
(j - 2)**2*(j + 1)*(j + 2)**2
Factor 0 + 8/7*y**2 + 8/7*y**3 - 2/7*y**4 - 32/7*y.
-2*y*(y - 4)*(y - 2)*(y + 2)/7
Let y(w) be the third derivative of w**8/14112 + w**7/5880 - w**5/20 - 11*w**2. Let f(p) be the third derivative of y(p). Determine r, given that f(r) = 0.
-3/5, 0
Let o(w) = 4*w + 2*w**2 + 3 + 109*w**3 + 0*w - 108*w**3. Let h be o(-1). Let h - 3/4*f**2 - 3/4*f = 0. Calculate f.
-1, 0
Find a such that -10/9*a**3 - 2/9*a**4 + 10/9*a + 0 + 2/9*a**2 = 0.
-5, -1, 0, 1
Let d(y) be the first derivative of 2*y**2 + 1 + 7/6*y**4 + 3*y - 3*y**3. Let o(r) be the first derivative of d(r). Suppose o(t) = 0. Calculate t.
2/7, 1
Let d(i) be the first derivative of i**6/2 - 36*i**5/5 + 159*i**4/4 - 102*i**3 + 108*i**2 + 152. Determine w so that d(w) = 0.
0, 2, 3, 4
Suppose -4*g + 28 = -5*t, 6 + 6 = 4*g - t. Let b = -17/181 + 809/905. Let 3/5*i**g + 1/5*i**3 + 0*i - b = 0. What is i?
-2, 1
Let c be (-15)/18 + 13/15. Let o(f) be the third derivative of 2*f**2 - 1/3*f**3 - 1/6*f**4 + 0 + 0*f - c*f**5. Determine i so that o(i) = 0.
-1
Solve 57*a**2 - 19*a**3 - 1524 - 33*a + 7*a**3 + 1512 = 0 for a.
-1/4, 1, 4
Let y(j) = j**2 - 10*j + 25. Let q be y(7). Factor 4*o**3 + 19*o**5 + 10*o**5 + q*o**4 - 33*o**5 - 4*o**2.
-4*o**2*(o - 1)**2*(o + 1)
Let i(c) be the second derivative of -9*c + 11/36*c**4 + 1/60*c**5 + 19/18*c**3 + 3/2*c**2 + 0. Factor i(k).
(k + 1)**2*(k + 9)/3
Let n(o) be the first derivative of o**8/1560 + o**7/455 - o**6/585 + o**3/3 - 4. Let d(j) be the third derivative of n(j). Determine z, given that d(z) = 0.
-2, 0, 2/7
Let z(w) be the second derivative of w**6/10 + 3*w**5/20 - w**4/2 - 403*w + 1. Factor z(k).
3*k**2*(k - 1)*(k + 2)
Suppose 17 = 2*r - 1. Let o = -52680 + 52683. Find j such that -r*j - 21/4*j**2 + o = 0.
-2, 2/7
Suppose 11*n = 23 - 1. Let f be 3/(3*1/2). Factor 4*s - 4*s**2 + 6*s**n - 2 - 3*s**f - s.
-(s - 2)*(s - 1)
Let m(k) = -k**2 + 32*k - 73. Let c(z) = -12*z**2 + 417*z - 948. Suppose -37 + 43 = -3*a. Let u(q) = a*c(q) + 27*m(q). Let u(p) = 0. Calculate p.
5
Let u(z) be the second derivative of -z**5/54 - z**4/54 - 10*z**2 - 9*z. Let a(t) be the first derivative of u(t). Solve a(f) = 0 for f.
-2/5, 0
Let o(p) be the second derivative of -11*p**4/42 + 2*p**3/7 + 474*p. Find i such that o(i) = 0.
0, 6/11
Let j be (5 + 3)/24 + (4 - 6/2). Determine u, given that j*u**3 - 5/3*u + 0 + 2*u**4 - 2*u**2 + 1/3*u**5 = 0.
-5, -1, 0, 1
Suppose -15 = -3*w, -2*w + 6 - 1 = -n. Let y(c) be the first derivative of -1/15*c**6 + 1 + 1/5*c**4 + 0*c**3 + 0*c - 1/5*c**2 + 0*c**n. Factor y(i).
-2*i*(i - 1)**2*(i + 1)**2/5
Let c = 33 - 31. Let k(b) be the first derivative of c*b + 1 + 5*b**2 + 8/3*b**3. Factor k(a).
2*(a + 1)*(4*a + 1)
Suppose 116 = 12*i - 136. Let a be 2/(98/i) + (-36)/(-14). Factor -2/7 - 2/7*w + 2/7*w**a + 2/7*w**2.
2*(w - 1)*(w + 1)**2/7
Let s(f) = f**4 + 55*f**3 - 182*f**2 - 256*f + 5. Let j(c) = -2*c**4 - 138*c**3 + 456*c**2 + 640*c - 12. Let a(t) = -5*j(t) - 12*s(t). Factor a(m).
-2*m*(m - 8)**2*(m + 1)
Let g(j) = 2*j + 11. Let z be g(-7). Let a(q) = -q**2 - 6*q - 4. Let h be a(z). Suppose -11*i**4 + 4*i + 7*i**5 - 3*i**h - 8*i**3 + 11*i**4 = 0. Calculate i.
-1, 0, 1
Let t = 3/2968 + 1475/8904. Factor h + t*h**2 + 3/2.
(h + 3)**2/6
Let m(r) be the first derivative of 3/2*r**2 - 1/12*r**4 - 1/3*r**3 + 14 - 3*r. Let w(t) be the first derivative of m(t). Factor w(y).
-(y - 1)*(y + 3)
Let s(u) be the second derivative of -u**4/4 - 6*u**3 + 39*u**2/2 + 138*u. Factor s(j).
-3*(j - 1)*(j + 13)
Let x be 2/(-28)*(1 + (-95)/60). Let j(a) be the second derivative of -2*a + x*a**4 + 1/20*a**5 + 0 + 0*a**2 + 0*a**3. Suppose j(g) = 0. Calculate g.
-1/2, 0
Let q(x) be the first derivative of 0*x + 34 + 2/11*x**2 + 2/33*x**3. Find u, given that q(u) = 0.
-2, 0
Let d be -10 + (-8 + 4 - -14). Let d*v - 2/9*v**2 - 2/9*v**3 + 0 = 0. What is v?
-1, 0
Let k(s) be the third derivative of -s**5/270 - 23*s**4/54 - 529*s**3/27 + 56*s**2. Factor k(o).
-2*(o + 23)**2/9
Let t(x) be the second derivative of 1/8*x**4 + 0*x**3 + 3*x + 5 + 0*x**2 - 1/40*x**5. Factor t(i).
-i**2*(i - 3)/2
Determine a, given that 32/3*a - 98/9*a**2 + 2/9*a**3 + 0 = 0.
0, 1, 48
Let h(k) be the first derivative of -27*k**6/5 - 9*k**5/25 + 1081*k**4/20 - 958*k**3/15 + 134*k**2/5 - 24*k/5 - 210. Determine x so that h(x) = 0.
-3, 2/9, 1/2, 2
Let w(y) be the first derivative of y**4/14 + 16*y**3 + 1344*y**2 + 50176*y + 17. What is r in w(r) = 0?
-56
Let d(l) be the third derivative of l**6/30 + 14*l**5/5 + 98*l**4 + 5488*l**3/3 - 35*l**2 + l. Suppose d(r) = 0. What is r?
-14
Let f = 6089/4788 + -26/1197. Factor -7/4*i**3 + 0*i + 0 + 3/2*i**2 - f*i**4.
-i**2*(i + 2)*(5*i - 3)/4
Let c(b) = 8*b - 2. Let x(l) = l**2 + l + 1. Let n(i) = c(i) + 2*x(i). Factor n(q).
2*q*(q + 5)
Suppose -14*n + 7*n = -112. Let o be (n/60)/(4/6) - 0. Let 4/5*h - o - 2/5*h**2 = 0. Calculate h.
1
Let l(d) be the second derivative of -5/2*d**2 + 1/10*d**4 + 0 - 3/5*d**3 - 1/150*d**5 - 4*d. Let k(g) be the first derivative of l(g). Factor k(u).
-2*(u - 3)**2/5
Let k(m) be the first derivative of 19/2*m**2 + 2*m + 16/5*m**5 - 5 + 19*m**3 + 14*m**4. Factor k(a).
(a + 1)*(a + 2)*(4*a + 1)**2
Factor -53138/5 - 652/5*m - 2/5*m**2.
-2*(m + 163)**2/5
Let w(u) be the third derivative of u**7/420 - u**6/120 - 19*u**5/120 - 7*u**4/12 - u**3 - 67*u**2. Factor w(x).
(x - 6)*(x + 1)**2*(x + 2)/2
Let a(c) be the second derivative of 3/2*c**3 + 31*c + 0 + 5/4*c**4 - 27/2*c**2 + 3/20*c**5. Factor a(m).
3*(m - 1)*(m + 3)**2
Let h(p) be the third derivative of -7/24*p**8 + 2/3*p**7 + 0*p**3 + 3 + 46/15*p**5 + 0*p + 7*p**2 + 199/60*p**6 + p**4. Determine i, given that h(i) = 0.
-1, -2/7, 0, 3
Let w be ((-6)/20)/((-15)/150)*2. Let z(b) be the third derivative of 1/420*b**w + b**2 + 0 + 0*b + 1/7*b**4 - 8/21*b**3 - 1/35*b**5. What is p in z(p) = 0?
2
Let t(n) be the first derivative of 2*n**3/33 + 6*n**2 - 339. Let t(x) = 0. What is x?
-66, 0
Let c(i) be the first derivative of 10/9*i**5 + 14/27*i**6 - 12 + 0*i**2 + 0*i + 4/27*i**3 + 13/18*i**4. Solve c(s) = 0 for s.
-1, -1/2, -2/7, 0
Find a, given that 30/11 + 2/11*a**5 - 36/11*a**3 - 94/11*a - 2/11*a**4 + 100/11*a**2 = 0.
-5, 1, 3
Let a(f) be the second derivative of -f**7/315 + f**6/180 + f**5/90 - f**4/36 - 9*f**2/2 + 8*f. Let t(p) be the first derivative of a(p). Factor t(w).
-2*w*(w - 1)**2*(w + 1)/3
Let p(m) be the first derivative of m**6/120 - 3*m**5/40 + m**4/4 + m**3/3 + 11. Let u(t) be the third derivative of p(t). Solve u(b) = 0.
1, 2
Suppose n = -3*y + 5, 6*n - y - 5 = 3*n. Let g(q) be the first derivative of -6 - q + 1/4*q**5 + 9/8*q**4 + 0*q**n + 17/12*q**3. Let g(w) = 0. Calculate w.
-2, -1, 2/5
Let -4*t**2 + 14*t - 4*t**2 + 583*t**3 + 20 - 585*t**3 = 0. What is t?
-5, -1, 2
Suppose 2*n - 5 = -0*n - 3*j, n = -5*j + 13. Let v be (-573)/(-9) + n/(-6). Factor -142*u - 1200*u**4 - 78*u - 12 - 747*u**2 + v*u - 1560*u**3.
-3*(4*u + 1)**2*(5*u + 2)**2
Let t be 266/(-5054) - (-52)/266. Factor -1/7*r**5 + t*r**4 + 0 - 1/7*r**2 + 0*r + 1/7*r**3.
-r**2*(r - 1)**2*(r + 1)/7
Let c(z) be the second derivative of z**4/6 - 14*z**3/3 - 15*z**2 - z + 69. Find j, given that c(j) = 0.
-1, 15
Let q be (-22)/(-1650)*156 + (-2)/25. Find b such that -2/3*b**3 + q*b**2 + 2/3 - 2*b = 0.
1
Determine g so that -2/7*g**4 + 0 + 4/7*g**2 + 0*g + 2/7*g**3 = 0.
-1, 0, 2
Let f(r) be the second derivative of 6/5*r**2 - 31*r - 1/30*r**4 + 0 + 1/3*r**3. Find m such that f(m) = 0.
-1, 6
Suppose 29*n - 310 = 27*n. Solve 152*h + n*h - 4*h**2 - 303*h + 8 = 0 for h.
-1, 2
Let n(o) = -5*o**3 - 38*o**2 + 59*o + 88. Let w(r) = -5*r**3 - 37*r**2 + 61*r + 87. Let j(k) = -3*n(k) + 2*w(k). Let j(t) = 0. What is t?
-9, -1, 2
Suppose 47*u - 50 - 91 = 0. Let k(l) be the first derivative of -2/11*l - 1/11*l**2 - 12 + 1/22*l**4 + 2/33*l**u. Factor k(n).
2*(n - 1)*(n + 1)**2/11
Let c(t) be the third derivative of -44*t**2 + 0 + 0*t + 1/44*t**4 + 3/11*t**3 - 1/66*t**5 + 1/660*t**6. Factor c(y).
2*(y - 3)**2*(y + 1)/11
Let i = 8540 - 93938/11. Factor -i*p**5 + 0*p + 0 - 6/11*p**3 - 6/11*p**4 - 2/11*p**2.
-2*p**2*(p + 1)**3/11
Let m(w) = 3*w + 40. Let j be m(-12). Suppose 10 = 3*v + 4*a, 7*a - 2*a = -j*v + 13. Determine g, given that 2/3*g**3 - 1/3*g**v + 0*g - 1/3*g**4 + 0 = 0.
0, 1
Let u(z) be the third deri