rd derivative of -r**7/630 + r**6/360 + r**5/45 - r**4/18 - 3*r**2. Factor q(b).
-b*(b - 2)*(b - 1)*(b + 2)/3
Let m(d) = d**4 + 16*d**3 + 19*d**2 + 4*d. Let c(u) = 5*u**4 + 95*u**3 + 115*u**2 + 25*u. Let x(w) = -4*c(w) + 25*m(w). Find r such that x(r) = 0.
-3, -1, 0
Let w = 8/41 + 304/123. Solve -2/3*j + 5/3*j**4 + 1/3*j**2 + 0 + w*j**3 = 0 for j.
-1, 0, 2/5
Let d(u) = 0*u - 2*u + 0*u. Let n be d(-5). Let h(f) = 2*f**2 + 2*f. Let g(q) = q**2 + q. Let b(x) = n*g(x) - 6*h(x). Let b(y) = 0. Calculate y.
-1, 0
Let j(h) be the third derivative of -1/3*h**3 + 0 - 7/24*h**4 + 0*h - 3*h**2 + 1/30*h**5 + 7/120*h**6. Factor j(y).
(y - 1)*(y + 1)*(7*y + 2)
Let i(b) = b + 20. Let r be i(-9). Let w = r + -21/2. Factor -1/4*f**2 + 0 - w*f**5 - 3/4*f**3 + 1/4*f + 5/4*f**4.
-f*(f - 1)**3*(2*f + 1)/4
Solve -5*y**2 - 15*y**4 + 33*y**5 - 23*y**5 + 10*y**2 = 0 for y.
-1/2, 0, 1
Let j = 988/35 + -139/5. Solve 0 + 3/7*r**3 + 6/7*r**2 + j*r = 0.
-1, 0
Let p(d) be the first derivative of -d**6/15 - 18*d**5/25 - 3*d**4 - 92*d**3/15 - 33*d**2/5 - 18*d/5 - 10. Factor p(k).
-2*(k + 1)**3*(k + 3)**2/5
Suppose -191 = -5*k + 39. Factor -70*p**2 + 3 - 3 + k*p**2 + 36*p + 4*p**3.
4*p*(p - 3)**2
Solve 12*k**2 + 3*k**3 - 12*k**4 + 3*k - 5*k**5 - k + 2*k - 2*k**3 = 0.
-2, -1, -2/5, 0, 1
Let k(i) = -3*i**3 + 5*i**2 - 10*i + 4. Let v(n) = -13*n**3 + 20*n**2 - 41*n + 16. Let p(y) = -18*k(y) + 4*v(y). Factor p(f).
2*(f - 2)**2*(f - 1)
Factor 8/5*h - 3/5*h**2 - 3/5 - 2/5*h**3.
-(h - 1)*(h + 3)*(2*h - 1)/5
Suppose 13*h + 4*h = 34. Let s(j) be the second derivative of -1/20*j**5 + 0 + 5/12*j**4 + h*j - 4/3*j**3 + 2*j**2. Suppose s(z) = 0. What is z?
1, 2
Let u(w) = 8*w**2 - w + 1. Let l(i) = 6*i**2 - i**2 + 0*i - 4*i**2 - 1 - i. Let b(t) = 2*l(t) + 2*u(t). Factor b(a).
2*a*(9*a - 2)
Let g(z) be the third derivative of z**5/105 + 4*z**4/21 + 32*z**3/21 - 22*z**2. Determine q so that g(q) = 0.
-4
Suppose -3*l - 2 = -t - 13, -3*t - 13 = l. Suppose 2*h - 10*h - 5*h**l - 4 - 4*h = 0. What is h?
-2, -2/5
Let h(v) = -2 + 4*v**2 - 6*v + 2*v + 3*v + 0*v + v**3. Let d be h(-4). Factor -3*f - 2 - 2 + 0*f + f + 2*f**d.
2*(f - 2)*(f + 1)
Solve -4/3*u**2 + 4 - 8/3*u = 0.
-3, 1
Determine i, given that 30*i**3 + 30*i**3 + 320*i + 68*i**2 - 56*i**3 + 256 = 0.
-8, -1
Let y = -190/3 - -64. Factor 6 - 4*i + y*i**2.
2*(i - 3)**2/3
Let y be 2/(-15)*-3 + (-396)/(-110). Factor -2/3*m**y - 2/3*m**5 + 0*m + 2/3*m**2 + 0 + 2/3*m**3.
-2*m**2*(m - 1)*(m + 1)**2/3
Let m = 2918/7 + -416. Let 0 + 0*f - m*f**3 + 4/7*f**2 = 0. What is f?
0, 2/3
Let 5 + 13 - 4*h - h**3 - 18 + 4*h**2 = 0. Calculate h.
0, 2
Let f(p) be the first derivative of 2 + 0*p + 0*p**2 - 1/18*p**3. Let f(b) = 0. Calculate b.
0
Let q(t) be the first derivative of 2*t**6/3 - 8*t**5/5 + t**4 - 45. Find f, given that q(f) = 0.
0, 1
Let z(u) be the first derivative of u**5/120 - u**4/48 - u**2 - 2. Let v(w) be the second derivative of z(w). Factor v(q).
q*(q - 1)/2
Let j = 0 + 0. Let d(x) be the third derivative of 1/105*x**7 + j*x**5 + 0*x**6 + 0*x**3 + 1/168*x**8 + 2*x**2 + 0 + 0*x**4 + 0*x. Factor d(v).
2*v**4*(v + 1)
Let v(q) be the second derivative of 2*q**7/21 - 2*q**6/5 + 3*q**5/5 - q**4/3 + 6*q. Find j such that v(j) = 0.
0, 1
Let 0*j + 0 + 3/5*j**2 = 0. What is j?
0
Let g(u) be the second derivative of 1/20*u**5 - 1/30*u**6 + 0*u**2 - 1/42*u**7 + 0*u**3 + 0 + 2*u + 1/12*u**4. Factor g(r).
-r**2*(r - 1)*(r + 1)**2
Let x(t) = -13*t**4 + 29*t**3 - 16*t**2 + 5*t + 5. Let s(v) = 6*v**4 - 14*v**3 + 8*v**2 - 2*v - 2. Let u(i) = -5*s(i) - 2*x(i). Solve u(o) = 0 for o.
0, 1, 2
Let n(l) be the second derivative of -1/12*l**3 + 0*l**2 + 0 + 3*l - 1/40*l**5 + 1/12*l**4. Factor n(s).
-s*(s - 1)**2/2
Let g(b) be the second derivative of 1/3*b**6 + b**5 + b**2 + 1/21*b**7 + 0 + 5/3*b**4 + 5/3*b**3 - 11*b. Factor g(c).
2*(c + 1)**5
Suppose 3*k = k - 2. Let u be k/(-3) - (-9)/(-189). Let u*p**3 + 0*p + 0 - 2/7*p**2 = 0. Calculate p.
0, 1
Let m(i) be the third derivative of 1/30*i**5 - 1/105*i**7 + 0*i**3 - 1/60*i**6 + 1/12*i**4 - 4*i**2 + 0 + 0*i. Factor m(h).
-2*h*(h - 1)*(h + 1)**2
What is d in -52/9*d**2 + 14/9*d**3 + 16/9 + 40/9*d = 0?
-2/7, 2
Let f(s) be the first derivative of s**6/30 + s**5/20 + s + 1. Let d(c) be the first derivative of f(c). Factor d(b).
b**3*(b + 1)
Suppose -2*h - 4*z + 24 = 0, 0 = -4*h - 4*z + 20 + 8. Factor -r - 2 - r - h*r**2 + 6*r.
-2*(r - 1)**2
Let i(p) = 5*p**3 - 8*p**2 + 2*p - 2. Let r(l) = -l**3 + l**2 - l + 1. Let t(c) = -i(c) - 2*r(c). Factor t(o).
-3*o**2*(o - 2)
Let y(n) = n - 19. Let f be y(22). Let -2/9*q**f + 2/9*q**2 - 2/9 + 2/9*q = 0. What is q?
-1, 1
What is r in 22/3*r + 4 + 4*r**2 + 2/3*r**3 = 0?
-3, -2, -1
Find z such that -4/3*z**3 - 2/3*z**2 - 1/3*z**5 + 4/3*z**4 - 2/3 + 5/3*z = 0.
-1, 1, 2
Let g = 5/21 - -2/21. Let x = -70 + 72. Solve g*m - 20/3*m**4 - 8*m**x - 43/3*m**3 + 2/3 = 0 for m.
-1, -2/5, 1/4
Suppose -2*o - 2*t = o - 41, 5*t - 31 = -2*o. Suppose 7*p**3 + 12*p**4 - 9*p**2 + 6*p**3 - o*p**3 - 3*p = 0. Calculate p.
-1/2, 0, 1
Let h(m) be the third derivative of -3*m**2 + 0*m**3 + 0 + 1/60*m**6 + 1/105*m**7 + 0*m - 1/30*m**5 - 1/12*m**4. What is o in h(o) = 0?
-1, 0, 1
Let p(l) be the first derivative of -l**4/4 + 4*l**3/3 - 3*l**2/2 + 5. Solve p(r) = 0 for r.
0, 1, 3
Let j = -31408341/413 + 76049. Let n = 2/59 - j. Factor 2/7*h + 4/7 - n*h**2.
-2*(h - 2)*(h + 1)/7
Let r be (2/8)/(1/6). Let m = 142 - 139. Solve r*g**2 + m*g + 3/2 = 0.
-1
Let w = 6 - 3. Solve 0*s**2 - 1/4*s**4 + 1/4 + 1/2*s**w - 1/2*s = 0 for s.
-1, 1
Let x(s) be the first derivative of -s**4 + 4*s**3 - 4*s**2 - 3. Factor x(u).
-4*u*(u - 2)*(u - 1)
Let y(i) be the first derivative of -1/2*i**3 + 0*i**5 + 3/4*i**4 + 3/2*i - 1/8*i**6 - 9/8*i**2 - 3. Suppose y(g) = 0. What is g?
-2, -1, 1
Let t(f) be the first derivative of -f**6/21 + 6*f**5/35 - f**4/14 - 2*f**3/7 + 2*f**2/7 + 7. Find d such that t(d) = 0.
-1, 0, 1, 2
Let f(t) be the third derivative of -t**5/240 + t**4/3 - 32*t**3/3 + 9*t**2 - 3. Let f(r) = 0. What is r?
16
Let n(i) be the second derivative of i**4/4 + i**3 - 9*i**2/2 + 3*i. Let n(w) = 0. Calculate w.
-3, 1
Suppose 124*m - 133*m + 9 = 0. Factor 1/2*a - 3/2*a**2 + m.
-(a - 1)*(3*a + 2)/2
Let 0*q + 0 + 1/7*q**4 - 1/7*q**2 + 0*q**3 = 0. Calculate q.
-1, 0, 1
Let i(g) be the second derivative of g**7/630 - g**6/360 - g**5/90 - g**2 - 2*g. Let z(p) be the first derivative of i(p). Factor z(t).
t**2*(t - 2)*(t + 1)/3
Factor -3/2*d**3 - 21/2*d**2 + 24 - 12*d.
-3*(d - 1)*(d + 4)**2/2
Let h(k) be the second derivative of k**4 + k**3 + 5*k**2 + 5*k. Let b(d) = d**2 + d + 1. Let l(x) = -10*b(x) + h(x). Find a such that l(a) = 0.
0, 2
Let t(o) be the second derivative of -o**7/30 - 3*o**6/50 + o**5/20 + 3*o**4/20 + o**3/15 + 17*o. Determine b, given that t(b) = 0.
-1, -2/7, 0, 1
Let u(m) = m**2 + 5*m + 4. Let c(p) = -3*p**2 - 14*p - 11. Suppose 5*j = 10, 0 = -t + 5*j - 0*j - 6. Let k(d) = t*c(d) + 11*u(d). Factor k(h).
-h*(h + 1)
Let k(w) be the second derivative of -7*w - 8/9*w**4 - 2/3*w**2 - w**3 - 1/63*w**7 - 2/15*w**6 + 0 - 7/15*w**5. Factor k(j).
-2*(j + 1)**4*(j + 2)/3
Let h be (-192)/(-20) - 4/(-10). Factor -h*c**4 + c**2 - 2*c**2 - 3*c**2 + 14*c**3.
-2*c**2*(c - 1)*(5*c - 2)
Let o(m) = 5*m**3 + 6*m**2 - 3*m - 6. Let p(d) = -6*d**3 - 6*d**2 + 3*d + 6. Let z(c) = -3*o(c) - 2*p(c). Factor z(r).
-3*(r - 1)*(r + 1)*(r + 2)
Let n(r) be the third derivative of -r**6/72 + r**5/18 - 5*r**4/72 - 29*r**2. Let n(q) = 0. Calculate q.
0, 1
Suppose 4*k = -h, 2*k - 4*h - h = 0. Suppose 1 = -b, k = -4*m - m + 3*b + 18. Factor -5*u**m + 4*u**2 + 6*u**4 - 6*u**3 + u**3.
2*u**2*(u - 1)*(3*u - 2)
Let j(i) = -i**3 - 5*i**2 + 3*i. Let y be j(-6). Find u, given that u**5 + 2*u**5 - 12*u**4 + y*u**3 + 78*u**2 - 90*u**2 + 3*u = 0.
0, 1
Let r = 4 + 0. Let z be r*(4 + 46/(-12)). Find s such that -1/3*s**5 - 2/3*s**3 + z*s**2 + s + 1/3 - s**4 = 0.
-1, 1
Let t = 121/80 + -21/16. Find j such that 1/5*j + t*j**2 - 2/5 = 0.
-2, 1
Let h = 99 - 97. What is k in 4/7*k - 2/7 - 2/7*k**h = 0?
1
Let l be (-64)/(-14) - -8*3/(-6). Solve 0 - 2/7*t**2 + l*t = 0 for t.
0, 2
Let k(w) be the first derivative of 8*w**5/5 + 5*w**4/2 - 14*w**3/3 - 2*w**2 - 24. Factor k(f).
2*f*(f - 1)*(f + 2)*(4*f + 1)
Let x(b) be the first derivative of -b**4/78 + 4*b**3/39 - 4*b**2/13 