 - 2)**2*(s + 1)
Let b be 3 + 8 - (2 - 0). Suppose 0 = -5*a - 5*r + 49 - b, 4*r - 20 = 0. Suppose 2*m**4 + 4 - 4*m - 3*m**2 + 4*m**a + 0*m - 3*m**4 = 0. What is m?
-1, 1, 2
Suppose 0 = -3*z + 9. Let y be z*(-4 + 28/6). Factor -a**2 + 5 - 1 + 2 - 11*a**y + 21*a.
-3*(a - 2)*(4*a + 1)
Let w(t) be the first derivative of 10 - 1/3*t**2 + 4/9*t + 1/18*t**4 + 0*t**3. Factor w(z).
2*(z - 1)**2*(z + 2)/9
Let a(s) = -s**3 + 5*s**2 - s - 9. Let x be a(4). Let o(l) be the first derivative of 0*l - 1/15*l**5 - 5 + 0*l**2 - 1/12*l**4 + 0*l**x. Factor o(w).
-w**3*(w + 1)/3
Let y(m) be the first derivative of 3*m**5/20 + 39*m**4/16 + 41*m**3/4 + 141*m**2/8 + 27*m/2 + 311. Let y(t) = 0. Calculate t.
-9, -2, -1
Suppose 0 = -4*a + 3*t + 64, -2*a + t - 7 + 39 = 0. Determine g, given that -g**3 - 5*g**3 + 40*g**2 - g**4 + 24*g - 41*g**2 + 0*g**3 - a = 0.
-4, 1
Let i(f) be the second derivative of 1/147*f**7 - 1/21*f**4 + 0*f**5 + 0*f**2 + 13*f + 2/105*f**6 + 0 - 1/21*f**3. Factor i(n).
2*n*(n - 1)*(n + 1)**3/7
Let j(v) be the second derivative of -27*v**5/5 + 7*v**4 + 34*v**3/9 + 2*v**2/3 - 74*v. Find a such that j(a) = 0.
-1/9, 1
Solve 20*q + 1/6*q**2 + 600 = 0.
-60
Let q(k) = 5*k**2 - 2. Let i be q(2). Suppose 4*g - i = 2*g. Factor -9*r**3 - 3*r**2 + 0*r - g*r**4 + 0*r + r**5 - 4*r**5.
-3*r**2*(r + 1)**3
Let c(d) be the second derivative of -1/12*d**4 + 0 + d**3 + 4*d - 9/2*d**2. Factor c(v).
-(v - 3)**2
Suppose 8*b - 449 = -425. Let k(u) be the second derivative of 0*u**2 + 6*u + 0 - 1/7*u**b - 1/105*u**6 + 3/70*u**5 + 1/42*u**4. Factor k(r).
-2*r*(r - 3)*(r - 1)*(r + 1)/7
Let t be (6/3 - -265)*21/(-63). Let b = 91 + t. Factor 2/5 + 32/5*h**b + 16/5*h.
2*(4*h + 1)**2/5
Let m(s) be the second derivative of 0 + 1/42*s**4 + 1/140*s**5 + 0*s**3 + 0*s**2 - 1/105*s**6 - 20*s - 1/294*s**7. Find l such that m(l) = 0.
-2, -1, 0, 1
Let d(k) be the first derivative of -k**5/15 - k**4/2 + 20*k**3/3 - 68*k**2/3 + 32*k - 980. Factor d(h).
-(h - 2)**3*(h + 12)/3
Factor -12*v**2 - 15*v + 3*v**3 - 483755 + 483755.
3*v*(v - 5)*(v + 1)
Let d(r) be the third derivative of -r**8/5040 - r**7/252 + r**6/30 - r**5/20 - 14*r**2. Let i(q) be the third derivative of d(q). Factor i(w).
-4*(w - 1)*(w + 6)
Let a(t) = -t**2 + 184*t - 175. Let p(j) = 5*j**2 - 735*j + 700. Let v(b) = -15*a(b) - 4*p(b). Suppose v(s) = 0. What is s?
1, 35
Solve v**4 - 11/6*v**3 - 1/6 + 1/2*v + 1/2*v**2 = 0 for v.
-1/2, 1/3, 1
Let a(k) be the second derivative of -2/15*k**6 + 35*k + k**2 + 0 - 1/5*k**5 + 5/6*k**3 + 1/6*k**4 - 1/42*k**7. Determine u, given that a(u) = 0.
-2, -1, 1
Let k(p) be the third derivative of -p**6/240 + p**5/60 - p**4/48 + 109*p**2. Factor k(i).
-i*(i - 1)**2/2
Suppose 3*a + a = 12. Suppose -a*r = 5*r - 24. Solve 0 - 2/7*t**5 + 0*t + 2/7*t**r + 2/7*t**2 - 2/7*t**4 = 0.
-1, 0, 1
Let j(g) = g**3 + 6*g**2 + 4*g - 11. Let o be j(-3). Factor 3/8*w**o - 1/8*w**5 - 1/8 - 1/4*w**2 - 1/4*w**3 + 3/8*w.
-(w - 1)**4*(w + 1)/8
Let h(f) be the second derivative of f**6/840 - 3*f**5/70 + 9*f**4/14 - 2*f**3/3 + 14*f. Let r(q) be the second derivative of h(q). Suppose r(p) = 0. What is p?
6
Factor 2/19*n + 6/19*n**2 + 0 + 4/19*n**3.
2*n*(n + 1)*(2*n + 1)/19
Factor 0 + 10/13*j - 2/13*j**2.
-2*j*(j - 5)/13
Let x(i) = i**3 - 6*i**2 + 5*i - 7. Let u be x(5). Let n be 4 + ((-39)/u)/(-3)*2. Suppose -12/7*a**2 - 16/7 - n*a**3 - 24/7*a = 0. What is a?
-2
Let 2/11*o**4 - 2/11*o**2 + 4/11*o**3 + 0 - 4/11*o = 0. What is o?
-2, -1, 0, 1
Let t = -225 - -223. Let g be (2/7)/(t/(-28) + 0). Factor 0 + 8/5*r**g + 8/5*r**2 + 12/5*r**3 + 2/5*r**5 + 2/5*r.
2*r*(r + 1)**4/5
Let k(v) be the third derivative of -v**6/360 + v**5/36 + 11*v**4/24 + 3*v**3/2 + 3*v**2 + 34*v. What is p in k(p) = 0?
-3, -1, 9
Let c = 83 + -79. Suppose c*i + 3 = 3*d, 4*i + i + 5*d - 5 = 0. Factor i*h**3 + 1/7*h**2 + 0 + 0*h - 1/7*h**4.
-h**2*(h - 1)*(h + 1)/7
Let f(j) be the first derivative of 2/13*j**3 + 3/13*j**2 + 1/26*j**4 + 2/13*j - 9. Factor f(c).
2*(c + 1)**3/13
Let y(c) be the second derivative of c**5/210 - 5*c**4/84 + 2*c**3/7 - 13*c**2/2 + 36*c. Let r(j) be the first derivative of y(j). Let r(i) = 0. Calculate i.
2, 3
Suppose 0 = -4*p - 4*r + 4 + 8, -2*p + 4*r = 12. Factor 0*a + p*a**2 - 2/3*a**3 + 1/3*a**4 + 0.
a**3*(a - 2)/3
Find p, given that -852 - 157*p + 915 + 69*p**2 + 28*p - 3*p**3 = 0.
1, 21
Suppose -1058/15*z**2 - 42/5*z**5 + 352/15*z + 1214/15*z**3 - 8/3 - 114/5*z**4 = 0. Calculate z.
-5, 2/7, 1/3, 2/3, 1
Let v be (-32)/(-7) + 1*24/(-42). Suppose -d - 7 = -4*m, -1 - v = -4*m + 3*d. Factor 4/3*z**3 + 10/3*z**4 + 0*z + 0 + 0*z**m.
2*z**3*(5*z + 2)/3
Let x(b) = 69*b**4 + 96*b**3 + 9*b**2 - 24*b + 9. Let o(v) = -35*v**4 - 48*v**3 - 5*v**2 + 12*v - 5. Let l(m) = 10*o(m) + 6*x(m). Factor l(w).
4*(w + 1)**2*(4*w - 1)**2
Let v(u) be the second derivative of u**6/30 - u**4/2 + 4*u**3/3 + 3*u**2 - 19*u. Let t(j) be the first derivative of v(j). Factor t(s).
4*(s - 1)**2*(s + 2)
Let f(z) be the third derivative of 0*z - 1/30*z**6 - 31*z**2 - 4/3*z**3 + 2/15*z**5 + 0 + 1/6*z**4. Factor f(o).
-4*(o - 2)*(o - 1)*(o + 1)
Let g be (-2)/9 - (-2)/9. Let s(r) = -r**3 - r**2 + 2. Let a be s(g). Suppose -53*i + i**3 - 2*i**3 + 53*i + i**a = 0. What is i?
0, 1
Let x(q) be the second derivative of 0 - 2/9*q**3 + 12*q + 1/60*q**5 + 1/36*q**4 - 2/3*q**2. What is w in x(w) = 0?
-2, -1, 2
Let o(k) be the first derivative of -722*k**5/5 + 969*k**4/2 + 220*k**3 + 676*k**2/19 + 48*k/19 - 261. Suppose o(p) = 0. What is p?
-2/19, 3
Let k(c) = -c**3 + 10*c**2 + 3*c + 7. Let q be k(10). Suppose 0 = q*g - 43*g. Factor 2/3*x**5 + 0*x + 0 + 2/3*x**3 + g*x**2 - 4/3*x**4.
2*x**3*(x - 1)**2/3
Let p(r) = 8*r**3 + 20*r**2 + 35*r. Let y(w) = -46*w**3 - 120*w**2 - 209*w. Let u(m) = -34*p(m) - 6*y(m). Factor u(h).
4*h*(h + 2)*(h + 8)
Solve -32*x**3 - 108*x**2 + 15*x**4 - 19*x**4 - 48*x + 32*x**2 = 0.
-4, -3, -1, 0
What is y in 7/2*y - 5 - 1/2*y**2 = 0?
2, 5
Let w(t) be the third derivative of -1/1176*t**8 - 1/84*t**6 + 0*t + 30*t**2 + 0 + 0*t**4 + 0*t**3 + 1/105*t**5 + 4/735*t**7. Factor w(v).
-2*v**2*(v - 2)*(v - 1)**2/7
Solve 3*h**3 - 4/3*h**2 - 1/3*h**5 + 0*h**4 - 4*h + 0 = 0 for h.
-3, -1, 0, 2
Let c(g) be the third derivative of -g**7/1470 + g**6/280 - g**5/420 - g**4/56 + g**3/21 + 50*g**2. Factor c(v).
-(v - 2)*(v - 1)**2*(v + 1)/7
Let f(u) be the first derivative of -u**4/54 + u**2/9 + 11*u + 18. Let q(n) be the first derivative of f(n). Let q(w) = 0. Calculate w.
-1, 1
Let q(g) be the third derivative of g**9/13440 + g**8/2016 + g**7/2520 + 31*g**5/60 - 8*g**2. Let l(p) be the third derivative of q(p). Factor l(b).
b*(b + 2)*(9*b + 2)/2
Let c = 216 - 405. Let n be 1 + -6 - c/35. Factor 0*p - 2/5 + n*p**2.
2*(p - 1)*(p + 1)/5
Suppose -5*b = 5*s + 15, 0 = 17*s - b - 7 + 4. Factor -8/3*v**3 + 4/3*v + 14/3*v**2 + s.
-2*v*(v - 2)*(4*v + 1)/3
Factor 0*z**2 + 170*z - 3*z**2 - 6 - 194*z - 6*z**2 - 14 - z**3.
-(z + 2)**2*(z + 5)
Let f(x) be the first derivative of 2*x**6/3 + 164*x**5/5 + 478*x**4 + 4792*x**3/3 + 2242*x**2 + 1444*x - 84. Factor f(m).
4*(m + 1)**3*(m + 19)**2
Suppose -4*m + 8 + 0 = 0. Solve -4*q + 164*q**2 + 163*q**2 - 323*q**m = 0 for q.
0, 1
Factor 1174*a**4 + 40*a**3 + 2*a**5 + 29*a**2 + 3*a**2 - 1158*a**4.
2*a**2*(a + 2)**2*(a + 4)
Let h(x) be the third derivative of -x**8/96 + x**7/140 + 152*x**2. Factor h(p).
-p**4*(7*p - 3)/2
Let g = -29 + 31. Let k be (g/(-4))/(5/(-20)). Let 2/3*b - 2/3*b**k + 0 = 0. What is b?
0, 1
Determine s so that 280 - 5*s**2 + 277 + 14*s - 557 + 3*s**2 = 0.
0, 7
Let c(w) be the third derivative of w**6/120 - w**5/10 + 5*w**4/24 - 195*w**2. Solve c(r) = 0 for r.
0, 1, 5
Let n(x) be the second derivative of -x**4/66 + 2*x**3/33 + 3*x**2/11 + 29*x + 1. Solve n(s) = 0 for s.
-1, 3
Let z(j) = 2*j**2 + 31*j - 10. Let l be z(-16). Let i be (-2)/l - ((-56)/(-21))/(-4). Factor 0*y + 0 + 0*y**2 + i*y**4 + y**3.
y**3*(y + 3)/3
Suppose 10*n - 5/2*n**3 - 30 + 15/2*n**2 = 0. What is n?
-2, 2, 3
Factor 186/5*a**2 + 384/5*a + 3/5*a**4 + 39/5*a**3 + 288/5.
3*(a + 2)*(a + 3)*(a + 4)**2/5
Find a, given that -39/2*a**3 - 3/4*a**5 + 225/4*a + 39/2*a**2 - 189/4 - 33/4*a**4 = 0.
-7, -3, 1
Let z(b) be the second derivative of -b**6/180 - b**5/20 + 11*b**3/3 + 5*b. Let d(x) be the second derivative of z(x). Solve d(s) = 0 for s.
-3, 0
Suppose 18 -