t**3/21 - 3*t**2/7 + 2*t/7 + 13. Suppose h(m) = 0. What is m?
-1, 1
Let j(w) be the first derivative of w**4/28 - w**3/21 - 17. Solve j(h) = 0.
0, 1
Let z be -1 - (5/1)/(-1). Let u = 0 + z. Suppose 4*h**5 + h**3 - 2*h**3 - 3*h**5 - h**2 + h**u = 0. Calculate h.
-1, 0, 1
Suppose -4*v = -w - 9, -v - 6 = -3*w - 0*w. Let t(b) be the first derivative of 1 + 8/7*b - 4/7*b**2 + 2/21*b**v. Factor t(c).
2*(c - 2)**2/7
Let b(r) be the third derivative of -r**7/630 - r**6/120 - r**5/90 - 2*r**2. Factor b(t).
-t**2*(t + 1)*(t + 2)/3
Let j(s) = -s**3 + 11*s**2 + s - 6. Let a be j(11). Suppose -a*x + 15 = -20. Determine r so that r**2 - 2*r**4 - r - 6*r**3 - x*r**2 - r = 0.
-1, 0
Factor 6*f**3 + 10*f**2 + 16*f - 4*f**3 + 6 + 2.
2*(f + 1)*(f + 2)**2
Let 2/5*s + 2/5*s**5 + 4/5*s**2 - 2/5*s**4 - 2/5 - 4/5*s**3 = 0. What is s?
-1, 1
What is d in 2/5 + 3/5*d**2 - 7/5*d = 0?
1/3, 2
Determine m so that -4*m**3 + 8*m**2 + 2*m - 3*m - 2*m - m = 0.
0, 1
Let d(n) be the first derivative of n**4/24 - 5*n**3/18 + 7*n**2/12 - n/2 + 3. Determine s, given that d(s) = 0.
1, 3
Let w(a) = -15*a**3 + 20*a**2 + 25*a - 20. Let c(n) = n**2 + n - 1. Let g(x) = -10*c(x) + w(x). What is v in g(v) = 0?
-1, 2/3, 1
Let p = 16 - 63/4. Let p - 1/2*q + 1/4*q**2 = 0. Calculate q.
1
Let f(p) be the first derivative of -p**3/24 + p**2/16 + 3*p/4 + 2. Factor f(i).
-(i - 3)*(i + 2)/8
Let s(p) be the third derivative of -1/180*p**5 + 0*p**4 + 1/1008*p**8 - p**2 + 0 + 0*p**3 - 1/210*p**7 + 1/120*p**6 + 0*p. Factor s(y).
y**2*(y - 1)**3/3
Let j(b) = -6*b**2 - 14*b - 13*b**3 + 4 + 3*b**3 - 6. Suppose -3*x + x = -16. Let v(g) = -g**3 - g. Let s(n) = x*v(n) - j(n). Factor s(w).
2*(w + 1)**3
Let t be (4/((-20)/15))/(-1). Factor 4/5*d + 6/5*d**2 + 0 - 2/5*d**4 + 0*d**t.
-2*d*(d - 2)*(d + 1)**2/5
Let h = 62 - 62. Let b(f) be the second derivative of 1/75*f**6 + h - 1/10*f**4 + 0*f**2 + 0*f**5 + 2/15*f**3 + 2*f. Factor b(a).
2*a*(a - 1)**2*(a + 2)/5
Let h(n) = -3*n**3 + n**2 - 2*n. Let p = -3 + 1. Let i(m) = 2*m**2 - 3*m**2 + 2*m**2 - 4*m**3 - 3*m. Let w(x) = p*i(x) + 3*h(x). Determine l so that w(l) = 0.
0, 1
Let p(q) be the second derivative of -5*q**5/24 + 35*q**4/36 - 11*q**3/9 + 2*q**2/3 + 7*q. Determine s, given that p(s) = 0.
2/5, 2
Let x(u) = -6*u**5 - 10*u**4 + 6*u**3 + 18*u**2 - 2*u - 8. Let d(n) = -n**5 - n**4 - n**3 + n**2 + n. Let t(z) = 2*d(z) - x(z). Let t(m) = 0. Calculate m.
-2, -1, 1
Suppose 0 = 3*i, 18 = 9*l - 4*i - 9. Factor 0*n**2 - 8/5*n**l - 32/5 + 2/5*n**4 + 32/5*n.
2*(n - 2)**3*(n + 2)/5
Factor 0 + 2*s**4 + 4/3*s - 2/3*s**2 - 8/3*s**3.
2*s*(s - 1)**2*(3*s + 2)/3
Suppose 6*t = 8*t. Let f(o) be the first derivative of t*o**2 - 2/3*o**3 + 4/3*o**6 + 0*o + 5/2*o**4 + 2 - 16/5*o**5. Factor f(r).
2*r**2*(r - 1)*(2*r - 1)**2
Suppose -8*i - 10 = -13*i. Let g(m) be the second derivative of 0*m**i - 3*m - 1/90*m**6 + 0 - 1/36*m**4 + 0*m**3 + 1/30*m**5. Let g(t) = 0. What is t?
0, 1
Let r(n) be the second derivative of n**6/75 - n**4/30 + 4*n. Find w such that r(w) = 0.
-1, 0, 1
Let x(k) be the second derivative of -1/3*k**3 - 2/3*k**4 + k + 0 + 0*k**2. Factor x(f).
-2*f*(4*f + 1)
Suppose 0 = 5*j - 12 + 2. Factor 12*k**2 - 22*k**2 + 2*k + 8*k**j.
-2*k*(k - 1)
Factor -32 - 13*o**2 + 4*o**2 + 16*o + 7*o**2.
-2*(o - 4)**2
Let v be -3*(-1 + (-5)/(-15)). Factor 0 - 2/9*t + 2/9*t**v.
2*t*(t - 1)/9
Factor 11*y**4 + 35*y**3 + 12*y + 47*y**2 + 1273 - 1277 + 7*y**3.
(y + 1)**2*(y + 2)*(11*y - 2)
Suppose f - 4 = -f. Determine l so that l - f*l - l**3 - 3*l**2 + 5*l**2 = 0.
0, 1
Factor 7/5*b + b**2 + 3/5 + 1/5*b**3.
(b + 1)**2*(b + 3)/5
Let j be 4/(-4) + 7 + -4. Let z(h) be the third derivative of 0*h + 0 - h**j - 1/24*h**4 - 1/60*h**5 + 0*h**3. Let z(o) = 0. What is o?
-1, 0
Let n(o) = -5*o**5 + o**4 - 11*o**3 + 3*o**2 + 8*o - 8. Let s(j) = -14*j**5 + 4*j**4 - 32*j**3 + 8*j**2 + 24*j - 23. Let u(f) = 11*n(f) - 4*s(f). Factor u(r).
(r - 2)**2*(r - 1)**2*(r + 1)
Determine l, given that -1/3*l - 1/3*l**2 + 0 = 0.
-1, 0
Factor 2*x**2 - 5*x**5 + x - x**4 + 5*x**5 - 1 + x**5 - 2*x**3 + 0*x**4.
(x - 1)**3*(x + 1)**2
Let d(g) be the second derivative of -7*g**6/180 + g**5/5 + g**4/3 - g**3/3 + g. Let v(u) be the second derivative of d(u). Solve v(b) = 0 for b.
-2/7, 2
Let u(j) be the first derivative of -10/7*j**2 + 5/7*j**4 + 8/7*j + 4/5*j**5 + 5 - 12/7*j**3. Find l, given that u(l) = 0.
-1, 2/7, 1
Let h be 2 + 80/(-15) + 4. Find k such that 2/3*k**2 + 0 - h*k = 0.
0, 1
Let h(j) be the first derivative of j**3/18 - 5*j**2/12 + 7. Let h(w) = 0. Calculate w.
0, 5
Let b(h) = h**2 - 7*h - 13. Let y be b(9). Factor -3*a**3 + 0*a**2 + 9*a - a**2 - y*a**2 - 12*a.
-3*a*(a + 1)**2
Factor 9/2*o**4 + 21/2*o**3 + 2*o + 8*o**2 + 0.
o*(o + 1)*(3*o + 2)**2/2
Suppose 2*s - 6*s = 9*s. Let u(w) be the second derivative of -w + w**2 + 1/6*w**4 + s - 2/3*w**3. Suppose u(g) = 0. Calculate g.
1
Let h be 5/(-15) + (-21)/(-9). Factor -9*t**h - 2 - 4 + 14*t**2 + 4*t - 3*t**2.
2*(t - 1)*(t + 3)
Let u(m) be the third derivative of -m**7/630 + m**6/180 + 3*m**4/8 + 8*m**2. Let p(s) be the second derivative of u(s). Solve p(v) = 0 for v.
0, 1
Let y(n) be the second derivative of n**4/6 - 2*n**3/3 - 27*n. Factor y(j).
2*j*(j - 2)
Let c(a) be the first derivative of a**6/4 + 33*a**5/10 + 27*a**4/4 - a**3 - 57*a**2/4 - 27*a/2 - 52. Let c(b) = 0. Calculate b.
-9, -1, 1
Let x be (-12)/15 - (-2 + (-93)/(-90)). Factor 1/6 + x*d**3 - 1/6*d - 1/6*d**2.
(d - 1)**2*(d + 1)/6
Let y be (4 - 4)/(-2*(0 + -1)). Let m(g) be the second derivative of -8/3*g**3 + y - 3*g - 8/3*g**4 - g**2. Factor m(t).
-2*(4*t + 1)**2
Let f(w) be the first derivative of -2/9*w**3 - 1 + 2/3*w**2 - 2/3*w. Factor f(z).
-2*(z - 1)**2/3
Suppose 0 = -k + 3*k - 32. Factor -32*g**2 + k*g + 11*g**4 + 20*g**3 - 15*g**4 + 0*g**3.
-4*g*(g - 2)**2*(g - 1)
Let y(p) be the first derivative of -p**4/4 - p**2/2 - p - 3. Let d(n) = -2*n**3 - n**2 - 4*n - 2. Let w(j) = 2*d(j) - 6*y(j). Let w(h) = 0. What is h?
-1, 1
Let q(y) be the second derivative of -2*y**7/21 + 2*y**6/3 - 3*y**5/5 - 3*y**4 + 3*y. Find a such that q(a) = 0.
-1, 0, 3
Let u be 22/6 + (-20)/12. What is q in -2/3 + 2/3*q**u - 2/3*q + 2/3*q**3 = 0?
-1, 1
Suppose -3*t + 27 = 81. Let d(s) = -s**2 - 18*s + 4. Let z be d(t). Factor 0 + 2/5*b**z - 2/5*b**2 + 0*b**3 + 0*b.
2*b**2*(b - 1)*(b + 1)/5
Factor -2/11*t + 2/11*t**2 - 2/11 + 2/11*t**3.
2*(t - 1)*(t + 1)**2/11
Let i(b) be the third derivative of 0*b + 0*b**3 + 0 - 1/40*b**6 - 1/70*b**7 + 0*b**4 + 0*b**5 - 3*b**2. Factor i(x).
-3*x**3*(x + 1)
Find a such that 2/7*a**3 + 10/7*a - 8/7*a**2 - 4/7 = 0.
1, 2
Let p(z) = -98*z**2 + 69*z + 5. Let h(i) = 49*i**2 - 34*i - 2. Let l(q) = 13*h(q) + 6*p(q). Factor l(t).
(7*t - 2)**2
Let r(u) be the second derivative of -1/40*u**6 + 0*u**3 + 0 - 3/80*u**5 + 3*u - 1/168*u**7 + 0*u**2 - 1/48*u**4. Factor r(k).
-k**2*(k + 1)**3/4
Suppose c = -s + 3, 3*c = -7*s + 2*s + 19. Let l be 1*(-3 - c)*-2. Factor -6*d**4 - 5*d**5 - l*d**2 + 6*d**3 + 7*d**5 + 0*d**3.
2*d**2*(d - 1)**3
Suppose -5*m + 6 = 2*f, -m + 15 = 5*f - 2*m. Factor -11*i**3 - 120*i**2 - 32 - 112*i - 16*i**3 - 2*i**3 - 7*i**f.
-4*(i + 2)*(3*i + 2)**2
Let r(w) = -3 + 3*w**2 + 13*w + 5 + 4. Let o(t) = -3*t**2 - 12*t - 6. Let d(n) = 4*o(n) + 3*r(n). Factor d(x).
-3*(x + 1)*(x + 2)
Let m(o) = -2*o - 1. Let g be m(-2). What is r in g*r**2 - 9*r + 24 - 8 - 10 = 0?
1, 2
Let q be 0/((2 + -3)*1). Let l(x) = -x**3 - 2*x**2 + 2. Let z be l(q). Let 0 - 1/3*c**3 + 0*c**z + 1/3*c**4 + 0*c = 0. Calculate c.
0, 1
Let p = -5258 + 2760451/525. Let r(s) be the third derivative of 0*s + 0*s**4 + 0*s**3 - 3*s**2 + 1/150*s**5 + 1/150*s**6 + p*s**7 + 0. Let r(c) = 0. What is c?
-1, 0
Let l(i) be the third derivative of -i**4/12 - i**3/3 + 3*i**2. Let b be l(-2). Determine u, given that 0*u**3 + u**2 + u**3 + 0*u**b = 0.
-1, 0
Let u(a) be the second derivative of a**7/10080 - a**6/1440 + a**5/480 + a**4/6 - a. Let z(t) be the third derivative of u(t). Let z(j) = 0. What is j?
1
Let h(m) be the second derivative of -m**7/105 + 2*m**6/45 - 2*m**5/45 - 2*m**2 - 3*m. Let w(s) be the first derivative of h(s). Suppose w(j) = 0. What is j?
0, 2/3, 2
Suppose 10*a - 33 = -a. Let f(d) be the third derivative of 1/24*d**4 - a*d**2 + 0 + 0*d + 1/60*d**5 + 0*d**3. Factor f(b).
b*(b + 1)
Let o(j) = -j**3 + 3*j**2 - 2*