se 5*u - 51 + 11 = 0. Suppose 0*r**2 + 0 + 9*r**3 + 3 - u*r - 7 + 3*r**2 = 0. Calculate r.
-2/3, 1
Let p be ((-7)/3 - -4) + 1/3. Let i(h) be the second derivative of 2*h + 2/9*h**p + 0 - 1/6*h**4 + 7/27*h**3. Solve i(r) = 0.
-2/9, 1
Let z(o) be the first derivative of o**3/6 - 3*o**2/4 + 2. Suppose z(b) = 0. What is b?
0, 3
Let y be (-6)/(-4)*16/12. What is v in 5*v**3 + y*v**2 - 6*v**3 - 3*v**2 = 0?
-1, 0
Let s(b) be the second derivative of 1/4*b**2 - 4*b - 1/8*b**3 + 0 + 1/48*b**4. Factor s(t).
(t - 2)*(t - 1)/4
Let v(o) = -o**2 - o - 1. Let u(a) = a - 3. Let n be u(2). Let y(f) = 18*f**2 + 15*f + 12. Let b(i) = n*y(i) - 15*v(i). Determine g, given that b(g) = 0.
-1, 1
Let g = 1/64 - -37/1728. Let t(o) be the second derivative of 1/27*o**3 - g*o**4 - 1/189*o**7 + 0 - 3*o + 0*o**5 + 2/135*o**6 + 0*o**2. Factor t(y).
-2*y*(y - 1)**3*(y + 1)/9
Let m be (10/15)/((-2)/(-3)). Let w be 4 + (1 + -3)*m. Solve w - 2*c**2 + c**3 + 5*c - 3*c - 3*c = 0.
-1, 1, 2
Let c(y) be the third derivative of y**7/15 + y**6/5 + 11*y**5/105 - y**4/7 + y**3/21 - 4*y**2. Factor c(p).
2*(p + 1)**2*(7*p - 1)**2/7
Let q(a) = a**5 - a**4 + a - 1. Let t(p) = 20*p**5 - 25*p**4 + 5*p**3 + 25*p - 25. Let k(s) = -25*q(s) + t(s). Find v, given that k(v) = 0.
-1, 0, 1
Let b(l) be the third derivative of -1/60*l**4 - 1/840*l**8 + 2/75*l**5 + l**2 + 0 + 0*l**3 - 1/50*l**6 + 0*l + 4/525*l**7. Find x, given that b(x) = 0.
0, 1
Let o = -9 - -16. Let v(n) be the second derivative of 2*n - 1/60*n**5 + 1/36*n**4 - 1/90*n**6 + 0 + 0*n**3 + 1/126*n**o + 0*n**2. Suppose v(k) = 0. What is k?
-1, 0, 1
Let q be (-1)/(-3) + 3 + 50/(-15). Factor -2/5*d**2 + 0*d - 2/5*d**4 + q - 4/5*d**3.
-2*d**2*(d + 1)**2/5
Let k(y) be the third derivative of y**7/630 - y**6/180 - y**5/60 + y**4/18 + 2*y**3/9 - 5*y**2. What is p in k(p) = 0?
-1, 2
Let l be (-4)/10 - (-12)/5. Suppose 2*w = 4*k, -2*k - w - 6 = -7*k. Factor 8*v + k*v**3 + 2 - l*v + 6*v**2 + 0.
2*(v + 1)**3
Let n(p) be the first derivative of -2*p**5/45 - p**4/6 - 2*p**3/9 - p**2/9 - 27. Factor n(v).
-2*v*(v + 1)**3/9
Let n be (-7)/4 + 1 - (-1 + 0). Suppose 0*t + n - 1/4*t**2 = 0. What is t?
-1, 1
Let h be (-4)/(-5) - 3/(-15). Factor h + n + 2*n + 2*n - 3*n + n**2.
(n + 1)**2
Suppose u - 2*y + 7 - 14 = 0, -2*y - 6 = 0. Suppose 0 = b - 5*p - 15, 0 = 4*b - 3*p - 10 + u. Factor -2/9*w + 2/9*w**2 + b.
2*w*(w - 1)/9
Let h be 1 - ((-119)/35 - -4). Find x such that 0 + h*x**2 + 6/5*x**4 + 2*x**3 - 2/5*x = 0.
-1, 0, 1/3
Let w(q) = -13*q**3 + 17*q**2 + 13*q - 17. Let h(k) = 3*k**3 - 4*k**2 - 3*k + 4. Let j(g) = 9*h(g) + 2*w(g). Factor j(d).
(d - 2)*(d - 1)*(d + 1)
Let p(a) = 33*a**3 - 24*a**2 - 21. Let m(c) = 8*c**3 - 6*c**2 - 5. Let o(j) = -21*m(j) + 5*p(j). Factor o(l).
-3*l**2*(l - 2)
Factor 2*t**2 + 0*t**2 - 5*t**2 + 3*t**3.
3*t**2*(t - 1)
Let g = 18 - 14. Let b(t) be the first derivative of 1/4*t**g - 2*t - 4/3*t**3 + 1 + 5/2*t**2. Let b(i) = 0. Calculate i.
1, 2
Let v(q) = -9*q**3 + 3*q**2 + 5*q + 7. Let i(d) be the second derivative of -d**5/4 + d**4/6 + d**3/2 + 2*d**2 - 2*d. Let t(y) = 7*i(y) - 4*v(y). Factor t(c).
c*(c + 1)**2
Factor 2/5*v**2 - 2/5 + 1/5*v - 1/5*v**3.
-(v - 2)*(v - 1)*(v + 1)/5
Let h be (-3)/(-10)*2/3. Let y(b) be the second derivative of 1/50*b**5 - h*b**2 + 1/30*b**4 + 2*b - 1/15*b**3 + 0. Factor y(q).
2*(q - 1)*(q + 1)**2/5
Let i(s) = s**3 - 5*s**2 + 2*s + 4. Let j be i(4). Let x(t) = -2*t - 6. Let u be x(j). Factor -5*y**3 - y**2 + 15*y**3 + 5*y**u - 10*y - 4.
2*(y - 1)*(y + 1)*(5*y + 2)
Let r = 14 - 14. Suppose a = -4*l + 11 + 4, 2*l + 5*a - 21 = r. Let -1/2*z - z**2 + 1 + 1/2*z**l = 0. Calculate z.
-1, 1, 2
Let t(k) = 4*k**4 + 10*k**3 - 6*k**2 - 8*k - 2. Let u(x) = -4*x**4 - 11*x**3 + 7*x**2 + 8*x + 3. Let q(h) = -3*t(h) - 2*u(h). Factor q(p).
-4*p*(p - 1)*(p + 1)*(p + 2)
Let d(x) = -x**2 + 7*x - 4. Let v be d(6). Factor -18/7*o - 8/7*o**v - 4/7.
-2*(o + 2)*(4*o + 1)/7
Let r(y) be the first derivative of -1/30*y**5 + 2*y**2 - 1/120*y**6 - 4 - 1/24*y**4 + 0*y + 0*y**3. Let t(a) be the second derivative of r(a). Factor t(o).
-o*(o + 1)**2
Find m such that 0 + 0*m - 1/3*m**2 = 0.
0
Let o(s) be the first derivative of 2*s**5/45 + 2*s**4/9 + 2*s**3/9 - 28. Factor o(c).
2*c**2*(c + 1)*(c + 3)/9
Factor 1298*f**2 - 10*f**4 + 5*f**3 + 5*f**5 - 1298*f**2.
5*f**3*(f - 1)**2
Let g(t) be the second derivative of t**5/50 - t**4/15 - t**3/15 + 2*t**2/5 + t. Factor g(z).
2*(z - 2)*(z - 1)*(z + 1)/5
Let t(a) be the second derivative of a**4/27 + 7*a**3/27 - 4*a**2/9 - 45*a. Let t(q) = 0. What is q?
-4, 1/2
Let t be 3/2 - (-57)/(-38). Factor -2/7*z**3 + 0*z**2 + t + 0*z.
-2*z**3/7
Suppose 57*w - 10 = 52*w. Factor 0*d**w + 0 + 0*d - 1/2*d**3.
-d**3/2
Suppose 8 = 16*x - 12*x. Determine w, given that 3/2*w**x - 3/2*w**3 + 0 + 0*w + 3/2*w**5 - 3/2*w**4 = 0.
-1, 0, 1
Let v(a) be the second derivative of -3*a**5/20 - a**4/4 + a**3 - 3*a. Factor v(g).
-3*g*(g - 1)*(g + 2)
Let z(d) be the first derivative of -2/11*d**2 + 1/11*d**4 + 2/55*d**5 - 2/33*d**3 + 0*d - 1. Solve z(w) = 0 for w.
-2, -1, 0, 1
Let w = 453 - 4072/9. Let x(l) be the first derivative of 2/9*l + 20/27*l**3 + 1 - w*l**4 - 5/9*l**2 - 1/27*l**6 + 2/9*l**5. Find f, given that x(f) = 0.
1
Determine i, given that -1 + 1/2*i**3 - 3/2*i + 0*i**2 = 0.
-1, 2
Let q(v) be the third derivative of -v**7/40 + 3*v**6/40 + v**5/20 + 9*v**2. Suppose q(t) = 0. What is t?
-2/7, 0, 2
Let b(u) be the third derivative of u**5/120 - u**4/16 + u**3/6 - 9*u**2. Determine c so that b(c) = 0.
1, 2
Determine q, given that 2/5*q**2 + 0 + 6/5*q = 0.
-3, 0
Suppose 6*r - 22 = 2*r - 2*v, 0 = -r + 2*v - 7. Let s(o) be the first derivative of -1/3*o**r - o - 3 - o**2. Factor s(q).
-(q + 1)**2
Let v(s) be the first derivative of 0*s - 2/45*s**5 + 1/6*s**4 - 2/9*s**3 + 1/9*s**2 + 5. Determine r, given that v(r) = 0.
0, 1
Suppose 0 = 4*u - u - 15. Factor -k**2 - 2*k**5 - k**3 + 3*k**5 + 0*k**u + k**4.
k**2*(k - 1)*(k + 1)**2
Let a(x) = -x**2 - x - 1. Let t(h) = -4*h**2 + 3*h - 7. Let k(z) = 5*a(z) - t(z). Let v be k(-8). Factor -4*j**2 - 6*j**v - 3 + 13*j**2.
3*(j - 1)*(j + 1)
Let v be -6 + 5 - 14/(-10). Suppose -v*c**2 + 4/5*c - 2/5 = 0. Calculate c.
1
What is c in 5 - 1 + 161*c - 2*c**2 - 159*c = 0?
-1, 2
Let s(f) be the first derivative of 1/120*f**6 + 1/2*f**2 - 7/72*f**4 - 1/90*f**5 - 1 - 1/9*f**3 + 0*f. Let k(d) be the second derivative of s(d). Factor k(x).
(x - 2)*(x + 1)*(3*x + 1)/3
Let v be (72/(-15) + 5)*15. Let u(w) be the second derivative of 0 - 1/42*w**4 - 9/7*w**2 + v*w - 2/7*w**3. Factor u(z).
-2*(z + 3)**2/7
Let p(n) = -20*n + 20. Let k(v) = -v**2 + 1. Let j(h) = -12*k(h) + p(h). Factor j(x).
4*(x - 1)*(3*x - 2)
Let q(g) be the first derivative of 2*g**3/3 - 5*g**2/2 + 2*g + 1. Let k be q(3). Factor -k + 5 + x**3 - x**4.
-x**3*(x - 1)
Let u(m) = -9*m**2 + 4*m**2 - 8*m**2 + m - 10 + m**3. Let h be u(13). Suppose -3 + 3 + 4*k**2 - h*k**2 - 1 = 0. Calculate k.
-1, 1
Determine v so that -16/9 - 4/3*v**2 + 8/3*v + 2/9*v**3 = 0.
2
Let m(n) be the first derivative of 9/4*n**4 + 3*n**2 - 4 - 3/5*n**5 + 0*n + 5*n**3 - 1/2*n**6. Solve m(t) = 0 for t.
-1, 0, 2
Let o = -701 - -77111/110. Let c(q) be the third derivative of -q**2 + 0*q**3 - 1/220*q**6 + 0*q - 1/132*q**4 - 1/1155*q**7 + 0 - o*q**5. Factor c(w).
-2*w*(w + 1)**3/11
Let f be 84/(-96)*(-5 + 1) - 3. Determine y, given that y**2 + 1/2*y**3 - f*y - 1 = 0.
-2, -1, 1
Factor -6*g**3 - 61/3*g**2 - 100/3 - 1/3*g**4 + 60*g.
-(g - 1)**2*(g + 10)**2/3
Factor 0*j**3 + 2*j**3 + 0*j**2 - 6*j**2.
2*j**2*(j - 3)
Let a(i) be the first derivative of i**5/10 - i**4/3 - 2*i + 2. Let w(o) be the first derivative of a(o). Solve w(l) = 0 for l.
0, 2
Let v(z) be the third derivative of 4*z**7/105 - z**6/60 - 2*z**5/15 + z**4/12 + 9*z**2. What is y in v(y) = 0?
-1, 0, 1/4, 1
Factor -5*f**2 + 4*f**2 - 25*f - 6*f**2 + 2*f**2 - 20.
-5*(f + 1)*(f + 4)
Let y(t) be the third derivative of -1/192*t**4 + 0*t**3 + 0 - 1/420*t**7 - 1/160*t**6 + 0*t - 1/120*t**5 + 2*t**2 - 1/2688*t**8. Factor y(u).
-u*(u + 1)**4/8
Let o(c) be the third derivative of 0*c**3 + 0*c - 2*c**2 + 0*c**4 + 3/100*c**5 - 1/350*c**7 - 1/100*c**6 + 0. Determine m so that o(m) = 0.
-3, 0, 1
Let u be (-195)/(-182) + 2/7*-2. Let -u*l - 1/2*l**4 + 0 - 3/2*l**2 - 3/2*l**3 = 0. What is l?
-1, 0
Let y(c) be the third 