econd derivative of j + 1/48*j**4 + 0 - l*j**3 - 1/4*j**2. Factor r(p).
(p - 2)*(p + 1)/4
Let g = -81 - -83. Suppose 2/3 - h**g + 5/3*h = 0. Calculate h.
-1/3, 2
Suppose -2*s - 3*v + 15 = 0, 4*s = -3*v - 0*v + 21. Determine w so that 0 + 0*w**2 + 0*w + 0*w**s - 1/3*w**4 + 1/3*w**5 = 0.
0, 1
Factor 6*k + k + 60 + k - 4*k**2.
-4*(k - 5)*(k + 3)
Suppose -5*o + 168 = -9*o. Let w be (o/35)/(18/(-20)). Factor 2/3*y**2 + 2/3 + w*y.
2*(y + 1)**2/3
Factor -12*d**2 - 7*d**4 + 4*d**4 + 7*d**4 + 3*d**3 + 5*d**3.
4*d**2*(d - 1)*(d + 3)
Let i be 3 + (22/(-1) - -1). Let a be i/(-6) + 2*1. Factor -2/5*k**a + 0*k + 4/5*k**4 + 0 + 0*k**2 - 2/5*k**3.
-2*k**3*(k - 1)**2/5
Find a, given that -12*a**3 + a**2 - 9*a**2 + 0*a**4 - 4*a**4 = 0.
-2, -1, 0
Let z(c) be the third derivative of c**5/300 - 7*c**4/120 - 7*c**2. What is n in z(n) = 0?
0, 7
Let r be (-2)/8 + (-54)/(-24). Let t = -3 - -6. Factor c**3 - 3*c**3 + c**r - t*c**2.
-2*c**2*(c + 1)
Suppose -9 = -c - 2*c. Factor -6*q**c - 3*q**4 + 6*q + 5 - 2 + 0*q.
-3*(q - 1)*(q + 1)**3
Let f be (-8)/(-10)*175/10. Suppose p - 3*b - f = -6*b, 4 = b. Find c, given that -1/5*c**p - 1/5 + 2/5*c = 0.
1
Let o(k) be the third derivative of -k**7/1400 - k**6/600 + k**5/100 - 2*k**3/3 + k**2. Let n(b) be the first derivative of o(b). Factor n(j).
-3*j*(j - 1)*(j + 2)/5
Let o be 4*-4*2/(-16). Let v = 1 - 0. Factor -2*j**2 + 3*j**o - v + 0.
(j - 1)*(j + 1)
Suppose -2*n = -3*n. Suppose y = -n*y + 3. Factor 2*h**y + 2*h**2 - 7*h + 7*h - 2*h**5 + 0*h**4 - 2*h**4.
-2*h**2*(h - 1)*(h + 1)**2
Factor 4 + 2 + 4 - 10*p**4 - 32*p - 14*p**3 + 6*p**5 - 2 + 42*p**2.
2*(p - 1)**3*(p + 2)*(3*p - 2)
Let i = 100 + -100. Let s(v) be the first derivative of 3/16*v**4 - 1/4*v**3 + i*v + 1/8*v**2 + 3 - 1/20*v**5. Factor s(c).
-c*(c - 1)**3/4
Let m(d) be the first derivative of 0*d**2 + 6 - 1/15*d**5 + 1/12*d**4 + 0*d**3 + 0*d. Find n such that m(n) = 0.
0, 1
Let g(u) be the third derivative of -u**10/378000 - u**9/151200 + u**5/60 + 5*u**2. Let a(d) be the third derivative of g(d). Factor a(p).
-2*p**3*(p + 1)/5
Suppose -2*a = 5 + 7. Let y = a + 9. Let y*p**2 - 3*p - p**2 + p = 0. What is p?
0, 1
Let r(a) be the first derivative of -14*a**6/15 + 22*a**5/25 + a**4/2 - 4*a**3/15 - 19. Suppose r(o) = 0. What is o?
-1/2, 0, 2/7, 1
Let x(r) be the second derivative of r**9/3780 - r**8/448 + r**7/210 + r**6/180 - r**4/6 - r. Let g(u) be the third derivative of x(u). Solve g(c) = 0 for c.
-1/4, 0, 2
Let v = -2 + 0. Let b be v/6 - (-19)/12. Determine j so that -1/4 + j - b*j**2 + 1/2*j**3 = 0.
1/2, 1
Let k(g) be the third derivative of -g**6/840 - g**5/70 - g**4/14 - 5*g**3/3 - 4*g**2. Let z(x) be the first derivative of k(x). Factor z(s).
-3*(s + 2)**2/7
Let h(c) be the first derivative of -2*c**3/3 - 3*c**2 + 2. Let a(b) = 4*b**2 + 13*b. Let s(k) = 4*a(k) + 9*h(k). What is n in s(n) = 0?
-1, 0
Let b(v) = -v**3 - 4*v**2 + v. Let k(u) be the third derivative of -u**6/120 - u**5/15 + 3*u**2. Let c(j) = -4*b(j) + 5*k(j). Factor c(x).
-x*(x + 2)**2
Let m(p) = p**3 - p**2 - p + 2. Let y be m(0). Find f such that f**3 + 3*f**y + f**2 - 2*f**2 + f = 0.
-1, 0
Let c be (-6)/(-4)*8/6. Let o(r) be the second derivative of -1/105*r**6 - r + 0 + 1/35*r**5 + 0*r**3 - 1/42*r**4 + 0*r**c. Factor o(q).
-2*q**2*(q - 1)**2/7
Let j(k) = -40*k**4 + 40*k**3 - 10*k**2 + 7*k + 7. Let b(v) = -20*v**4 + 20*v**3 - 5*v**2 + 3*v + 3. Let z(q) = -7*b(q) + 3*j(q). Factor z(w).
5*w**2*(2*w - 1)**2
Let y(b) be the third derivative of -b**6/60 - b**5/30 + 15*b**2. Factor y(q).
-2*q**2*(q + 1)
Factor -2/5*g**3 + 0*g + 0 + 4/5*g**2.
-2*g**2*(g - 2)/5
Let a(i) = 32*i**4 - 48*i**3 + 15*i**2 + 11*i + 5. Let s(z) = 31*z**4 - 48*z**3 + 15*z**2 + 10*z + 4. Let u(o) = 4*a(o) - 5*s(o). Factor u(y).
-3*y*(y - 1)**2*(9*y + 2)
Suppose 0 = -p + 3*p - 6. Let m(a) be the first derivative of 2 - 2*a - 5/3*a**p - 7/2*a**2. Suppose m(c) = 0. Calculate c.
-1, -2/5
Let v(m) be the second derivative of 1/60*m**4 + 1/5*m**2 + 4*m - 1/10*m**3 + 0. Suppose v(c) = 0. Calculate c.
1, 2
Let k(m) = -3*m**2 + 21*m + 3. Let q(s) = -2 - 5*s + 0 + s**2 - 6*s + 0. Let y(d) = 4*k(d) + 7*q(d). Let y(b) = 0. What is b?
2/5, 1
Let y(x) = 4*x**3 - 8*x**2 - 8*x. Let l(u) = -u**3 + 3*u**2 + 3*u. Let v(p) = 8*l(p) + 3*y(p). Suppose v(c) = 0. What is c?
0
Let a(z) be the second derivative of z**6/45 + z**5/6 + 7*z**4/18 + z**3/3 + 4*z + 2. Factor a(o).
2*o*(o + 1)**2*(o + 3)/3
Let i be 0 - -2 - (-80)/(-42). Let p(a) be the third derivative of 2*a**2 + 1/210*a**5 + 0*a + i*a**3 + 0 + 1/28*a**4. Factor p(c).
2*(c + 1)*(c + 2)/7
Suppose -61*s**2 - 2 + 66*s**2 - 2 - 1 = 0. What is s?
-1, 1
Let x be (2 - (1 - 1)) + 0. Suppose 4*t + 5*o = 21 + 7, -x*o + 8 = 0. Factor -z**2 - 3*z**2 + t*z**2.
-2*z**2
Solve 0 - 5/3*o**4 + 6*o**3 - 19/3*o**2 + 2*o = 0.
0, 3/5, 1, 2
Solve b**3 + 11 + 0*b**3 - 11 - b = 0 for b.
-1, 0, 1
Let b(v) be the third derivative of v**7/35 - 3*v**6/80 - v**5/40 + 11*v**2. Factor b(o).
3*o**2*(o - 1)*(4*o + 1)/2
Let r(n) be the third derivative of n**5/60 + n**4/6 - 5*n**3/6 + 46*n**2. Factor r(o).
(o - 1)*(o + 5)
Let q(a) be the third derivative of a**8/2520 - 2*a**7/1575 - a**6/450 + 2*a**5/225 + a**4/180 - 2*a**3/45 + 13*a**2. What is t in q(t) = 0?
-1, 1, 2
Solve 8 + 2/3*y**5 + 32/3*y + 2/3*y**4 - 10/3*y**2 - 6*y**3 = 0.
-3, -1, 2
Suppose -r - 2*r = -6. Factor -2*h**r + 5*h**2 - 10*h + 10*h.
3*h**2
Let -2/5*p + 1/10*p**2 + 0 = 0. Calculate p.
0, 4
Factor -2/3*j + 2/3*j**2 - 2/9*j**3 + 2/9.
-2*(j - 1)**3/9
Let u(a) = a**4 + a. Let d(k) = -3*k**5 + 3*k**4 + 6*k**2 + 12*k. Let h(o) = d(o) - 9*u(o). Factor h(m).
-3*m*(m - 1)*(m + 1)**3
Let n(j) = 6*j**3 + 6*j**2 + 2*j - 2. Let w = -3 + 6. Let x(y) = 6*y**2 + 4*y - 1 + 0*y + 5*y**3 - y. Let s(g) = w*n(g) - 4*x(g). Factor s(t).
-2*(t + 1)**3
Let h(k) = 294*k**5 - 24*k**3 + 16*k - 16. Let x(r) = -98*r**5 + 8*r**3 - 5*r + 5. Let o(a) = 5*h(a) + 16*x(a). Determine p, given that o(p) = 0.
-2/7, 0, 2/7
Let d(p) be the first derivative of -p**5/50 + p**3/15 + 2*p + 1. Let o(v) be the first derivative of d(v). Determine u so that o(u) = 0.
-1, 0, 1
Solve 0*y + 6/7*y**2 - 8/7 + 2/7*y**3 = 0.
-2, 1
Let z(j) = -j + 3. Let s be z(0). Factor 3*f**2 - f**3 + 2*f**3 + 0*f**3 + 0*f**s - 4.
(f - 1)*(f + 2)**2
Let r be 1*(5/10)/(18/16). Factor -2/9*h**2 + 0 + r*h.
-2*h*(h - 2)/9
Factor 128*o**2 - 15*o**3 + 167 + 33 + 3*o**3 - 380*o.
-4*(o - 5)**2*(3*o - 2)
Let g(k) = k**3 + 12*k**2 + 11*k + 1. Let p be g(-11). Let c be -6*p*(-24)/72. Factor -8/11*n - 6/11*n**c + 8/11.
-2*(n + 2)*(3*n - 2)/11
Let q be (-7)/(-7)*6/33. Find w, given that -2/11*w**2 - 4/11*w - q = 0.
-1
Determine x, given that -50 + 26 + 28*x**3 + 2*x - 13*x**4 - 17*x**2 + 24 = 0.
0, 2/13, 1
Let q be 1 + 0 + ((-244)/(-60) - 5). Let f(a) be the second derivative of 0*a**4 + q*a**3 + a + 0*a**2 + 0 - 1/50*a**5. Factor f(d).
-2*d*(d - 1)*(d + 1)/5
Let w = -1295/12 - -108. Let u(j) be the second derivative of 1/2*j**2 + 1/20*j**5 - 1/6*j**3 + 0 - j - w*j**4. Solve u(b) = 0.
-1, 1
Let c(l) = l**2 - 5*l. Let r be c(5). Let v(i) be the first derivative of -2 + r*i + 1/12*i**3 + 0*i**2. What is p in v(p) = 0?
0
Let h = -2 + 4. Find b such that 3*b**5 - b**5 - h*b + 3*b**2 + b**2 - 4*b**4 = 0.
-1, 0, 1
Let i = -844 + 846. Suppose 1/3*m**i + 0*m + 0 = 0. Calculate m.
0
Let x = 86/5 - 167/10. Let d(a) be the first derivative of -2 - x*a**2 + 1/9*a**3 + 2/3*a. Determine c, given that d(c) = 0.
1, 2
Suppose 0 = 10*r - 3*r. Find k, given that r - 1/4*k - 1/4*k**2 = 0.
-1, 0
Factor -2/5*c**2 + 0 + 0*c - 2/5*c**3.
-2*c**2*(c + 1)/5
Let -6*l**4 + 3*l**3 + 0 - 4 + 6*l + 9*l**2 - 9*l + 1 = 0. What is l?
-1, -1/2, 1
Let a(t) = t + 1. Let s(m) = -5*m**2 + 14*m - 1. Let o(j) = -a(j) - s(j). Factor o(y).
5*y*(y - 3)
Let k be 1/(-2 - 19/(-9)). Let j = 6 + k. Determine u, given that -j*u**3 + 5*u**3 - 3*u - 17*u**3 + 18*u**2 + 12*u**4 = 0.
0, 1/4, 1
Let z be (-16)/(-48)*18/4. Solve -z*p**2 + 0*p + 1/2*p**3 + 2 = 0 for p.
-1, 2
Let n(g) be the second derivative of g**4/6 - 8*g**3/3 + 16*g**2 - 4*g. Suppose n(t) = 0. Calculate t.
4
Suppose -11*u + 18*u = 0. Let a(s) be the third derivative of 0*s + s**2 + u*s**3 - 1/420*s**7 - 1/48*s**4 + 1/120*s**5 + 1/240*s**6 + 0. Factor a(f).
-f*(f - 1)**2*(f + 1)/2
Let r(h) be the second derivative of -h**7/56 