d derivative of y**7/2940 + y**6/420 + y**5/140 + y**4/84 + y**3/2 + y**2. Let n(u) be the first derivative of b(u). What is x in n(x) = 0?
-1
Let y = -12/17 - -497/680. Let p(q) be the second derivative of -1/8*q**4 + 0 + q**2 + 0*q**3 + q - y*q**5. Factor p(g).
-(g - 1)*(g + 2)**2/2
Let m be (-10)/(-4)*(-11)/(275/(-20)). Let -1/5*z + 4/5*z**4 - 1/5*z**5 + 4/5*z**m - 6/5*z**3 + 0 = 0. What is z?
0, 1
Let c(a) be the second derivative of a**4/4 - 2*a**3/3 - a. Let g(n) = 7*n**2 - 9*n. Let y be 9 + (4 + -1 - 3). Let t(b) = y*c(b) - 4*g(b). Solve t(p) = 0.
0
Let p be (-3)/(-9)*1*12. Suppose 6 = 5*w + 2*d, p*d - 2 - 10 = 2*w. Factor 2/5*l**2 + w + 2/5*l - 2/5*l**3 - 2/5*l**4.
-2*l*(l - 1)*(l + 1)**2/5
Factor 0 - 4/19*w**2 + 2/19*w**3 + 2/19*w.
2*w*(w - 1)**2/19
Factor 10 - 132*v**3 - 2 + 36*v**4 + 78*v**2 - 60*v + 0 + 70*v**2.
4*(v - 2)*(v - 1)*(3*v - 1)**2
Let y(v) be the third derivative of v**5/630 - v**4/36 - 29*v**2. Factor y(u).
2*u*(u - 7)/21
Let r(f) be the second derivative of -f**6/15 + f**5/5 - f**4/6 + 56*f. Solve r(c) = 0.
0, 1
Let t(z) = -z**3 - z**2 + z + 1. Let b(f) = 5*f**3 + 36*f**2 - 306*f + 994. Let x(s) = b(s) + 6*t(s). Suppose x(l) = 0. Calculate l.
10
Let y(b) be the second derivative of -1/4*b**2 - 1/20*b**5 - 5*b + 1/20*b**6 + 0 + 1/4*b**3 - 1/12*b**4 - 1/84*b**7. Let y(a) = 0. What is a?
-1, 1
Let c(t) = 7*t**2 - 3*t - 4. Let v(a) = 11 + 4*a**2 + a**2 + 8*a - 8*a**2 - 17*a**2. Let b(g) = 17*c(g) + 6*v(g). Suppose b(l) = 0. What is l?
-2, -1
Let q(g) be the second derivative of -1/3*g**4 + 2*g - 5/6*g**3 - 1/20*g**5 + 0 - g**2. Let q(l) = 0. Calculate l.
-2, -1
Let g(i) be the second derivative of i**5/60 + i**4/12 + i**3/9 + 33*i. What is w in g(w) = 0?
-2, -1, 0
Let i be (0/29)/(-1*(2 + 0)). Suppose 0*j**3 + 0*j**2 + 0*j + i - 1/4*j**5 + 0*j**4 = 0. What is j?
0
Suppose 8*q**4 + 52*q**3 + 20*q + 11*q + 635*q**2 - 11*q - 571*q**2 = 0. Calculate q.
-5, -1, -1/2, 0
Let d = -2/333 + 676/1665. Find f, given that 2/5*f**3 + 2/5*f**2 + 0 - 2/5*f**4 - d*f = 0.
-1, 0, 1
Let r = 3 - 6. Let i = -1 - r. What is m in -14 + 4*m**3 - i*m + 14 - 2*m**5 = 0?
-1, 0, 1
Suppose 0*b + 0*b**3 + 0 + 2/9*b**2 - 2/9*b**4 = 0. What is b?
-1, 0, 1
Let f(r) be the third derivative of -r**8/2184 + r**7/455 - 2*r**5/195 - 21*r**2. Factor f(b).
-2*b**2*(b - 2)**2*(b + 1)/13
Let z(t) = -4*t - 2. Let o be z(-2). Let v be (-63)/(-14)*4/o. Suppose 1/3*m + 3*m**v + 7/3*m**4 + 0 + 5/3*m**2 + 2/3*m**5 = 0. Calculate m.
-1, -1/2, 0
Let u(j) be the first derivative of -1/6*j**3 - 4 + 1/2*j + 0*j**2. Factor u(f).
-(f - 1)*(f + 1)/2
Let i = -6 + 6. Suppose i = -v - 0*v. Find c such that v + 2/7*c + 2/7*c**2 = 0.
-1, 0
Let -6/11*g + 2/11*g**3 - 4/11 + 0*g**2 = 0. Calculate g.
-1, 2
Let d(u) = -u**2 + u + 12. Let w be d(4). Let q(b) be the third derivative of -4*b**2 + 4/21*b**3 + 0*b - 1/420*b**6 + w - 1/70*b**5 + 0*b**4. Factor q(v).
-2*(v - 1)*(v + 2)**2/7
Let m(h) be the second derivative of -5*h**7/42 + 3*h**5/4 + 5*h**4/6 - 35*h. Find b such that m(b) = 0.
-1, 0, 2
Let r(j) = -2*j**2 - 6*j - 6. Let s(z) = -4*z**2 - 11*z - 11. Let t(k) = -5*r(k) + 2*s(k). Factor t(g).
2*(g + 2)**2
Factor 11*x - 5*x**2 + 2*x**2 - 8*x.
-3*x*(x - 1)
Let q(d) be the third derivative of 2*d**5/15 + 5*d**4/12 + d**3/3 - 7*d**2. Factor q(g).
2*(g + 1)*(4*g + 1)
Let x be (-2)/(-7) + 12/(-42). Let k(d) be the third derivative of -1/180*d**5 + 1/72*d**4 + 0*d**3 + 0 + 2*d**2 + x*d. Suppose k(f) = 0. What is f?
0, 1
Suppose -4 = -0*d - d. Suppose -2*q + 12 = d*l - q, l - 3 = -5*q. Factor 0*o**2 + 0 + 1/4*o**l - 1/4*o.
o*(o - 1)*(o + 1)/4
Let y(s) be the second derivative of 0*s**2 + 0*s**3 + 0*s**4 + 0 - 1/90*s**5 - 1/135*s**6 + 4*s. Find v such that y(v) = 0.
-1, 0
Suppose -5*v + 5*n - n = -11, 2*v - 8 = -2*n. Determine f, given that 0*f**2 + 0*f + 1/3*f**v - 1/3*f**4 + 0 = 0.
0, 1
Let f = 329/222 - -2/111. Find a such that -3/2*a - 3 + f*a**2 = 0.
-1, 2
Let t(l) be the third derivative of -l**7/455 - 4*l**6/195 - l**5/26 + l**4/26 + 8*l**3/39 - 2*l**2. Suppose t(g) = 0. Calculate g.
-4, -1, 2/3
Let k(x) be the second derivative of 0 - 3/2*x**2 - 3/5*x**5 + 4*x - 1/10*x**6 - 2*x**3 - 3/2*x**4. Determine q so that k(q) = 0.
-1
Let d(k) = 2*k**2 - 7*k - 16. Let j = -18 + 13. Let h(g) = -g**2 + 5*g + 11. Let u(c) = j*d(c) - 7*h(c). Factor u(s).
-3*(s - 1)*(s + 1)
Let r(b) be the third derivative of -b**7/630 + b**6/180 + b**5/60 - 5*b**2. Let r(g) = 0. Calculate g.
-1, 0, 3
Let d(n) be the second derivative of -1/105*n**7 + 2/75*n**6 - 3*n + 0*n**5 + 0*n**2 - 1/15*n**4 + 1/15*n**3 + 0. Factor d(s).
-2*s*(s - 1)**3*(s + 1)/5
Let j(o) be the second derivative of 4*o - 1/2*o**3 - 1/4*o**4 + 0 + 0*o**2 + 1/10*o**6 + 3/20*o**5. Find z, given that j(z) = 0.
-1, 0, 1
Factor -2*i + 10*i - 7*i + 4*i**2.
i*(4*i + 1)
Let i(s) be the third derivative of s**5/15 - 20*s**4/3 + 800*s**3/3 + 3*s**2 - 2. Factor i(y).
4*(y - 20)**2
Let d be (3 - 1) + 1 - 5. Let q be (2 + d - 3) + 6. What is n in -2*n**2 - 3*n**2 + 0*n**2 - 4*n**4 + 6*n**3 + q*n**2 = 0?
0, 1/2, 1
Let -30*s + 3*s**2 + 10 + 6*s + 2*s**2 + 9*s = 0. Calculate s.
1, 2
Let l(y) be the second derivative of -y**4/12 + y**3/3 - 5*y**2/2 + 3*y. Let p(t) = -t**2 + 3*t - 6. Let u(j) = 5*l(j) - 4*p(j). Suppose u(n) = 0. Calculate n.
-1
Let u(s) be the third derivative of -s**6/120 + s**5/30 + s**4/8 + 45*s**2. Factor u(p).
-p*(p - 3)*(p + 1)
Let o be (-3 + (-58)/(-24))*(-2)/42. Let g(l) be the second derivative of 1/6*l**2 + 0 + l - o*l**4 + 0*l**3. Factor g(j).
-(j - 1)*(j + 1)/3
Let t(g) be the first derivative of g**4/4 - 23*g**3/3 + 143*g**2/2 - 121*g + 55. Solve t(y) = 0.
1, 11
Let q(s) = s**2 - 5*s - 2. Let y be q(6). Suppose -5*f = 3*u - 20, f - 2 = y*u + 2. Factor u*a - 2*a**3 + 4*a + 2*a**2 - 4*a**2.
-2*a*(a - 1)*(a + 2)
Let u = -1/191 + 387/955. Suppose 0 + u*s + 6/5*s**2 = 0. Calculate s.
-1/3, 0
Factor -3/4*o**3 + 0 + 0*o + 1/4*o**2 + 3/4*o**4 - 1/4*o**5.
-o**2*(o - 1)**3/4
Suppose -4*s + 20 = -3*b + 6, 4*b + 6 = -s. Factor -2/3*h**s - 2/3*h + 0.
-2*h*(h + 1)/3
Let d(w) = 16*w**4 - 4*w**3 - 2*w**2 + 18*w. Let g = -68 - -40. Let f(q) = q**4 + q. Let l(j) = g*f(j) + 2*d(j). Factor l(y).
4*y*(y - 2)*(y - 1)*(y + 1)
Let j = 72 + -72. Let d(f) be the second derivative of 1/12*f**4 + j*f**3 + 3*f + 0 - 1/60*f**5 - 2/3*f**2. Factor d(n).
-(n - 2)**2*(n + 1)/3
Suppose -2*j = q - 6*q, 0 = 3*j + q. Let z(s) be the first derivative of j*s - 2/9*s**3 + 1/12*s**4 - 1/6*s**2 - 3 + 2/15*s**5. Find u such that z(u) = 0.
-1, -1/2, 0, 1
Let u(q) = 9*q**4 - 15*q**3 + 17*q**2 - 11*q + 13. Let d(i) = -4*i**4 + 7*i**3 - 8*i**2 + 5*i - 6. Let t(f) = 13*d(f) + 6*u(f). Let t(y) = 0. What is y?
-1, -1/2, 0, 1
Let z(w) = -48*w**2 + 40*w - 8. Suppose 3*q - 6*q = -6. Let i(d) = -95*d**2 + 80*d - 16. Let g(b) = q*i(b) - 5*z(b). Factor g(k).
2*(5*k - 2)**2
Let k = -83/3 - -335/12. Solve 0*u + k*u**4 + 1/4 - 1/2*u**2 + 0*u**3 = 0.
-1, 1
Suppose b = o + 5, -3*b = -3*o + 7*o + 6. Suppose 22 = 4*p + b*c, 3*p + 0*p - 2*c + 1 = 0. Factor -13*x**2 - 8*x**3 + 2*x**p - 2*x**4 + 11*x**4 + 14*x**2.
x**2*(3*x - 1)**2
Let h(v) be the second derivative of -3*v**6/40 + 9*v**5/80 - v**4/24 + 3*v. Factor h(j).
-j**2*(3*j - 2)*(3*j - 1)/4
Suppose 2*f - 3 = f. Let -5*k + f - 3*k + 3 + 4*k**2 - 2*k**2 = 0. Calculate k.
1, 3
Let g be 14/21 - 8/(-6). Let f(u) be the second derivative of -u - 1/15*u**3 + 1/60*u**4 + 1/10*u**g + 0. Factor f(v).
(v - 1)**2/5
Let u(m) be the second derivative of m**7/225 + m**6/180 - m**5/225 + 3*m**2 + 6*m. Let s(p) be the first derivative of u(p). Suppose s(b) = 0. Calculate b.
-1, 0, 2/7
Let p(j) be the third derivative of -j**8/1008 + j**7/210 - j**6/120 + j**5/180 + 12*j**2. Factor p(y).
-y**2*(y - 1)**3/3
Let i(g) = 4*g**2 + 6*g - 10. Let s(v) = -3*v**2 - 4*v + 7. Let f(o) = -5*i(o) - 7*s(o). Factor f(l).
(l - 1)**2
Let y(d) be the first derivative of d**6/21 - 4*d**5/35 + 4*d**3/21 - d**2/7 + 4. Factor y(w).
2*w*(w - 1)**3*(w + 1)/7
Let j = 36 + -647/18. Let b(s) be the first derivative of 4 + 2/27*s**3 - 1/9*s**2 - 2/45*s**5 + j*s**4 + 0*s. Factor b(q).
-2*q*(q - 1)**2*(q + 1)/9
Let r = -8 + 14. Let u(l) be the first derivative of -1 + 0*l - 6/25*l**5 - 1/10*l**4 + 2/5*l**2 - 1/15*l**r + 2/5*l**3. Let u(m) = 0. What is m?
-2, -1, 0, 1
Suppose 377*p =