*z*(z + 1)**2*(z + 2)/5
Let m(u) = -4*u**2 + 3*u**2 + 0*u**2 + 7 - 2*u**2. Let b be 112/(-20) + ((-6)/15 - 0). Let z(f) = -3*f**2 + 6. Let c(w) = b*m(w) + 7*z(w). Factor c(r).
-3*r**2
Let m be 20/((-130)/26)*2/(-14). Find r such that -2/7 + 8/7*r**2 - m*r**3 + 4/7*r - 6/7*r**4 = 0.
-1, 1/3, 1
Let w be 36/10 - 4/(-10). Let g(d) = 3*d - 9. Let l be g(w). Solve 4*f**l - 4*f**4 + 17*f**2 + 3*f**2 + 16*f**4 + 4*f + 24*f**3 = 0 for f.
-1, -1/3, 0
Let m(l) be the third derivative of 9/11*l**3 + 0*l - 1/924*l**8 - 29/2310*l**7 - 43/1320*l**6 + 3/20*l**5 + 0 + 81/88*l**4 + l**2. Find o such that m(o) = 0.
-3, -1/4, 2
Let t = 66 - 101. Let q be t/(-14) - 4/(-24)*-3. Factor 2/5*g**3 - 4/5*g**q + 2/5*g + 0.
2*g*(g - 1)**2/5
Factor 48*h - 28*h**3 - 24*h**3 - 16*h**2 - 9*h**4 - 6*h**4 - h**4.
-4*h*(h + 2)**2*(4*h - 3)
Let p be 1/(25*(-8)/(-160)). Determine r, given that 2/5*r**2 + p - 6/5*r = 0.
1, 2
Let v(t) = t**4 - t**2 + 2. Let i(s) = 452*s**4 - 160*s**3 - 8*s**2 + 4*s + 8. Let p(z) = i(z) - 4*v(z). Factor p(f).
4*f*(4*f - 1)**2*(7*f + 1)
Let m = 30 + -26. Let k(b) be the second derivative of -1/4*b**5 - 2/15*b**6 + 1/2*b**3 + 1/6*b**m + 0*b**2 - b + 0. What is y in k(y) = 0?
-1, 0, 3/4
Suppose 221*b = 220*b. Factor b + 5*z**2 - 5/2*z - 5/2*z**3.
-5*z*(z - 1)**2/2
Suppose -42 = 30*l - 102. Factor -1/4*d**5 - d**4 + 0 - 3/2*d**3 - d**l - 1/4*d.
-d*(d + 1)**4/4
Let b(x) be the first derivative of -3/20*x**5 - x**3 + 5*x - 11 + 0*x**2 + 3/4*x**4. Let g(o) be the first derivative of b(o). What is d in g(d) = 0?
0, 1, 2
Let l(q) be the third derivative of q**8/1344 + q**7/126 + 5*q**4/12 + 14*q**2. Let d(c) be the second derivative of l(c). Factor d(w).
5*w**2*(w + 4)
Let p(k) = 2*k + 30. Let l be p(-14). Suppose 2*i - 14 = -h, -5*i + 2*h = h - 21. Find g, given that 16*g**4 - 4*g**l + 3*g**5 - 2*g**3 - 6*g**i - 7*g**5 = 0.
-2/5, 0, 1
Let d = -55 - -60. Let h(b) be the second derivative of -1/54*b**4 - 2/9*b**2 - 1/9*b**3 + 0 + d*b. Suppose h(n) = 0. What is n?
-2, -1
Let j(p) be the first derivative of -p**7/1680 - p**6/360 + p**5/240 + p**4/24 - 9*p**3 + 23. Let h(z) be the third derivative of j(z). Factor h(r).
-(r - 1)*(r + 1)*(r + 2)/2
Factor -660 - 2*f**2 - 62*f - 361 - 26*f - 161 + 214.
-2*(f + 22)**2
Let y be ((-7)/3 + 0)/((-20350)/(-444) - 47). Find u, given that 0 + 4*u + 2/3*u**y - 2/3*u**3 = 0.
-2, 0, 3
Let y be 8 + 2496/(-112) - -16. Factor 4/7*t**5 + 4*t**2 + y*t + 18/7*t**4 + 32/7*t**3 + 2/7.
2*(t + 1)**4*(2*t + 1)/7
Let w be 92/21 + (-26)/(-273)*3. Suppose 2 - w*s + 8/3*s**2 = 0. Calculate s.
3/4, 1
Let d = -48 - -50. Let -3*w**d + w - 2 + 2 + 2*w**2 = 0. Calculate w.
0, 1
Let v(j) be the first derivative of -j**6/360 + j**5/20 - 3*j**4/8 - 10*j**3/3 + 8. Let b(x) be the third derivative of v(x). Let b(w) = 0. What is w?
3
Let p(l) = l**2 - l - 1. Let c(a) = -5*a**2 + 18*a - 42. Let f(i) = 1. Let q(r) = -c(r) + 3*f(r). Let g(k) = -4*p(k) + q(k). Factor g(b).
(b - 7)**2
Let n(r) be the first derivative of -r**6/6 + 24*r**5/5 - 209*r**4/4 + 246*r**3 - 270*r**2 - 1512*r - 26. Factor n(k).
-(k - 7)*(k - 6)**3*(k + 1)
Let i(l) be the second derivative of l**6/30 - l**4/2 + 4*l**3/3 - 3*l**2 + 10*l. Let q(a) be the first derivative of i(a). Factor q(d).
4*(d - 1)**2*(d + 2)
Let i(n) = -n**3 - 5*n**2 + 4*n - 6. Let h be i(-6). Let s be (h/12)/((-2)/(-16)). Factor 6*q + 7*q**2 - s + 36*q**4 + 9*q**2 - 44*q**3 - 11*q**5 + q**5 + 0.
-2*(q - 1)**4*(5*q + 2)
Let u(b) be the first derivative of b**4/42 - b**2/7 + 8*b - 7. Let f(h) be the first derivative of u(h). Factor f(l).
2*(l - 1)*(l + 1)/7
Factor -10*r**3 - 88/3*r + 0 - 32*r**2 - 2/3*r**4.
-2*r*(r + 2)**2*(r + 11)/3
Let p = 17 + -21. Let l be 3/(18/p) + (-20)/(-21). Suppose -l*r**4 - 2/7 + 8/7*r - 12/7*r**2 + 8/7*r**3 = 0. What is r?
1
Let m(w) = -9*w**4 - 13*w**3 - 5*w**2 - w + 2. Let q(r) = -r**5 + 46*r**4 + 67*r**3 + 25*r**2 + 5*r - 11. Let u(h) = 11*m(h) + 2*q(h). Factor u(t).
-t*(t + 1)**3*(2*t + 1)
Let m = 545 - 3814/7. Let j(t) be the first derivative of -1/21*t**3 + m*t**2 + 0*t - 4. What is f in j(f) = 0?
0, 2
Let l = -175 + 177. Let m(b) be the first derivative of -l*b**3 + 2*b**2 - b + b**4 - 1/5*b**5 - 4. Let m(u) = 0. Calculate u.
1
Let s(f) be the first derivative of 5/2*f**2 + 0*f - 5/36*f**5 + 5/18*f**4 - 2/9*f**3 + 3. Let w(d) be the second derivative of s(d). Let w(i) = 0. Calculate i.
2/5
Let n(o) = 4*o**3 + 47*o**2 - 2*o + 122. Let b be n(-12). Find c such that 4/11*c - 2/11*c**b + 0 = 0.
0, 2
Let o be (-6)/3 + -2*10/(-4). Let 8*l + 7*l - o - 9 + 5*l**2 - 8 = 0. What is l?
-4, 1
Determine o, given that 18/17*o - 2/17*o**3 - 28/17 + 12/17*o**2 = 0.
-2, 1, 7
Let r(f) be the first derivative of f + 10/9*f**3 - 13/15*f**5 - 13/6*f**2 + 3 + 1/6*f**6 + 5/6*f**4. Suppose r(w) = 0. What is w?
-1, 1/3, 1, 3
Let o(d) = 6*d**2 + 7*d - 4. Let y be o(-2). Factor 6 + 2*q**2 - 2 - 2*q**3 - 5*q - y + 7*q.
-2*(q - 1)**2*(q + 1)
Suppose 0 = -2*m + 2*a - a + 2, 3*m + 2*a = -4. Suppose -k = -m*k - 2. Factor -4*o**5 + 5*o**5 + o**3 - k*o**3.
o**3*(o - 1)*(o + 1)
Let y(c) = c**3 - 1. Let z(l) = -5*l**3 + 21*l**2 + 15*l - 223. Let j(o) = 2*y(o) + z(o). Find r, given that j(r) = 0.
-3, 5
Let x(h) be the third derivative of -h**5/210 + 19*h**4/14 - 1083*h**3/7 - 9*h**2 + 3. What is w in x(w) = 0?
57
Let k(n) = n**3 - n**2 - 13*n + 24. Let r be k(3). Factor 15/2*c**r + 0 + 0*c + 3/2*c**4 + 9*c**2.
3*c**2*(c + 2)*(c + 3)/2
Let u(s) be the third derivative of s**7/105 - s**6/6 + 3*s**5/10 - 4*s**2 - 39. Solve u(a) = 0 for a.
0, 1, 9
Let y be ((-286)/12)/13 - 21/(63/(-6)). Factor 1/3*j**4 + 0 + 0*j + y*j**5 + 0*j**2 + 1/6*j**3.
j**3*(j + 1)**2/6
Let x = 19 + -18. Let i(y) = -y**4 + y**3 + y**2 - y + 1. Let q(l) = 21*l**4 + 14*l**3 - 26*l**2 - 14*l + 4. Let s(o) = x*i(o) + q(o). Factor s(k).
5*(k - 1)*(k + 1)**2*(4*k - 1)
Let k(u) be the first derivative of -u**6/39 + 6*u**5/65 - u**4/26 - 2*u**3/13 + 2*u**2/13 - 146. Suppose k(g) = 0. What is g?
-1, 0, 1, 2
Let k = 4959/7 - 39623/56. Find l such that 5/8*l**3 + k*l**4 + 0 + 1/2*l - 2*l**2 = 0.
-2, 0, 2/7, 1
Let y(g) be the first derivative of g**5/140 + 5*g**4/84 - 26*g - 12. Let k(m) be the first derivative of y(m). Determine t so that k(t) = 0.
-5, 0
Solve -3*x**3 + 5*x**3 + 0*x + 2 - 3*x**3 + 6*x - 11*x + 4*x**2 = 0.
1, 2
Suppose -2*g - 4 = -4*i, 5*i - 4*i = 4*g - 13. What is b in b**4 - 20*b**3 + 13*b**3 + 7*b**i = 0?
0
Let k(m) = -12*m - 72. Let h be k(-6). Let z(s) be the first derivative of 4/9*s**3 + h*s**2 - 2 - 1/6*s**4 + 0*s. Factor z(d).
-2*d**2*(d - 2)/3
Let c(a) = -4*a**2 + 8*a - 4. Let q(r) = 2*r**3 - 8*r**2 + 16*r - 10. Let o(j) = -5*c(j) + 2*q(j). Find z such that o(z) = 0.
-2, 0, 1
Let z(q) be the third derivative of q**8/504 - 4*q**7/315 + q**6/60 - 53*q**2. Determine a so that z(a) = 0.
0, 1, 3
Let n(t) = 76*t + 1066. Let d be n(-14). Determine c, given that -4/3*c**5 + 2*c**4 + 14/3*c**3 + 0 + 8/3*c - 8*c**d = 0.
-2, 0, 1/2, 1, 2
Suppose 0 = 3*o + 9, -295 + 308 = r - 2*o. Factor r + 23/2*t + 3/2*t**2.
(t + 7)*(3*t + 2)/2
Let n(m) be the second derivative of 3*m**5/100 + 21*m**4/20 - 9*m**3/2 + 69*m**2/10 - 193*m. Factor n(t).
3*(t - 1)**2*(t + 23)/5
Suppose 0 = 4*c + 4*r + 16, -27 = -5*c + 3*r - 15. Factor c*j**2 + 2/3*j**3 - 2/3*j + 1/3*j**4 - 1/3.
(j - 1)*(j + 1)**3/3
Let k = -2818/9 + 2824/9. Determine j so that -k*j + 4/9 + 2/9*j**2 = 0.
1, 2
Let j = -9101 - -27395/3. Factor -208/3*o + 14/3*o**4 + 72*o**2 + 64/3 - j*o**3.
2*(o - 2)**3*(7*o - 4)/3
Let m(g) be the second derivative of -g**5/15 + g**3/6 + g**2/6 - 41*g + 1. Factor m(s).
-(s - 1)*(2*s + 1)**2/3
Let x(c) be the first derivative of c**3/27 + 4*c**2 + 144*c + 40. Factor x(s).
(s + 36)**2/9
Let w be 125/(-45) - (3 + -9 - -3). Let s(y) be the first derivative of -2/9*y - 1/9*y**4 + 0*y**3 + w*y**2 - 6 + 2/45*y**5. Solve s(a) = 0 for a.
-1, 1
Let d(i) be the second derivative of -i**6/36 - i**5/24 + 5*i**4/72 + 5*i**3/36 + 9*i. Determine o, given that d(o) = 0.
-1, 0, 1
Let l be 21 + -30 + ((-98)/(-6) - 3). Determine p, given that 3*p**5 + 20/3*p**4 + 2/3*p**2 + 0*p + l*p**3 + 0 = 0.
-1, -2/9, 0
Let c(t) be the second derivative of -2*t**6/15 - 8*t**5/5 - 6*t**4 - 32*t**3/3 - 10*t**2 - 2*t + 49. Factor c(i).
-4*(i + 1)**3*(i + 5)
Factor 1482*t**4 - 5*t**5 + 15*t**3 + 0*t*