t is h?
1, 2
Suppose -15 = -3*u + r, -2*u - 4 = -5*r - 14. Let o = 7 - u. Factor -2/5*i**o + 4/5 + 2/5*i.
-2*(i - 2)*(i + 1)/5
Let o(p) be the first derivative of 2*p**5/5 + p**4/2 + 11. Factor o(f).
2*f**3*(f + 1)
Let a = 27 - 18. What is y in -3 + 12 - 3 + a*y + 0 + 3*y**2 = 0?
-2, -1
Suppose -c - 2*c + 9 = 0. Let i(r) be the first derivative of -1/8*r**4 + 1/2*r**c - 1/2*r**2 - 1 + 0*r. Find f such that i(f) = 0.
0, 1, 2
Let a(g) be the first derivative of g**4/6 - 50*g**3/9 + 56*g**2 - 96*g - 16. Let a(i) = 0. What is i?
1, 12
Factor -6/7*c**2 + 8/7 + 16/7*c - 18/7*c**3.
-2*(c - 1)*(3*c + 2)**2/7
Let p(a) be the third derivative of a**8/252 - 58*a**7/315 + 161*a**6/45 - 1666*a**5/45 + 3773*a**4/18 - 4802*a**3/9 + 2*a**2. Factor p(n).
4*(n - 7)**4*(n - 1)/3
Let y(n) = -n + 5. Suppose -o = -4*o - 4*l + 3, 0 = -2*o + l + 13. Let z be y(o). Let z + 1/4*u**2 - 1/4*u = 0. Calculate u.
0, 1
Let v(s) be the third derivative of -1/180*s**5 - 3*s**2 + 0*s - 1/18*s**3 + 0 + 1/36*s**4. Let v(z) = 0. What is z?
1
Let q(z) be the third derivative of -z**7/210 + z**6/180 + z**5/60 - z**4/36 - 4*z**2. What is v in q(v) = 0?
-1, 0, 2/3, 1
Suppose -1 = -w + 4. Let z(u) = 6*u**2 - 12*u - 14. Let f(p) = 6 - 2*p**2 - 1 + 0 + 4*p. Let l(c) = w*z(c) + 14*f(c). Factor l(j).
2*j*(j - 2)
Suppose -2*t + 99 - 3 = 0. Let h be (t/50)/(9/60). Factor -h*i**2 + 2/5*i**5 - 12/5*i**4 + 18/5*i + 28/5*i**3 - 4/5.
2*(i - 2)*(i - 1)**4/5
Suppose 26912*r**5 - 288*r + 9744*r**4 + 2822*r**2 + 316*r**2 + 232*r**2 - 13502*r**3 + 8 = 0. Calculate r.
-1, 2/29, 1/4
Determine y, given that -2/7*y**2 + 4/7*y**4 - 2/7 - 6/7*y + 6/7*y**3 = 0.
-1, -1/2, 1
Let q be 5*(-2 + 1) + 9. Let c(f) be the second derivative of 0 + 1/6*f**3 + 1/12*f**q - 1/30*f**6 - 1/20*f**5 + 0*f**2 - f. What is v in c(v) = 0?
-1, 0, 1
Let h(j) = j**3 + 16*j**2 + 17*j + 32. Let k be h(-15). Factor -p + 0 + 1/2*p**k.
p*(p - 2)/2
Let p be ((-40)/12)/(-5)*(-3)/(-6). Factor 0 - p*h**2 - 1/3*h**3 + 0*h.
-h**2*(h + 1)/3
Let d(c) be the first derivative of 2*c**3/15 - c**2/5 - 4*c/5 + 2. Factor d(n).
2*(n - 2)*(n + 1)/5
Suppose 0 - 2/7*p**2 + 2/7*p**3 - 2/7*p**5 + 2/7*p**4 + 0*p = 0. Calculate p.
-1, 0, 1
Let z(j) be the first derivative of -3 - 4*j**3 + 7*j**3 + 0 + 3*j**2 - 3. Solve z(m) = 0 for m.
-2/3, 0
Let k(l) be the second derivative of l**4/3 + 6*l**3 - 20*l**2 + 4*l + 7. Factor k(b).
4*(b - 1)*(b + 10)
Factor -3/2 + 7/4*p**2 + 19/4*p.
(p + 3)*(7*p - 2)/4
Let y(w) = -2*w**2 - 4. Let b(p) = -4*p. Let g be b(-1). Let o(q) = -3*q**2 - 5. Let d(c) = g*y(c) - 3*o(c). Find m, given that d(m) = 0.
-1, 1
Suppose 24 = -2*r + 28. Let s(d) be the second derivative of 0 + 7/12*d**4 - d + 0*d**r - 1/3*d**3. Solve s(a) = 0.
0, 2/7
Suppose 8 = 5*j - 7. Let b be -2 - 7/(35/(-12)). Let -b*m**5 + 2/5*m + 0*m**j - 4/5*m**2 + 4/5*m**4 + 0 = 0. Calculate m.
-1, 0, 1
Let -1/6 + 1/6*c**2 - 1/6*c**3 + 1/6*c = 0. What is c?
-1, 1
Factor -2/11*c + 2/11*c**4 - 2/11*c**2 + 0 + 2/11*c**3.
2*c*(c - 1)*(c + 1)**2/11
Let y = -2/65 - -136/195. Factor 1/3 - 1/3*i**5 - 1/3*i + 1/3*i**4 - y*i**2 + 2/3*i**3.
-(i - 1)**3*(i + 1)**2/3
Factor 4*u**2 + 8 - 21*u - 19*u**2 - 14.
-3*(u + 1)*(5*u + 2)
Let s = 973/3 + -324. Solve j - s*j**2 - 2/3 = 0 for j.
1, 2
Let m(i) be the second derivative of 1/3*i**4 + 4*i + 1/10*i**5 - 1/3*i**3 + 0 - 2*i**2. Factor m(q).
2*(q - 1)*(q + 1)*(q + 2)
Let w = 997/3 - 332. Suppose -w*j**2 + 4/3*j - 4/3 = 0. What is j?
2
Suppose 0 = -z - 3*q - 7, 5*z + 3*q - 9 = -8. Find x such that 0*x**z + 0 - 1/2*x**3 + 0*x - 1/4*x**4 = 0.
-2, 0
Let g(h) = -h**2 + h - 1. Let s(z) = -2*z**2 + 4*z - 3. Let v(t) = 15*g(t) - 5*s(t). Factor v(n).
-5*n*(n + 1)
Suppose 5*v - 32 = -12. Suppose -v*n + 4*j = 4, 2 = n - 5*n + 2*j. Factor n*b + 0 - 1/2*b**2.
-b**2/2
Let u(r) be the first derivative of -2*r**5/25 - r**4/10 + 8*r**3/15 + 4*r**2/5 + 11. Factor u(y).
-2*y*(y - 2)*(y + 1)*(y + 2)/5
Let n = -421/5 - -85. Let r(o) be the first derivative of -n*o**5 - 1/3*o**4 - 2 - 2/3*o - 1/2*o**2 + 7/18*o**6 + 14/9*o**3. Factor r(y).
(y - 1)**3*(y + 1)*(7*y + 2)/3
Let a be -3*(0 - (3 - 4)). Let s = -1 - a. What is r in -2*r + 5*r + 1 + 2*r**s - 6*r**2 = 0?
-1/4, 1
Let m(b) be the third derivative of -2*b**2 + 0*b**4 + 0 + 0*b + 1/30*b**3 - 1/300*b**5. Factor m(o).
-(o - 1)*(o + 1)/5
Suppose 10*v + 3*v - 39 = 0. What is k in 3*k + 3/4*k**2 + v = 0?
-2
Let n(q) = 9*q**3 - 2*q**2 + 7. Let x(i) be the first derivative of -2*i**4 + 2*i**3/3 - 6*i - 6. Let y(g) = -6*n(g) - 7*x(g). Let y(d) = 0. What is d?
0, 1
Factor -2*j**2 + j**5 - 2*j**4 + 6*j**3 - 2*j**2 - 3*j**4 + j**4 + j.
j*(j - 1)**4
Let t(p) be the second derivative of 8*p**6/45 - 2*p**5/9 + 11*p**4/108 - p**3/54 - 4*p. Find u such that t(u) = 0.
0, 1/4, 1/3
Let p(x) = -70*x**3 - 42*x**2 - 6*x + 5. Let r(l) = -83*l**2 - 141*l**3 - 4*l - 2*l - 3*l - 2*l + 11. Let s(f) = 13*p(f) - 6*r(f). Factor s(n).
-(4*n + 1)**3
Let z(c) = 2*c + 2*c - c**2 - 5*c - 1. Let l(k) = 8*k**2 + 6*k + 7. Let f(h) = -2*l(h) - 18*z(h). Factor f(v).
2*(v + 1)*(v + 2)
Factor -1/2*d**2 + 0*d - 1/2*d**3 + 0 + 1/2*d**4 + 1/2*d**5.
d**2*(d - 1)*(d + 1)**2/2
Let u = -1097/2 + 521. Let l = u + 28. Find q, given that -1/2*q + 1/2*q**3 + 1/2 - l*q**2 = 0.
-1, 1
Find v such that -1/10 - 1/5*v - 1/10*v**2 = 0.
-1
Let a(m) = -m**3 - m**2 + m. Let q(k) = 4*k**4 + 2*k**3 - 6*k**2 - 2*k + 4. Suppose 0 = -3*y + 6 - 3. Let v(t) = y*q(t) + 2*a(t). Factor v(l).
4*(l - 1)**2*(l + 1)**2
Let t(s) be the third derivative of 1/360*s**6 + 0 + 1/120*s**5 + 0*s**4 + 1/2*s**3 - 4*s**2 + 0*s. Let w(a) be the first derivative of t(a). Factor w(c).
c*(c + 1)
Let n(z) = 2*z**3 - 42*z**2 - 8*z. Let t(b) = -b**3 + 17*b**2 + 3*b. Let u(g) = 5*n(g) + 12*t(g). Solve u(q) = 0.
-2, -1, 0
Let f(c) be the third derivative of c**8/4032 + c**7/630 - c**6/180 - c**5/60 + 4*c**2. Let j(d) be the third derivative of f(d). Suppose j(t) = 0. Calculate t.
-2, 2/5
Let d(u) be the third derivative of 0*u**3 + 0*u**5 + 0*u**4 + 1/300*u**6 + 0 + 0*u**7 + 2*u**2 + 0*u - 1/840*u**8. Factor d(j).
-2*j**3*(j - 1)*(j + 1)/5
Let f = 49/2 + -23. Suppose 0*h + 3*h = 0. Solve 0 + i + h*i**3 + 1/2*i**4 - f*i**2 = 0.
-2, 0, 1
Suppose 0*w = -2*w. Suppose 3*k = g - 5, -4*g - 9 + 29 = 2*k. Factor 2/5*t - 8/5*t**3 + k + w*t**2.
-2*t*(2*t - 1)*(2*t + 1)/5
Let f(d) be the first derivative of d**6/120 + d**5/30 - 3*d**2/2 - 2. Let w(n) be the second derivative of f(n). Let w(p) = 0. What is p?
-2, 0
Let u(o) be the third derivative of 1/240*o**5 - 3*o**2 + 1/480*o**6 - 1/24*o**3 + 0*o + 0 - 1/96*o**4. Factor u(v).
(v - 1)*(v + 1)**2/4
Let o be (-2)/11 - (140/(-44) - -3). Factor -1/3*m**2 + 0*m + o - 1/3*m**3.
-m**2*(m + 1)/3
Suppose 0 = -i + 4 + 1. Suppose -2*n + 37 = n + x, 0 = -i*x - 10. Factor 8*v**4 + n*v**3 - 3*v**4 + v + 9*v**2 + v**4 + v.
v*(v + 1)*(2*v + 1)*(3*v + 2)
Let h(l) be the first derivative of l**7/2100 - l**6/900 - l**5/150 + 2*l**3 + 5. Let z(d) be the third derivative of h(d). Factor z(g).
2*g*(g - 2)*(g + 1)/5
Let r be 2 + (-75)/36 + 6/8. Factor 8/3 - 8/3*v + r*v**2.
2*(v - 2)**2/3
Let f(t) be the third derivative of t**7/105 + t**6/15 - t**5/10 - 3*t**4/2 + 11*t**2. Let f(k) = 0. What is k?
-3, 0, 2
Let q(s) be the first derivative of -2 - 1/3*s**3 + 0*s**2 + 1/2*s**4 - 1/5*s**5 + 0*s. Solve q(c) = 0 for c.
0, 1
Factor 3*w**3 + 0*w + 3 + 4*w**2 + 5*w**2 + 9*w.
3*(w + 1)**3
Let w(u) be the first derivative of -2*u**3/21 - 5*u**2/7 - 8*u/7 + 13. Factor w(k).
-2*(k + 1)*(k + 4)/7
Let z be (-290)/(-44) + -3 - 2. Let x = z - 12/11. Factor 1 + x*c - c**2 - 1/2*c**3.
-(c - 1)*(c + 1)*(c + 2)/2
Let p(s) be the first derivative of -s**4/20 + 3*s**2/10 + 2*s/5 - 27. Determine u so that p(u) = 0.
-1, 2
Let v = 2/639 + 2546/3195. Find s, given that 0 + 2/5*s**2 + v*s = 0.
-2, 0
Suppose -15 = -5*v + 3*s - 3, 4*s = 5*v - 11. Factor i**3 - 4*i**4 - 14*i - 21*i**v - 32*i**2 - 2*i.
-4*i*(i + 1)*(i + 2)**2
Factor -18/7 - 2/7*z**2 - 12/7*z.
-2*(z + 3)**2/7
Let p be 24/40 - 14/(-10). Let f(m) be the first derivative of 0*m**p - 5/6*m**6 + 0*m - 9/4*m**4 - 2/3*m**3 - 1 - 12/5*m**5. Find a, given that f(a) = 0.
-1, -2/5, 0
Factor -12/7 - 10/7*l - 2/7*l**2.
-2*(l + 2)*(l + 3)/7
Let s(w) be the second derivative of 3*w + 0 + 2/195*w**6 + 0*w**2 + 0*w**4 - 1/130*w**5 + 0*w**3 - 1/273*w**7. Suppose 