 Suppose g(h) = 0. Calculate h.
-2, -1
Let w be (-2)/(-7) - (-6)/420*-6. Suppose 0*k + 7/5*k**2 - 4/5 - w*k**5 - 3/5*k**4 + 1/5*k**3 = 0. Calculate k.
-2, -1, 1
Let t(r) be the third derivative of r**7/70 + r**6/25 - 9*r**5/100 - r**4/5 + 2*r**3/5 - 28*r**2. Let t(p) = 0. What is p?
-2, -1, 2/5, 1
Suppose -11*p = -16*p - 20, 2*f + 5*p + 16 = 0. Solve 4/9*i**3 - 4/9*i + 2/9*i**4 + 0 - 2/9*i**f = 0.
-2, -1, 0, 1
Let a(f) be the first derivative of -2*f**5/5 + 11*f**4/4 - 3*f**3 - 3*f**2/2 + f - 2. Let b(j) = j**4 - j**2 + j + 1. Let c(z) = a(z) - b(z). Solve c(d) = 0.
-1/3, 0, 2
Let a(z) be the first derivative of z**5/140 - 3*z**4/56 + z**3/7 + 5*z**2/2 + 4. Let y(p) be the second derivative of a(p). Determine f, given that y(f) = 0.
1, 2
Suppose 7*n - 54 = -26. Factor 0*y**3 + 0*y - 2/3*y**2 + 1/3 + 1/3*y**n.
(y - 1)**2*(y + 1)**2/3
Let a(j) be the first derivative of 2*j**6/3 + 4*j**5/5 - 3*j**4 - 20*j**3/3 - 4*j**2 + 8. Determine u so that a(u) = 0.
-1, 0, 2
Let b(j) be the second derivative of -j**5/60 - j**4/18 + 2*j**3/9 + 4*j**2/3 - 48*j. Suppose b(y) = 0. What is y?
-2, 2
Factor 0 - 1/2*p**2 - 1/4*p - 1/4*p**3.
-p*(p + 1)**2/4
Let g(c) = 7*c**5 + 23*c**4 + 8*c**3. Let t(a) = a**4 + a**2. Let r(p) = g(p) - 4*t(p). Factor r(n).
n**2*(n + 1)*(n + 2)*(7*n - 2)
Let b be 10/(-4)*(-20)/25. Find g, given that 2*g**2 - b*g**2 - g**2 + 3*g**2 = 0.
0
Let d(f) = f**4 + f**3 - f**2 + f + 1. Let q(b) = -4*b - 2. Let j(w) = 2*d(w) + q(w). Factor j(i).
2*i*(i - 1)*(i + 1)**2
Factor 0 - 2/13*f**5 - 10/13*f**2 + 2/13*f**4 + 6/13*f**3 + 4/13*f.
-2*f*(f - 1)**3*(f + 2)/13
Suppose -3/2*m**3 + 3/2*m**5 - 3/2*m**2 + 3/2*m**4 + 0*m + 0 = 0. What is m?
-1, 0, 1
Let v be 0*(-2 + -1)/(-6). Suppose v = -6*w + 2*w. Factor 1/4*q**4 + 0*q**2 - 1/4*q**3 + 0 + w*q.
q**3*(q - 1)/4
Let t(b) be the first derivative of b**3/3 + 9*b**2/2 + 8*b + 37. Factor t(y).
(y + 1)*(y + 8)
Let w(x) be the first derivative of 3*x**5 + 33*x**4/2 + 33*x**3 + 30*x**2 + 12*x - 12. Determine y, given that w(y) = 0.
-2, -1, -2/5
Let h(a) be the first derivative of a**6 - 39*a**5/10 + 33*a**4/8 - a**3 - 2. Determine g so that h(g) = 0.
0, 1/4, 1, 2
Let v = -28 + 28. Let f(u) be the first derivative of v*u**3 + 2 - 1/16*u**4 + 0*u + 1/8*u**2. Let f(r) = 0. What is r?
-1, 0, 1
Factor -y**4 - y + y**2 + 63*y**3 - 27*y**3 - 35*y**3.
-y*(y - 1)**2*(y + 1)
Let g(f) be the third derivative of 2/15*f**3 - 1/120*f**6 + 3/560*f**8 + 0*f**4 + 1/70*f**7 - f**2 + 0 + 0*f - 1/20*f**5. Find q such that g(q) = 0.
-1, 2/3
Suppose -q - 1 + 7 = 0. Factor -2*a**3 - 5*a**2 + 10*a + 0*a**3 - q + 0 + 3*a**2.
-2*(a - 1)**2*(a + 3)
Let x(r) be the third derivative of r**6/360 - r**5/120 - r**3 + 6*r**2. Let j(k) be the first derivative of x(k). Let j(v) = 0. Calculate v.
0, 1
Let i(f) be the third derivative of f**6/160 - f**5/80 - 9*f**2. Solve i(y) = 0 for y.
0, 1
Let k(m) = m**3 - 2*m**2 + m. Let v be k(2). Suppose 24*y**3 - 20*y**v - 4*y**2 + 6*y**2 - 9*y**4 + 3 = 0. Calculate y.
-1/3, 1
Let q be ((-8)/3)/(2/(-3)). Determine w so that 2*w**2 - 4*w - 4*w**q + w**5 + 2*w**4 + 6*w**3 - 3*w**5 = 0.
-2, -1, 0, 1
Let u = 74 - 69. Let o(a) be the third derivative of 2*a**2 - 1/5*a**u + 0*a**3 + 3/40*a**6 + 0 + 0*a + 1/6*a**4. Factor o(t).
t*(3*t - 2)**2
Let y(b) be the first derivative of 0*b - 1/6*b**3 - 1/2*b**2 + 4. Suppose y(r) = 0. Calculate r.
-2, 0
Let r(y) be the second derivative of -y**6/10 + 3*y**5/10 + y**4/4 - y**3 + 20*y. Factor r(v).
-3*v*(v - 2)*(v - 1)*(v + 1)
Let u(w) = -3*w**2 - w - 1. Let p(k) = -4*k**2 - 2*k - 1. Let d(l) = 2*p(l) - 3*u(l). Let v(b) = b**3 - 7*b**2 + 6*b - 6. Let i(s) = 6*d(s) + v(s). Factor i(t).
t**2*(t - 1)
Let h(i) = -i**3 - 6*i**2 - i - 3. Let v be h(-6). Suppose 0 = -4*p + 104 + 88. Factor -11*k**4 + 8*k**4 + 0*k - 51*k**v - 12*k - 12*k**4 - p*k**2.
-3*k*(k + 1)*(k + 2)*(5*k + 2)
Let c be ((-2)/(-3) - 1)/((-6)/36). Suppose 3/4*v**3 + 3/4*v**c + 0 + 0*v = 0. Calculate v.
-1, 0
Let a(l) be the first derivative of l**5/100 - l**4/15 + l**3/6 - l**2/5 + 8*l + 2. Let u(f) be the first derivative of a(f). Find g such that u(g) = 0.
1, 2
Let j(d) be the second derivative of -d**5/30 - 5*d**4/9 - 32*d**3/9 - 32*d**2/3 - 16*d. Suppose j(o) = 0. What is o?
-4, -2
Let o(h) be the first derivative of 3*h**5/20 - h**4/2 + h**3/2 + 7*h + 4. Let a(x) be the first derivative of o(x). Find f such that a(f) = 0.
0, 1
Let m(w) = -14*w**2 - 4*w - 20. Let o(u) = u**2 - u - 1. Let y(n) = -m(n) - 12*o(n). Find t, given that y(t) = 0.
-4
Factor 2*z**2 - 12*z**5 - 26*z**4 + 2*z**5 - 4*z + 8*z - 18*z**3.
-2*z*(z + 1)**3*(5*z - 2)
Let i(z) = z**2 + 3*z - 10. Let g be i(-5). Let f(n) be the second derivative of 0*n**2 + 1/30*n**4 + g + 2/15*n**3 - n. Suppose f(y) = 0. Calculate y.
-2, 0
Factor -2*z - 1/4*z**3 - 1 - 5/4*z**2.
-(z + 1)*(z + 2)**2/4
Factor -33*w**3 + 6*w**3 - 3*w**5 - 6*w + 30*w**2 + 15*w**4 - 9*w**2.
-3*w*(w - 2)*(w - 1)**3
Let z(y) be the first derivative of -y**6/180 - y**5/15 - y**4/3 - 2*y**3/3 + 2. Let t(w) be the third derivative of z(w). Factor t(q).
-2*(q + 2)**2
Let l(g) = g**2 + 9*g - 4. Let p(n) be the first derivative of 1/3*n**3 - 3*n + 4*n**2 - 2. Let d(i) = 5*l(i) - 6*p(i). Factor d(t).
-(t + 1)*(t + 2)
Let z(d) = d**2 - 5*d - 7. Let k be z(7). Find w, given that -3*w + k*w + w**2 - 2*w = 0.
-2, 0
Let a(y) be the first derivative of -y**6/6 + y**5/5 + 3*y**4/4 - y**3/3 - y**2 + 18. Find o such that a(o) = 0.
-1, 0, 1, 2
Suppose 5*z - 2 - 13 = 0. Factor -2/11 + 0*i**z - 2/11*i**4 + 4/11*i**2 + 0*i.
-2*(i - 1)**2*(i + 1)**2/11
Let a(p) be the third derivative of 1/105*p**7 + 0*p**3 - 1/30*p**5 + 0 + 4*p**2 + 1/168*p**8 + 0*p**4 + 0*p - 1/60*p**6. Let a(z) = 0. What is z?
-1, 0, 1
Find n such that 3*n + 3/2*n**2 + 3/2 = 0.
-1
Let b(x) be the first derivative of -x**5/80 + x**2 + 7. Let r(j) be the second derivative of b(j). What is k in r(k) = 0?
0
Let j(a) be the first derivative of 0*a + 4 + 1/8*a**3 + 1/32*a**4 + 1/8*a**2. Let j(n) = 0. What is n?
-2, -1, 0
Let j(z) be the first derivative of -z**7/168 - z**6/120 + z**5/60 - z**3 - 2. Let n(x) be the third derivative of j(x). Let n(l) = 0. What is l?
-1, 0, 2/5
Let i(f) = -3*f - 2. Let n be i(-3). Suppose -5*s = -n*s. Factor -1/3*j + s + 2/3*j**2 - 1/3*j**3.
-j*(j - 1)**2/3
Factor -10 + 5*h - 602*h**2 + 1208*h**2 - 601*h**2.
5*(h - 1)*(h + 2)
Let p(n) be the second derivative of -n**7/336 - n**6/48 - 7*n**5/160 + n**4/96 + n**3/6 + n**2/4 - 4*n. Solve p(i) = 0 for i.
-2, -1, 1
Suppose -o - 2*i + 7 = 4*o, -20 = 5*i. Factor -2*a - 2*a - 3*a**o - 4*a**2 + 2*a**2 + 5*a**3.
2*a*(a - 2)*(a + 1)
Suppose 8*c = 7*c - 10. Let p be (-2)/c*3/1. Factor -2/5*o - 1/5*o**3 + 0 - p*o**2.
-o*(o + 1)*(o + 2)/5
Let s(j) be the second derivative of -j**8/23520 + j**6/2520 - j**4/4 + 2*j. Let d(x) be the third derivative of s(x). Factor d(v).
-2*v*(v - 1)*(v + 1)/7
Let d be 1/(-6)*7/(-280). Let m(i) be the third derivative of 0*i + 0*i**7 + 0*i**5 + 1/672*i**8 + 0 + 4*i**2 + 0*i**4 + 0*i**3 - d*i**6. Factor m(q).
q**3*(q - 1)*(q + 1)/2
Suppose 3*k + 86 = 92. Suppose 0*s**4 - 3/5*s**3 + 1/5*s**5 - 2/5*s**k + 0 + 0*s = 0. What is s?
-1, 0, 2
Factor -20*w**2 - 366*w - 4*w**3 - 10 + 341*w - w**3.
-5*(w + 1)**2*(w + 2)
Let l be 6 + (20/5 - 6). Let w(j) be the second derivative of 0*j**2 + 1/6*j**l + 0 - 1/3*j**3 + j. Suppose w(i) = 0. Calculate i.
0, 1
Let a = -1 + 1. Find v, given that -2*v**3 + a*v**2 + 4*v**2 - 2*v**2 = 0.
0, 1
Let y(c) be the first derivative of -c**5/15 + 3*c**4/4 - 3*c**3 + 9*c**2/2 - 6. Determine j so that y(j) = 0.
0, 3
Let g(k) be the second derivative of k**7/840 - k**6/80 + k**5/20 - k**4/12 - 2*k. Let p(z) be the third derivative of g(z). Factor p(v).
3*(v - 2)*(v - 1)
Let y(b) = -b**2 + 1. Let o(z) = -6*z - 6. Let t(k) = o(k) + 4*y(k). Suppose t(l) = 0. Calculate l.
-1, -1/2
Solve -2*m**2 + 15 + 12*m**2 - 16 - 9*m**2 = 0 for m.
-1, 1
Factor -8*t + 4*t**2 + 2 + 10 - 24.
4*(t - 3)*(t + 1)
Find f, given that -4*f**2 + f + 2 + 7*f - 6 = 0.
1
Let t(g) = g**3 - 4*g**2 - g + 7. Let h be t(4). Let p = 3 - h. Factor p*s**3 + 2/3*s**2 + 4/9*s - 2/9*s**4 + 0.
-2*s*(s - 2)*(s + 1)**2/9
Let q = 2/95 + 87/380. Let i(l) be the second derivative of -5/6*l**6 - 1/3*l**3 + 3/14*l**7 + 21/20*l**5 - l + 0*l**2 + 0 - q*l**4. Factor i(f).
