 + 7*a. Suppose i(c) = 0. What is c?
-1, 0
Let 9*f**2 - 6 + f**4 + 3 + 3*f**3 + 7*f + 5 + 2*f**3 = 0. Calculate f.
-2, -1
Suppose -2*l = -l - 6. Suppose w - 4*w = -l. Determine o, given that 2*o - o**w + 0 - 1 + 0*o**2 = 0.
1
Let x(j) be the third derivative of j**8/60480 - j**7/15120 - j**5/60 - 2*j**2. Let o(w) be the third derivative of x(w). Determine k, given that o(k) = 0.
0, 1
Let s(h) be the second derivative of 9*h**5/20 - 5*h**4/4 + h**3 + 6*h. Determine b so that s(b) = 0.
0, 2/3, 1
Let p(i) be the second derivative of -1/8*i**2 + 5*i - 1/48*i**4 - 1/12*i**3 + 0. Suppose p(d) = 0. Calculate d.
-1
Let u(q) = -3 - 8*q**3 + 2*q - q - 3*q**2 + 4*q**3. Let p(k) = -k**2 + 2*k**3 - 1 + 0 - 3*k**3 + 0*k**2. Let m(o) = -3*p(o) + u(o). Factor m(f).
-f*(f - 1)*(f + 1)
Find v, given that -3*v**3 + 5*v + 3*v**5 - 3*v**2 + 0*v**3 - 5*v + 3*v**4 = 0.
-1, 0, 1
Let a = 185/3 - 61. Factor 2/3*y**2 + a + 4/3*y.
2*(y + 1)**2/3
Let o be -28 - (-2)/(-4)*-2. Let j = 55/2 + o. Find t such that -t**2 - j*t - 1/2*t**3 + 0 = 0.
-1, 0
Let w(s) be the first derivative of 2*s**5/55 + 3*s**4/22 + 2*s**3/11 + s**2/11 - 3. Factor w(j).
2*j*(j + 1)**3/11
Let b(w) = -w**2 + 7*w + 2. Let k be b(7). Find y such that -y**4 - 2*y**4 - 3*y - 3*y**2 + 6*y**4 - k*y**3 + 5*y**3 = 0.
-1, 0, 1
Let p = -62 + 65. What is x in 0*x**2 + 0*x + 0 + 1/3*x**p - 1/3*x**4 = 0?
0, 1
Let x(j) be the third derivative of j**8/84 + 2*j**7/105 - 4*j**2. Let x(d) = 0. Calculate d.
-1, 0
Let s(q) = -4 - 2*q - q - 5. Let d be s(-9). Factor 4*c - d*c**3 + 2*c**3 + 2*c**3 - 10*c**2.
-2*c*(c + 1)*(7*c - 2)
Let n = 174 + -170. Factor -1/4*g + 1/4 - 1/2*g**2 + 1/4*g**n + 1/2*g**3 - 1/4*g**5.
-(g - 1)**3*(g + 1)**2/4
Factor 3/2*w + 0*w**2 - 1/2*w**3 + 1.
-(w - 2)*(w + 1)**2/2
Let p be 152/42 - (-2)/(-7). Let n = p + -3. Solve 0*g**4 + 0 + 2/3*g**3 - n*g + 0*g**2 - 1/3*g**5 = 0 for g.
-1, 0, 1
Factor 0 + 0*a**2 - 2/5*a**3 + 0*a.
-2*a**3/5
Suppose o - 3*k = 19, -4*o + 4*k + 0*k + 60 = 0. Suppose b + o - 16 = 0. Factor 4/9 + 2/9*y - 8/9*y**2 - 2/3*y**b.
-2*(y + 1)**2*(3*y - 2)/9
Let s(g) = g**2 - 6*g - 6. Let f be s(6). Let k be (-6)/(0 - f/(-3)). Factor 4*o**k - o - o**2 + 0*o**3 - 3*o**3 + o**4.
o*(o - 1)*(o + 1)**2
Let p(d) be the first derivative of 1/4*d**6 + 0*d**2 + 0*d**5 - 9/8*d**4 + 8 - d**3 + 0*d. Determine r so that p(r) = 0.
-1, 0, 2
Let b(s) be the first derivative of s**4/10 - 2*s**3/5 + 2*s**2/5 + 18. Factor b(v).
2*v*(v - 2)*(v - 1)/5
Let t(n) be the first derivative of n**7/2940 - n**6/630 + n**3/3 + 3. Let b(a) be the third derivative of t(a). Let b(m) = 0. What is m?
0, 2
Let u be (-6)/4 + (-31)/(-2). Suppose u = -2*z + 4*t, -9 = 2*z - 0*t - 3*t. What is x in 0 - 2/3*x - 2*x**z + 2*x**2 + 2/3*x**4 = 0?
0, 1
Let j(d) be the first derivative of 4 - 8*d**2 + 4/5*d**5 + 16*d + 2*d**4 - 4*d**3. Factor j(s).
4*(s - 1)**2*(s + 2)**2
Let r(x) be the third derivative of -x**6/320 - 7*x**5/160 - 15*x**4/64 - 9*x**3/16 - 23*x**2. Factor r(d).
-3*(d + 1)*(d + 3)**2/8
Let f(h) be the second derivative of h**6/60 - h**5/15 + 7*h**4/72 - h**3/18 - h. Determine p, given that f(p) = 0.
0, 2/3, 1
Factor 3/8 + 1/8*g**2 - 1/2*g.
(g - 3)*(g - 1)/8
Let 20*u**4 + 8*u + 487 - 487 + 28*u**2 + 4*u**5 + 36*u**3 = 0. What is u?
-2, -1, 0
Let r(b) be the third derivative of -b**7/17640 - b**6/1260 - b**5/280 - b**4/12 - 5*b**2. Let y(d) be the second derivative of r(d). Factor y(a).
-(a + 1)*(a + 3)/7
Let v(x) = x**3 - x - 3. Let y(f) = 4*f**3 - 4*f - 8. Let c(m) = -8*v(m) + 3*y(m). Determine g, given that c(g) = 0.
-1, 0, 1
Let v(h) = -2*h - 24. Let c be v(-13). Suppose 2*d = 4*n + 2, 3*n - d = -c*d + 1. Suppose -4/3*a**4 + 2/3*a**5 + 0*a**3 - 2/3*a + n + 4/3*a**2 = 0. Calculate a.
-1, 0, 1
Let n(l) = 0 + 4*l + 4*l**3 + 4*l**2 - 5*l**3 + 7. Let a be n(5). Factor f**3 + f**4 - f**a + 0 + 0 - f.
f*(f - 1)*(f + 1)**2
Suppose 0 = x + 5*d - 5, 2*x + 4*d - 4 = -2*x. Factor 2/5*t**2 + 4/5*t**3 + 0 + 2/5*t**4 + x*t.
2*t**2*(t + 1)**2/5
Let h(c) be the third derivative of -c**7/315 + c**6/60 - c**5/30 + c**4/36 + 6*c**2. Factor h(r).
-2*r*(r - 1)**3/3
Let d(v) be the second derivative of 5*v**4/6 - 5*v**3/6 - 10*v. Factor d(n).
5*n*(2*n - 1)
Suppose -3*l - 2*l + 15 = 0. Factor 2*q**2 + 6*q - 4*q**2 + 5*q**2 + l.
3*(q + 1)**2
Let j(x) be the second derivative of -x**5/150 - x**4/20 - 2*x**3/15 - x**2 - x. Let u(l) be the first derivative of j(l). Let u(t) = 0. What is t?
-2, -1
Factor -100 + 9*p**4 - 21*p**3 + 12*p + 100.
3*p*(p - 2)*(p - 1)*(3*p + 2)
Determine i so that 1/3*i**5 + 0*i**4 + 2/3 - 2/3*i**2 + i - 4/3*i**3 = 0.
-1, 1, 2
Let x(n) be the first derivative of 3*n**5/140 + n**4/7 + 2*n**3/7 - 3*n**2 + 7. Let i(t) be the second derivative of x(t). Factor i(z).
3*(z + 2)*(3*z + 2)/7
Let b(w) be the second derivative of -w**6/165 + w**5/110 + w**4/66 - w**3/33 - 9*w. Solve b(h) = 0 for h.
-1, 0, 1
Let s(l) be the second derivative of -25*l**4/84 - 10*l**3/21 - 2*l**2/7 + 5*l. Factor s(y).
-(5*y + 2)**2/7
What is r in -13*r - 6*r**4 - 19*r + 6*r**2 + 29*r + 3*r**5 = 0?
-1, 0, 1
Suppose 0 = g - 6*g + 15. Let d(j) = -3*j**5 - j**4 + 2*j**3 + 2*j**2 - 3*j + 1. Let z(b) = b**5 + b - 1. Let a(r) = g*d(r) + 6*z(r). Solve a(y) = 0 for y.
-1, 1
Let j = -297 - -2675/9. Suppose -4/9*f + 0 + 2/9*f**3 - j*f**2 = 0. Calculate f.
-1, 0, 2
Let j(p) be the first derivative of p**6/2 - 18*p**5/25 - 3*p**4/5 + 6*p**3/5 - 3*p**2/10 - 14. Determine d so that j(d) = 0.
-1, 0, 1/5, 1
Let k(x) be the first derivative of -x**5/3 + x**4/3 + x**3/9 - 10. Factor k(d).
-d**2*(d - 1)*(5*d + 1)/3
Let d(q) = -5*q**2 - q**2 + 5*q**2. Let j(p) = 2*p**3 - 4*p**2. Let v(n) = -6*d(n) + j(n). Suppose v(s) = 0. Calculate s.
-1, 0
Let o(w) = 18*w**3 + 14*w**2 - 12*w - 8. Let a(g) = -12*g**3 - 9*g**2 + 8*g + 5. Let q(z) = 8*a(z) + 5*o(z). Factor q(h).
-2*h*(h + 1)*(3*h - 2)
Let w = -5 + 5. Let v(u) be the second derivative of -1/54*u**4 - 1/27*u**3 + 2*u + w*u**2 + 0. Factor v(f).
-2*f*(f + 1)/9
Let a be (-3)/(60/37) + 2. Let o(n) be the first derivative of 1 - 1/2*n**4 - 1/4*n + 1/2*n**3 + 0*n**2 + a*n**5. What is w in o(w) = 0?
-1/3, 1
Let j(y) be the second derivative of -3*y**5/20 + 3*y**3/2 + 3*y**2 - 9*y. Solve j(d) = 0.
-1, 2
Let n(s) = -s**3 - 12*s**2 - 10*s + 15. Let t be n(-11). Suppose -t*y + 7 = -1. Factor -5*k**2 - k**y + k + 5*k**2.
-k*(k - 1)
Suppose 0 = 5*l - l - 16. Factor l*m**2 + 0 - m**4 - m**4 + 2*m**3 + 0.
-2*m**2*(m - 2)*(m + 1)
Let y(z) be the third derivative of -z**9/90720 - z**8/40320 + z**4/12 + z**2. Let m(v) be the second derivative of y(v). Let m(l) = 0. Calculate l.
-1, 0
Let 5*f**4 + 3*f + 7*f - f**3 + 25*f**2 + 8*f**3 + 13*f**3 = 0. What is f?
-2, -1, 0
Let g(r) be the third derivative of -r**6/360 - r**5/60 - r**4/24 - r**3/18 + 10*r**2. Suppose g(l) = 0. Calculate l.
-1
Let b be -7 + 4 - (-147)/35. Factor -b*u + 0 + 3/5*u**2.
3*u*(u - 2)/5
Let c(d) = 2*d**2 + 2*d**2 - 5*d**2. Let t(l) = 10*l**2 + 4*l + 6. Let k(b) = -12*c(b) - t(b). Factor k(r).
2*(r - 3)*(r + 1)
Let s(f) be the third derivative of -f**7/1050 + f**6/150 - f**5/50 + f**4/30 - f**3/30 - 68*f**2. Determine o, given that s(o) = 0.
1
Let k(j) be the first derivative of j**4/6 - j**2 - 6*j - 3. Let p(f) be the first derivative of k(f). Factor p(r).
2*(r - 1)*(r + 1)
Solve 6*l**4 + 23*l**2 - 129 + 15*l - 24*l**3 + 131 - 22*l**4 = 0.
-2, -1/4, 1
Suppose 8 = x + 3*x - 5*f, 0 = x + 5*f - 2. Factor 2*g**3 + 5*g**2 - 2*g**2 - 3*g**x - 2*g**2.
2*g**2*(g - 1)
Suppose 0 = -4*o + 1 + 7. Let i(a) be the first derivative of 1/20*a**4 + 1/15*a**3 - 1/5*a - 1/10*a**o - 3. Factor i(z).
(z - 1)*(z + 1)**2/5
Solve r - 4*r - 9*r - 2*r**2 - 18 = 0 for r.
-3
Let y = 4/1141 + 43/34230. Let n(m) be the third derivative of 1/21*m**3 - 2*m**2 - 1/420*m**6 + 0*m + 0 - y*m**5 + 1/84*m**4. Determine o so that n(o) = 0.
-1, 1
Let z = -3 - -12. What is k in -7 - 21*k + 1 - z*k**2 + 21*k**3 + 3*k**3 + 12*k**4 = 0?
-2, -1/2, 1
Let u(y) be the third derivative of 5*y**2 + 0 - 1/8*y**4 + 0*y + 0*y**3 - 1/60*y**5. Factor u(o).
-o*(o + 3)
Suppose j - 5*s + 2 = 6, 0 = -5*s. Let j*u**2 + 0 - 5/2*u**3 + 1/2*u**4 - 2*u = 0. Calculate u.
0, 1, 2
Let h be 560/90 - (-2)/(-9). Let 12*k**4 + 4*k - 12*k**5 - 4*k - 2*k**3 - h*k**5 = 0. What is k?
0, 1/3
Let n = -1306 + 1307. Let r**2 - 1/2*r**3 - n +