r 8/3*w - s*w**4 - 4*w**2 + 16/3 - 10/3*w**3.
-2*(w - 1)*(w + 2)**3/3
Suppose 2*l**4 + 9/2*l + 1/2*l**5 - 6*l**2 - l**3 + 0 = 0. Calculate l.
-3, 0, 1
Let i(b) = -b**3 - 2*b**2 - b. Let c be i(0). Solve -3/4*k**2 + 3/2*k**3 + c + 0*k - 3/4*k**4 = 0 for k.
0, 1
Let f be (-1)/2*(-2)/33. Let d = f - -97/66. Factor 0 + 3/2*t**4 + 1/2*t**5 + 0*t + d*t**3 + 1/2*t**2.
t**2*(t + 1)**3/2
What is x in 2*x**2 + 3*x**4 - 2*x**4 + 0*x**2 + x**4 - 4*x**3 = 0?
0, 1
Let c(r) be the second derivative of -r**6/10 - 3*r**5/20 + r**4/4 + r**3/2 - 4*r. Factor c(i).
-3*i*(i - 1)*(i + 1)**2
Find l, given that -10*l**2 - 242 + 54*l + 7*l**2 - 1 = 0.
9
Let j(m) be the second derivative of 0*m**3 + 1/21*m**7 - 1/15*m**5 + 0*m**2 + 0*m**4 + 0 - m + 1/9*m**6. Solve j(o) = 0.
-2, 0, 1/3
Let j(y) be the second derivative of -y**5/4 + 5*y**4/2 - 10*y**3 + 20*y**2 + 14*y. What is n in j(n) = 0?
2
Let s be 0 + 1 + 0 + 2. Let o(x) = -x**3 + 3*x**2 + x - 1. Let p(l) = l**3 + l + 1. Let v(j) = s*o(j) + 6*p(j). Solve v(k) = 0.
-1
Let i be ((-153)/(-21) - 7)/1. Let i*c + 2/7*c**2 - 4/7 = 0. Calculate c.
-2, 1
Let g be -1 - (-2 + 26/(-4)). Suppose -3 + 9/2*w**4 - g*w + 15/2*w**3 - 3/2*w**2 = 0. What is w?
-1, -2/3, 1
Let a(q) be the first derivative of -q**6/55 + 2*q**5/55 - q**4/66 + 9*q + 6. Let n(f) be the first derivative of a(f). Let n(r) = 0. What is r?
0, 1/3, 1
Suppose -5*n = 2*q + 50 + 40, 18 = -n + 2*q. Let h be (n/(-63))/(4/7). Suppose h*v**2 - v + 1/2 = 0. What is v?
1
Suppose -7/8*t**2 - 1/8*t**3 - 9/8 - 15/8*t = 0. What is t?
-3, -1
Let t(m) be the second derivative of m**4/24 + m**3/12 - 4*m. Let t(v) = 0. Calculate v.
-1, 0
Let c(g) = -g**3 + 3*g**2 + 2. Let k be c(3). Factor -3*f - 3*f**3 - 3*f**2 - 5*f**k + 2*f**2.
-3*f*(f + 1)**2
Let d be 8/6*(2 + 1). Suppose 3*v - d = v. Factor 4/5*p**v - 2/5*p - 4/5 + 2/5*p**3.
2*(p - 1)*(p + 1)*(p + 2)/5
Suppose -2*h = 3*m + 3*h - 6, 4*m - 3*h - 8 = 0. Determine o so that -3*o**4 - 6*o**3 - o**2 + 5*o**4 + 5*o**m = 0.
0, 1, 2
Let t(y) be the second derivative of -y**7/98 + y**6/70 + 9*y**5/140 - y**4/28 - y**3/7 + 7*y. Suppose t(q) = 0. What is q?
-1, 0, 1, 2
Let s(b) = b**3 + 2*b. Let c(o) = -3*o**3 - 9*o. Let p(w) = -2*c(w) - 9*s(w). Factor p(l).
-3*l**3
Let b(n) = n**4 + n**3 - n**2 - n. Let a(z) = -6*z**4 - 6*z**3 + 6*z**2 + 6*z. Let x(o) = -a(o) - 2*b(o). Factor x(h).
4*h*(h - 1)*(h + 1)**2
Let o(j) = -10*j + 114. Let z be o(11). Find d such that 8/5*d + 0 + 8/5*d**z - 8/5*d**2 - 2/5*d**5 - 6/5*d**3 = 0.
-1, 0, 1, 2
Let i be ((-36)/(-12) + (-13)/4)*-1. Find d such that i*d**3 + 0*d**2 + 0 + 1/4*d**4 + 0*d = 0.
-1, 0
Let s = -57/4 - -15. Factor 3/4*k**2 + 0*k + 9/4*k**4 + 0 - 9/4*k**3 - s*k**5.
-3*k**2*(k - 1)**3/4
Let t(p) be the third derivative of -p**5/60 - 7*p**4/24 - p**3/2 + 4*p**2. Let y be t(-6). Factor -6/7*k**2 + 6/7*k + 2/7*k**y - 2/7.
2*(k - 1)**3/7
Let g(n) be the second derivative of -n**5/70 - n**4/21 - 11*n. Factor g(d).
-2*d**2*(d + 2)/7
Suppose 0 = -11*h + 7*h. Suppose -3*u = o - u + 2, h = -5*o + 2*u + 26. Factor 15/4*k**2 + 0 - 3/2*k + 3/4*k**5 - 3/4*k**o - 9/4*k**3.
3*k*(k - 1)**3*(k + 2)/4
Let x = 86 - 59. Factor 18*q**2 + 24 + 2*q**3 + q**3 + x*q + 9*q.
3*(q + 2)**3
Let v be 1 + 1 - (-2 - 0). Let y be v/(-20) - 33/(-15). Factor r**y + 2*r + 0*r**2 - 1 - 2*r**2.
-(r - 1)**2
Suppose 0 = -r + 3*h, -h + 5*h = 4*r. Let 2/5*x + r*x**2 - 12/5*x**3 + 0 + 16/5*x**4 - 6/5*x**5 = 0. Calculate x.
-1/3, 0, 1
Let v(f) = -f**3 + 5*f**2 - 3*f - 4. Let i be v(4). Suppose 0 = 2*r - 0*r. Factor i - 4/5*s**2 + r*s - 6/5*s**3.
-2*s**2*(3*s + 2)/5
Let y(r) be the second derivative of 2*r**3/3 - 19*r**2/2 - r. Let h be y(6). Find t, given that 0*t**4 - 1/5*t**h + 0*t**2 + 1/5*t**3 + 0 + 0*t = 0.
-1, 0, 1
Let r be ((-4)/6)/((-4)/18). Let g be 3/r - (-1 + 0). Solve 0*q - 2*q**2 + g + 0*q = 0.
-1, 1
Let i(n) be the second derivative of n**7/30 - 3*n**6/50 - 3*n**5/25 + n**4/15 - 16*n. Suppose i(z) = 0. Calculate z.
-1, 0, 2/7, 2
Let z(k) = 17*k**2 - 11*k. Let q(d) = 6*d**2 - 4*d. Let p(j) = -j**2. Let u be p(-2). Let v(m) = u*z(m) + 11*q(m). Solve v(b) = 0.
0
Let b(k) be the second derivative of 1/4*k**5 - 3/14*k**7 - k**4 + 2*k + 0*k**2 + 2/5*k**6 + 0 + 2/3*k**3. Let b(l) = 0. Calculate l.
-1, 0, 2/3, 1
Let u = 75 - 73. Let g(i) be the third derivative of -1/280*i**7 + i**u + 1/96*i**4 + 0*i**3 + 0 - 1/96*i**6 - 1/240*i**5 + 0*i. Factor g(t).
-t*(t + 1)**2*(3*t - 1)/4
Let m(c) be the second derivative of -c**4/90 + 8*c**3/45 - 16*c**2/15 - 12*c - 1. Let m(j) = 0. What is j?
4
Let v(y) be the second derivative of -y**10/68040 - y**9/68040 + y**8/30240 + y**4/2 - y. Let t(n) be the third derivative of v(n). Factor t(k).
-2*k**3*(k + 1)*(2*k - 1)/9
Factor -1/4*n**2 - 1 - n.
-(n + 2)**2/4
Let v(q) be the second derivative of -q**9/1008 - q**8/280 + q**6/60 + q**5/40 + 2*q**3/3 + q. Let r(p) be the second derivative of v(p). Factor r(w).
-3*w*(w - 1)*(w + 1)**3
Suppose -a = -5*w + 4*a + 5, 4*w - 5*a = 4. Let f = w + 1. What is g in -9 + 9 + g**f = 0?
0
Let r(f) be the first derivative of -5*f**6/2 + 17*f**5 - 75*f**4/2 + 30*f**3 + 5*f**2/2 - 15*f - 34. Suppose r(s) = 0. What is s?
-1/3, 1, 3
Let z be (16/(-12))/(4/(-6)). Let c(i) = 3*i**3 + 4*i**2 + 5*i. Let g(o) = 7*o**3 + 8*o**2 + 10*o - 1. Let k(y) = z*g(y) - 5*c(y). Find m such that k(m) = 0.
-2, -1
Suppose -5*b - 3*a - 2*a + 10 = 0, -12 = -4*b - 2*a. Suppose 0*k**3 - 2/7 + 4/7*k**2 + 0*k - 2/7*k**b = 0. Calculate k.
-1, 1
Factor -3/2*l**4 + 3/2*l**2 + 0 + 0*l**3 - 3/4*l**5 + 3/4*l.
-3*l*(l - 1)*(l + 1)**3/4
Let q be (-16)/24 + 34/6. Factor 29*h**4 + 3*h**3 + 7*h**5 + 8*h**q + 0*h**5 - 5*h**4 - 6*h**2.
3*h**2*(h + 1)**2*(5*h - 2)
Suppose 166*h**3 - 656*h**4 + 4*h + 75*h**3 + 188*h**4 - 52*h**2 + 324*h**5 = 0. Calculate h.
0, 2/9, 1/2
Let r(a) be the third derivative of a**8/560 - a**7/140 + a**6/120 - 5*a**3/6 + 5*a**2. Let u(t) be the first derivative of r(t). Factor u(f).
3*f**2*(f - 1)**2
Let m(q) = q + 5. Let t be m(-3). Let k be 1 + (7 - (t + -2)). Solve -6*x**3 + 0*x**2 + k*x**2 + 0*x - 2*x = 0.
0, 1/3, 1
Let x(d) = -17*d**2 - 35*d - 8. Let v(l) be the first derivative of 16*l**3/3 + 17*l**2 + 8*l - 3. Let j(h) = 3*v(h) + 2*x(h). Factor j(a).
2*(a + 2)*(7*a + 2)
Factor 5*v**2 + 7*v + v - 3*v.
5*v*(v + 1)
Let q be -30*(-3 + 6)/(-3). Factor -20*t**3 + 7 - q - 9 - 112*t - 88*t**2.
-4*(t + 2)**2*(5*t + 2)
Let d(v) = v. Let t be d(5). Suppose -t = -5*g + 5. What is x in -3*x - 2*x**g + 3*x = 0?
0
Let s be (16/(-6))/(2/(-3)). Suppose -n = w, -s*w + 3*n = -n. Find v, given that 1 - 1/2*v**3 + w*v**2 + 3/2*v = 0.
-1, 2
Let b(h) be the third derivative of -2*h**2 - 1/108*h**4 + 2/135*h**5 + 0 + 0*h + 0*h**3. Factor b(g).
2*g*(4*g - 1)/9
Let r(s) be the second derivative of -s**6/10 + 3*s**5/20 + s**4/2 + 3*s. What is v in r(v) = 0?
-1, 0, 2
Suppose -7*r + 9*r + 78 = 0. Let t = -36 - r. Factor -1/4*f**4 - 1/4 - 3/2*f**2 + f + f**t.
-(f - 1)**4/4
Let x(s) be the second derivative of 1/9*s**4 - 1/3*s**2 - 1/63*s**7 - 1/45*s**6 - 7*s + 0 - 1/9*s**3 + 1/15*s**5. Solve x(i) = 0 for i.
-1, 1
Let m(s) be the first derivative of -2*s**5/5 - s**4 + 2*s**3/3 + 2*s**2 + 8. Factor m(n).
-2*n*(n - 1)*(n + 1)*(n + 2)
Let r(d) be the second derivative of d**7/42 - d**5/10 + d**3/6 + 2*d. Factor r(s).
s*(s - 1)**2*(s + 1)**2
Let w(o) be the third derivative of o**5/330 + o**4/44 + 2*o**3/33 - o**2 - 45. Factor w(p).
2*(p + 1)*(p + 2)/11
Let g = 8 - 6. Suppose -4*q + y + 78 - 11 = 0, -q + 1 = 5*y. Factor 16*o - q*o - g*o**4.
-2*o**4
Factor 6*z**2 + 16*z - 12*z + 18*z + 0*z**2 + 12.
2*(z + 3)*(3*z + 2)
Let x(k) be the first derivative of -4*k**3/3 + 6*k**2 + 3. Find d such that x(d) = 0.
0, 3
Let g(r) be the second derivative of r**7/420 + r**6/180 - r**5/60 - r**4/12 + r**3 + 10*r. Let w(p) be the second derivative of g(p). Factor w(t).
2*(t - 1)*(t + 1)**2
Let s(f) be the second derivative of -7*f**5/4 - 11*f**4/2 - 37*f**3/6 - 3*f**2 - 3*f. What is a in s(a) = 0?
-1, -3/5, -2/7
Let d(k) be the first derivative of 2*k**5/5 + 5*k**4/2 + 16*k**3/3 + 4*k**2 - 6. Factor d(c).
2*c*(c + 1)*(c + 2)**2
Solve -28/9*u**5 + 64/9*u**4 + 0 - 64/9*u**2 + 4/3*u**3 + 16/9*u = 0 for u.
-1, 0, 2/7, 1, 2
Factor -6 + 2*w**2 - 4*w**2 + 4*w - 2*w**3 + 7*w - w.
-2*(w - 1)**2*(w + 3)
Let p(j) be the second deriva