 u(i) = 0. What is i?
-13
Let t(f) be the second derivative of -f**7/4620 + f**6/1980 + f**5/330 - f**3/6 + 2*f. Let c(u) be the second derivative of t(u). Factor c(d).
-2*d*(d - 2)*(d + 1)/11
Suppose -2/9*d**4 + 4/9 + 10/9*d + 2/3*d**2 - 2/9*d**3 = 0. What is d?
-1, 2
Let c = -183 + 367/2. Factor c*q**3 - 1/2*q + 0 + 1/2*q**2 - 1/2*q**4.
-q*(q - 1)**2*(q + 1)/2
Let m = -122 + 126. Let n(c) be the second derivative of -c + 1/100*c**5 + 0 + 0*c**2 + 1/30*c**3 + 1/30*c**m. Factor n(k).
k*(k + 1)**2/5
Solve 2/15*j**3 - 6/5*j**2 - 8/3 + 16/5*j = 0.
2, 5
Let a(u) be the first derivative of 0*u**3 + 0*u**4 - 1/150*u**5 + 1/2*u**2 + 1 + 0*u. Let r(n) be the second derivative of a(n). Factor r(y).
-2*y**2/5
Let c(r) be the second derivative of r**6/15 - r**4/3 + r**2 - r - 1. Solve c(o) = 0.
-1, 1
Let i be 1/(((-45)/(-20))/9). Factor 2/9*q**3 - 4/9*q**5 - 2/9*q**i + 0*q**2 + 0*q + 0.
-2*q**3*(q + 1)*(2*q - 1)/9
Suppose -5*v + 4*v = 25. Let w be 6/v*(-10)/3. Suppose 0*q**2 + 2/5*q**5 + 0*q**4 + 0 + 2/5*q - w*q**3 = 0. What is q?
-1, 0, 1
Let y be 56/40 + (-2)/5. Let m be (-8)/(-6) - (0 + y). What is q in 1/6*q**4 - 1/2*q**2 + 0 - m*q + 0*q**3 = 0?
-1, 0, 2
Solve 12*d**4 - 58*d**3 + 4*d**5 + 125*d**3 - 59*d**3 = 0.
-2, -1, 0
Let x = 608 - 608. Factor -3/5*p**5 + 0 + 3/5*p**2 - 3/5*p**4 + x*p + 3/5*p**3.
-3*p**2*(p - 1)*(p + 1)**2/5
Let n(b) be the third derivative of 1/140*b**7 + 0*b**3 + 1/120*b**5 - 1/80*b**6 + 0*b + 0 + b**2 + 0*b**4 - 1/672*b**8. Suppose n(t) = 0. What is t?
0, 1
Let d be (-4)/3*-1*(-6)/(-4). Factor 0*s**d - 1/3 - 1/6*s**3 + 1/2*s.
-(s - 1)**2*(s + 2)/6
Let p(o) be the second derivative of o**6/120 + o**5/40 - o**3/6 - 6*o. Let q(d) be the second derivative of p(d). Factor q(z).
3*z*(z + 1)
Let n(f) be the first derivative of -f**3/9 + f**2/2 - 2*f/3 + 2. Factor n(g).
-(g - 2)*(g - 1)/3
Let -16*i - 16*i - 20*i**2 + 9*i + 3*i - 5*i**3 = 0. Calculate i.
-2, 0
Let a(b) be the third derivative of 5*b**8/672 + 5*b**7/168 - b**6/96 - 7*b**5/48 - 5*b**4/96 + 5*b**3/12 - 18*b**2. Solve a(t) = 0 for t.
-2, -1, 1/2, 1
Let u(w) be the third derivative of w**5/42 - w**4/12 + 2*w**3/21 + 2*w**2. Factor u(l).
2*(l - 1)*(5*l - 2)/7
Let j(t) be the first derivative of -3*t**4/28 + t**3 - 45*t**2/14 + 27*t/7 - 6. Solve j(x) = 0.
1, 3
What is f in -2*f**2 - 4*f + 9*f - 3*f + 4*f = 0?
0, 3
Factor 128/13 + 24/13*n**2 - 2/13*n**3 - 96/13*n.
-2*(n - 4)**3/13
Let a be 2*(-3)/(-6)*0. Let x = a + 0. Factor -2/5*z**3 + 2/5*z**2 + x + 0*z.
-2*z**2*(z - 1)/5
Let j(p) be the third derivative of 0 + 0*p - 2*p**2 - 2/105*p**7 + 0*p**6 + 1/3*p**4 + 1/5*p**5 + 0*p**3. Factor j(i).
-4*i*(i - 2)*(i + 1)**2
Factor 483*d**2 - 2*d**3 - 477*d**2 + 4 - d**4 - d**4 + 10*d.
-2*(d - 2)*(d + 1)**3
Suppose -4 = -0*i - 2*i. Suppose -4*r = -t + 3 + 4, 0 = -2*r - 2. Factor 3*h**2 + h**2 - 4*h**t - 2 + 2*h**i.
-2*(h - 1)**2*(2*h + 1)
Let y be (12/(-14))/(6/(-21)). Let g(i) = i + 2. Let j be g(0). Factor -4*v + 5*v**2 - 4*v**2 + j*v**y + v**2.
2*v*(v - 1)*(v + 2)
Suppose 0*v = 4*v - 8. Suppose -v*a - 4 = -4*a. Factor -4*p**5 + a*p**5 - p**5 + 5*p**5.
2*p**5
Let -8/5 + 32/5*y - 42/5*y**2 + 18/5*y**3 = 0. Calculate y.
2/3, 1
Let f = -29 + 33. Let u(l) be the third derivative of 1/28*l**f + 0*l - 1/42*l**5 + 2/21*l**3 + 0 - 3*l**2. Factor u(h).
-2*(h - 1)*(5*h + 2)/7
Let y(l) = 7*l**3 + 13*l**2 - 23*l + 3. Let o(w) = 17*w - 8*w**3 - 8 + 7*w - 9 + 13 - 12*w**2. Let u(s) = 5*o(s) + 4*y(s). Solve u(j) = 0.
-2, 1/3, 1
Let x be 3/2*(-30)/(-135). Let w be 4/3 - (0 - -1). Factor -w*v**4 + 1/3*v**2 + 0 + x*v**3 - 1/3*v.
-v*(v - 1)**2*(v + 1)/3
Let m = -3 + -7. Let x(i) = i + 10. Let j be x(m). Factor -2*b + 4*b**4 + j*b**4 - 2*b**3 + 2*b - 2*b**5.
-2*b**3*(b - 1)**2
Factor 2*z**2 + 3*z**2 + 137*z - 152*z.
5*z*(z - 3)
Let g(l) be the third derivative of 1/840*l**7 + 1/448*l**8 + 0*l**5 + 0*l**3 - 3*l**2 - 1/240*l**6 + 0*l**4 + 0*l + 0. Solve g(t) = 0.
-1, 0, 2/3
Let o be 1 - (47/12 - 3). Let h(x) be the third derivative of 0 + 1/240*x**6 - 1/48*x**4 + o*x**3 + x**2 - 1/120*x**5 + 0*x. Let h(v) = 0. Calculate v.
-1, 1
Let i(k) = k**2 + 7*k + 4. Let x be i(-7). Factor -r**2 - r**3 - 3 + r + x + 0*r.
-(r - 1)*(r + 1)**2
Let a(w) = w**3 + 8*w**2 + 2*w + 16. Let m be a(-8). Factor -1/2*i**2 - 4*i**4 - 7/2*i**3 + m*i + 8*i**5 + 0.
i**2*(i - 1)*(4*i + 1)**2/2
Suppose -10*d**4 - 4*d**5 + 8*d - 5*d**3 + d**3 + 12*d**2 - 4*d**4 + 2*d**4 = 0. Calculate d.
-2, -1, 0, 1
Suppose 5*v - 9 = w - 0*w, 5*v - 15 = 0. Let a(u) = u**3 - u. Let j(x) = 3*x**3 + 3*x - 6. Let s(l) = w*a(l) - j(l). Suppose s(g) = 0. What is g?
-2, 1
Factor 3*o**2 + 9*o**4 - 2*o**5 - o**5 + 10*o**3 - 19*o**3.
-3*o**2*(o - 1)**3
Let j(k) be the first derivative of -2*k**7/63 + k**5/20 - k**4/36 - k + 1. Let x(z) be the first derivative of j(z). Factor x(n).
-n**2*(n + 1)*(2*n - 1)**2/3
Let z(q) = -q**3 - 9*q**2 + 3. Let l be z(-9). Let j(a) = a**3 - 3*a**2 + 3. Let t be j(l). Suppose 0*g + 2/7*g**4 + 0 - 2/7*g**2 + 0*g**t = 0. What is g?
-1, 0, 1
Let h(v) be the third derivative of -v**7/2100 + v**6/900 + v**5/150 + v**3/2 + v**2. Let j(u) be the first derivative of h(u). Factor j(g).
-2*g*(g - 2)*(g + 1)/5
Let y(n) be the second derivative of 0*n**2 - 7*n + 0 + 2/3*n**3 - 2/3*n**4 + 1/4*n**5 - 1/30*n**6. Factor y(z).
-z*(z - 2)**2*(z - 1)
Let j(a) = -a**3 - 14*a**2 - 25*a - 8. Let p(y) = -9*y**3 - 114*y**2 - 201*y - 63. Let z(n) = 33*j(n) - 4*p(n). Find v, given that z(v) = 0.
-1, 4
Let v(k) be the third derivative of -2*k**6/15 + 4*k**5/15 - k**4/6 + 21*k**2. Let v(n) = 0. Calculate n.
0, 1/2
Let d(i) be the first derivative of -3*i + i**3 - 4 + 3/4*i**4 - 3/2*i**2. Factor d(j).
3*(j - 1)*(j + 1)**2
Let d = -14 + 2. Let i = d - -16. Solve 0 + 0*k**3 + 0*k - 2/9*k**i + 2/9*k**2 = 0.
-1, 0, 1
Suppose -18 = -5*u + 9*c - 7*c, -2*u = 3*c - 11. Factor 3/8*x**2 + 0*x + 0 - 3/4*x**3 + 3/8*x**u.
3*x**2*(x - 1)**2/8
Factor -2*q**2 + q**2 - 2*q**2 - 2*q**2 + 25*q.
-5*q*(q - 5)
Let h(t) be the third derivative of -t**8/60480 - t**7/2520 - t**6/240 - t**5/15 - 3*t**2. Let i(c) be the third derivative of h(c). Factor i(m).
-(m + 3)**2/3
Suppose 0 = -6*b + b + 15. Let u(p) be the third derivative of 1/144*p**4 + 0 - 1/720*p**6 - 1/1260*p**7 + 1/360*p**5 + 0*p + 0*p**b - 3*p**2. Solve u(w) = 0.
-1, 0, 1
Let h be 857*(4/(-18))/(-2). Let f = h - 95. Factor -2/9*x**3 + 2/9*x + 2/9*x**2 - f.
-2*(x - 1)**2*(x + 1)/9
Let p(u) be the third derivative of u**2 - 1/720*u**6 - 1/3*u**3 + 0*u**4 + 0*u + 0*u**5 + 0. Let f(b) be the first derivative of p(b). Factor f(j).
-j**2/2
Let d be (-4)/20 - 32/(-10). Find q such that 0 + 8 - 4 - 6*q + 2*q**d = 0.
-2, 1
Let s be (-14)/(-21) - (2 - 13/3). Let m(o) be the second derivative of 0 - 1/42*o**4 - 1/21*o**3 - s*o + 0*o**2. Let m(g) = 0. What is g?
-1, 0
Let a(z) be the second derivative of -z**7/21 + 3*z**6/5 - 13*z**5/5 + 3*z**4 + 9*z**3 - 27*z**2 + 27*z. Let a(s) = 0. Calculate s.
-1, 1, 3
Suppose -3*d = -0*d. Determine c so that 42*c**2 + 2 - 44*c**2 + d = 0.
-1, 1
Let q(u) be the first derivative of -u**5/150 + u**4/30 - u**3/15 - u**2 - 11. Let f(w) be the second derivative of q(w). Let f(z) = 0. Calculate z.
1
Let u(y) = -2*y**2 + 5*y - y + 5 - 2 - 3*y. Let b(j) = j**2 - 6*j + 5. Let c be b(4). Let p(r) = -5*r**2 + 2*r + 7. Let d(k) = c*p(k) + 7*u(k). Solve d(l) = 0.
-1, 0
Find o such that -2/7*o + 0*o**3 + 4/7*o**4 + 2/7*o**5 + 0 - 4/7*o**2 = 0.
-1, 0, 1
Find q, given that -2/9*q - 2/9*q**2 + 0 + 2/9*q**3 + 2/9*q**4 = 0.
-1, 0, 1
Let a(g) = g**2 + g. Let v be a(3). Let h be 14/8 - (-3)/v. Find x such that 3 - 3 - 6*x**3 - 2*x**h = 0.
-1/3, 0
Let m be 870/294 - (1 - -2). Let w = 45/98 - m. What is j in 1/2*j - j**2 + 0 + w*j**3 = 0?
0, 1
Suppose u + 3 + 3 = 0. Let i(o) = 2*o**4 - 12*o**3 + 2*o**2 + 12*o - 4. Let f(r) = -r**4 + r**3 - r + 1. Let c(q) = u*f(q) - i(q). Let c(m) = 0. What is m?
-1, -1/2, 1
Let j(o) = o**2 - 4*o + 1. Suppose -7*s = -2*s - 25. Let q be j(s). Factor -2*k + q*k**2 - 6*k**3 - 5*k**4 + 4*k**4 + 3*k**4.
2*k*(k - 1)**3
Let u(b) = -b**2 - 12*b + 4. Let k(w) = 5*w**2 + 61*w - 20. Let h(v) = 2*k(v) + 11*u(v). Let r be h(-10). Factor -1 + f**3 - 1 - 2*f**r + 2.
-f**3*(2*f - 1)
Let t(m) be the first derivative of m**4/2 - 14*m**3/15 - 8*m**2/5 + 8*m/5 + 2. Factor t(k).
2*(k - 2)*(k + 1)*(5*