
-1, 0
Let z(g) = -g**3 + 8*g**2 - 6*g - 5. Let v = 12 - 5. Let x be z(v). Suppose t**2 - 2*t**2 - t**x + 2*t**3 + 2*t**4 - 2*t = 0. Calculate t.
-1, 0, 1
Suppose -4*p = -0*p. Suppose 15 = -3*f, 3*d + 3*f - 5*f - 16 = p. Factor -1/3 + 0*o + 1/3*o**d.
(o - 1)*(o + 1)/3
Let i be (-3)/(-1) - (438/42 + -8). Factor 2/7*v**2 + 0 - i*v.
2*v*(v - 2)/7
Suppose 4*g - 189 = 5*n, -n - 137 = -3*g - 2*n. Let f = g - 137/3. Factor 0 - f*v**2 - 1/3*v.
-v*(v + 1)/3
Let u = 3 + -1. Factor g**2 + 2*g - 4*g + 3 - u.
(g - 1)**2
Let j(z) be the second derivative of z**4/24 + z**3/6 + z**2/4 + 6*z. Factor j(p).
(p + 1)**2/2
Suppose 0*y = 3*y - 3, -2*y = s - 2. Let v(l) be the second derivative of l - 1/40*l**5 + s - l**3 + 1/4*l**4 + 2*l**2. Suppose v(t) = 0. Calculate t.
2
Let h = -43 - -47. Let p(n) be the third derivative of 0*n**3 - 1/60*n**h + 1/150*n**6 + 0*n**5 + 0*n**7 + 0*n + 0 + 2*n**2 - 1/840*n**8. Solve p(o) = 0 for o.
-1, 0, 1
Let b(j) be the second derivative of -j**7/1680 - j**6/720 + j**5/240 + j**4/48 - j**3/6 - 2*j. Let l(w) be the second derivative of b(w). Solve l(g) = 0 for g.
-1, 1
Let x be (-3*(-1)/2)/((-69)/(-92)). Let g(w) be the second derivative of x*w + 7/12*w**4 + 0 + 0*w**2 + 1/3*w**3. Find p such that g(p) = 0.
-2/7, 0
Find o, given that -4/7*o**4 - 20/7*o**2 - 16/7*o**3 - 8/7*o + 0 = 0.
-2, -1, 0
Let t(r) = -30*r**4 + 9*r**3 - r**2 - 11*r. Let g(l) = 15*l**4 - 4*l**3 + l**2 + 6*l. Let h(n) = -11*g(n) - 6*t(n). What is a in h(a) = 0?
-1/3, 0, 1
Suppose 0 = -3*f + 2*c + 15, 0*c = 4*c + 12. Suppose -5*d = -l + 23, -5 = f*l - 4*d - 30. Find a, given that -a**3 + a - 3 + l + 0 = 0.
-1, 0, 1
Let r be ((-2)/(-24))/(4*4/48). Solve -2*j**3 + 0 + 1/2*j + 5/4*j**4 + r*j**2 = 0.
-2/5, 0, 1
Let s(p) be the first derivative of -p**6/9 - 2*p**5/15 + p**4/3 + 4*p**3/9 - p**2/3 - 2*p/3 + 54. Determine l so that s(l) = 0.
-1, 1
Let m be -4 + 64*2/20 + 0. Suppose m*f - 18/5 - 2/5*f**2 = 0. What is f?
3
Let o = -2 + 10. Suppose -5*z + 2*t = 0, -2*z + 21 + o = 5*t. Let 3 - 2*v**4 - 2*v**3 + 2*v**2 - 3 + z*v**5 = 0. What is v?
-1, 0, 1
Let b be ((-12)/30)/((-7)/(-35)*-4). Find y such that 1/2*y**3 - b*y**4 - 1 + 3/2*y**2 - 1/2*y = 0.
-1, 1, 2
Determine f so that -2/5*f**3 - 1/5*f**5 + 0 + 3/5*f**4 + 0*f**2 + 0*f = 0.
0, 1, 2
Factor -2*j - 1 + 5/4*j**2.
(j - 2)*(5*j + 2)/4
Let r(j) = j**3 + 20*j**2 + 36*j. Let l be r(-18). Let a(f) be the first derivative of 1 + 0*f - 1/2*f**4 + l*f**3 + 2/5*f**5 + 0*f**2. Factor a(q).
2*q**3*(q - 1)
Find j such that -1 + 0*j + j - j**3 + 1 = 0.
-1, 0, 1
Let o = -8 + 10. Factor -2*s**2 - 6*s**2 - s + s**2 + o*s**2.
-s*(5*s + 1)
Let n(p) be the first derivative of -2*p**3/15 - 2*p**2/5 + 3. Factor n(c).
-2*c*(c + 2)/5
Factor -2/5*c**2 + 2/5*c**4 + 1/5*c**3 - 1/5*c + 0.
c*(c - 1)*(c + 1)*(2*c + 1)/5
Let m be (1 + 68/(-12))*-3. Let q = m + -12. Suppose 0*y + 0 + 1/2*y**3 + 1/2*y**q = 0. What is y?
-1, 0
Let r(t) be the first derivative of t**7/180 - t**6/144 - t**5/40 + 5*t**4/144 + t**3/18 - t**2/2 - 5. Let s(x) be the second derivative of r(x). Factor s(p).
(p - 1)**2*(p + 1)*(7*p + 2)/6
Let o(c) = -c**3 - c**2 - 3*c - 2. Let f be o(-2). Let b = 12 - f. Factor -3*a + 1 + a**2 + b*a - 3*a.
(a - 1)**2
Find d such that -9/5*d**3 + 0 - 24/5*d**2 - 4*d - 1/5*d**4 = 0.
-5, -2, 0
Let x = -1 - -3. Let f(a) = -a**2 - 6*a - 6. Let h be f(-4). Factor h*m**2 + 3*m**x - 4*m**2.
m**2
Let y = 21 + -18. Let b(m) be the first derivative of -2 - 2/3*m**y - 3/2*m**2 - m. Factor b(h).
-(h + 1)*(2*h + 1)
Let s(f) be the first derivative of -f**5/20 - 3*f**4/8 - f**3 - f**2 - 2. Let p(j) be the second derivative of s(j). What is a in p(a) = 0?
-2, -1
Determine d, given that -2/3*d**2 + 28/3*d**5 - 4/3 + 26*d**4 + 62/3*d**3 - 6*d = 0.
-1, -2/7, 1/2
Let t(j) = 2*j**2 - 23*j + 21. Let v(w) = w**2 - 11*w + 10. Let l(y) = -4*t(y) + 9*v(y). Determine o, given that l(o) = 0.
1, 6
Let c(u) = 4*u**4 + u**3 - 3*u**2 - u - 4. Let d(w) = 7*w**4 + w**3 - 5*w**2 - w - 7. Let x(y) = 5*c(y) - 3*d(y). Find o such that x(o) = 0.
-1, 1
Let x(s) = s**3 + 2*s**2 - 2*s - 2. Let b be x(-2). Let w(o) be the first derivative of 3 - 2/9*o**3 + 1/3*o**b + 4/3*o. Determine i, given that w(i) = 0.
-1, 2
Let l(r) be the second derivative of r**7/56 - 3*r**6/40 - 9*r**5/40 + 7*r**4/4 - 3*r**3 + 3*r. Find z, given that l(z) = 0.
-3, 0, 2
Suppose 33 = 3*z + 3. Let i be 15/z*(0 + 2). Let -1/3*r**i + 0 + 0*r**2 + 1/3*r = 0. Calculate r.
-1, 0, 1
Let f(s) = -6*s**2 + s. Let h(l) = -2*l**2 + 3*l**2 - 6*l**2 + l + 0*l. Let t(b) = 2*f(b) - 3*h(b). Find n, given that t(n) = 0.
0, 1/3
Let y(k) be the first derivative of -4*k**5/5 - k**4 + 4*k**3 + 10*k**2 + 8*k + 10. Suppose y(d) = 0. What is d?
-1, 2
Factor -52*m**2 + 103*m**2 - 128*m - 1024 - 55*m**2.
-4*(m + 16)**2
Factor -2/5*p**4 + 0 + 0*p**2 + 0*p + 4/5*p**3.
-2*p**3*(p - 2)/5
Suppose v + 4*a = 27 - 3, 0 = 2*v + 5*a - 33. Let -7*g**4 + 5*g**3 - 2*g**2 + 0*g**4 + v*g**2 = 0. What is g?
-2/7, 0, 1
Let o be 4 - 0/4*2/2. What is p in -1/4 + 2*p**3 - 15/4*p**2 + 4*p**o - 2*p = 0?
-1, -1/4, 1
Factor -1/3*t**2 + 0 - 2/3*t**3 + 0*t - 1/3*t**4.
-t**2*(t + 1)**2/3
Let d(h) be the first derivative of 4*h**3/3 - 10*h**2 + 16*h - 6. Let d(g) = 0. What is g?
1, 4
Suppose -4*r = -4, l = -0*l - 2*r + 4. Factor -4/3*z - 1/3*z**l - 4/3.
-(z + 2)**2/3
Let p(o) = -o**3 - o**2 + o + 3. Let j be p(0). Factor -j*c**4 + 2*c**5 + 0*c**4 + 4*c**4 + 3*c**4 + 2*c**3.
2*c**3*(c + 1)**2
Factor 0 - 1/5*s**3 + 3/5*s**4 - 2/5*s**2 + 0*s.
s**2*(s - 1)*(3*s + 2)/5
Determine f so that 16 + 0*f - 2184*f**2 - 4*f + 2182*f**2 = 0.
-4, 2
Let o(g) be the third derivative of g**7/735 - g**6/210 + g**4/42 - g**3/21 + 2*g**2. Factor o(t).
2*(t - 1)**3*(t + 1)/7
Let s(r) be the first derivative of -r**5/10 + r**4/6 - r**3/18 - 3. Factor s(m).
-m**2*(m - 1)*(3*m - 1)/6
Suppose 4*t - 169 + 18 = 3*i, 0 = -3*i + 9. Let h = -24 + t. Factor -h*l - 2 - 45/2*l**2 + 81/2*l**3.
(l - 1)*(9*l + 2)**2/2
Let r = 18 - 52/3. Let u(j) be the first derivative of 1 + 0*j - j**4 - 2/5*j**5 + 0*j**2 - r*j**3. Factor u(d).
-2*d**2*(d + 1)**2
Let a(l) be the first derivative of -l**7/2310 + l**6/1980 + l**5/132 + l**4/66 - l**3 + 1. Let c(y) be the third derivative of a(y). Let c(d) = 0. What is d?
-1, -1/2, 2
Factor -3*a**3 - 15*a - 2 + 3*a**2 - 10*a**2 + 2*a**3 - 7.
-(a + 1)*(a + 3)**2
Let m(a) = a**5 - a**4 - a**2 - a - 1. Let p(q) = -q**5 - q**4 - 2*q**3 + 7*q**2 + 3*q + 3. Let t(c) = 6*m(c) + 2*p(c). Suppose t(g) = 0. Calculate g.
-1, 0, 1, 2
Let u(t) be the third derivative of -t**7/42 + t**6/60 + t**5/12 - t**4/12 - 44*t**2. Factor u(n).
-n*(n - 1)*(n + 1)*(5*n - 2)
Let d(n) = -n**3 + n**2 + 7*n + 5. Let w(m) = -m - 1. Let g be (-108)/(-16) - 3/4. Let s(l) = g*w(l) + d(l). Suppose s(b) = 0. What is b?
-1, 1
Let l(t) be the second derivative of t**9/10584 + t**8/5880 + t**3/2 - t. Let x(d) be the second derivative of l(d). Find w, given that x(w) = 0.
-1, 0
Let j(q) = 6870*q**5 - 9565*q**4 - 8110*q**3 - 680*q**2 + 480*q + 70. Let b(u) = -u**5 + u**4 - u**3 + 1. Let f(n) = 10*b(n) + j(n). Let f(i) = 0. What is i?
-2/7, 1/4, 2
Factor -4/5*o**4 - 2/5*o**5 + 0*o + 0*o**2 + 0 - 2/5*o**3.
-2*o**3*(o + 1)**2/5
Find x, given that 3/4*x + 1/4*x**5 - x**3 + 1/2 + 0*x**4 - 1/2*x**2 = 0.
-1, 1, 2
Let v be ((-3)/(-2))/(-1)*28/(-21). Let u(q) be the first derivative of -1/16*q**4 - q**v - q - 5/12*q**3 + 1. Factor u(j).
-(j + 1)*(j + 2)**2/4
Let k = -328 - -328. Factor 0*a**4 + 0 + k*a**2 + 1/4*a**3 - 1/4*a**5 + 0*a.
-a**3*(a - 1)*(a + 1)/4
Factor 17*t**2 + 2*t**3 - t**3 + 1 - 14*t**2 + 3*t + 0.
(t + 1)**3
Let g be ((-26)/2)/(3 - 4). Factor 6*y**2 - 11 + 8 - g*y**4 + 10*y**4.
-3*(y - 1)**2*(y + 1)**2
Let a(m) be the first derivative of -3*m**5/10 - 9*m**4/8 - m**3 + 16. Factor a(p).
-3*p**2*(p + 1)*(p + 2)/2
Let n(l) be the second derivative of -l**4/16 - l**3 - 21*l**2/8 - 38*l. Factor n(z).
-3*(z + 1)*(z + 7)/4
Let v(y) be the first derivative of y**5/3 - 5*y**4/6 + 5*y**3/9 + 33. Determine w, given that v(w) = 0.
0, 1
Suppose -5*p + 32 = -3. Let b(r) = -9*r**3 - 11*r**2 + 5*r - 7. Let k(u) = -4*u**3 - 5*u**2 + 2*u - 3. Let h(m) = p*k(m) - 3*b(m). Factor h(t).
-t*(t + 1)**2
Let d be 1*(-1 + 3) - -12. Suppose -6 + d = 4*c. Suppose 0*a**c + 0*a - 1/3*a**4 + 0 + 1/3*a**5 - 2/3*a**3 = 0. Calculate a.
-