04/7*b**3.
3*(b - 17)**4/7
Let s(p) be the second derivative of 5/4*p**4 - 13*p + 25/6*p**3 + 0 + 5*p**2. Factor s(u).
5*(u + 1)*(3*u + 2)
Let g(l) = 9*l - 5. Let t(v) = -5*v + 3. Let r(x) = -4*g(x) - 7*t(x). Let o(c) = -5*c**2 + 15*c - 25. Let h(d) = o(d) - 5*r(d). Suppose h(u) = 0. What is u?
2
Let -9/2*h**4 + 27/4*h**3 + 3*h**2 + 3/4*h**5 + 0 - 9*h = 0. What is h?
-1, 0, 2, 3
Let y be 2 - (0 - -3) - -13. Suppose 239 = 27*s - 31. Factor y*f**2 + 13*f**4 - s*f**4 + 8*f - 7*f**4.
-4*f*(f - 2)*(f + 1)**2
Let b be (-46)/(-6) + 0 + -3. Factor -b*h**3 + 14/3*h - 4/3*h**2 + 4/3.
-2*(h - 1)*(h + 1)*(7*h + 2)/3
Let x(z) = -20*z**3 - 36*z**2 - 40*z. Let t(h) = -8*h**3 - 14*h**2 - 16*h. Let v(y) = 12*t(y) - 5*x(y). Determine p so that v(p) = 0.
-2, -1, 0
Let h(a) be the first derivative of 3/2*a**4 + 2/3*a**3 - 9 + 0*a - 7/10*a**5 + 0*a**2. Factor h(o).
-o**2*(o - 2)*(7*o + 2)/2
Let k(b) be the third derivative of 2*b**7/735 + b**6/210 - 2*b**5/105 + 14*b**2 + b. Factor k(n).
4*n**2*(n - 1)*(n + 2)/7
Let l(p) be the first derivative of 2/3*p**3 + 8 - 6*p - 2*p**2. Factor l(y).
2*(y - 3)*(y + 1)
Suppose 15/7*c + 1/7*c**3 + 16/7*c**2 + 0 = 0. What is c?
-15, -1, 0
Find y, given that 1216*y + 144*y**2 - 612*y - 604*y + 4*y**3 = 0.
-36, 0
Factor 19*h - 17*h + 4*h**2 - 72 + 10*h.
4*(h - 3)*(h + 6)
Let i(w) be the second derivative of -3*w**5/140 + 5*w**4/28 + 13*w**3/14 + 3*w**2/2 - 73*w + 1. Factor i(h).
-3*(h - 7)*(h + 1)**2/7
Let m(c) = 5*c**4 - 12*c**3 - 18*c**2 + 40*c + 2. Let f(t) = -110*t**4 + 265*t**3 + 395*t**2 - 880*t - 45. Let i(w) = 2*f(w) + 45*m(w). Solve i(q) = 0.
-2, 0, 2
Let f be ((-12)/63 - 0)/((-111)/259). Factor f*p**2 - 2/9*p**3 - 2/9*p + 0.
-2*p*(p - 1)**2/9
Let v(g) be the third derivative of g**8/3360 + 7*g**4/24 + 4*g**2. Let m(x) be the second derivative of v(x). Solve m(s) = 0.
0
Suppose 17*f = 9*f + 16. What is d in 0 + 2/3*d**3 + 0*d**f - 2/3*d**5 + 0*d + 0*d**4 = 0?
-1, 0, 1
Let s(t) be the second derivative of t**7/21 + 2*t**6/15 - t**4/3 - t**3/3 - 179*t. Factor s(x).
2*x*(x - 1)*(x + 1)**3
Let m = 765/2 - 382. Solve 0*o - 1/2*o**5 + 0 + 1/4*o**2 + m*o**3 - 1/4*o**4 = 0 for o.
-1, -1/2, 0, 1
Let y(q) be the third derivative of -q**6/72 + 3*q**5/8 - 5*q**4/3 + 11*q**3/3 - 9*q**2. Let z(w) be the first derivative of y(w). Solve z(b) = 0 for b.
1, 8
Let w(k) be the second derivative of -1/6*k**6 + 5/12*k**4 - 33*k + 0 + 5/6*k**3 - 1/4*k**5 + 0*k**2. Find r, given that w(r) = 0.
-1, 0, 1
Let y(b) be the second derivative of -9*b**5/25 - 3*b**4/10 - b**3/10 + 6*b**2 + b. Let j(n) be the first derivative of y(n). Factor j(v).
-3*(6*v + 1)**2/5
Let n(j) be the second derivative of 121*j**5/15 + 11*j**4/9 - 64*j**3/3 - 24*j**2 + 9*j. Factor n(h).
4*(h - 1)*(11*h + 6)**2/3
Let q(z) be the first derivative of -12 + 1/10*z**5 + 1/6*z**4 + 7*z + 0*z**3 + 0*z**2. Let r(c) be the first derivative of q(c). Factor r(v).
2*v**2*(v + 1)
Let t(c) = -2*c**3 - 118*c**2 + 9*c + 533. Let s be t(-59). Factor -75/4*b**s + 60*b - 48.
-3*(5*b - 8)**2/4
Let l(w) be the third derivative of -1/120*w**5 + 0*w + 0 - 1/48*w**4 + 0*w**3 + 13*w**2. Factor l(y).
-y*(y + 1)/2
Let x(n) be the second derivative of -2*n**3 - 82/45*n**6 + 11/5*n**5 + 7/9*n**4 + 0 - 4/3*n**2 - 10*n + 8/21*n**7. Solve x(c) = 0 for c.
-1/3, -1/4, 1, 2
Let m(p) be the third derivative of -1/12*p**3 + 0*p - 10*p**2 - 1/48*p**4 + 1/240*p**6 + 0 + 1/120*p**5. Factor m(i).
(i - 1)*(i + 1)**2/2
Let 480*q**2 + 376 + 5*q**5 - 744 + 368 - 170*q**3 - 315*q = 0. Calculate q.
-7, 0, 1, 3
Let w = 98263/9 - 10907. Factor -w - 40/9*a - 4/9*a**2.
-4*(a + 5)**2/9
Let k be ((-80)/140)/(110/(-98) + 1). Let g(y) be the first derivative of 8*y - 16*y**2 - 5 + k*y**3. Factor g(d).
2*(d - 2)*(7*d - 2)
Let o(p) be the first derivative of -1/12*p**2 - 1/6*p**3 + 0*p - 1/12*p**4 - 14. What is h in o(h) = 0?
-1, -1/2, 0
Let g(w) be the second derivative of 3*w**5/20 + w**4/3 - w**3/3 + 6*w. Let z(v) = -v**3 + v. Let x(a) = g(a) + 2*z(a). Factor x(u).
u**2*(u + 4)
Let d(w) be the first derivative of 2*w**5/5 - 9*w**4 + 72*w**3 - 270*w**2 + 486*w + 763. Factor d(n).
2*(n - 9)*(n - 3)**3
Factor -228*a + 16*a**4 + 12*a**4 - 39*a**4 - 126*a**2 - 120 - 15*a**3 + 14*a**4.
3*(a - 10)*(a + 1)*(a + 2)**2
Let u(l) be the third derivative of -1/45*l**5 + 0*l - 1/504*l**8 - 1/90*l**6 + 1/12*l**4 + 2*l**2 - 1/9*l**3 + 1/105*l**7 + 0. Determine n so that u(n) = 0.
-1, 1
Determine b so that 78/5*b**4 + 147/5*b - 72/5 - 3/5*b**5 - 144/5*b**3 - 6/5*b**2 = 0.
-1, 1, 24
Let u = -5423 - -10847/2. Factor 1/2*i**2 - u*i**4 + 0 - i**3 + i.
-i*(i - 1)*(i + 1)*(i + 2)/2
Let r(q) be the first derivative of -q**4/30 + 4*q**2/15 + 187. What is i in r(i) = 0?
-2, 0, 2
Let o(t) be the second derivative of 11*t**6/2700 + 13*t**5/900 + t**4/90 + 7*t**3/3 + 10*t. Let k(g) be the second derivative of o(g). Factor k(y).
2*(y + 1)*(11*y + 2)/15
Let f(a) = -a**4 - a**3 + a**2 + 2*a - 2. Let o(d) = 10*d**4 + 112*d**3 + 2020*d**2 + 17560*d + 57138. Let v(s) = 8*f(s) + o(s). Factor v(x).
2*(x + 13)**4
Factor 10*i**3 + 2*i**4 - 12*i**3 - 126*i - 24*i**3 - 102*i**2 - i**4 - 3*i**4.
-2*i*(i + 3)**2*(i + 7)
Suppose -11*y = -14 + 3. Let h(d) be the first derivative of -2/27*d**3 - 2/3*d**2 - 2*d - y. Solve h(w) = 0.
-3
Let n = -14192 - -56773/4. Factor n*p - 1/4*p**2 + 0.
-p*(p - 5)/4
Let u(c) be the second derivative of 12/7*c**2 + 3/7*c**3 + 0 - 5/4*c**4 - 10*c. Solve u(k) = 0 for k.
-2/5, 4/7
Let t be (-9 + 1 + 13)*5/50. Find c, given that 1/2*c**2 - 1/4*c + 0*c**3 + 0 - t*c**4 + 1/4*c**5 = 0.
-1, 0, 1
Let g be (6 - 3 - 4) + 0 + 4. Determine q, given that 5*q + 53*q**3 - 56*q**g + q + 3*q**2 = 0.
-1, 0, 2
Factor -14*i + 16/3*i**2 + 12 - 2/3*i**3.
-2*(i - 3)**2*(i - 2)/3
Factor 2*y**2 - 10/3 + 1/3*y**3 + y.
(y - 1)*(y + 2)*(y + 5)/3
Let n(o) be the third derivative of o**7/350 - 9*o**6/200 + 7*o**5/25 - 9*o**4/10 + 8*o**3/5 + 63*o**2. Solve n(d) = 0.
1, 2, 4
Let l(z) be the third derivative of -z**7/735 + 31*z**6/140 - 1103*z**5/105 + 23*z**4 + 4232*z**3/21 - 107*z**2. Let l(v) = 0. Calculate v.
-1, 2, 46
Let x = -76831/2 + 38417. Factor -x + 0*l**2 - 7/4*l + 1/4*l**3.
(l - 3)*(l + 1)*(l + 2)/4
Let p(x) be the first derivative of -1/12*x**4 - 9*x - 1 - 1/2*x**2 + 7/12*x**3 - 3/40*x**5. Let q(u) be the first derivative of p(u). Factor q(j).
-(j - 1)*(j + 2)*(3*j - 1)/2
Let t(x) be the second derivative of 25*x**7/84 - x**6/12 - 33*x**5/20 - 11*x**4/6 - 2*x**3/3 + 5*x + 6. Let t(p) = 0. Calculate p.
-1, -2/5, 0, 2
Factor -6/13*l + 2/13*l**2 + 4/13.
2*(l - 2)*(l - 1)/13
Suppose 0 = f - 5*d + 22, 0 = -3*f + 3*d - 4 - 2. Let w be (6/(-1))/(-1) + -2. Find s such that -4*s**5 + w*s**3 - 3*s**f + 3*s**3 = 0.
-1, 0, 1
Let u(z) = 9*z**2 + 405*z - 390. Let x(c) = 8*c**2 + 402*c - 390. Let h(v) = 5*u(v) - 6*x(v). Factor h(s).
-3*(s - 1)*(s + 130)
Let g(o) be the second derivative of -o**6/72 + o**5/4 - 15*o**4/8 + 7*o**3/2 + 16*o. Let z(f) be the second derivative of g(f). Factor z(r).
-5*(r - 3)**2
Let o(v) be the third derivative of -v**5/240 - 7*v**4/96 - 5*v**3/12 - 275*v**2. Find x, given that o(x) = 0.
-5, -2
Let o = 3674/7 + -524. Let -8/7*v**3 + 2/7*v + 4/7*v**2 - 4/7*v**4 + o*v**5 + 0 = 0. Calculate v.
-1, -1/3, 0, 1
Let p(h) be the second derivative of h**5/60 - h**4/18 - 45*h + 2. Determine m, given that p(m) = 0.
0, 2
Let v(f) be the second derivative of f**5/10 - 5*f**4/6 + 2*f**3 + 54*f. Factor v(w).
2*w*(w - 3)*(w - 2)
Suppose 17 = 3*v - 4*p, -v + 0*p - 5*p = 7. Solve -4*m**v - 5*m**5 + 10*m - 25*m**2 + m**3 + 6*m**3 + 12*m**3 + 5*m**4 = 0.
-2, 0, 1
Let d(h) = -8*h**3 - 1028*h**2 - 14476*h - 25000. Let l(j) = -3*j**3 - 411*j**2 - 5790*j - 10000. Let b(q) = 5*d(q) - 12*l(q). Factor b(i).
-4*(i + 2)*(i + 25)**2
Let f(k) = 5*k**3 + 8*k**2 + k - 2. Let c(j) be the first derivative of -7*j**4/2 - 23*j**3/3 - 2*j**2 + 5*j - 35. Let r(m) = -4*c(m) - 11*f(m). Factor r(p).
(p + 1)**2*(p + 2)
Let g(y) be the second derivative of -y**5/330 - y**4/33 - 4*y**3/33 - 8*y**2 + 3*y. Let b(a) be the first derivative of g(a). Factor b(u).
-2*(u + 2)**2/11
Let x(l) be the first derivative of -l**5/15 + l**4/3 - 2*l**3/9 - 2*l**2/3 + l + 152. Factor x(d).
-(d - 3)*(d - 1)**2*(d + 1)/3
Factor 4/3*j**3 - 1/6*j**4 - 4 - 5/6*j**2 - 19/3*j.
-(j - 6)*(j - 4)*(j + 1)**2/6
Let