h?
-2/7, 0
Suppose -2*t + 2 = -t. Factor -4*m**t + 7*m - 4*m - 2*m**2.
-3*m*(2*m - 1)
Factor -1/8*b**2 + 1/8 + 0*b.
-(b - 1)*(b + 1)/8
Suppose -2*g - g + 9 = 0. Solve g*b**2 - 3*b - 3*b + 0*b = 0.
0, 2
Let c(r) = -6*r**4 + 4*r**3 + 3*r**2 - 7. Let j(n) = -n**4 + n**3 + n**2 - 1. Let m(g) = 5*c(g) - 35*j(g). Let m(q) = 0. Calculate q.
-1, 0, 4
Let z = -7 + 10. Suppose z*x = 5*x - 8. Factor -3*b**4 - 9*b**2 + 3*b**2 - 2*b + 2*b**x - b**4 - 6*b**3.
-2*b*(b + 1)**3
Let k(u) = -4*u**4 + 23*u**3 + 41*u**2 - 33*u - 37. Let m(x) = 12*x**4 - 68*x**3 - 124*x**2 + 100*x + 112. Let i(p) = -16*k(p) - 5*m(p). Factor i(d).
4*(d - 8)*(d - 1)*(d + 1)**2
Let d(o) be the first derivative of o**6/2 + 6*o**5/5 - 9*o**4/4 - 4*o**3 + 6*o**2 - 18. Factor d(z).
3*z*(z - 1)**2*(z + 2)**2
Let 2*i**3 - 4*i**3 + 5*i**3 - 9*i - 15 + 9 = 0. Calculate i.
-1, 2
Let u be (-1)/(-3)*72/(-48)*0. Factor u - 1/2*g**4 - g**2 + 0*g + 3/2*g**3.
-g**2*(g - 2)*(g - 1)/2
Let r(l) = -2*l**3 + 2*l**2 + l. Let j(n) = n**3 + 9*n**2 + 13*n**2 - 23*n**2 - n. Let v(c) = -j(c) - r(c). Factor v(y).
y**2*(y - 1)
Let u(z) be the second derivative of -z**4/72 + z**3/3 - 3*z**2 - 42*z. What is m in u(m) = 0?
6
Factor -6*i + 10*i**2 - 10 - i + 5*i + 7*i - 5*i**3.
-5*(i - 2)*(i - 1)*(i + 1)
Let y(m) = -3*m**2 - 9*m + 23. Let i(u) be the second derivative of 0 + u - 11/2*u**2 + 1/12*u**4 + 5/6*u**3. Let o(z) = 7*i(z) + 3*y(z). Solve o(s) = 0 for s.
2
Let p be (-1001)/(-63) + -9 - (-12)/(-2). Factor -p*x**2 + 14/9*x + 4/9.
-2*(x - 2)*(4*x + 1)/9
Let x(w) = -11*w**2 - 35*w - 8. Let m(r) = -r**2 + r. Let a(i) = -3*m(i) - x(i). Factor a(b).
2*(b + 2)*(7*b + 2)
Let i(x) be the second derivative of x**6/10 + 3*x**5/20 - x**4/4 - x**3/2 - 22*x - 1. Suppose i(l) = 0. Calculate l.
-1, 0, 1
Let d = -308 - -668. Let k be (-1 - 1) + d/162. Solve -4/9*z**3 + 2/9*z - k*z**4 - 2/9 + 4/9*z**2 + 2/9*z**5 = 0 for z.
-1, 1
Let v(j) = j**3 + 7*j**2 + 5*j - 3. Let n be v(-6). Let u be n/6*(1 + 1). Find g, given that -g - g**2 - 1 + u = 0.
-1, 0
Let v be (-3 - -10)*(-4)/(-14). Find r, given that -3*r - 10 + 4*r**2 + 4 - 3*r**2 + 2*r**v = 0.
-1, 2
Let l(c) be the first derivative of 2*c**3/7 - 6*c**2 + 42*c - 17. Solve l(f) = 0.
7
Let b be (2 + 0)/(1/3). Factor -3*c + 6 - b*c**2 + 5*c**3 - 2*c**3 + 0.
3*(c - 2)*(c - 1)*(c + 1)
Suppose -5*o + 20 = 0, -2*v = 2*o - 21 + 3. Factor 2 + t**3 - 5*t**3 + 5*t**3 + 4*t**2 + v*t.
(t + 1)**2*(t + 2)
Let o(g) be the third derivative of g**8/336 + g**7/70 - g**6/120 - g**5/20 - g**2. Factor o(k).
k**2*(k - 1)*(k + 1)*(k + 3)
Let f = 313 + -2189/7. Find d such that -f*d**4 + 4/7*d**3 - 2/7*d**5 + 4/7*d**2 - 2/7*d - 2/7 = 0.
-1, 1
Solve 33/2*p**3 - 13*p**2 - 5/2*p**4 - 16 - 48*p = 0.
-1, -2/5, 4
Suppose 0 = 8*p - 6*p + 96. Let v be (-8)/p + (2 - 1). Solve 0 + v*k**4 + 1/3*k**3 - 1/6*k**2 + 0*k + 2/3*k**5 = 0 for k.
-1, 0, 1/4
Let i(v) be the third derivative of v**8/560 + 3*v**7/350 + v**6/100 - 9*v**2. Let i(b) = 0. Calculate b.
-2, -1, 0
Let h(u) be the third derivative of -u**6/720 + u**3/3 + u**2. Let j(n) be the first derivative of h(n). Factor j(p).
-p**2/2
Let i(q) be the first derivative of 32*q**5/35 + 20*q**4/7 + 22*q**3/7 + 10*q**2/7 + 2*q/7 + 13. Factor i(a).
2*(a + 1)**2*(4*a + 1)**2/7
Let m(v) be the second derivative of v**5/10 + v**4/3 + v**3/3 + 26*v. What is w in m(w) = 0?
-1, 0
Let g(b) be the third derivative of -b**8/40320 + b**7/6720 - b**6/2880 + b**5/20 + 4*b**2. Let z(q) be the third derivative of g(q). Factor z(o).
-(o - 1)*(2*o - 1)/4
Suppose 23 = -5*s - 4*z + 72, -2*z - 34 = -4*s. Let y = -6 + s. Factor 4/3*c + 32/3*c**y + 0 - 14/3*c**4 - 22/3*c**2.
-2*c*(c - 1)**2*(7*c - 2)/3
Let -2/7*m**3 - 2*m**2 + 32/7 + 20/7*m = 0. What is m?
-8, -1, 2
Let l = -9 - -12. Let n be (4/16)/(l + -2). Factor 3/4*g - 1/2*g**2 - n - 1/4*g**5 - 1/2*g**3 + 3/4*g**4.
-(g - 1)**4*(g + 1)/4
Let r(m) be the first derivative of 1/6*m**4 + 0*m**3 + 0*m - 1/3*m**2 + 7. Factor r(j).
2*j*(j - 1)*(j + 1)/3
Let h = 48 + -239/5. Factor h*l**2 - 2/5*l + 1/5.
(l - 1)**2/5
Let t(u) = -12*u**3 - 28*u**2 - 44*u - 20. Let g(i) = -8*i**3 - 19*i**2 - 29*i - 13. Let p(a) = 8*g(a) - 5*t(a). Factor p(y).
-4*(y + 1)**3
Let d(z) = 2*z**2 + 6*z + 4. Let c(t) = 5*t**2 + 17*t + 12. Let q(w) = 6*c(w) - 17*d(w). Factor q(h).
-4*(h - 1)*(h + 1)
Let h(d) be the second derivative of d**4/54 + 2*d**3/9 + d**2 + d. Factor h(z).
2*(z + 3)**2/9
Let x(a) be the third derivative of -a**6/80 + a**5/30 - a**4/48 + 12*a**2. Factor x(k).
-k*(k - 1)*(3*k - 1)/2
Let y(j) be the third derivative of -j**8/112 - j**7/35 - j**6/40 - 23*j**2. Determine o, given that y(o) = 0.
-1, 0
Let x = -503 - -505. Factor 0 + 0*r**x + 1/3*r**3 - 1/3*r.
r*(r - 1)*(r + 1)/3
Suppose 20 = 4*n + n. Let v = -2 + n. Find f such that 5*f - 4*f + 4*f**2 - 2*f**v + 0*f - f**5 - 2*f**4 = 0.
-1, 0, 1
Factor q**3 - 195 + 199 + q**4 - 3*q**2 - 4*q + q**3.
(q - 1)**2*(q + 2)**2
Let i(z) be the second derivative of -z**9/1512 - z**8/420 + z**6/90 + z**5/60 + z**3/3 - z. Let j(m) be the second derivative of i(m). Let j(d) = 0. What is d?
-1, 0, 1
Let r(x) be the first derivative of 0*x - 49/2*x**6 - 63/5*x**5 + 18*x**4 + 0*x**2 - 4*x**3 + 3. Factor r(h).
-3*h**2*(h + 1)*(7*h - 2)**2
Let s(w) be the first derivative of -w**6/480 + w**4/96 - w**2 + 3. Let v(j) be the second derivative of s(j). Factor v(t).
-t*(t - 1)*(t + 1)/4
Factor -2/11*n**3 + 14/11*n**2 + 18/11 - 30/11*n.
-2*(n - 3)**2*(n - 1)/11
Let m(s) = s**2 + 2. Let y be m(2). Let c(u) = 3*u**2 - 12*u + 6. Let t(d) = -6*d**2 + 23*d - 11. Let p(z) = y*t(z) + 11*c(z). Determine o, given that p(o) = 0.
0, 2
Let b(a) be the second derivative of a**6/150 - a**5/100 - a**4/20 + a**3/6 - a**2/5 + 42*a. Factor b(q).
(q - 1)**3*(q + 2)/5
Let l(m) be the first derivative of -3/20*m**4 - 1/5*m + 1/3*m**3 - 4/25*m**5 + 4 + 3/10*m**2. Let l(n) = 0. Calculate n.
-1, 1/4, 1
Let a be -1*(2/2 - 1). Suppose 3*o - 4*x = 28, a*o + o - 4*x = 20. What is y in -y**3 - 3*y + o*y + 0*y**3 = 0?
-1, 0, 1
Let y(t) be the first derivative of -20*t**5/3 - 20*t**4/3 - 16*t**3/9 - 26. Factor y(l).
-4*l**2*(5*l + 2)**2/3
Let t(b) be the first derivative of -b**6/90 + b**5/10 - b**4/3 - 10*b**3/3 - 3. Let h(f) be the third derivative of t(f). Solve h(l) = 0 for l.
1, 2
Suppose -2*g + 6 = 2*q, -5*q - 2*g + 16 = -q. Find h, given that -h**3 + 3*h**2 - h**4 + 3*h**q - 2*h**4 - 2*h**3 = 0.
-1, 0, 1
Let d(p) be the second derivative of -p**9/6048 - 5*p**3/6 - 3*p. Let b(s) be the second derivative of d(s). Factor b(n).
-n**5/2
Factor -2*w + 3*w**2 + 1/4*w**4 - 3/2*w**3 + 0.
w*(w - 2)**3/4
Factor -3/4*l**2 + 3 + 0*l.
-3*(l - 2)*(l + 2)/4
Let n(j) be the first derivative of 22*j**5/25 + 12*j**4/5 - 14*j**3/15 - 24*j**2/5 - 8*j/5 - 23. Determine z so that n(z) = 0.
-2, -1, -2/11, 1
Let z(f) = f**3 - 5*f**2 - 5*f - 1. Let c be z(6). Factor 7*x - 6*x - x**2 + c*x + 4*x**2.
3*x*(x + 2)
Factor -2/5*q**4 + 4/5*q**2 + 0*q + 2/5*q**3 + 0.
-2*q**2*(q - 2)*(q + 1)/5
Let b(p) = 5*p**5 - p**4 - 11*p**3 + p**2 + 6*p. Let y(d) = 66*d**5 - 12*d**4 - 144*d**3 + 12*d**2 + 78*d. Let r(w) = -27*b(w) + 2*y(w). Solve r(l) = 0.
-1, 0, 1, 2
Solve 28*c - 16 + 31*c + 28*c**2 - 11*c = 0 for c.
-2, 2/7
Let y(i) be the third derivative of -i**6/120 - 11*i**5/180 - i**4/6 - 2*i**3/9 - 2*i**2. Factor y(v).
-(v + 1)*(v + 2)*(3*v + 2)/3
Let i(y) be the second derivative of 0 - 1/20*y**5 - 2/3*y**3 + 1/3*y**4 + 5*y + 0*y**2. Find h such that i(h) = 0.
0, 2
Let o(s) = -s + 2. Let b(u) = -u**3 - 6*u**2 + 2. Let c be b(-6). Let w be o(c). Find h, given that w + 0 - 2*h + h**2 + 1 = 0.
1
Let j(u) = -u**3 - 5*u**2 + 14*u. Let p be j(-7). Let v(o) be the second derivative of -5/12*o**4 - o + 2*o**2 + p + 4/3*o**3. Solve v(z) = 0.
-2/5, 2
Suppose -a = 2*a. Solve 3*h**2 + a*h**2 + 2 - h**2 + 4*h = 0.
-1
Suppose h = 2*h + 14. Let j be ((-18)/63)/(6/h). Solve -1/3*x + 0 - 1/3*x**3 - j*x**2 = 0.
-1, 0
Find k, given that 8*k**3 + 56*k - 10 - 107*k**2 - 10 + 4*k**4 + 59*k**2 = 0.
-5, 1
Suppose 2*m - w - 2*w - 8 = 0, -2*m + 5*w + 8 = 0. Suppose 2*i**m + 4*i**3 - 6*i**3 + 0*i**3 + 2*i**5 - 2*i**2 + 0*i**5 = 0. What is i?
-1, 0, 1
Suppose 4 = 3*v - 14. Factor -c**4 + 2*c**3 - v*c**3 + 4*c - c**4 + 2.
-2*(c - 1)*(c + 1)**3
Let h(s) be the third derivative of s**5/240 + 5*s**4/24 + 25*s**3/6 