(4*p + 1)
Suppose 4/5 + 6/5*w**2 - 14/5*w = 0. What is w?
1/3, 2
Solve 8/5*d - 24/5 + 2/5*d**2 = 0 for d.
-6, 2
Let a(o) be the second derivative of 0 + 0*o**3 - o + 1/12*o**4 + 0*o**2. Factor a(f).
f**2
Let b(t) = -7*t**2 + 5*t - 8. Let w(y) = 11*y**2 - 7*y + 12. Let v(z) = -8*b(z) - 5*w(z). Factor v(g).
(g - 4)*(g - 1)
Let c(p) be the first derivative of 1/14*p**4 - 8/21*p**3 + 4/7*p**2 + 0*p + 2. Factor c(r).
2*r*(r - 2)**2/7
Let j(w) be the third derivative of w**8/2688 + w**7/420 + w**6/960 - w**5/48 - w**4/48 + w**3/6 + 4*w**2. Factor j(l).
(l - 1)**2*(l + 2)**3/8
Let y(c) be the first derivative of 0*c + 4 - c**2 + 4/3*c**3 + 0*c**4 + 1/3*c**6 - 4/5*c**5. Suppose y(n) = 0. What is n?
-1, 0, 1
Let k = -884 + 5305/6. Find c, given that k - 5/6*c + 2/3*c**2 = 0.
1/4, 1
Find l such that -16*l + 4*l**3 - l**4 - 3*l**2 - 3*l**4 + 19*l**2 = 0.
-2, 0, 1, 2
Let b(x) = -x + 3. Suppose -4*j = -6*j. Let n be b(j). Solve -2*u + u**5 - n*u**3 + u**3 + 3*u = 0 for u.
-1, 0, 1
Let w be (6/9)/(4/18). Let r(g) = g**3 + g**2 - g + 3. Let f(i) = -i**3 - i**2 + i - 2. Let v = -1 - -5. Let n(c) = v*f(c) + w*r(c). Let n(q) = 0. Calculate q.
-1, 1
Let t(i) be the third derivative of -1/60*i**5 + 0 + 1/24*i**4 + 0*i**3 + 0*i + 2*i**2. Let t(f) = 0. What is f?
0, 1
Suppose 0 = -2*a + 2*q + 16, -4*a - 5*q - 19 = -6. Factor -3/4*p**2 - 3/4*p**4 - 3/2*p**a + 0*p + 0.
-3*p**2*(p + 1)**2/4
Determine q so that -54/5*q - 243/5 - 3/5*q**2 = 0.
-9
Let w(m) = m**2 + 5*m - 1. Let n be w(-6). Suppose 0 = -4*k + 16, 0*i - n*k = i - 22. Determine c, given that 2*c - 8 - 2*c**i + 8 = 0.
0, 1
Factor -3 - 64*u - 4*u**5 - 91*u**3 + 100*u**2 + 7 + 28*u**4 + 15*u**3 + 12.
-4*(u - 2)**2*(u - 1)**3
Let c(z) be the first derivative of 2*z**5/35 + z**4/7 - 8*z**3/21 - 8*z**2/7 - 4. Suppose c(n) = 0. Calculate n.
-2, 0, 2
Let n(f) be the first derivative of -2*f + 2/3*f**3 + 2 + 0*f**2. Factor n(i).
2*(i - 1)*(i + 1)
Let z(c) be the second derivative of -c**5/90 + c**4/18 - 2*c**3/27 + 2*c - 5. Factor z(y).
-2*y*(y - 2)*(y - 1)/9
Let l(h) be the second derivative of -h**8/13440 + h**7/5040 + h**6/1440 - h**5/240 - h**4/6 + 2*h. Let q(t) be the third derivative of l(t). Factor q(p).
-(p - 1)**2*(p + 1)/2
Let n(m) be the second derivative of -m**7/42 + m**6/30 - 8*m. Factor n(d).
-d**4*(d - 1)
Factor 0 - 3/4*o**3 - 1/4*o**4 - 1/2*o + 1/4*o**5 + 5/4*o**2.
o*(o - 1)**3*(o + 2)/4
What is c in 6*c**3 + 14/3*c**4 - 6*c - 4/3 - 10/3*c**2 = 0?
-1, -2/7, 1
Let m(d) be the second derivative of d**5/40 + d**4/96 - 4*d. Factor m(f).
f**2*(4*f + 1)/8
Let 6/5 + 1/5*s**2 - s = 0. What is s?
2, 3
Suppose 30 = 5*g + 5*s, 3*g = 5*s + 19 - 1. Solve -3*r**4 + r**3 + g*r**4 + 0*r**4 + 2*r**5 = 0.
-1, -1/2, 0
Let l(x) be the third derivative of -x**9/15120 + x**8/3360 - x**7/2520 + 7*x**4/24 - 7*x**2. Let c(v) be the second derivative of l(v). Factor c(t).
-t**2*(t - 1)**2
Let s = -1 + 4. Let -s*w + 8*w**3 - 4*w**3 - 9*w**2 - 3*w**4 + 5*w**3 + 6*w = 0. Calculate w.
0, 1
Factor 0*i**2 + 1/5*i**4 + 2/5*i - 2/5*i**3 - 1/5.
(i - 1)**3*(i + 1)/5
Let z(k) be the second derivative of -k**5/180 + 7*k**4/108 - 5*k**3/18 + k**2/2 - k. Factor z(t).
-(t - 3)**2*(t - 1)/9
Determine l, given that 6 + 3*l**3 + 24*l - 56*l + 29*l - 6*l**2 = 0.
-1, 1, 2
Let j = 27 - 25. Suppose -10 = 5*y, y - 2 - 6 = -5*d. Solve 2*c + c**2 - d*c**j - 2*c = 0.
0
Factor -4*t**3 - 8*t**2 + 4*t**4 - 605 + 605.
4*t**2*(t - 2)*(t + 1)
Let u be 5 - ((0 - 3) + 3). Solve 3*q**u + 3*q**3 - 4*q**4 + 10*q**4 + 0*q**5 = 0 for q.
-1, 0
Suppose 4*k - 3*z = 1, 3*k - 5*k - z = -13. Solve 0*o**2 - 2/3*o**k - 4/3*o**3 + 4/3*o + 2/3 = 0.
-1, 1
Let g(o) be the third derivative of -10*o**2 - 1/525*o**7 + 0*o**4 + 0 + 0*o**3 + 1/600*o**6 + 0*o + 0*o**5. Factor g(h).
-h**3*(2*h - 1)/5
Suppose -3 = 3*k + 3. Let p be (12/(-90))/(k/6). Determine q so that 0*q**2 + 0*q + 0 - q**4 - 7/5*q**5 + p*q**3 = 0.
-1, 0, 2/7
Let u(m) = -4*m**4 - 4*m**3 + 2*m**2 - 2. Let j(k) = -k**4 - k**3 - k - 1. Let h(w) = 2*j(w) - u(w). Solve h(l) = 0.
-1, 0, 1
Let x = -899/4 + 225. Find k, given that x*k + 0 - 1/4*k**2 = 0.
0, 1
Let 1/11*v**2 + 0 + 5/11*v = 0. Calculate v.
-5, 0
What is p in -3*p**3 - 45*p + 86*p - 38*p = 0?
-1, 0, 1
Suppose -2*o = 4*t - 9 - 1, -20 = -4*o. Let r(k) be the first derivative of -2/3*k**3 + 2 + t*k + 0*k**2. Factor r(c).
-2*c**2
Suppose 144*k**5 + 198*k**2 + 7*k + k - 202*k**2 - 36*k**4 - 112*k**3 = 0. Calculate k.
-2/3, -1/3, 0, 1/4, 1
Let y be (-18)/15*1/(-2). Factor 7/5*l + 1/5*l**3 - l**2 - y.
(l - 3)*(l - 1)**2/5
Let p(q) be the second derivative of 0 - 1/30*q**4 + 3*q - 1/50*q**5 + 1/5*q**2 + 1/15*q**3. Factor p(s).
-2*(s - 1)*(s + 1)**2/5
Let x(i) = -5*i**3 + i**2 + i. Let u be x(-1). Determine l so that 10*l**4 + l**3 - l**2 + l**u - 8*l**4 + l**2 = 0.
-1, 0
Let m(n) = 6*n - 5. Let w be m(9). Let o = w + -29. What is q in -10*q**4 - 11*q**2 - 9*q**2 + o*q**3 - q**5 + 10*q + 3*q**5 - 2 = 0?
1
Let d = 0 + 2. Let w = 55/24 + -5/8. Determine p so that 0*p - 4/3*p**4 - 2/3*p**d + 0 - 1/3*p**5 - w*p**3 = 0.
-2, -1, 0
Solve 0*d - 4/5*d**4 + 0 - 4/5*d**3 + 0*d**2 = 0 for d.
-1, 0
Determine f so that -6*f**2 + f**3 + 2*f**2 - 3*f**3 = 0.
-2, 0
Suppose -5*g + 76 = 16. Suppose -2*n - 2*c - 2*c + g = 0, 4*n = -4*c + 16. Factor -9/4*l + 7/4*l**n + 1/2.
(l - 1)*(7*l - 2)/4
Let u(p) be the third derivative of -p**6/90 + p**5/30 - p**3/9 + 28*p**2. Determine x so that u(x) = 0.
-1/2, 1
Let k(j) be the third derivative of -j**8/6720 - j**7/210 - j**6/15 + 3*j**5/20 + 5*j**2. Let d(u) be the third derivative of k(u). Solve d(c) = 0 for c.
-4
Find r such that 0*r + 3*r**3 - 136 + 136 + 6*r - 9*r**2 = 0.
0, 1, 2
Let n(s) be the first derivative of -9*s**5/20 - 5*s**4/2 - 9*s**3/2 - 3*s**2 - 3*s + 5. Let r(p) be the first derivative of n(p). Factor r(h).
-3*(h + 1)*(h + 2)*(3*h + 1)
Let j(z) be the second derivative of -z**6/1080 - z**5/60 - z**4/8 + z**3/3 + 4*z. Let m(g) be the second derivative of j(g). Let m(p) = 0. Calculate p.
-3
Let r(c) be the first derivative of -7*c**6/1080 + c**5/72 + c**4/36 - c**3 + 4. Let m(w) be the third derivative of r(w). Factor m(u).
-(u - 1)*(7*u + 2)/3
Suppose 3*r + 6 = -4*n, -n = 3*r - 6*n - 21. Suppose 0*j**3 + 5*j**2 - 3*j**r - j**5 + j**4 - 5*j**3 + 3*j**4 = 0. Calculate j.
0, 1, 2
Let s(n) be the first derivative of -3*n**5/35 + 3*n**3/7 - 3*n**2/7 + 1. Factor s(t).
-3*t*(t - 1)**2*(t + 2)/7
Let h = -6 + 12. Let t be h/27 - (-115)/9. Factor -5 + 24*f - 7*f**2 + t - 7*f**2.
-2*(f - 2)*(7*f + 2)
Let t(q) be the second derivative of 0*q**2 - 1/60*q**5 + 0 + 1/18*q**3 + 3*q - 1/90*q**6 + 1/36*q**4. Factor t(m).
-m*(m - 1)*(m + 1)**2/3
Let h(y) be the third derivative of y**5/15 + 4*y**4/3 + 32*y**3/3 + 2*y**2. Factor h(t).
4*(t + 4)**2
Determine p so that 5 + 0 - 4*p**2 - 5 = 0.
0
Find y, given that 5/6*y**2 + 5*y + 25/6 = 0.
-5, -1
Let f(o) = o**3 - 8*o**2 - 11*o - 2. Let p(u) = -6*u**3 + 41*u**2 + 56*u + 11. Let d(c) = -33*f(c) - 6*p(c). Factor d(b).
3*b*(b + 3)**2
Let d(g) = 5*g**3 - g**2 - g + 1. Let z be d(1). Find t, given that -3/2*t + 0*t**3 - 3*t**2 + 3/2*t**5 + 0 + 3*t**z = 0.
-1, 0, 1
Let r = 376/253 + -30/23. Find u such that -r*u**2 - 18/11 + 12/11*u = 0.
3
Let u(t) be the third derivative of t**5/240 + t**4/16 - 7*t**3/24 - 4*t**2 - 5*t. Factor u(y).
(y - 1)*(y + 7)/4
Find v, given that -33*v**5 + 0*v**4 + 6*v**4 + 30*v**5 = 0.
0, 2
Suppose -10*m**2 + 14*m**2 - 25*m + 25*m = 0. What is m?
0
Solve -d + 1 + 0*d**5 - d**4 - 2 + 2*d**2 + 2*d**3 - d**5 = 0.
-1, 1
Let k = 129 + -257/2. Let 0*g + 0 - 1/4*g**2 - k*g**3 - 1/4*g**4 = 0. What is g?
-1, 0
Suppose -k + 7 = -3. Let q be k/(-45) + (-58)/(-18). Solve -3*w**3 + w**3 - 2*w**2 - 4*w**q + 4*w**3 = 0.
-1, 0
Let q = -59 + 67. Let z(d) be the third derivative of 0*d**3 + 0*d + 0 - 1/12*d**4 - 2/15*d**5 - 4/105*d**7 + 2*d**2 - 1/168*d**q - 1/10*d**6. Factor z(k).
-2*k*(k + 1)**4
Let t be (725/3)/((-21)/18). Let i = t + 208. Let 12/7*a**5 + 4/7 + 10/7*a**4 - 18/7*a**3 - 2*a**2 + i*a = 0. What is a?
-1, -1/2, 2/3, 1
Let m(o) be the second derivative of -o**7/840 - o**6/180 - o**5/120 - o**3/2 + 3*o. Let j(v) be the second derivative of m(v). Factor j(w).
-w*(w + 1)**2
Let x(h) be the second derivative of -h**5/20 + h**4/12 + h**3/6 - h**2/2 + 9*h. Let x(n) = 0. What is n?
-1, 