 0 + 1/3*u**3 + 1/30*u**5. Solve z(s) = 0 for s.
-1
Factor -5/2*o**3 + 105/2*o + 45/2*o**2 + 55/2.
-5*(o - 11)*(o + 1)**2/2
Let n = -27 - -31. Suppose 3*b**4 + 9*b**3 - 6*b**n + 4*b**3 - 7*b**3 - 3*b**5 = 0. What is b?
-2, 0, 1
Suppose 4 = 3*r - 2*s, -3*r + 1 + 1 = -4*s. Let z be (0 - -1) + (-59 - -60). Find i, given that 4*i - 6*i**r + 3 - 12*i**2 + 19*i**z = 0.
-3, -1
Let w be (-35)/60*(-224)/980*4*5. Factor w*c + 2/3*c**2 + 8/3.
2*(c + 2)**2/3
Let k(d) be the third derivative of d**8/1512 - 2*d**7/315 + 13*d**6/540 - 2*d**5/45 + d**4/27 + 330*d**2. Find w such that k(w) = 0.
0, 1, 2
Determine w so that 4*w**2 - 3/2*w - w**4 + 0 - 3/2*w**3 = 0.
-3, 0, 1/2, 1
Let b(n) be the third derivative of -2*n**7/105 - 11*n**6/30 - 3*n**5/5 + 119*n**4/6 - 196*n**3/3 + 177*n**2. Factor b(m).
-4*(m - 2)*(m - 1)*(m + 7)**2
Let i = -40 + 42. Solve 10*v**4 - v**2 - 9*v**4 - 4*v**4 + 4*v**i = 0.
-1, 0, 1
Let 3/4*h**5 + 3*h**4 + 3/2*h**2 + 0*h + 0 + 15/4*h**3 = 0. Calculate h.
-2, -1, 0
Let d = 2447/3 - 815. Let s be 30/9 + -3 + 1. Let d + 2/3*y**5 + 2/3*y**4 - s*y**2 - 4/3*y**3 + 2/3*y = 0. What is y?
-1, 1
Let o(q) be the second derivative of 2*q**7/21 - 17*q**6/150 - 21*q**5/20 - 73*q**4/60 + q**3/30 + 3*q**2/5 - q - 4. Solve o(u) = 0.
-1, -2/5, 1/4, 3
Let z = 6253/987 - 7/141. Suppose -12/7 - 20/7*d + z*d**2 - 12/7*d**3 = 0. Calculate d.
-1/3, 1, 3
Factor 62*j**2 + 74*j + 119*j + 301 - 16*j**3 - 171 + 15*j**3.
-(j - 65)*(j + 1)*(j + 2)
Let x(s) be the second derivative of 3*s**4/4 - 26*s**3 - 54*s**2 + 10*s - 6. Factor x(w).
3*(w - 18)*(3*w + 2)
Find z, given that 0*z + 0 - 1/4*z**4 - 5/4*z**3 + 3/2*z**2 = 0.
-6, 0, 1
Let m(u) = 8*u**3 - u - 7. Let k(n) = 5*n**3 + n - 2. Let t(z) = 19*z**3 + 5*z - 6. Let d(f) = 9*k(f) - 2*t(f). Let o(s) = 7*d(s) - 6*m(s). Factor o(l).
l*(l - 1)*(l + 1)
Suppose -130*q - 79 + 339 = 0. Factor 8/3*g - 7/3 - 1/3*g**q.
-(g - 7)*(g - 1)/3
What is y in 0*y + 1/8*y**3 + 0 + 25/8*y**2 = 0?
-25, 0
Let i(l) be the second derivative of -l**8/4480 - l**7/720 + l**6/240 - l**4/4 - 12*l. Let b(u) be the third derivative of i(u). Find m, given that b(m) = 0.
-3, 0, 2/3
Let k(t) be the second derivative of t**5/140 - 19*t**4/84 + 3*t**3/2 - 45*t**2/14 + 12*t - 2. Factor k(s).
(s - 15)*(s - 3)*(s - 1)/7
Let a be (16/270)/2*685/274. Let n(w) be the first derivative of 3 - 1/9*w**2 + a*w**3 + 0*w. Factor n(c).
2*c*(c - 1)/9
Let z = 25310 + -25308. Factor 1/4*q**z + 121/4 + 11/2*q.
(q + 11)**2/4
Let l(n) be the third derivative of -n**5/360 - 101*n**4/72 - 10201*n**3/36 - 26*n**2 - 6*n. Factor l(y).
-(y + 101)**2/6
Let b(r) be the third derivative of r**11/66528 - r**10/30240 - r**9/6048 - r**5/10 - 17*r**2. Let s(n) be the third derivative of b(n). Factor s(t).
5*t**3*(t - 2)*(t + 1)
Let g = -2025/4 + 507. Let c = 23 + -17. Factor -c*z - 12 - g*z**2.
-3*(z + 4)**2/4
Let w = 90 + -75. Let c = 163/5 + -32. Find q such that -c*q**2 - 6*q - w = 0.
-5
Let i(p) be the third derivative of -245/6*p**3 + 0 - 18*p**2 - 1/12*p**5 + 0*p + 35/12*p**4. Let i(y) = 0. Calculate y.
7
Let z(j) be the third derivative of 1/80*j**5 - 3/160*j**6 + 0*j + 0*j**4 - 1/448*j**8 + 0 + 3/280*j**7 - 8*j**2 + 0*j**3. Determine p so that z(p) = 0.
0, 1
Factor -12/5 + 12/5*x - 6/5*x**3 - 3/5*x**4 + 9/5*x**2.
-3*(x - 1)**2*(x + 2)**2/5
Solve 50/9*b**2 - 2/9*b**3 + 32 - 112/3*b = 0.
1, 12
Let x = 19 - 17. Find k such that -6*k**2 + 3*k**2 + 5*k + k**4 - k**3 + k**2 - k**2 - x = 0.
-2, 1
Let w(c) = -c**3 - 3*c**2 - 5*c - 3. Let a be w(-2). Let l(v) be the first derivative of -9/5*v**5 + 0*v - 4 + 3/2*v**4 - a*v**2 + 3*v**3. Factor l(m).
-3*m*(m - 1)*(m + 1)*(3*m - 2)
Suppose -7*n = o - 10, 10 - 19 = -2*o - 3*n. Solve -o*v**2 + 0 + 3/4*v**3 + 9/4*v = 0.
0, 1, 3
Let g = 9946/15 + -663. Let j(f) be the second derivative of 0 + 5*f + g*f**6 + 0*f**3 + 0*f**2 - 1/10*f**5 - 1/3*f**4. Factor j(o).
2*o**2*(o - 2)*(o + 1)
Let z(p) be the second derivative of 1/2*p**6 - 3/5*p**5 + 0 - 19*p - 1/7*p**7 + 0*p**3 + 0*p**2 + 1/4*p**4. Factor z(l).
-3*l**2*(l - 1)**2*(2*l - 1)
Let z(c) be the third derivative of 1/21*c**4 - 1/420*c**5 + 0 - 3*c**2 - 8/21*c**3 + 0*c. Factor z(m).
-(m - 4)**2/7
Factor 0 + 2/7*z**4 + 142/7*z**2 + 6*z**3 + 102/7*z.
2*z*(z + 1)*(z + 3)*(z + 17)/7
Let l(y) = 39*y**4 - 159*y**3 + 108*y**2 - 3*y - 3. Let i(n) = 10*n**4 - 39*n**3 + 27*n**2 - n - 1. Let b(a) = 9*i(a) - 2*l(a). Determine o so that b(o) = 0.
-1/4, 1
Let z(d) be the first derivative of -d**4/14 - 10*d**3/21 - d**2 - 6*d/7 + 181. Solve z(t) = 0 for t.
-3, -1
Solve 4*r**5 + 0*r**4 + 51*r**3 + 4*r**2 + 4*r**4 + 18*r + 17*r**4 + 47*r**2 - r**5 = 0.
-3, -2, -1, 0
Let o(q) be the first derivative of -q**6/360 - q**5/40 - q**4/12 + q**3 + 7. Let c(d) be the third derivative of o(d). Determine u so that c(u) = 0.
-2, -1
Factor 0*h**3 + 0*h + 10*h**2 - 2/5*h**4 + 0.
-2*h**2*(h - 5)*(h + 5)/5
Determine p, given that -40*p**3 + 108*p**2 - 1538*p + 2916 + 566*p + 70*p**3 - 34*p**3 = 0.
9
Solve 72/11 - 26/11*m + 2/11*m**2 = 0 for m.
4, 9
Let p = -554 + 556. Let x(k) be the third derivative of 0*k**7 + 0*k**3 + 0*k**5 - 1/1176*k**8 + 1/210*k**6 - 1/84*k**4 + 0*k + 4*k**p + 0. Factor x(i).
-2*i*(i - 1)**2*(i + 1)**2/7
Let i = 55/266 - -3/38. Let 10/7*h**2 - i*h + 2/7*h**3 - 10/7 = 0. What is h?
-5, -1, 1
Let f(y) = -6*y**2 - 14*y - 12. Let w(s) = -3*s + 46. Let q be w(17). Let h(i) = 6*i**2 + 15*i + 14. Let a(j) = q*f(j) - 4*h(j). Factor a(l).
2*(l + 1)*(3*l + 2)
What is a in -250*a + 5*a**2 + 1141 + 834 + 1150 = 0?
25
Let m be (-26)/(-5) + 10/(-50). Suppose -5*z + 25 = m*o - 2*o, -z + 5 = -3*o. Factor 0*y + 5/2*y**3 + 3/2*y**z + 0 + 7/2*y**4 + 1/2*y**2.
y**2*(y + 1)**2*(3*y + 1)/2
Let n(i) be the second derivative of -i**5/15 - i**4/2 + 8*i**3/3 + 11*i**2/2 - 15*i. Let l(g) be the first derivative of n(g). Suppose l(z) = 0. What is z?
-4, 1
Factor -5 - 1 + 40*i**2 - 39*i**2 + i.
(i - 2)*(i + 3)
Let s be 15*42/216 - (-7)/84. Let r(p) be the third derivative of 1/210*p**5 + 0*p**s + 3*p**2 + 0*p + 0 + 0*p**4. Factor r(h).
2*h**2/7
Let h(q) be the second derivative of -q**9/5040 + q**8/1120 - q**7/840 - 2*q**4/3 + 14*q. Let p(l) be the third derivative of h(l). Factor p(n).
-3*n**2*(n - 1)**2
Let l(g) be the third derivative of 0*g**3 + 1/70*g**7 - 1/5*g**5 + 1/20*g**6 + 0 + 0*g - g**4 - 23*g**2. Factor l(d).
3*d*(d - 2)*(d + 2)**2
Let z = -9851 - -49303/5. Let -36/5*f**5 - z*f**2 + 72/5*f**4 - 8/5*f**3 + 8/5 + 12/5*f = 0. Calculate f.
-2/3, -1/3, 1
Let o be 90/(-20) - (111/(-6) - -12). Determine l so that -36/5*l**o + 24/5 - 20*l = 0.
-3, 2/9
Let t(s) be the second derivative of -s**7/14 - 17*s**6/10 + 303*s**5/20 - 191*s**4/4 + 76*s**3 - 66*s**2 + 311*s. Factor t(q).
-3*(q - 2)*(q - 1)**3*(q + 22)
Let s(d) be the second derivative of 3*d**5/2 + 95*d**4/12 + 5*d**3/2 - 2*d + 39. Factor s(m).
5*m*(m + 3)*(6*m + 1)
Let y(b) be the second derivative of 1/2*b**3 + 1/12*b**4 - 12*b + b**2 + 0. Factor y(h).
(h + 1)*(h + 2)
Factor 4*x**3 + 1409*x + 1458*x - 225*x**2 + 2645 + x**3 - 452*x.
5*(x - 23)**2*(x + 1)
Let w(q) be the third derivative of q**6/90 + 143*q**5/90 + 665*q**4/9 + 1225*q**3/3 + 836*q**2. Factor w(t).
2*(t + 35)**2*(2*t + 3)/3
Let y(o) be the first derivative of -o**6/90 - o**5/45 + o**4/18 + 2*o**3/9 + 6*o**2 - 9. Let a(m) be the second derivative of y(m). Factor a(s).
-4*(s - 1)*(s + 1)**2/3
Let k(n) be the third derivative of 0*n - 1/160*n**6 + 3/32*n**4 + 0*n**3 + 1/40*n**5 - 15*n**2 + 0. Factor k(g).
-3*g*(g - 3)*(g + 1)/4
Suppose -4*h + 8 = 0, 2*h + 162 = g - 3*h. Suppose t = -170 + g. Factor 0 - 6/5*f**t + 2/5*f**3 + 4/5*f.
2*f*(f - 2)*(f - 1)/5
Let p be (((-42)/(-9))/((-42)/(-12)))/((-26)/(-3)). Determine k, given that 8/13*k - 10/13 + p*k**2 = 0.
-5, 1
Let 3/5*c**3 + 0 + 16/5*c**2 - 1/5*c**4 + 12/5*c = 0. Calculate c.
-2, -1, 0, 6
Let m(c) be the third derivative of -c**7/1260 - c**6/540 + c**5/30 - 23*c**3/3 - 43*c**2. Let y(q) be the first derivative of m(q). Factor y(j).
-2*j*(j - 2)*(j + 3)/3
Let y be ((-644)/(-20) - -7) + 1/(-5). What is p in 47*p + 3*p**2 - 20*p - y*p = 0?
0, 4
Let a be (-11)/(-3)*364/2002. Factor 1/9*n**3 + 4/9*n**2 + 1/9*n - a.
(n - 1)*(n + 2)*(n + 3)/9
Let r(b) = -b**3 - b**2 - 11*b - 21. Let v(n) = -4*n - 1. Let g be v(1). Let m(q) = -12*q - 20. Let l(o) = g*m(o) + 4*r(o)