x**2 - 3*x**3.
-x**2*(x + 2)
Let l(r) be the second derivative of r**7/63 - 34*r**6/45 + 48*r**5/5 + 17*r**4/9 - 289*r**3/9 + 126*r - 2. Solve l(d) = 0.
-1, 0, 1, 17
Let z = -179749 + 179752. Find q, given that -1/6*q**4 - 1/3*q - 5/2 + 8/3*q**2 + 1/3*q**z = 0.
-3, -1, 1, 5
Find f such that 2*f**5 + 26*f**4 + 405*f - 405*f - 1755*f**3 - 56*f**2 + 1723*f**3 = 0.
-14, -1, 0, 2
Suppose -f = -15 + 12. Factor 63*d**3 - 5*d**4 + 60*d - 13*d**f - 80*d**2 - 15*d**3.
-5*d*(d - 3)*(d - 2)**2
Let z(b) be the second derivative of -b**4/24 + 3*b**3/2 + 19*b**2/4 - 1262*b. What is n in z(n) = 0?
-1, 19
Let f(w) = 135*w**4 - 70*w**3 - 240*w**2 + 120*w + 255. Let x(z) = 11*z**4 - 6*z**3 - 20*z**2 + 10*z + 21. Let v(a) = -2*f(a) + 25*x(a). Factor v(c).
5*(c - 3)*(c - 1)*(c + 1)**2
Let j be (0 - 6 - -10)/(-5 - -11). Let k(n) be the third derivative of 0 + 15*n**2 + 1/15*n**5 - j*n**4 + 8/3*n**3 + 0*n. Factor k(f).
4*(f - 2)**2
Let k(t) be the second derivative of t**4/6 + 203*t**3/12 + 75*t**2/2 + 1052*t. Suppose k(a) = 0. Calculate a.
-50, -3/4
Suppose m = -5*c - 42 + 592, 570 = 5*c - 3*m. Let h = c - 95. Solve 3*u**3 - h*u + 9*u**3 + 0*u**3 + 4*u**4 = 0 for u.
-2, 0, 1
Let t be 6*(-14)/(-6)*(-78)/(-273). Let w(y) be the second derivative of 0*y**2 - 1/120*y**5 + 0 - 1/18*y**3 - 7*y - 1/24*y**t. Factor w(i).
-i*(i + 1)*(i + 2)/6
Let m(z) be the third derivative of z**8/840 - 46*z**7/105 + 4331*z**6/100 + 2668*z**5/15 + 3364*z**4/15 + 5832*z**2. Factor m(f).
2*f*(f - 116)**2*(f + 1)**2/5
Let o(z) be the first derivative of 5*z**7/42 - z**6/2 - 5*z**5/4 + 5*z**4/4 + 10*z**3/3 + 84*z - 84. Let r(m) be the first derivative of o(m). Factor r(f).
5*f*(f - 4)*(f - 1)*(f + 1)**2
Let a(n) be the first derivative of 4*n**3/15 + 238*n**2 - 4776*n/5 + 2617. Determine c, given that a(c) = 0.
-597, 2
Let b be (-8)/(-6) + 18/27. Let 2*m**2 + 7*m**b - 35*m - 72 + 5*m - 6*m**2 = 0. Calculate m.
-2, 12
Let c(d) be the first derivative of -2*d**3/7 - 2283*d**2/14 - 1140*d/7 + 1050. Find v, given that c(v) = 0.
-380, -1/2
Let p(i) be the second derivative of 0*i**3 + 22/21*i**7 + 3*i**5 + 1 + 0*i**2 - 16/5*i**6 - 2/3*i**4 + 12*i. Factor p(j).
4*j**2*(j - 1)**2*(11*j - 2)
Let f(a) be the third derivative of 103/75*a**6 + 23/525*a**7 + 396/5*a**4 + 0 - a**2 + 58*a + 408/25*a**5 - 144/5*a**3. What is n in f(n) = 0?
-6, 2/23
Let w(v) be the first derivative of -v**6/120 - v**5/12 - 7*v**4/24 - v**3/2 - v**2/2 - 39*v - 78. Let b(a) be the second derivative of w(a). Factor b(n).
-(n + 1)**2*(n + 3)
Factor -108 + 110*v + 248*v**2 + 57*v**3 + 22*v + 32*v**3 + 55*v**2 + 16*v**3.
3*(v + 2)*(5*v - 2)*(7*v + 9)
Factor 0 + 4/5*d**3 + 2*d + 22/5*d**2.
2*d*(d + 5)*(2*d + 1)/5
Let c = 134 + -132. Suppose 47*p**c - 45*p**2 - 16 + 9*p + 5*p = 0. What is p?
-8, 1
Let h(f) be the second derivative of f**6/240 - f**5/15 - 3*f**4/16 - 7*f**2 - 58*f. Let d(a) be the first derivative of h(a). Factor d(z).
z*(z - 9)*(z + 1)/2
Let n be (-80)/8 - -5 - (-8 + (7 - 8)). Let p(q) be the second derivative of 32/3*q**3 + 5/3*q**n + 29*q + 6*q**2 + 0. Suppose p(j) = 0. What is j?
-3, -1/5
Let s = -22808/105 - -1955/9. Let b(a) be the third derivative of 0*a + 0*a**3 - 1/90*a**5 - 1/90*a**6 + 0 - 16*a**2 - s*a**7 + 0*a**4. Factor b(m).
-2*m**2*(m + 1)**2/3
Let o(k) = 228*k - 1824. Let c be o(8). Let a(g) be the third derivative of c + 0*g**3 + 18*g**2 - 1/60*g**6 - 1/12*g**4 + 0*g + 1/15*g**5. Factor a(r).
-2*r*(r - 1)**2
Let p be 2 - (-17 - (0 - -1)). Let -33*a + 19*a + p*a - 2*a**2 = 0. Calculate a.
0, 3
Let z(o) be the second derivative of -o**9/20160 + o**8/896 - 3*o**7/1120 - o**4/6 - 85*o**3/6 - 59*o. Let b(a) be the third derivative of z(a). Factor b(v).
-3*v**2*(v - 9)*(v - 1)/4
Let j(z) = -z**3 - 125*z**2 + 509*z - 903. Let r be j(-129). Factor r - o**3 + 1/6*o**5 + 16/3*o + 16/3*o**2 - 5/6*o**4.
o*(o - 4)**2*(o + 1)*(o + 2)/6
Let f(n) be the third derivative of -n**8/252 - 2*n**7/35 - n**6/10 + 41*n**5/45 + 7*n**4/3 - 241*n**2 - 2. Suppose f(m) = 0. Calculate m.
-7, -3, -1, 0, 2
Determine l, given that -40*l**2 + 81*l + 0 - 1/4*l**3 = 0.
-162, 0, 2
Let g(j) = 74*j**2 - 2. Let y be g(1). Suppose 18*o - 14*o = y. Find z, given that -389*z**4 + 11*z + 421*z**4 + 2*z - 46*z**2 - 16*z**3 + o - z = 0.
-3/4, 1
Let u(l) be the first derivative of 13 - 1/330*l**5 + 1/66*l**4 - 19/2*l**2 + 0*l + 0*l**3. Let h(b) be the second derivative of u(b). What is r in h(r) = 0?
0, 2
Let n = -7845 + 23545/3. Let s(t) be the second derivative of -5/6*t**4 + n*t**3 - t**5 - 1/6*t**6 - t + 15/2*t**2 + 0. Factor s(b).
-5*(b - 1)*(b + 1)**2*(b + 3)
Suppose -2*u + 2 = 2*h, -h - 2*h - 13 = -5*u. Factor 66*m**2 - 6 - 30 + 76*m**u + 140*m - 26*m**2 + 60.
4*(m + 1)*(29*m + 6)
Let t(s) = -11*s**2 + 7*s**2 - 2 + 5*s**2 - 3*s. Let v be t(4). Let f(z) = 1. Let x(i) = 4*i**4 - 12*i**3 - 2. Let w(l) = v*f(l) + x(l). Factor w(n).
4*n**3*(n - 3)
Let c(o) be the third derivative of 25*o**8/112 - 79*o**7/42 + 21*o**6/4 - 3*o**5 - 25*o**4/3 + 543*o**2. Find k, given that c(k) = 0.
-2/5, 0, 5/3, 2
Let v be 2/(-8) + (-125)/(-20). Suppose -2*o - v = -10. What is x in -45*x**o + 35*x + 0*x**4 - 10 - 4*x**4 - 70*x**3 + 95*x**3 - x**4 = 0?
1, 2
Let g(s) be the second derivative of -s**6/10 - 399*s**5/2 - 147186*s**4 - 43172784*s**3 + 262585152*s**2 + 1382*s + 2. Suppose g(z) = 0. Calculate z.
-444, 2
Let w(y) be the first derivative of 0*y + 5/6*y**6 + 2*y**5 - 10/3*y**3 - 5/4*y**4 - 72 + 0*y**2. Find t, given that w(t) = 0.
-2, -1, 0, 1
Suppose a = -3*v - v + 912, 3*a + 928 = 4*v. Let g = v + -4807/21. Factor -50/21 - g*m**2 + 20/21*m.
-2*(m - 5)**2/21
Let w(y) be the second derivative of -14*y**6/15 + 5*y**5 - 16*y**4/3 - 8*y**3 - 3406*y. Factor w(j).
-4*j*(j - 2)**2*(7*j + 3)
Suppose 41*o - 20*o = 26*o. Let r(b) be the third derivative of o*b**3 + 1/420*b**7 - 1/30*b**5 + 0*b + 1/6*b**4 + 0 - 1/120*b**6 - 7*b**2. Factor r(w).
w*(w - 2)**2*(w + 2)/2
Solve -119 + 1260*o - 1664*o + 7*o**2 + 44 - 41 = 0 for o.
-2/7, 58
Let x(p) = -244*p**3 + 2477*p**2 - 3950*p - 83. Let r(a) = -246*a**3 + 2483*a**2 - 3950*a - 82. Let v(z) = -3*r(z) + 2*x(z). Factor v(u).
5*(u - 8)*(u - 2)*(50*u + 1)
Let y(q) = 3*q**3 + 399*q**2 + 1854*q + 1482. Let u(a) = 80*a**3 + 10775*a**2 + 50050*a + 40015. Let k(n) = -2*u(n) + 55*y(n). Determine r so that k(r) = 0.
-74, -4, -1
Find r such that -4*r**2 - 110752 + 193*r + 62493 - 75645 - 1601*r = 0.
-176
Let k(m) be the third derivative of -5*m**8/1344 - m**7/12 - 3*m**6/4 - 10*m**5/3 - 20*m**4/3 - 2438*m**2. Factor k(x).
-5*x*(x + 2)*(x + 4)**3/4
Let d(q) be the third derivative of q**7/735 - q**6/30 + 5*q**5/42 - q**4/7 + 1522*q**2. Let d(o) = 0. Calculate o.
0, 1, 12
Let h = 63852/7555 + -78/1511. Factor h + 3/5*o**2 + 27/5*o.
3*(o + 2)*(o + 7)/5
Let d(t) be the third derivative of -97*t**2 - 1/8*t**4 + 0*t + t**3 + 0 + 1/180*t**5. Determine c, given that d(c) = 0.
3, 6
Let k(y) = y**2 + 120*y - 26326. Let p be k(113). Solve 1/5*b**5 - 3 + 53/5*b - 14*b**2 - 11/5*b**4 + 42/5*b**p = 0 for b.
1, 3, 5
Let g = 566/27 + -125/6. Let i(j) be the second derivative of 0 + 0*j**3 - 1/15*j**5 + 0*j**2 - 1/135*j**6 + 2*j + g*j**4. Factor i(w).
-2*w**2*(w - 1)*(w + 7)/9
Suppose 2*y + 50 + 58 = 4*v, 0 = 3*y - 12. Let r = 33 - v. Factor -2*b**2 - 6*b**3 - 8*b**3 + r + 12*b**3 - 2*b**2 + 2*b.
-2*(b - 1)*(b + 1)*(b + 2)
Let d(s) be the third derivative of -16*s**7/525 + 34*s**6/75 - 313*s**5/150 - s**4/4 + 30*s**3 + 58*s**2 + 3. Let d(y) = 0. Calculate y.
-1, 2, 15/4
Let u(p) be the third derivative of -p**5/210 - 19*p**4/28 - 470*p**3/21 + 1009*p**2 + 2*p. Factor u(l).
-2*(l + 10)*(l + 47)/7
Factor -620/3 + 2/9*q**3 - 934/9*q + 928/9*q**2.
2*(q - 2)*(q + 1)*(q + 465)/9
Suppose -2*t - 42*z + 40*z = 20, 0 = -6*t + 3*z + 30. Factor 2/19*p**4 + 0 + t*p**2 + 0*p - 6/19*p**3.
2*p**3*(p - 3)/19
Suppose -4*m = -140*a + 139*a, 3*a = -m + 26. What is k in 0 + 1/4*k**3 + 11/4*k**m - 3*k = 0?
-12, 0, 1
Let k(w) be the third derivative of -w**7/525 - 13*w**6/50 - 747*w**5/50 - 468*w**4 - 8640*w**3 + 1595*w**2. Factor k(m).
-2*(m + 15)**2*(m + 24)**2/5
Factor -113*o**2 + 2010 - 61*o**2 - 14118536*o**3 - 1839*o + 14118539*o**3.
3*(o - 67)*(o - 1)*(o + 10)
Suppose -10 - 11 = -2*x - 3*r, 5 = 5*r. Suppose -4*m - 3*c + x = 0, 5*m + c + 7 = 21. Factor -6*s**2 