)/2
Let d be 3/2 + (-30)/20. Suppose d = -7*i - 0*i. Solve 0*v + 5/3*v**3 + i - 2/3*v**2 = 0 for v.
0, 2/5
Suppose -20*p = -24*p + 16. Let t(x) be the first derivative of 0*x**2 + 1/5*x**5 + 0*x**3 - 3 + 1/4*x**p + 0*x. Solve t(m) = 0.
-1, 0
Let q(k) be the second derivative of -4*k - 1/5*k**2 + 1/30*k**4 - 1/50*k**5 + 1/15*k**3 + 0. Factor q(h).
-2*(h - 1)**2*(h + 1)/5
Let w(n) be the first derivative of n**6/3 - n**4/2 - 9. Factor w(c).
2*c**3*(c - 1)*(c + 1)
Suppose -33*m - 7*m = 7*m. Factor 3/7 - 3/7*g**2 + m*g.
-3*(g - 1)*(g + 1)/7
Let z(i) = -i - 1. Let d = -7 - -5. Let f = 12 + d. Let p(u) = -2*u**2 + 14*u + 10. Let h(c) = f*z(c) + p(c). Determine a, given that h(a) = 0.
0, 2
Find j, given that 1/3*j + 1/6*j**2 + 1/6 = 0.
-1
Let l(a) be the first derivative of a**3 + 2*a**2 - 7*a + 3. Let p(c) = 4*c**2 + 4*c - 8. Let i(h) = -6*l(h) + 5*p(h). Determine m, given that i(m) = 0.
1
Let z(n) be the first derivative of 3 + n**4 + 2/5*n**5 + 2*n - n**2 - 1/3*n**6 - 4/3*n**3. Factor z(x).
-2*(x - 1)**3*(x + 1)**2
Suppose 5*d = -3*v + 19, 3*d - d = -4*v + 16. Let u be d/3*(-3)/(-8). Factor -1/4*l**2 + 0*l + u.
-(l - 1)*(l + 1)/4
Let v(n) = -5*n**2 - 4*n + 1. Let z(f) = f + 1. Let y = 12 - 16. Let c(o) = y*z(o) + 2*v(o). Factor c(u).
-2*(u + 1)*(5*u + 1)
Let h be ((-10)/(-6))/(6/18) + -3. Solve -2/3 + 2/3*f**h - 2/3*f**3 + 2/3*f = 0 for f.
-1, 1
Suppose 5*g + 3*g - 4*g**3 - 4*g**5 - 10*g**4 - 12*g**2 + 22*g**4 = 0. Calculate g.
-1, 0, 1, 2
Let s = 62/17 - -404/85. Suppose -s*c**3 + 10*c**5 - 8/5*c - 8*c**4 + 8*c**2 + 0 = 0. Calculate c.
-1, 0, 2/5, 1
Let h = -2 + 5. Factor 10*s**3 - 7*s**3 + 0*s**h.
3*s**3
Let w(b) be the second derivative of 0 - 1/12*b**4 + 1/20*b**5 - 1/6*b**3 + 3*b + 1/2*b**2. Factor w(h).
(h - 1)**2*(h + 1)
Let p be 6*(16/(-6) + 3). Let -5*m**3 - 3*m + 2 + 4*m**2 + 5*m**p + 3*m**2 - 6*m = 0. What is m?
2/5, 1
Let r(d) be the first derivative of d**5/20 - d**3/12 + 8. Let r(f) = 0. Calculate f.
-1, 0, 1
Let p(s) be the first derivative of 1/4*s**3 + 5 + 0*s + 3/8*s**2. Solve p(d) = 0.
-1, 0
Let h(u) = 5*u**5 + u**4 - 5*u**3 + 2*u**2 + 3*u - 3. Let k(j) = 4*j**5 - 4*j**3 + 2*j**2 + 2*j - 2. Let m(f) = -2*h(f) + 3*k(f). Let m(v) = 0. Calculate v.
-1, 0, 1
Let h(x) be the first derivative of 3*x**5/10 - 9*x**4/8 + x**3 + 2. Factor h(z).
3*z**2*(z - 2)*(z - 1)/2
Suppose 0 + 0*h - 12/7*h**3 + 4/7*h**2 - 16/7*h**4 = 0. Calculate h.
-1, 0, 1/4
Let c(w) be the third derivative of -3*w**2 + 0*w - 1/252*w**6 + 0 + 1/6*w**3 - 1/140*w**5 + 1/42*w**4. Let y(u) be the first derivative of c(u). Factor y(n).
-2*(n + 1)*(5*n - 2)/7
Determine x so that -18*x - 7*x**2 + 5*x**2 - 27 - x**2 = 0.
-3
Factor 2*j**4 - 3*j**4 - 3*j**3 + 0*j**4 - 4*j**2 + 3*j + 5*j**2.
-j*(j - 1)*(j + 1)*(j + 3)
Suppose -j + 1 = -5*f + 3, 0 = j + 3*f - 6. Let k = j - 0. Factor r**2 + 1/3 - 1/3*r**k - r.
-(r - 1)**3/3
Let l(z) = 5*z + 32. Let b be l(-6). Find i such that 0*i - 1/3 + 1/3*i**b = 0.
-1, 1
Let g(c) be the third derivative of c**7/5040 + c**6/1440 - 5*c**4/24 + 3*c**2. Let b(d) be the second derivative of g(d). Factor b(r).
r*(r + 1)/2
Let y(s) be the second derivative of -s**7/420 - s**6/60 + s**4/3 + s**3/3 - 6*s. Let q(i) be the second derivative of y(i). Find a such that q(a) = 0.
-2, 1
Let m = 580 + -577. Factor 0 + 1/3*j**5 + 1/3*j**2 + 0*j + j**4 + j**m.
j**2*(j + 1)**3/3
Let i(w) be the third derivative of w**5/12 - 5*w**4/4 + w**2 - 17. Factor i(b).
5*b*(b - 6)
Suppose 3*p = 4*c - 8*c + 13, 4*p - 3*c - 9 = 0. Determine b, given that -b**2 + 13*b**4 + 2*b**3 - p*b**2 - 11*b**4 = 0.
-2, 0, 1
Let s(v) be the second derivative of v**4/12 - v**3/6 - v**2 - v. Determine x, given that s(x) = 0.
-1, 2
Solve -30 - 48 - 3*h**3 - 69*h**2 - 285 - 429*h = 0.
-11, -1
Let d(h) be the second derivative of -10*h - 5/66*h**4 - 3/11*h**2 - 7/33*h**3 - 1/110*h**5 + 0. Factor d(i).
-2*(i + 1)**2*(i + 3)/11
Let f(g) be the first derivative of g**8/4200 - g**6/900 + 2*g**3/3 - 4. Let o(v) be the third derivative of f(v). Factor o(b).
2*b**2*(b - 1)*(b + 1)/5
Let z(m) = -3*m**3 + 3*m**2 + 2*m - 4. Let i be z(2). Let g be 1 - 1 - 4/i. Suppose 1/3*p**2 - g + 0*p = 0. Calculate p.
-1, 1
Let n(w) be the third derivative of w**7/1260 - w**6/180 + w**5/120 + w**4/36 - w**3/9 + 2*w**2. Let n(p) = 0. What is p?
-1, 1, 2
Find m such that -24*m**2 + 0 + 16/5*m + 30*m**5 - 74*m**4 + 324/5*m**3 = 0.
0, 2/5, 2/3, 1
Suppose -b = 4*b + 20. Let j be (b - -4)*(-1)/2. Find z, given that 0*z**2 + 0*z + j - 4/5*z**4 - 2/5*z**5 - 2/5*z**3 = 0.
-1, 0
Let v be ((-9)/(-2) + -3)*2. Find j such that -2 - 15*j**2 - 15*j**3 + 12*j**4 + 5 + 9*j + 6*j**v = 0.
-1, -1/4, 1
Let w(g) be the first derivative of g**6/60 - g**5/10 - 3*g**2 - 11. Let v(f) be the second derivative of w(f). Determine n, given that v(n) = 0.
0, 3
Let i(r) be the third derivative of -r**8/4200 + r**6/150 + 2*r**5/75 + r**4/20 - 5*r**3/6 - 5*r**2. Let b(t) be the first derivative of i(t). Factor b(d).
-2*(d - 3)*(d + 1)**3/5
Let v(m) be the second derivative of 0*m**2 - 2/9*m**3 + 0 + m + 1/18*m**4. Suppose v(d) = 0. Calculate d.
0, 2
Let -14*f - 4*f**3 + 6 + 23/2*f**2 + 1/2*f**4 = 0. What is f?
1, 2, 3
Let u(y) be the third derivative of y**5/10 + y**4/8 - y**3/2 - y**2. Let s(r) = 11*r**2 + 6*r - 7. Let n(z) = 3*s(z) - 5*u(z). Determine m so that n(m) = 0.
-2, 1
Let d(u) be the second derivative of 0*u**2 + 1/1260*u**6 + 1/210*u**5 + 0 - 4*u + 0*u**4 + 1/2*u**3. Let s(m) be the second derivative of d(m). Factor s(w).
2*w*(w + 2)/7
Let z(d) = 105*d**2 - 25*d - 430. Let r(a) = 8*a**2 - 2*a - 33. Let q(v) = 40*r(v) - 3*z(v). Factor q(h).
5*(h - 3)*(h + 2)
Let d(l) be the second derivative of l**5/50 + 4*l**4/15 - 19*l**3/15 + 2*l**2 - l. Determine h, given that d(h) = 0.
-10, 1
Let l = 452/15 + -214/5. Let i = 13 + l. Factor -i + 1/3*h**3 - 1/3*h + 1/3*h**2.
(h - 1)*(h + 1)**2/3
Let b(l) be the second derivative of l**7/840 + l**6/180 + l**5/120 + 2*l**3/3 - 4*l. Let m(a) be the second derivative of b(a). What is i in m(i) = 0?
-1, 0
Find z such that -35/6*z**2 + 5/2*z**3 - 5*z + 0 = 0.
-2/3, 0, 3
Find n, given that 2*n**4 + 149*n**3 + n**4 - 4*n**4 - 148*n**3 = 0.
0, 1
Let q(i) be the second derivative of 1/30*i**3 + 1/5*i**2 + 0 - 3*i - 1/30*i**4 - 1/100*i**5. Let q(y) = 0. What is y?
-2, -1, 1
Suppose 0 = 4*o - 3*t - 1 - 6, -4*o + 4 = -4*t. Let c(z) be the first derivative of 0*z**3 + 1/4*z**o + 1 + 0*z + 0*z**2 + 4/5*z**5 + 1/2*z**6. Factor c(m).
m**3*(m + 1)*(3*m + 1)
Let w(f) be the third derivative of f**6/360 - f**4/18 + 11*f**2. Determine j, given that w(j) = 0.
-2, 0, 2
Let q(m) = m**3 - 10*m + 19*m - 2*m**2 + 2 - m**2 - 13*m. Let i be q(4). Find k such that 0 + 0*k + 3/2*k**3 + 3/2*k**i = 0.
-1, 0
Let n be (-1)/(14*4/(-32)). Let a = 0 + 2. Solve -n*w + 2/7*w**a + 2/7 = 0.
1
Let q(m) be the first derivative of 0*m**3 + 2 - 1/12*m**2 + 0*m + 1/24*m**4. Factor q(b).
b*(b - 1)*(b + 1)/6
Determine s so that 1/3*s - 1/3*s**4 + 0 + 1/3*s**2 - 1/3*s**3 = 0.
-1, 0, 1
Suppose -5*m + 1 = -9. Let b be 8/(1*m/1). What is i in b*i + 2 + 1/2*i**3 + 5/2*i**2 = 0?
-2, -1
Let d(p) = -5*p**4 + 22*p**3 - 66*p**2 + 72*p - 25. Let c(r) = -36*r**4 + 153*r**3 - 462*r**2 + 504*r - 174. Let l(z) = -2*c(z) + 15*d(z). Factor l(x).
-3*(x - 3)**2*(x - 1)**2
Let m = -8 + 10. Factor -5*f**4 + f + 4*f**3 - m*f**2 - f + 3*f**4.
-2*f**2*(f - 1)**2
Let v be (2 - (-3)/(-3)) + 32. Let d be v/12 + 2/8. Determine f so that -5*f + 2*f**d + 4*f - f = 0.
-1, 0, 1
Factor -10/7*p**2 - 8/7 - 32/7*p + 50/7*p**3.
2*(p - 1)*(5*p + 2)**2/7
Let w(i) be the third derivative of -i**7/1575 + 2*i**5/225 - 12*i**2. Find z, given that w(z) = 0.
-2, 0, 2
Let c(o) be the second derivative of 3*o**5/20 - 3*o**3/2 - 3*o**2 - 5*o. Suppose c(a) = 0. Calculate a.
-1, 2
Let d(v) be the third derivative of 0*v**3 - v**2 + 0*v + 0 - 1/150*v**5 - 1/100*v**6 + 0*v**4 - 2/525*v**7. What is m in d(m) = 0?
-1, -1/2, 0
Suppose 4*v = 54*v - 200. Solve 2/3*t**v - 2/3*t**3 - 2/3*t**2 + 0 + 2/3*t = 0 for t.
-1, 0, 1
Let v(z) be the third derivative of -z**10/16800 + z**9/10080 + z**8/2240 - z**7/840 + z**5/12 - 7*z**2. Let l(w) be the third derivative of v(w). Factor l(o).
-3*o*(o - 1)*(o + 1)*(3*o - 2)
Let n(c) be the first derivative of c**8/840 + 3*c**7/140 + 3*c**6/20 + 9*c**5/20 + 5*c**3/3