y.
-2*f**2*(f + 1)**2*(7*f - 2)
Let x(y) be the first derivative of -y**3/7 + 18*y**2/7 - 15*y - 297. Solve x(o) = 0.
5, 7
Let w(n) be the first derivative of 20/9*n**3 + 1/2*n**4 + 1 + 4/3*n**2 + 4*n. Let x(j) be the first derivative of w(j). Factor x(v).
2*(v + 2)*(9*v + 2)/3
Let z be 697/6970 - 3*(-2)/20. Factor -1/5*s**5 + 2/5 - 3/5*s - z*s**2 + 0*s**4 + 4/5*s**3.
-(s - 1)**3*(s + 1)*(s + 2)/5
What is h in 35*h**2 + 30*h**3 + 45*h**3 - 24 + 79*h**2 - 54*h**5 - 12*h - 99*h**4 = 0?
-2, -2/3, 1/2, 1
Suppose m + 0*m = -3*v + 15, 3*v + 3*m - 21 = 0. Factor 165*a + 3*a**3 + 2*a**v - 165*a + a**4.
3*a**3*(a + 1)
Let u(l) be the first derivative of l**8/840 + l**7/84 + 7*l**6/180 + l**5/20 - 2*l**3/3 - 11. Let m(q) be the third derivative of u(q). Factor m(j).
2*j*(j + 1)**2*(j + 3)
Let i(a) be the second derivative of a**6/15 - 2*a**5/5 - 5*a**4/6 - a + 113. Determine w, given that i(w) = 0.
-1, 0, 5
Let h(p) be the second derivative of -p**5/4 + 5*p**4/4 - 5*p**3/3 - 55*p. Solve h(m) = 0 for m.
0, 1, 2
Solve -1265*p + 593 - 1292 + 1334 - 1915*p**2 - 15*p**3 = 0.
-127, -1, 1/3
Let p be 18/15*(3 - 147/56). Let b(r) be the first derivative of 1 + 3/10*r**2 + p*r**4 + 0*r + 3/25*r**5 + 3/5*r**3. Factor b(j).
3*j*(j + 1)**3/5
Let l(t) be the third derivative of -t**7/1890 + t**6/180 - t**5/180 - 5*t**4/108 + t**2 + 191. Solve l(i) = 0 for i.
-1, 0, 2, 5
Let p(g) be the first derivative of 2*g**5/15 - 7*g**4/6 - 4*g**3 + 283. Factor p(c).
2*c**2*(c - 9)*(c + 2)/3
Factor -40/7*k**2 - 16/7*k - 4*k**3 - 6/7*k**4 + 0.
-2*k*(k + 2)**2*(3*k + 2)/7
Let y(j) be the first derivative of -j**6/8 - 3*j**5/10 - 3*j**4/16 - 87. What is c in y(c) = 0?
-1, 0
Let s be 16/48 + (-118)/(-6). Factor -3*b - s*b**3 + 2*b - 14*b + 0*b - 35*b**2.
-5*b*(b + 1)*(4*b + 3)
Let i be -1 - (3 + -3) - -3. Determine v so that -17 - 1 + 3*v**2 - 12*v - 5*v**i = 0.
-3
Let v = -18 - -22. Suppose 0 = -2*c - 2, -o + 12 = v*o - 2*c. Factor -1/3*i**o + 0 - 1/3*i.
-i*(i + 1)/3
Find j, given that -146*j**3 - 4*j**4 + 21*j - j**4 + 5 - 11*j + 136*j**3 = 0.
-1, 1
Factor -4*s - 1/3*s**2 + 13/3.
-(s - 1)*(s + 13)/3
Let t(d) be the first derivative of d**6/720 + 4*d**3/3 + 13. Let c(p) be the third derivative of t(p). What is o in c(o) = 0?
0
Let o(i) be the third derivative of -i**7/70 - i**6/40 + 7*i**5/10 + 3*i**4 + 86*i**2. Factor o(r).
-3*r*(r - 4)*(r + 2)*(r + 3)
Let 2*p**3 - 2*p + 0*p - 6*p**2 - p - 5*p**3 = 0. Calculate p.
-1, 0
Let v = 23 + -21. Suppose -3*i = -2*p + 4, v*p = i + 6 + 2. Solve -4*h**2 - 2*h**3 - 130 - 4*h**i + 130 = 0 for h.
-4, 0
Let w(q) be the second derivative of -q**5/80 - 11*q**4/16 - 4*q**3/3 - 36*q + 1. Solve w(s) = 0 for s.
-32, -1, 0
Let r(n) be the second derivative of 3*n**5/8 - 81*n**4/8 + 91*n**3/4 - 45*n**2/4 + 740*n + 1. Suppose r(t) = 0. Calculate t.
1/5, 1, 15
Factor 2/5*t**2 - 12/5*t + 18/5.
2*(t - 3)**2/5
Let z = -18110 - -18113. Factor -6/5*b**2 + 8/5 - 2/5*b**z + 0*b.
-2*(b - 1)*(b + 2)**2/5
Let p(f) = f**2 - f - 3. Let l(y) = -30*y**2 - 3030*y - 1195. Let a(o) = l(o) + 5*p(o). Solve a(i) = 0.
-121, -2/5
Let k(a) be the second derivative of 4*a**5/5 + a**4 - 2*a**3/3 - 27*a - 1. Factor k(p).
4*p*(p + 1)*(4*p - 1)
Let w(v) = -7 - 6*v + 10 - 3. Let j be w(0). Find r such that 2/17*r**3 + 0*r**4 + j*r**2 + 0 - 2/17*r**5 + 0*r = 0.
-1, 0, 1
Let x be 453/604*((-2)/18 - -1). Find r, given that -1/3*r**5 + 0*r**3 - 2/3*r**2 + x*r**4 + 1/3*r + 0 = 0.
-1, 0, 1
Let z be (-46 - (-6304)/128) + (-5)/4. Solve -4/3*a - 2*a**4 + 2*a**z + 2/3*a**5 + 0 + 2/3*a**3 = 0 for a.
-1, 0, 1, 2
Let x(h) be the second derivative of h**6/150 - 3*h**5/100 + h**4/60 + h**3/10 - h**2/5 + 41*h + 1. Factor x(y).
(y - 2)*(y - 1)**2*(y + 1)/5
Let b(y) = y**3 - 5*y**2 - 12*y + 32. Let k be b(7). Suppose -20 + k = 13*i. Factor 1/2 - 1/2*u**i + 0*u.
-(u - 1)*(u + 1)/2
Determine i so that 24 - 8*i + 0*i - 3*i - 4*i**2 + 15*i = 0.
-2, 3
Let x(b) be the first derivative of -4*b**5/5 + 5*b**4 + 76*b**3/3 - 130*b**2 - 600*b - 264. Factor x(i).
-4*(i - 5)**2*(i + 2)*(i + 3)
Factor 4*n - 2/5*n**4 + 12/5*n**3 - 24/5*n**2 - 6/5.
-2*(n - 3)*(n - 1)**3/5
Let b(a) be the second derivative of a**7/840 - a**5/80 - a**4/48 - 3*a**2/2 + 17*a. Let s(g) be the first derivative of b(g). Let s(v) = 0. What is v?
-1, 0, 2
Let b(x) be the second derivative of x**7/504 - x**5/6 - 7*x**4/12 + 3*x. Let w(u) be the third derivative of b(u). Let w(k) = 0. Calculate k.
-2, 2
Let h(a) = -a - 1. Let m(y) = -y**2 - 6*y + 3. Let j = 17 - 20. Let o(x) = j*m(x) + 6*h(x). Factor o(b).
3*(b - 1)*(b + 5)
Let a be (-3120)/(-3003) - (-84)/(-98). Factor -a*g - 8/11*g**2 - 10/11*g**3 + 0 - 4/11*g**4.
-2*g*(g + 1)**2*(2*g + 1)/11
Let a be (-22)/6 + 3 + 676/546. Factor -4/7*w**3 + 0 - a*w - 8/7*w**2.
-4*w*(w + 1)**2/7
Let n(w) be the first derivative of -w**5/35 + w**3/7 - w**2/7 + 229. Factor n(k).
-k*(k - 1)**2*(k + 2)/7
Let x(d) be the first derivative of d**6/1800 - d**5/300 - d**4/40 - 5*d**3/3 + 2. Let i(t) be the third derivative of x(t). Let i(h) = 0. What is h?
-1, 3
Suppose 56*l - 58*l = -14. Let o(j) be the third derivative of 0 - 3*j**2 + 0*j - 1/4*j**4 - 1/70*j**l + 0*j**3 + 3/20*j**5 + 0*j**6. Solve o(n) = 0.
-2, 0, 1
Let x be (3 - 1) + 0 + (-6)/4. Let u(b) be the second derivative of 0 - 3*b + 1/4*b**4 - x*b**3 + 0*b**2. Factor u(q).
3*q*(q - 1)
Factor -87*w + 5*w**2 - 50 + 50 - 2*w**2 + 84.
3*(w - 28)*(w - 1)
Let s(u) be the second derivative of -u**9/20160 - 3*u**8/8960 + u**6/240 - u**4/2 + 5*u. Let g(p) be the third derivative of s(p). Find x such that g(x) = 0.
-2, 0, 1
Let m(s) be the second derivative of 8*s**7/21 - s**6/3 - 3*s**5/10 + 116*s. What is i in m(i) = 0?
-3/8, 0, 1
Let o(z) = -4*z - 33. Let c be o(15). Let m = c + 280/3. Factor -m*y + 0 + 1/6*y**4 + 1/3*y**3 - 1/6*y**2.
y*(y - 1)*(y + 1)*(y + 2)/6
Let s(c) = -c**5 - 5*c**4 - 7*c**3 + c**2 + 8*c + 9. Let j(u) = -u**5 - 5*u**4 - 7*u**3 + u**2 + 8*u + 10. Let r(n) = 5*j(n) - 6*s(n). Factor r(w).
(w - 1)*(w + 1)**2*(w + 2)**2
Let c(v) = v**4 - 10*v**3 - 16*v**2 + v + 15. Let m(b) = b**3 + b**2 - 1. Let z(x) = -4*c(x) - 36*m(x). Solve z(a) = 0.
-2, -1, 1, 3
Let z = 1551 + -7754/5. Find q, given that 1/5*q**4 - z + 2/5*q**3 - 2/5*q + 0*q**2 = 0.
-1, 1
Let n(j) be the first derivative of 2*j**4 + 0*j**5 - 2/3*j**6 + 0*j - 16 - 2*j**2 + 0*j**3. Let n(o) = 0. What is o?
-1, 0, 1
Let p = -147/34 - -82/17. Factor 0 + p*l - 1/2*l**3 + 0*l**2.
-l*(l - 1)*(l + 1)/2
Let k(r) be the first derivative of 24*r**5/25 + 5*r**4 - 8*r**3/15 - 10*r**2 - 16*r/5 + 5. What is m in k(m) = 0?
-4, -1, -1/6, 1
Let -30*l**3 - 92/9*l + 2/9*l**5 + 0 + 86/9*l**4 + 274/9*l**2 = 0. Calculate l.
-46, 0, 1
Let s(f) = 12*f**3 - 204*f**2 + 1106*f - 1764. Let y(h) = 4*h**3 - 68*h**2 + 369*h - 588. Let k(t) = -5*s(t) + 14*y(t). Factor k(q).
-4*(q - 7)**2*(q - 3)
Let s(m) = 3*m**2 + 26*m + 23. Let k(p) = 21*p**2 + 183*p + 162. Let l = -84 + 86. Let n(w) = l*k(w) - 15*s(w). Find f such that n(f) = 0.
-7, -1
Let g(z) be the second derivative of z**6/5 + 2*z**5 + 8*z**4 + 16*z**3 + 16*z**2 + 26*z + 1. Factor g(c).
2*(c + 2)**3*(3*c + 2)
Let m(s) be the second derivative of -5*s**7/42 + 2*s**6/3 - s**5 - 5*s**4/6 + 25*s**3/6 - 5*s**2 - 214*s. Determine o so that m(o) = 0.
-1, 1, 2
Suppose -11*b + 84 = -378. Let d be (b/18)/(1/((-18)/(-15))). Suppose -32/5*z**2 + 22/5*z + d*z**3 - 4/5 = 0. Calculate z.
2/7, 1
Let l = 25607/3 + -8529. Factor 4/3 + 8*g + l*g**2.
4*(g + 1)*(5*g + 1)/3
Let b be ((-27)/(-6))/(24/32). Factor 4*t**3 + 1 + b*t + 13*t**2 + 0*t**2 + 8*t**3 + 4*t**4.
(t + 1)**2*(2*t + 1)**2
Let q(b) be the third derivative of 13*b**2 + 0*b**3 + 0 + 1/60*b**6 + 13/120*b**5 + 1/16*b**4 + 0*b. Factor q(w).
w*(w + 3)*(4*w + 1)/2
Determine o, given that 140*o - 130*o**2 + 5*o**4 + 13 - 2*o**4 - 3*o**4 - 140*o**3 + 122 - 5*o**4 = 0.
-27, -1, 1
Determine r, given that 2*r**2 + 2*r**2 - 2*r**2 - 197*r + 147*r = 0.
0, 25
Suppose -5*m = -4*m + 5*o + 4, -20 = -3*m + o. Factor -2 + 9*v**2 + 11*v + 2 - m - 26*v.
3*(v - 2)*(3*v + 1)
Let b(q) be the first derivative of 2*q**5/5 + 9*q**4 - 80*q**3/3 + 33. Suppose b(h) = 0. Calculate h.
-20, 0, 2
Factor -2/7*m**4 + 6/7*m**3 - 8/7*m + 0 + 0*m**2.
-2*m*(m - 2)**2*(m + 1)/7
Let h(x) be the third derivative of 0 + 0*x - 10*x**2 + 10/3*x**4 + 0*x**3 - 2/3*x*