 30*v**2 + 144*v + 36*v + 28 + 125. Let z(r) = 3*r**2 + 18*r + 25. Let u(c) = 2*l(c) - 21*z(c). Suppose u(a) = 0. Calculate a.
-3
Suppose -3*j + 8 = j. Let d(o) be the first derivative of 3 - 2*o + j*o**2 - 2/3*o**3. Suppose d(m) = 0. What is m?
1
Suppose 96*z - 316 = -124. Suppose 3/4*a**z + 3/4*a + 0 = 0. What is a?
-1, 0
Let l be ((-2)/12)/(2/(-6)). Let w be (-5)/(-10)*(2 + -1). Factor -i**4 + 0*i**3 + w*i + 0 + i**2 - l*i**5.
-i*(i - 1)*(i + 1)**3/2
Let z be (-1 - 28/(-21)) + (-1)/12. Suppose 0 - 1/4*w**2 + z*w**3 - 1/2*w = 0. What is w?
-1, 0, 2
Let v = 35 + -31. Let c(q) be the third derivative of -1/6*q**v + 1/3*q**3 + 0*q + 0 + 1/30*q**5 + q**2. Factor c(g).
2*(g - 1)**2
Let t(z) = z**3 - z**2 + 1. Let h(p) = -2*p**4 - 10*p**3 + 14*p**2 + 8*p - 12. Let d(v) = h(v) + 2*t(v). Factor d(q).
-2*(q - 1)**2*(q + 1)*(q + 5)
Let w(y) be the first derivative of 8 - 7 - y**3 + y**2 - 4*y**2. Find r, given that w(r) = 0.
-2, 0
Let g = -58 - -38. Let c be 14/44 - g/110. Let 1/4*w**2 + 1/4 + c*w = 0. Calculate w.
-1
Let g(n) be the first derivative of -n**5/20 + n**4/16 + n**3/12 - n**2/8 + 9. Factor g(w).
-w*(w - 1)**2*(w + 1)/4
Let c be (6 - 3 - 3) + 2. Let -2/5 + 2/5*a**3 + 2/5*a**c - 2/5*a = 0. What is a?
-1, 1
Let a = 1092 - 12004/11. Suppose -6/11*d - a*d**2 + 0 - 2/11*d**3 = 0. Calculate d.
-3, -1, 0
Let v(y) be the third derivative of -y**8/2240 - y**7/420 - 11*y**6/2160 - y**5/180 + y**4/12 - 2*y**2. Let m(k) be the second derivative of v(k). Factor m(x).
-(x + 1)*(3*x + 1)*(3*x + 2)/3
Let k(n) be the third derivative of 1/8*n**4 + 0*n**3 + 0*n - 1/20*n**5 + 6*n**2 + 0. Suppose k(l) = 0. Calculate l.
0, 1
Let n(i) be the second derivative of 4/105*i**7 - 1/30*i**4 + i + 0 + 0*i**3 - 2/25*i**5 + 1/75*i**6 + 0*i**2. Suppose n(w) = 0. What is w?
-1, -1/4, 0, 1
Let x(d) = 5*d - 21. Let t be x(5). Let b(p) be the third derivative of -1/12*p**t + 3*p**2 - 1/30*p**5 + 0 + 0*p**3 + 0*p. Suppose b(n) = 0. What is n?
-1, 0
Let h(s) = 2*s**5 + 13*s**4 + 11*s**3 + s**2 - s + 2. Let z(m) = -5*m**5 - 40*m**4 - 34*m**3 - 3*m**2 + 3*m - 7. Let u(x) = -21*h(x) - 6*z(x). Solve u(b) = 0.
-1, 0, 1/4
Let g(r) be the first derivative of 1/12*r**3 + 0*r + 0*r**4 - 1/20*r**5 + 0*r**2 - 7. Let g(w) = 0. What is w?
-1, 0, 1
Suppose -2*v + 52 = 5*s, -4*s + 36 = v + 4. Factor 6*p**3 + 4*p**2 + 0*p + v - 2*p**4 - 4*p - 6*p - 14*p.
-2*(p - 2)**2*(p - 1)*(p + 2)
Suppose 0 = -4*x - x. Let f(v) be the third derivative of 0*v + 0*v**3 - 1/12*v**4 - v**2 + x - 1/30*v**5. Let f(a) = 0. What is a?
-1, 0
Let 4/3*b**3 - 4/3*b**2 + 0*b + 0 = 0. What is b?
0, 1
Factor -5*q**2 + 8*q**4 - 15*q**3 - 5*q**4 + 10*q + 5*q**5 + q**4 + q**4.
5*q*(q - 1)**2*(q + 1)*(q + 2)
Let g(q) be the second derivative of 7*q**4/36 + 13*q**3/9 - 4*q**2/3 - 3*q. Factor g(n).
(n + 4)*(7*n - 2)/3
Let b = -626/7 + 90. Let q = 116 - 113. Find j, given that 6/7*j**4 - 6/7*j + 2/7*j**5 - 4/7*j**2 - 2/7 + b*j**q = 0.
-1, 1
Suppose -166*l - 4*l**2 + 166*l + 4 = 0. What is l?
-1, 1
Suppose 4*q + 0*q = 8. Factor -5*d**2 - 2 + q*d**2 - 2*d**2 + 7*d**2.
2*(d - 1)*(d + 1)
Let w = 3 + -4. Let f(g) = 7*g**2 - g - 4. Let z(d) = d**2 + d - 1. Let i(u) = w*f(u) + 2*z(u). Determine b so that i(b) = 0.
-2/5, 1
Let f = -297/95 - -18117/380. Let p = -175/4 + f. Factor -p*r - 2*r**2 + 0 + 14/5*r**3.
2*r*(r - 1)*(7*r + 2)/5
Let q(p) = p**2 - 2. Let t be q(2). Suppose i = 4*m - 10, -5*i + 0*i = 3*m + 4. Factor -d + 3*d**3 + 1 - 6*d**m - t*d**3 + 5*d**2.
(d - 1)**2*(d + 1)
Suppose -3*b = -l - 0*l + 9, -b = -5*l + 17. Let y(j) be the first derivative of -2/5*j**5 - 1/2*j**4 + 2/3*j**l + j**2 + 2 + 0*j. Let y(p) = 0. Calculate p.
-1, 0, 1
Factor -28/5*g - 26/5 - 2/5*g**2.
-2*(g + 1)*(g + 13)/5
Let z(c) be the first derivative of 0*c**4 - 2 - 1/30*c**5 - c**2 + 0*c + 0*c**3. Let q(l) be the second derivative of z(l). Determine o, given that q(o) = 0.
0
Let l(j) be the first derivative of j**3 + 0*j + 6/5*j**5 + 0*j**2 - 15/8*j**4 + 4 - 1/4*j**6. Factor l(r).
-3*r**2*(r - 2)*(r - 1)**2/2
Let l(t) be the first derivative of t**7/385 + t**6/330 + 5*t**2/2 + 1. Let f(z) be the second derivative of l(z). Suppose f(c) = 0. What is c?
-2/3, 0
Let i(a) = 2*a**4 - 14*a**3 - 18*a. Let l(x) = -x**3 - x. Let w(t) = -2*i(t) + 36*l(t). Factor w(h).
-4*h**3*(h + 2)
Let x be 0*(-3)/((-6)/1). Solve x*a**2 - 2*a**4 - 6*a**3 + 2*a**3 + 4*a + 2 + 0*a**2 = 0 for a.
-1, 1
What is p in 5/2*p**2 - 20*p + 40 = 0?
4
Let l(y) = -y**2 - 6*y - 6. Let n be l(-4). Solve -22 - t**2 + 22 - n*t**2 = 0.
0
Let u(q) be the first derivative of 1/14*q**4 + 0*q**3 + 0*q**5 + 0*q**2 + 0*q - 1/21*q**6 - 3. Find j such that u(j) = 0.
-1, 0, 1
Factor -2/11*x**3 + 2/11*x + 2/11 - 2/11*x**2.
-2*(x - 1)*(x + 1)**2/11
Let h = 6 + -3. Suppose x - 2*x + 13 = 2*r, -5*x = 3*r - 30. Find b such that -b**x + 0*b**h + 2*b + 3*b - 4*b = 0.
-1, 0, 1
Let a(w) be the first derivative of -w**5/5 + w**4/4 + w**3 - w**2/2 - 2*w - 9. Find u, given that a(u) = 0.
-1, 1, 2
Let g(n) be the second derivative of 2*n + 1/6*n**4 + 0 + 0*n**3 + 0*n**2. Find x such that g(x) = 0.
0
Suppose x + 20 = z - 4*z, 4*z + x = -28. Let y be z/(-42)*9/6. Factor 2/7*m**3 - y*m**4 + 0*m + 0*m**2 + 0.
-2*m**3*(m - 1)/7
Let d(s) be the third derivative of 0 + 0*s**3 + 0*s - 1/105*s**7 + 3*s**2 + 1/30*s**5 - 1/60*s**6 + 0*s**4 + 1/168*s**8. Find k, given that d(k) = 0.
-1, 0, 1
Factor 363*v**2 + 6 - 5 + 14*v + 11 + 118*v.
3*(11*v + 2)**2
Let c(l) be the first derivative of -l**6/480 - l**5/120 - l**4/96 + 4*l**2 + 9. Let g(v) be the second derivative of c(v). Suppose g(h) = 0. What is h?
-1, 0
Let z be (2 - 3) + 5 - 2. Let n(m) be the first derivative of -2*m - z - 2/3*m**3 + 2*m**2. Factor n(y).
-2*(y - 1)**2
Let i(m) = -m**3 + 9*m**2 - 9*m + 8. Let s be i(8). Factor 0*d - d**2 - d + s*d**2.
-d*(d + 1)
Let r(o) be the second derivative of o**9/37800 + o**8/8400 + o**7/6300 - o**4/4 + 4*o. Let z(d) be the third derivative of r(d). Factor z(m).
2*m**2*(m + 1)**2/5
Let f = 0 - 21. Let k be (-14)/f*(-18)/(-4). Let 1 + 9/2*u**2 + 5/2*u**k + 1/2*u**4 + 7/2*u = 0. What is u?
-2, -1
Suppose 3*l = 5*t - 1 - 4, -6 = -4*t + 2*l. Suppose n = -t*k + 3, 4 = -5*k - n + 7. Find v, given that -2*v**2 + k*v**2 + v**3 + v**4 - 2*v**3 = 0.
-1, 0, 2
Let i(h) be the third derivative of -h**5/30 + h**4/6 - 36*h**2. Factor i(c).
-2*c*(c - 2)
Let q(w) = 4*w - 1. Let s be q(-1). Let o = s - -5. Factor -6*n**5 + 7*n**5 - n**4 + o*n**4.
n**4*(n - 1)
Let g(w) be the third derivative of 1/525*w**7 + 1/150*w**6 + 2*w**2 + 0*w + 4/15*w**3 - 1/50*w**5 + 0 - 1/15*w**4. Suppose g(f) = 0. Calculate f.
-2, 1
Let x be 6/1 - (9 - 5). Let u(f) be the first derivative of 7/3*f**6 - 32/7*f**x - 17/14*f**4 + 4 - 146/21*f**3 - 8/7*f + 22/5*f**5. Let u(z) = 0. What is z?
-1, -2/7, 1
Let k(z) = z**2 - 14. Let q be k(0). Let h be q/(-5) + (-2)/(-10). Solve 8/3*w**5 + 0*w + 4*w**h - 6*w**4 + 0 - 2/3*w**2 = 0.
0, 1/4, 1
Let f(b) be the second derivative of 2/3*b**3 + 0 + 1/15*b**6 - 1/5*b**5 + 2*b - 1/6*b**4 + 0*b**2. Let f(i) = 0. What is i?
-1, 0, 1, 2
Let m(j) be the first derivative of -2*j**2 - 1/2*j**4 + 0*j - 1 - 2*j**3. Factor m(p).
-2*p*(p + 1)*(p + 2)
Let n(w) be the third derivative of w**8/10080 - w**5/20 + 5*w**2. Let u(x) be the third derivative of n(x). Factor u(c).
2*c**2
Suppose -1/8 - 3/8*p**4 + 5/4*p**3 + 3/4*p - 3/2*p**2 = 0. What is p?
1/3, 1
Let t(a) be the third derivative of 1/540*a**6 + 0*a + 0 + 0*a**4 - a**2 - 1/90*a**5 + 4/27*a**3. Factor t(c).
2*(c - 2)**2*(c + 1)/9
Let q(i) be the first derivative of 0*i**3 + 1/2*i - 1 + 1/2*i**2 - 1/10*i**5 - 1/4*i**4. Factor q(m).
-(m - 1)*(m + 1)**3/2
Let z(d) = d**5 - d**3. Let f(i) = 12*i**5 - 4*i**4 - 10*i**3 + 4*i**2 - 2*i. Let m(q) = -2*f(q) + 20*z(q). Factor m(x).
-4*x*(x - 1)**3*(x + 1)
Let r(l) be the second derivative of -l**4/72 + 5*l**3/36 - l**2/2 + 10*l. Find g, given that r(g) = 0.
2, 3
Let s(w) be the third derivative of -w**8/448 - w**7/280 + w**6/160 + w**5/80 - 20*w**2. What is g in s(g) = 0?
-1, 0, 1
Suppose -9 = 3*c - 15. Factor -3/4*o**3 - 3*o + 3*o**c + 0.
-3*o*(o - 2)**2/4
Let u(q) be the third derivative of 0 - 14/15*q**5 + 4/105*q**7 + 19/24*q**4 + 0*q + 2*q**2 - 1/3*q**3 - 1/21*q**8 + 47/120*q**6. Find d, given that u(d) = 0.
-2, 1/4, 1
Let 8/11*o**3 - 2/11*o**4 + 4/11