7*a**3 + 0*a + 0 + 8/7*a**2 = 0?
-4, 0
Let l(g) be the third derivative of -g**2 + 2/7*g**7 + 0*g - 9/2*g**4 - 51/40*g**6 + 0 - 3/112*g**8 + 31/10*g**5 + 4*g**3. Let l(t) = 0. Calculate t.
2/3, 1, 2
Let a = -13 - -15. Let u(h) be the first derivative of 0*h**a + 0*h + 2/3*h**3 - 2. Determine v so that u(v) = 0.
0
Suppose -o = 3*o. Factor -4*h**3 + h + 1 + 3*h + o*h**3 - 3 + 2*h**4.
2*(h - 1)**3*(h + 1)
Let s(p) = -p**3 - 7*p**2 - 6*p + 2. Let u be s(-6). Suppose 2*t = -t + 4*g - u, 5*g - 10 = 0. Factor 6*a**3 + 4*a**2 + a - a - t*a.
2*a*(a + 1)*(3*a - 1)
Let i(j) be the first derivative of -1/21*j**3 + 1/7*j**2 + 1/70*j**5 - 2 + 2*j - 1/42*j**4. Let q(u) be the first derivative of i(u). Factor q(w).
2*(w - 1)**2*(w + 1)/7
Suppose -2*l + 26 = -4*u, -5*u - 37 = -5*l + 8. Factor -w**2 + 3*w**2 + 2*w**3 + l*w**2 - w**2.
2*w**2*(w + 3)
Let x be 0*(6 - 4)/4. Let b(c) be the first derivative of -1/4*c**4 + 2/3*c**3 - 2 + 0*c**2 + x*c. Factor b(o).
-o**2*(o - 2)
Let z(b) be the first derivative of 5 - 1/4*b**2 - 1/6*b**3 + 0*b. Factor z(m).
-m*(m + 1)/2
Let y(u) = -u**3 - 6*u**2 + 6*u - 5. Let q be y(-7). Let -7*k**q - 3*k**2 + 8*k**2 = 0. What is k?
0
Let o(w) be the third derivative of w**4/24 + 7*w**3/6 - w**2. Let u be o(-5). Let -l**2 + 3*l**u + 0*l**2 = 0. Calculate l.
0
Factor 12/5 - 4/5*y**2 + 8/5*y.
-4*(y - 3)*(y + 1)/5
Suppose -5*q - 4*b + 6 = -8, 3*b = q + 1. Suppose -q*d - 1 + 5 = 0. Find x, given that -1 + x**3 - 3*x + d*x + 1 = 0.
-1, 0, 1
Let c(k) be the third derivative of -k**5/30 - k**4/4 + 4*k**3/3 - 11*k**2. Factor c(p).
-2*(p - 1)*(p + 4)
Let u(a) = -14*a**4 - 16*a**3 + 18*a**2 + 10*a + 2. Let i(c) = c**3 - 1. Let b(t) = -6*i(t) - u(t). Find d such that b(d) = 0.
-1, 2/7, 1
Let x(i) be the third derivative of -i**8/2352 + i**7/490 - i**5/105 + 20*i**2. Factor x(r).
-r**2*(r - 2)**2*(r + 1)/7
Let v(u) = u + 1. Let y(p) = -2*p**2 - 14*p - 12. Let x(n) = 10*v(n) + y(n). What is h in x(h) = 0?
-1
Let z(x) be the third derivative of -x**5/12 - 5*x**4/24 + 5*x**3/3 - x**2. Find t such that z(t) = 0.
-2, 1
Let c(v) be the first derivative of -v**6/600 + v**2 - 2. Let a(w) be the second derivative of c(w). Factor a(p).
-p**3/5
Let v = 603 + -1203/2. Factor 3*y**2 - 3 - v*y**3 + 3/2*y.
-3*(y - 2)*(y - 1)*(y + 1)/2
Let t(v) be the first derivative of -v**5/15 + v**4/6 + v**3/3 - 4*v**2/3 + 4*v/3 + 20. Factor t(o).
-(o - 2)*(o - 1)**2*(o + 2)/3
Let p(q) be the third derivative of -q**5/60 + q**4/8 + 2*q**3/3 + 24*q**2. Factor p(k).
-(k - 4)*(k + 1)
Let x be (11 - -1)/4 + 1 + -3. Factor -1/4*l**2 - x - l.
-(l + 2)**2/4
Let i(s) be the second derivative of -s**6/30 + 3*s**5/20 + 4*s**4/3 + 2*s**3 - 55*s. Find a, given that i(a) = 0.
-2, -1, 0, 6
Let w = -4037/6 + 674. Solve 2/3*h**3 + 2/3*h**4 + 0 - w*h**2 + 1/3*h = 0.
-2, 0, 1/2
Let j be -1 - ((-3)/(-3) - 2). Suppose -u + 2*u - 3 = j. Let 6*d**2 + d**3 + d**4 - 2*d**3 + 1 - 3*d**u - 4*d = 0. What is d?
1
Let z(g) be the second derivative of g**7/1470 + g**6/630 - g**5/210 - g**4/42 - 5*g**3/6 + 5*g. Let r(j) be the second derivative of z(j). Factor r(u).
4*(u - 1)*(u + 1)**2/7
Let a(f) be the second derivative of -f**6/900 - f**5/300 - f**3/2 + 10*f. Let m(q) be the second derivative of a(q). Factor m(w).
-2*w*(w + 1)/5
Let a(t) be the third derivative of 2*t**7/105 - 2*t**5/15 + 2*t**3/3 - 15*t**2. Factor a(j).
4*(j - 1)**2*(j + 1)**2
Let d(w) be the second derivative of -w**7/11340 + w**6/1620 - w**5/540 - w**4/4 - w. Let y(f) be the third derivative of d(f). Factor y(q).
-2*(q - 1)**2/9
Let x(c) be the first derivative of -2*c**5/65 - 4*c**4/13 - 16*c**3/13 - 32*c**2/13 - 32*c/13 + 1. Solve x(y) = 0 for y.
-2
Let w(v) be the first derivative of v**7/630 - v**6/120 + v**5/180 + v**4/24 - v**3/9 + v**2 - 8. Let a(h) be the second derivative of w(h). Solve a(p) = 0.
-1, 1, 2
Let f(k) be the second derivative of -k**7/1260 - k**6/540 + k**5/180 + k**4/36 + k**3/3 - k. Let h(b) be the second derivative of f(b). Factor h(p).
-2*(p - 1)*(p + 1)**2/3
Let h(d) = 29*d**3 - 60*d**2 + 16*d - 4. Let r(o) = -175*o**3 + 360*o**2 - 95*o + 25. Let j(m) = -25*h(m) - 4*r(m). Solve j(l) = 0 for l.
0, 2/5, 2
Let g(h) be the second derivative of -h**5/70 - h**4/21 + h**3/21 + 2*h**2/7 + 31*h. Suppose g(c) = 0. What is c?
-2, -1, 1
Let i = -18 - -28. Suppose 10 = 5*m + 2*s - 10, -8 = -2*m - s. Factor -2*x**2 + 7*x**5 + i*x**4 + 3*x**3 - 2*x**4 + 4*x**m.
x**2*(x + 1)**2*(7*x - 2)
Factor -3 + 10*r - 43*r**2 + 2*r**3 + 35*r**2 - 1.
2*(r - 2)*(r - 1)**2
Let m(x) be the third derivative of x**7/140 - 7*x**6/360 + x**4/24 - x**3/2 - 3*x**2. Let j(o) be the first derivative of m(o). Factor j(b).
(b - 1)*(2*b - 1)*(3*b + 1)
Determine c, given that 7*c**2 - 16*c**2 - 4*c + 7*c**2 = 0.
-2, 0
Let x(j) be the first derivative of -j**2/2 + j - 1. Let m = 15 - 14. Let f(g) = -4*g**2 + g + 1. Let v(u) = m*x(u) - f(u). Factor v(r).
2*r*(2*r - 1)
Let s(c) be the third derivative of c**7/42 + c**6/24 - c**5/12 - 5*c**4/24 - c**2. Determine h, given that s(h) = 0.
-1, 0, 1
Let h(f) be the third derivative of f**8/1344 + f**7/21 + 101*f**6/96 + 161*f**5/24 - 1225*f**4/24 + 343*f**3/3 + 27*f**2 + 2. Find a such that h(a) = 0.
-14, 1
Let p(f) be the third derivative of 4*f**2 + 1/60*f**5 + 0*f**3 + 0*f + 0*f**4 - 3/80*f**6 + 0. Find n such that p(n) = 0.
0, 2/9
Let 2*k**2 + 19*k**3 + 209*k**4 - 345*k**4 + 23*k**3 - 4*k**2 = 0. What is k?
0, 1/17, 1/4
Let p(y) be the second derivative of y**5/20 + 5*y**4/36 - 2*y**3/9 - 2*y**2/3 + 22*y. Factor p(d).
(d - 1)*(d + 2)*(3*d + 2)/3
Suppose -3*c = -0*c - 9. Suppose 7*p - c*p = 2912. Find o, given that -88*o**5 - p*o**4 - 398*o**2 - 66*o - 157*o**5 - 26*o - 797*o**3 - 8 = 0.
-1, -2/5, -2/7
Let m = -7 + 6. Let c be 3 - ((-3 - -3) + m). Factor -25*x + 13*x + 32*x**3 + 14*x**c - 32 - 20*x + 2*x**5 + 16*x**2.
2*(x - 1)*(x + 2)**4
Let r(l) be the third derivative of 0 + l**2 - 1/120*l**5 + 0*l - 1/16*l**4 - 1/6*l**3. Factor r(w).
-(w + 1)*(w + 2)/2
Let h(n) = 1. Let g(a) = -9*a**4 + 6*a**3 + 8*a**2 - 6*a - 6. Let k(y) = -2*g(y) - 14*h(y). Determine m so that k(m) = 0.
-1, 1/3, 1
Let p(z) be the second derivative of 3*z**6/10 + 33*z**5/20 - z**4 + 31*z. Factor p(l).
3*l**2*(l + 4)*(3*l - 1)
Let u(b) = -9*b**3 - 3*b**2 + 3*b - 9. Let c(g) = -26*g**3 - 8*g**2 + 9*g - 26. Let p(m) = -6*c(m) + 17*u(m). Suppose p(a) = 0. What is a?
-1, 1
Let z be 0/2 - (1 - 3). Factor -z*r - 9*r + 2*r + 0*r - 30*r**2 - 25*r**3.
-r*(5*r + 3)**2
Solve 0 + 0*q**2 - 1/2*q + 1/2*q**3 = 0 for q.
-1, 0, 1
Let m(i) = -i**2 - 6*i - 16. Let n be m(-8). Let q = n + 32. Suppose 2/9*v**2 + q*v + 0 = 0. What is v?
0
Let s(a) = -a**3 + 12*a**2 + 12*a + 11. Let z be s(13). Let k be (-8)/(-18) - z/9. Factor 2/3*h**3 - 2/3*h**5 + 2/3*h**2 - k*h**4 + 0 + 0*h.
-2*h**2*(h - 1)*(h + 1)**2/3
Let q(d) be the third derivative of -1/4*d**4 - 3/2*d**3 - 1/60*d**5 + 0*d + 0 - 2*d**2. Factor q(p).
-(p + 3)**2
Let m(u) be the third derivative of 1/12*u**3 + 0 + u**2 + 1/120*u**5 + 1/24*u**4 + 0*u. Factor m(c).
(c + 1)**2/2
Let k(m) = 20*m**4 - 5*m**2 + 5*m + 5. Let o(b) = -19*b**4 - b**3 + 6*b**2 - 4*b - 4. Let n(r) = 4*k(r) + 5*o(r). Determine w, given that n(w) = 0.
-1, 0, 2/3
Let k(h) = h**2 - 7*h - 4. Let u be k(8). Let j be 4/(-6)*9/(-12). Factor -x + 0*x**2 - j + 1/2*x**u + x**3.
(x - 1)*(x + 1)**3/2
Let d = 40676/3801 + 7/543. Let s = 11 - d. Find q such that -6/7*q**3 + 6/7*q**2 + 0 + s*q**4 - 2/7*q = 0.
0, 1
Let q(c) be the third derivative of 2*c**7/735 + c**6/70 + c**5/35 + c**4/42 - 11*c**2. What is z in q(z) = 0?
-1, 0
Let b = 5 + -8. Let l(h) = -h**2 - 5*h - 2. Let o be l(b). Determine v, given that -3*v**2 + v + 6*v**2 - 10*v**4 + 7*v**4 + o*v**5 - 5*v**3 = 0.
-1, -1/4, 0, 1
Suppose 4*u = 16 - 0. Suppose -2*k = u*d + 6, 5*d = 4*k - 5 - 22. Factor 0*m - 2/9*m**k + 2/9*m**2 + 0.
-2*m**2*(m - 1)/9
Suppose 0 = u - y - 4, 4*u + y + 4 = 2*u. Suppose 2*x - 3*x = u. Let -4/5*z**3 + 6/5*z**2 + x*z - 2/5 = 0. Calculate z.
-1/2, 1
Let r(j) be the first derivative of -j**9/1512 + j**7/210 - j**5/60 + 2*j**3 - 2. Let d(k) be the third derivative of r(k). Find b, given that d(b) = 0.
-1, 0, 1
Let x(j) be the second derivative of j**6/30 - 3*j**5/20 + j**4/12 + j**3/2 - j**2 + 6*j. Solve x(i) = 0.
-1, 1, 2
Let h(p) be the second derivative of 