**2 - 14*x + 4*x**2 - 2 + 7*x**2 + j.
2*(x - 1)*(5*x - 2)
Let w(n) be the third derivative of -n**5/240 + n**4/32 - 3*n**2. Factor w(p).
-p*(p - 3)/4
Let a be (-2)/(12/(-19)) - 3. Let y(j) be the third derivative of 0*j - 2*j**2 + 1/48*j**4 + 1/120*j**5 + 0 - a*j**3. Factor y(n).
(n - 1)*(n + 2)/2
Let i(k) = -4*k**3 + 3*k**2 + 4*k - 3. Let j(o) = -5*o**3 + 4*o**2 + 5*o - 4. Let r(g) = 6*i(g) - 4*j(g). Factor r(h).
-2*(h - 1)*(h + 1)*(2*h - 1)
Let p = -723 - -2191/3. Solve -p*z**4 + 8/9 - 106/9*z**3 - 62/9*z**2 + 0*z - 14/9*z**5 = 0 for z.
-2, -1, 2/7
Let r = -5679/278 + -10/139. Let m = r - -21. Find j, given that 1/2*j**3 + 1/2 - 1/2*j**2 - m*j = 0.
-1, 1
Let u(f) be the second derivative of -f**4/6 + 13*f**3/12 - 3*f**2/4 - 8*f. Factor u(z).
-(z - 3)*(4*z - 1)/2
Factor 6*w**4 + 4 + 2*w + 2*w**2 - 12*w**2 - 53*w**3 + 51*w**3.
2*(w - 1)**2*(w + 1)*(3*w + 2)
Let k(u) = 6*u**4 - u**3 - 10*u**2 + 7*u - 6. Let v(p) = 13*p**4 - 2*p**3 - 21*p**2 + 14*p - 13. Let t(b) = -9*k(b) + 4*v(b). Factor t(d).
-(d - 1)**2*(d + 2)*(2*d - 1)
Let y(w) be the first derivative of -2*w**3/3 + 16*w**2/7 - 8*w/7 + 16. Solve y(j) = 0.
2/7, 2
Let u(v) = v**2 + 13*v + 4. Let g be u(0). Factor 6/5*l**2 - 4/5*l - 8/5 + 1/5*l**3 - 1/5*l**g.
-(l - 2)**2*(l + 1)*(l + 2)/5
Let n(c) be the third derivative of -c**8/28 + 3*c**7/70 + 17*c**6/40 - 3*c**5/5 - c**4/2 - 5*c**2. Let n(i) = 0. Calculate i.
-2, -1/4, 0, 1, 2
Let n(i) be the third derivative of i**7/70 + i**6/180 - i**5/20 - i**4/36 - 9*i**2. Factor n(x).
x*(x - 1)*(x + 1)*(9*x + 2)/3
Let d = 2 - 2. Let s be d + 0 + -1 - -5. Factor 8*h + 9*h**4 - 6*h**3 - 24*h**s + 28*h**2 + 20*h**3.
-h*(h - 2)*(3*h + 2)*(5*h + 2)
Determine d so that -d - 4/3 + 1/3*d**2 = 0.
-1, 4
Factor 5 - 31*q**2 - 80*q - 21 + 75*q**2.
4*(q - 2)*(11*q + 2)
Let m(k) be the third derivative of k**7/1155 + k**6/165 + k**5/165 - k**4/33 - k**3/11 + 11*k**2. Find f, given that m(f) = 0.
-3, -1, 1
Let v(t) be the third derivative of -t**5/210 - t**4/84 - 4*t**2. Factor v(r).
-2*r*(r + 1)/7
Suppose -5*i = -12*i + 21. Let o(w) be the third derivative of 0 + 0*w**4 + 1/18*w**i - 3*w**2 - 1/180*w**5 + 0*w. Factor o(k).
-(k - 1)*(k + 1)/3
Let v(j) be the first derivative of -1/2*j**2 - 1/12*j**4 + 1/6*j**3 + 3 + 0*j - 1/480*j**6 + 1/48*j**5. Let p(y) be the second derivative of v(y). Factor p(t).
-(t - 2)**2*(t - 1)/4
Let o(h) be the first derivative of h**9/1512 + h**8/280 + h**7/140 + h**6/180 + 2*h**3/3 + 4. Let l(t) be the third derivative of o(t). Factor l(j).
2*j**2*(j + 1)**3
Let a(r) be the second derivative of -r**6/30 - r**5/16 - r**4/48 - 6*r. Factor a(y).
-y**2*(y + 1)*(4*y + 1)/4
Let b = 53 - 103/2. What is h in h**2 - 1/4*h**5 - b*h**3 + h**4 + 0 - 1/4*h = 0?
0, 1
Let y(w) = -4*w**3 + 2*w**2 - 2*w + 1. Let g be y(1). Let i = g + 3. Suppose i*v + 0 - 1/4*v**2 = 0. Calculate v.
0
Let -2*v**3 + 2*v**3 - 5*v**2 - 8*v - v**3 - 4 = 0. Calculate v.
-2, -1
Let f be (-3013)/(-6681) - (-2)/(-17). Factor 0*d**2 - 1/3*d**3 + f*d + 0.
-d*(d - 1)*(d + 1)/3
Let d(t) be the second derivative of -4*t**6/135 + t**5/18 - t**4/54 + 7*t. Factor d(v).
-2*v**2*(v - 1)*(4*v - 1)/9
Let y(q) = -q**2 - 5*q - 1. Let n be y(-4). Let m = n + -1. Solve -1/2*p - p**m + 1/2*p**3 + 1 = 0.
-1, 1, 2
Suppose 0 = 5*m + z - 80, 4*m + 6*z - z - 85 = 0. Suppose 4*b = -7 + m. Factor 4/7 - 6/7*c**3 - b*c + 16/7*c**2.
-2*(c - 1)**2*(3*c - 2)/7
Let x(v) be the first derivative of -v**3/7 + 6*v**2/7 - 9*v/7 + 1. Solve x(t) = 0.
1, 3
Let p(b) be the first derivative of b**6/4 + 3*b**5/10 - 9*b**4/4 - 7*b**3 - 33*b**2/4 - 9*b/2 + 2. Factor p(s).
3*(s - 3)*(s + 1)**4/2
Let h(s) be the second derivative of -s**5/30 - 7*s**4/54 - 4*s**3/27 - 6*s + 1. Factor h(o).
-2*o*(o + 1)*(3*o + 4)/9
Let l(b) = 14*b - 21. Let c(p) = -5*p + 7. Let m(s) = -17*c(s) - 6*l(s). Let k be m(-5). Find w such that 1/3*w - 1/3*w**k + 1/3 - 1/3*w**3 = 0.
-1, 1
Let h be 49/(-294) - 79/(-42). Factor -h*n - 24/7*n**2 - 15/7*n**3 + 0 - 3/7*n**4.
-3*n*(n + 1)*(n + 2)**2/7
Let a(i) = 2*i + 3. Let z be a(0). Factor 51*c**z + 15*c**4 - 32*c**2 - 20 - 4 + 50*c**2 - 60*c.
3*(c - 1)*(c + 2)**2*(5*c + 2)
Let r(b) = b**3 + 7*b**2 + 4*b + 30. Let n be r(-7). Factor 0*w + 2/7*w**3 + 2/7*w**n + 0.
2*w**2*(w + 1)/7
Let -1/2*k**2 - 128 + 16*k = 0. What is k?
16
Let i(u) be the first derivative of -u**4/3 + 8*u**3/3 - 8*u**2 - 5*u + 3. Let p(l) be the first derivative of i(l). Find g, given that p(g) = 0.
2
Let y(i) = i + 7. Let l be y(-4). Factor 4*q**3 + 0*q**l - 2*q - 2*q**5 + 0*q.
-2*q*(q - 1)**2*(q + 1)**2
Let -33*r**2 - 4*r**4 - 7*r + 2 - 30*r**2 + r**4 + 64*r**2 + 7*r**3 = 0. What is r?
-1, 1/3, 1, 2
Let h be 2/(-10)*7/(56/(-16)). Let 0*r + 2/5*r**5 + 0 - h*r**3 - 4/5*r**2 + 4/5*r**4 = 0. Calculate r.
-2, -1, 0, 1
Let z(v) = -18*v**3 - 27*v**2 - 91*v - 43. Let o(m) = 8*m**3 + 14*m**2 + 46*m + 22. Let i(x) = 13*o(x) + 6*z(x). Find n such that i(n) = 0.
-1, 7
Let t be 3/(-2) + 63/6. Let v be 6/4*6/t. Suppose s**2 - v + 1/2*s**3 - 1/2*s = 0. Calculate s.
-2, -1, 1
Let f(m) be the second derivative of 0 + 1/7*m**3 - 3/70*m**5 + 1/105*m**6 + 4*m + 1/42*m**4 - 2/7*m**2. Factor f(i).
2*(i - 2)*(i - 1)**2*(i + 1)/7
Let b(x) = x**2 - 3*x + 3. Let q be 1/(-4) + (-91)/(-28). Let w be b(q). Factor 12/7*o**2 + 2/7 + 2/7*o**4 + 8/7*o + 8/7*o**w.
2*(o + 1)**4/7
Let q(l) be the first derivative of -3*l**5/20 + 5*l**4/16 - l**3/6 - 1. What is o in q(o) = 0?
0, 2/3, 1
Let 0 + 1/4*b**3 + 1/4*b**2 - 1/4*b - 1/4*b**4 = 0. What is b?
-1, 0, 1
Suppose -4*b + b + 6 = 0. Factor -j**4 - 1 + b*j**2 + j**3 + 0*j**3 - j**3.
-(j - 1)**2*(j + 1)**2
Let t be (-1)/(-4) - 1/4. Let a(f) = -f**3 + 6*f**2 + 7*f + 3. Let g be a(7). Factor -g + 3*o**3 + t*o**3 + 3.
3*o**3
Let q = -3 + 4. Let r(d) = -10*d**4 + 12*d**3 - 10*d**2 - 8*d. Let l(w) = w**4 - w**3 + w**2 + w. Let v(t) = q*r(t) + 8*l(t). Solve v(u) = 0.
0, 1
Let a be (-4)/(-10) + (-78)/(-30). Find f, given that 4*f**2 - f**2 - 1 - 2*f**2 + 4*f**a - 4*f = 0.
-1, -1/4, 1
Suppose 0*x - x - 3*x = 0. Let w(z) be the first derivative of -1/18*z**6 + 0*z**5 - 1/6*z**2 + 3 + 0*z**3 + 1/6*z**4 + x*z. Determine v so that w(v) = 0.
-1, 0, 1
Let n(a) be the second derivative of a**6/600 - a**4/120 - 2*a**2 + a. Let g(x) be the first derivative of n(x). Let g(f) = 0. What is f?
-1, 0, 1
Let k(g) = -g**2 - 8*g + 3. Let x be k(-8). Factor 6*a**2 + 2*a**4 - 3 - x*a**4 - 2*a**4.
-3*(a - 1)**2*(a + 1)**2
Suppose -4*z + 20 = 12. Suppose z*b - 13 = -5. Factor 5/3*p + 3*p**2 + 1/3 + 2/3*p**b + 7/3*p**3.
(p + 1)**3*(2*p + 1)/3
Suppose 4*x = 6*x - 4. Factor 6*r + 2*r**2 + 3*r**2 - 3*r**4 - x*r**2 - 9*r**3 + 3*r**5.
3*r*(r - 2)*(r - 1)*(r + 1)**2
Let c(g) be the second derivative of g**6/40 + g**5/5 + g**4/2 + 3*g**2/2 - 3*g. Let s(h) be the first derivative of c(h). What is a in s(a) = 0?
-2, 0
Let q(m) be the first derivative of 3*m**5/10 - 3*m**4/4 + 3*m**3/4 - 3*m**2/8 - 3*m + 3. Let x(w) be the first derivative of q(w). Factor x(p).
3*(2*p - 1)**3/4
Let f(u) be the second derivative of u + 0*u**2 - 1/6*u**4 - 2/3*u**3 + 0. Factor f(n).
-2*n*(n + 2)
Let y(o) be the second derivative of -o**6/30 + o**5/4 - 2*o**4/3 + 2*o**3/3 - 12*o. Factor y(f).
-f*(f - 2)**2*(f - 1)
Let j(h) be the first derivative of h**5/25 + h**4/4 + h**3/5 - 9*h**2/10 + 8. Suppose j(s) = 0. Calculate s.
-3, 0, 1
Factor 1/2*a + 0 - 1/2*a**2 - 1/2*a**3 + 1/2*a**4.
a*(a - 1)**2*(a + 1)/2
Let r(x) be the second derivative of -x + 2/5*x**5 - 4/3*x**3 - 1/3*x**4 + 1/5*x**6 + 0 - x**2. Suppose r(g) = 0. Calculate g.
-1, -1/3, 1
Let s(n) = -n**2 - 4*n + 7. Let t be s(-5). Let z be 44/10 + t/(-5). Factor f**2 - 3*f**4 - f**3 + 4*f**z - f**3.
f**2*(f - 1)**2
Suppose 6 = -0*t - 3*t, 5*t + 220 = 5*z. Solve -z*o**2 - 7*o + 44*o**2 + 3*o = 0.
0, 2
Let r = -4 - -8. Let b be (r + -3)/(3/4). Factor -1/3*x**2 - b*x - 4/3.
-(x + 2)**2/3
Let k = 27 - 22. Factor -11*z**3 + 4*z**5 - 5*z**3 - k*z**4 + 5*z**4.
4*z**3*(z - 2)*(z + 2)
Find r, given that 3/4 - 3/4*r**3 + 9/4*r**2 - 9/4*r = 0.
1
Suppose 0*x = -x + 6. Factor -i**2 - i**4 + x*i**2 + 2*i**4 - 4*i**2 + 2*i**3.
i**2*(i + 1)**2
Let t(g) be the first derivative of -3*g**4/4 + g**3 + 6*g**2 - 12*g - 11. Find f, given that t(f) = 0.
-2, 1, 2
Let u = -5 - -5. Let d = 3/11 + 5/22. Find w, given that u - 1/2*w + 3/4*w**3 + d*w**4 