) = -460*u**2 + 45*u. Let x(j) = 51*j**2 - 5*j. Let h(v) = -6*b(v) - 55*x(v). Solve h(g) = 0.
0, 1/9
Suppose -2*u + 11 = -5*c - 2, -c + 2 = -5*u. Let i = 7 + c. Factor 1/2*x**2 + 0 - 1/2*x**i - 1/2*x + 1/2*x**3.
-x*(x - 1)**2*(x + 1)/2
Let n(p) be the first derivative of 2*p**5/21 - p**4/3 + 8*p**3/21 - 2*p**2/21 - 2*p/21 + 1. What is f in n(f) = 0?
-1/5, 1
Let z(o) = -o**3 + 3*o**2 - o. Let w(y) = y**2 - y. Let f(r) = 5*w(r) - 5*z(r). Find p, given that f(p) = 0.
0, 2
Let m(u) be the first derivative of u**6/8 + 9*u**5/20 + 9*u**4/16 + u**3/4 + 6. Factor m(i).
3*i**2*(i + 1)**3/4
Let a(l) = -l**3 + 16*l**2 + 59*l - 38. Let y be a(19). Let 0*d**2 + 1/4*d**3 + y - 1/4*d = 0. What is d?
-1, 0, 1
Let j be 1/(-2) - 3 - -4. Let d = -1 - -1. Factor d - j*o - o**2 - 1/2*o**3.
-o*(o + 1)**2/2
Let k(q) be the third derivative of q**8/112 - q**6/10 - q**5/10 + 3*q**4/8 + q**3 + 7*q**2. Factor k(s).
3*(s - 2)*(s - 1)*(s + 1)**3
Solve 56/5*d**2 + 4/5*d**3 + 4/5*d**5 - 16/5*d**4 + 32/5 - 16*d = 0.
-2, 1, 2
Let s(m) = -m**2 - 6*m + 10. Let u(h) = h + 5. Let a be u(-12). Let x be s(a). Solve 3*n**5 + 4*n**x + 6*n**4 - 6*n**3 + 5*n**3 = 0 for n.
-1, 0
Let a(x) be the third derivative of -3*x**8/112 - x**7/10 + 3*x**6/20 + 3*x**5/5 - x**4 - 2*x**2. What is m in a(m) = 0?
-2, 0, 2/3, 1
Determine l so that l - l**3 + 8 + 4 - 3*l**2 - 9 = 0.
-3, -1, 1
Let t(f) = -f**2 + 8*f - 9. Let g be t(6). Suppose 2211*s**4 + 489*s**2 - 1089*s**5 - 2245*s**3 + 7 + 702*s**g - 3 - 72*s = 0. What is s?
2/11, 1/3, 1
Determine p, given that -1/2*p**2 + 3/2*p - 1 = 0.
1, 2
Factor -1/4*b**2 + 0*b**3 + 1/4*b**4 + 0*b + 0.
b**2*(b - 1)*(b + 1)/4
Let q be 5/((-75)/(-9))*10. Let s be q/(-45)*12/(-8). Factor -2/5*i - 1/5 - s*i**2.
-(i + 1)**2/5
Let l(r) = -5 - r**2 + 0*r**3 + 0*r**3 + 4*r + 7*r**2 + r**3. Let q be l(-5). Determine o, given that q + 1/2*o**2 + 1/2*o = 0.
-1, 0
Let a(y) = -2*y + 18. Let r be a(7). Suppose 0*l + 4 = 2*l + 2*m, -2*l - r*m + 8 = 0. Determine x, given that 1/4*x**3 + 1/4*x + l - 1/2*x**2 = 0.
0, 1
Let a be 5 + 1 - (0 - -6). Suppose a*c**4 + 0 + 0*c - 1/2*c**2 - 1/4*c**5 + 3/4*c**3 = 0. Calculate c.
-2, 0, 1
Let r(d) be the second derivative of 0 + 3/80*d**5 + 2*d - 3/40*d**6 + 3/16*d**4 - 1/4*d**3 + 1/56*d**7 + 0*d**2. Find a, given that r(a) = 0.
-1, 0, 1, 2
Let u be 7 + (-5)/((-10)/(-8)). What is j in 1/6*j**4 - 1/2*j**u + 0 - 1/6*j + 1/2*j**2 = 0?
0, 1
Let n(c) be the first derivative of c**6/54 + 2*c**5/45 + c**4/36 - 34. Factor n(w).
w**3*(w + 1)**2/9
Factor -7*x - 5*x**2 + 13*x - 12*x**3 + 4*x**4 + x**2 + 2*x + 4*x**5.
4*x*(x - 1)**2*(x + 1)*(x + 2)
Let i(a) be the second derivative of 0*a**2 + 1/30*a**6 + 7/40*a**5 + 0 - 1/12*a**7 + 0*a**3 - a - 1/12*a**4. Suppose i(s) = 0. Calculate s.
-1, 0, 2/7, 1
Let i(z) be the first derivative of 0*z - 2 + 2/27*z**3 - 2/9*z**2. Factor i(x).
2*x*(x - 2)/9
Let f be (20/(-16))/((-2)/8). Solve u**f + 0 + u**2 + 0 - u**3 - u**4 + 0 = 0 for u.
-1, 0, 1
Let o(p) = 13*p**2 - 25*p - 17. Let l(j) = -4*j**2 + 8*j + 6. Let g(d) = -14*l(d) - 4*o(d). Factor g(v).
4*(v - 4)*(v + 1)
Let h(z) be the first derivative of 1/2*z - 5/8*z**2 - 1 - 1/3*z**3 + 5/8*z**4 - 5/24*z**6 + 1/10*z**5. Let h(m) = 0. Calculate m.
-1, 2/5, 1
Let v(p) = -18*p**3 - 30*p**2 + 60*p - 24. Let j(d) = d. Let g(h) = -4*j(h) - v(h). Solve g(k) = 0.
-3, 2/3
Suppose 0 = 2*w + 3*w - 20. Let p(n) be the first derivative of -1/4*n + 1 - 1/4*n**3 - 1/16*n**w - 3/8*n**2. Let p(b) = 0. Calculate b.
-1
Let f(g) be the second derivative of -g**6/6 + 5*g**4/6 - 5*g**2/2 + 11*g. Solve f(u) = 0 for u.
-1, 1
Let u(y) = y - 6. Let d be u(7). Let k = 2 + d. Solve 7 + 2*i**2 - k - i + 7*i = 0 for i.
-2, -1
Let y(d) be the second derivative of -d**6/540 + d**5/90 - d**4/36 - d**3/6 + 7*d. Let z(m) be the second derivative of y(m). Factor z(h).
-2*(h - 1)**2/3
Let l(r) be the second derivative of -1/9*r**3 + 0 - 6*r + 0*r**2 - 1/90*r**6 - 5/36*r**4 - 1/15*r**5. Suppose l(t) = 0. Calculate t.
-2, -1, 0
Let h be 4 - (-64)/(-28) - (-14)/49. Find u such that -2*u**h + 2/7 + 36/7*u**4 - 30/7*u**3 + 6/7*u = 0.
-1/3, 1/2, 1
Find w, given that -75/7*w**2 + 12/7 - 12/7*w + 75/7*w**3 = 0.
-2/5, 2/5, 1
Let s(x) be the first derivative of -3*x**5/20 + x**4/8 - 5*x**2 + 2. Let h(l) be the second derivative of s(l). Find i, given that h(i) = 0.
0, 1/3
Let b(c) = 3*c**2 + 2*c + 3. Let u(n) = 4*n**2 + 3*n + 4. Let x(g) = -3*b(g) + 2*u(g). Let z(a) = -4*a**2 + 2*a + 2. Let v(y) = -2*x(y) + z(y). Factor v(i).
-2*(i - 2)*(i + 1)
Let j(q) = 3*q**4 + 15*q**3 - 21*q**2 - 15*q + 22. Let o(b) = 24*b**4 + 120*b**3 - 168*b**2 - 120*b + 177. Let t(v) = -33*j(v) + 4*o(v). Solve t(l) = 0 for l.
-6, -1, 1
Let d(i) = 10*i**2 - 4*i**2 - 5*i**2 + i - 3. Let z(r) = -4*r**2 - 5*r + 12. Let l(y) = 26*d(y) + 6*z(y). Find v, given that l(v) = 0.
-1, 3
Let b(w) be the second derivative of w**7/840 - w**6/180 - 7*w**3/6 - 7*w. Let r(i) be the second derivative of b(i). Factor r(l).
l**2*(l - 2)
Let z(p) be the first derivative of 7/20*p**5 - 1/2*p - 5/12*p**3 - 9/8*p**2 + 9/16*p**4 - 7. Factor z(x).
(x - 1)*(x + 1)**2*(7*x + 2)/4
Factor 20*r**3 - 49*r**4 + 33*r**4 - 3*r**2 - 5*r**2 + 4*r**5.
4*r**2*(r - 2)*(r - 1)**2
Let s(n) be the first derivative of -n**3/18 + n**2/4 + 8. Find l, given that s(l) = 0.
0, 3
Let m = -117 - -352/3. Determine i, given that 4/3 - m*i**3 - i**2 + 0*i = 0.
-2, 1
Let d(z) be the second derivative of 1/2*z**2 + 0 + 1/150*z**5 + z + 0*z**3 + 1/30*z**4. Let b(y) be the first derivative of d(y). Determine w so that b(w) = 0.
-2, 0
Let j(a) be the second derivative of 5/54*a**4 + 1/45*a**6 - 1/27*a**3 - a + 0 + 0*a**2 - 7/90*a**5. What is z in j(z) = 0?
0, 1/3, 1
Factor a**2 + 3/2*a**3 + 0 + 0*a + 1/2*a**4.
a**2*(a + 1)*(a + 2)/2
Suppose 9*r = -2*l + 7*r - 4, 5*l - 30 = 3*r. Determine a, given that 0 - 9/2*a**5 + 3/2*a + 21/4*a**4 - 21/4*a**2 + l*a**3 = 0.
-1, 0, 1/2, 2/3, 1
Let a(d) be the first derivative of -d**3/9 + d/3 + 5. Factor a(v).
-(v - 1)*(v + 1)/3
Factor -2/3 + 1/3*k + 1/3*k**2.
(k - 1)*(k + 2)/3
Let w = -138 + 140. Factor -9*g**w - 21/5*g**4 + 6/5 + 3/5*g + 57/5*g**3.
-3*(g - 1)**3*(7*g + 2)/5
Let h(i) be the third derivative of i**8/840 + 2*i**7/525 - i**6/100 - 2*i**5/75 + i**4/15 - 7*i**2. What is j in h(j) = 0?
-2, 0, 1
Find f, given that 0*f**3 + 2*f**3 - 2*f**3 - f**3 + 13*f + 7 + 5*f**2 = 0.
-1, 7
Let k be 1 + 22/(-6) + 3. Let p = -14/9 - -20/9. Solve p + 1/3*a - k*a**2 = 0.
-1, 2
Let k(r) be the third derivative of r**7/315 - r**6/90 - r**5/30 - 11*r**2. Solve k(i) = 0.
-1, 0, 3
Let y(g) be the third derivative of -g**8/2880 - g**7/315 - g**6/180 + g**5/12 + 3*g**2. Let p(x) be the third derivative of y(x). Let p(c) = 0. What is c?
-2, -2/7
Let s(j) = -j + 18. Let h be s(18). Factor -12/7*z**2 - 8/7*z**4 - 2/7*z - 18/7*z**3 + h.
-2*z*(z + 1)**2*(4*z + 1)/7
Suppose 8 = 4*c - 4*p, p - 4 = c - 3*c. Let v(w) be the second derivative of w - w**c + 0 + 0*w**3 + 1/6*w**4. Find q, given that v(q) = 0.
-1, 1
Let x(i) be the first derivative of -16/65*i**5 - 2/13*i - 3 - 12/13*i**3 + 7/13*i**2 + 10/13*i**4. Factor x(r).
-2*(r - 1)*(2*r - 1)**3/13
Let q(b) = 2*b**2 - 8*b + 22. Let k(c) = -c - 1. Let x(h) = 4*k(h) + q(h). Let x(p) = 0. Calculate p.
3
Determine c so that -3/4*c - 1/8*c**2 - 9/8 = 0.
-3
Let b = 74 - -3. Let u = 386/5 - b. Let 0 - 2/5*w**2 - u*w - 1/5*w**3 = 0. Calculate w.
-1, 0
Let d = 12 + -9. Factor -z**4 + z**2 - 2*z - z**2 + z**2 + 3*z - z**d.
-z*(z - 1)*(z + 1)**2
Suppose 5*d + y = 6, 0*d - d + y + 6 = 0. Solve -f + 1/2*f**d - 1/4*f**4 - 1/4 - f**5 + 2*f**3 = 0.
-1, -1/4, 1
Let k(l) be the third derivative of -l**7/840 - l**3/3 + 2*l**2. Let v(m) be the first derivative of k(m). Suppose v(a) = 0. Calculate a.
0
Factor 0*j + 1/3*j**2 - 1/3.
(j - 1)*(j + 1)/3
Let m = -13 - -15. Let s(i) be the first derivative of -5/6*i**3 + m*i**2 - 2 - 2*i + 1/8*i**4. Find c such that s(c) = 0.
1, 2
Factor 0 + 1/12*u**2 + 0*u.
u**2/12
Let a(u) = -u**3 - 3*u**2. Let l be a(-3). Suppose -2*g + q = -29, 5*g - 4*q - 43 - 31 = l. Factor 4*w + 7 + g*w**2 + 1 + 28*w.
2*(w + 2)*(7*w + 2)
Suppose 4 + 20 = -3*q. Let y = -8 - q. Factor 2/3*d**2 + 0 + y*d.
2*d**2/3
Factor -o - 10*o**3 - 10*o - 4*o + 0*o**3 + o**5 + 4 + 20*o**2.
(o - 1)**4*(o + 4)
Let n(r) be the third derivative of -r**