. Factor h*o - d*o**2 + 0.
-2*o*(4*o - 1)/5
Let z = 72323/21 - 3443. Let a(u) be the first derivative of 2/7*u**5 + z*u**3 + 2/7*u - 5/7*u**4 - 5/7*u**2 + 2 - 1/21*u**6. Factor a(w).
-2*(w - 1)**5/7
Let y(i) be the second derivative of 1/150*i**5 + 0 - 1/60*i**4 + 0*i**3 + 2*i + i**2. Let s(w) be the first derivative of y(w). Find r, given that s(r) = 0.
0, 1
Let s(b) be the first derivative of b**3/9 - 2*b**2/3 + b - 2. Factor s(v).
(v - 3)*(v - 1)/3
Let f be (-2*(-62)/(-40))/(-2). Let c(t) be the first derivative of 1/4*t**2 + 2 + 0*t + f*t**5 - 1/12*t**3 - 7/12*t**6 - 9/8*t**4. Suppose c(r) = 0. What is r?
-2/7, 0, 1/2, 1
Let n(g) be the second derivative of g**7/3 - g**6/5 - 12*g**5/35 - 2*g**4/21 + 5*g. Suppose n(q) = 0. What is q?
-2/7, 0, 1
Factor 0*p + 0*p**2 + 0*p**4 + 2/3*