+ 0*w + 2*w - 4 = 0. Factor -7*r**j + r**5 + r**2 + r**2 - 2*r + 5*r**3 - 1 - r**4 + 3*r.
(r - 1)**3*(r + 1)**2
What is i in -961/4*i**2 - 729 - 837*i = 0?
-54/31
Let d(z) be the third derivative of -z**8/336 + 23*z**7/70 - 581*z**6/40 + 18767*z**5/60 - 2744*z**4 - 14406*z**3 + 9511*z**2. Suppose d(y) = 0. Calculate y.
-1, 14, 21
Let m(c) be the first derivative of c**5/20 + 21*c**4/16 + 33*c**3/4 + 135*c**2/8 - 1193. Determine l so that m(l) = 0.
-15, -3, 0
Let h = -72 + 77. Suppose u = -h*l + 25, -5*l = -6 - 14. Factor -12*s**3 - 7*s**2 + 4*s**u + 0*s**2 - 4*s**2 + 3*s**2.
4*s**2*(s - 2)*(s + 1)**2
Let n(o) be the second derivative of o**5/5 + 76*o**4/3 + 50*o**3 - 5*o + 206. Factor n(r).
4*r*(r + 1)*(r + 75)
Suppose 25 = h + 2*j, -4*h + 182*j = 187*j - 70. Determine d so that 2/11 + 16/11*d - 12/11*d**h + 24/11*d**2 - 4/11*d**3 - 26/11*d**4 = 0.
-1, -1/6, 1
Suppose -4*q + 131 = c + 23, 5*c = -3*q + 455. Let b = c - 351/4. Factor 9/2*x**2 + 7/4*x**3 + b*x**4 + 5*x + 2.
(x + 1)*(x + 2)**3/4
Suppose -53 = 116*m + 13*m - 311. Let 4/5*g**3 + 4/5*g**m - 2/5*g**4 - 2/5 - 2/5*g - 2/5*g**5 = 0. Calculate g.
-1, 1
Let a(d) be the first derivative of -5*d**4/4 - 560*d**3 + 3375*d**2/2 - 1690*d - 459. Factor a(r).
-5*(r - 1)**2*(r + 338)
Let d(l) = -1814*l - 3611. Let j be d(-2). Let c(u) be the first derivative of 9/2*u**2 - 6*u - j - u**3. Let c(i) = 0. Calculate i.
1, 2
Let w(h) be the second derivative of -h**6/30 + 275*h. Let a(z) = 6*z**4 + 6*z**3 + 2*z**2 - 6*z - 4. Let o(v) = a(v) + 4*w(v). Factor o(x).
2*(x - 1)*(x + 1)**2*(x + 2)
Let 0*k + 0 + 1/6*k**3 - 1/3*k**2 = 0. Calculate k.
0, 2
Let k(t) be the first derivative of t**4/12 + 223*t**3/9 + 443*t**2/6 + 221*t/3 + 4036. Factor k(g).
(g + 1)**2*(g + 221)/3
Let j(w) be the first derivative of -w**3/12 - 603*w**2/4 + 4355. Find u such that j(u) = 0.
-1206, 0
Let d be (-21)/(-52) - (-3 - (-11 - 1836/(-234))). Suppose -d*x + 0 + 1/4*x**2 = 0. Calculate x.
0, 1
Let q(y) = -y**2 - 2*y + 38. Let s be q(5). Solve 2*z + 2*z**5 - 7*z**4 - 72*z**2 + 34*z**3 - 19*z**4 - 2*z + 62*z**s = 0.
0, 1, 6
Let v(i) be the third derivative of 2*i + 1/110*i**5 + 0*i**3 + 1/66*i**4 + 0*i**6 - 1/1155*i**7 + 0 - 39*i**2. What is r in v(r) = 0?
-1, 0, 2
Factor -144 - t + 1/2*t**2.
(t - 18)*(t + 16)/2
Let m(y) be the third derivative of 3*y**6/280 + 26*y**5/105 + 11*y**4/14 - 40*y**3/21 + 1209*y**2. Factor m(f).
(f + 2)*(f + 10)*(9*f - 4)/7
Suppose 2 = 4*m + 2*x, -95*m - 3*x = -93*m - 3. Let y(i) be the third derivative of -1/9*i**4 - 14*i**2 + m*i - 8/9*i**3 + 0 - 1/180*i**5. Factor y(s).
-(s + 4)**2/3
Let a(y) = 2*y**2 - 5*y - 3. Let p be a(4). Let r = p - -2. Solve -3*l - 2*l**2 + r*l + 31 - 37 = 0.
1, 3
Let h(l) be the third derivative of 1/8*l**4 - 3/100*l**5 - l**2 + 0*l - 7 - 1/5*l**3. Suppose h(o) = 0. Calculate o.
2/3, 1
Suppose 0 = 3*v + 5*w - 2 - 12, 0 = -v + 5*w - 2. Let g be ((-28)/10)/1*-5. What is m in g*m**2 + 2 - 5*m**2 + m - 6*m - 5*m**2 - m**v = 0?
1, 2
Let 310*k - 96*k**2 + 341*k**2 - 616 - 88*k**2 - 80*k**2 - 78*k**2 = 0. Calculate k.
2, 308
Let j(a) be the second derivative of -a**7/231 - 8*a**6/165 + 59*a**5/110 - 41*a**4/33 - 4*a**3/3 + 104*a**2/11 - 7947*a. Determine y, given that j(y) = 0.
-13, -1, 2
Let x(s) be the third derivative of 13*s**7/210 + 59*s**6/30 + 467*s**5/20 + 1405*s**4/12 + 200*s**3/3 + 3431*s**2. Determine q so that x(q) = 0.
-8, -5, -2/13
Suppose 5*o + 8 = 7*o + 3*k, -12 = -3*o - k. What is j in 99*j - 28 + 3*j - 96*j**2 - 14*j - o*j**4 + 40*j**3 = 0?
1, 7
Let u(v) = 2*v**3 - 118*v**2 - 496*v - 510. Let r(n) = -3. Let f(q) = 2*r(q) - u(q). Determine d, given that f(d) = 0.
-2, 63
Suppose 0 = 2*s + 10 - 14. Solve -9*u - 2*u**2 + 13*u**2 - 12*u**2 + u**3 - 5*u**s + 14 = 0.
-2, 1, 7
Let 3136374*u + 1/2*u**3 + 1511732268 + 2169*u**2 = 0. Calculate u.
-1446
Let y(x) be the third derivative of 11/72*x**4 + 5/9*x**3 + 3*x**2 + 7*x + 1/180*x**5 + 0. Find t, given that y(t) = 0.
-10, -1
Let v(m) = m**2 - 200*m - 1994. Let s(o) be the second derivative of -o**4/6 - o**2 + 204*o. Let l(h) = 3*s(h) + v(h). Find t, given that l(t) = 0.
-20
Let n(a) be the first derivative of -a**7/56 + 13*a**6/36 - 17*a**5/8 - 25*a**4/6 - 74*a**3/3 - 137. Let r(s) be the third derivative of n(s). Factor r(v).
-5*(v - 5)*(v - 4)*(3*v + 1)
Let v = 253 - 251. Factor 52*z**3 - 48*z**v - z**5 + 16*z + 5*z**5 - 433*z**4 + 409*z**4.
4*z*(z - 2)**2*(z - 1)**2
Suppose -67*w + 30 = 66 - 36. Let g(q) be the first derivative of w*q**2 - 18 - 1/9*q**3 + 1/3*q. Factor g(b).
-(b - 1)*(b + 1)/3
Let h(c) be the third derivative of c**5/270 - 35*c**4/54 + 67*c**3/9 - 4*c**2 + 184. Factor h(f).
2*(f - 67)*(f - 3)/9
Let r(y) be the second derivative of -y**4/28 - 44*y**3/7 - 258*y**2/7 - 2565*y. Let r(w) = 0. Calculate w.
-86, -2
Let s = 63959 + -191876/3. Factor -s*f**3 + 0*f + 2/3*f**2 + 0.
-f**2*(f - 2)/3
Let f be (2/(-4) - (-6627)/846)*(82/32 + -2). Find w, given that -f*w**5 - 33/8*w + 33/4*w**3 + 3/4 + 3/4*w**4 - 3/2*w**2 = 0.
-1, 2/11, 1
Let d(n) be the second derivative of -1805*n**4/48 + 2375*n**3/6 - 3125*n**2/2 - 1414*n. Factor d(z).
-5*(19*z - 50)**2/4
Let o(f) be the second derivative of 0*f**2 + 0 + 3/20*f**5 - f**3 + 1/4*f**4 + 101*f. Factor o(a).
3*a*(a - 1)*(a + 2)
Let b(s) be the first derivative of s**5/28 - 23*s**4/28 + 9*s**3/14 - 15*s**2 + 65. Let x(q) be the second derivative of b(q). What is y in x(y) = 0?
1/5, 9
Let j = 1589801/10 + -158720. Determine c so that 459/10*c + 27/10 + 4913/10*c**3 + j*c**2 = 0.
-3/17
Let p(z) be the third derivative of -2*z**2 - 121/12*z**3 - 11/24*z**4 - 1/120*z**5 - 27 + 0*z. Solve p(h) = 0.
-11
Let c(u) = 123*u**3 - 4016*u**2 + 2013*u - 13. Let x(z) = 114*z**3 - 4017*z**2 + 2013*z - 12. Let p(g) = -12*c(g) + 13*x(g). Factor p(b).
3*b*(b - 671)*(2*b - 1)
What is u in -1088/7 + 304/7*u + 128/7*u**2 - 4/7*u**3 = 0?
-4, 2, 34
Suppose 4*y - 6 - 14 = 0. Suppose -3*h = -6*h + 9. Factor 64*u + 28*u**4 - 64 - 17*u**5 - 7*u**2 + 6*u**y + 7*u**5 - 64*u**h + 39*u**2.
-4*(u - 2)**4*(u + 1)
Let p(v) be the third derivative of 0*v**3 + v + 0 + 1/630*v**7 + 0*v**5 + 0*v**4 - 16*v**2 - 1/180*v**6. Factor p(r).
r**3*(r - 2)/3
Let o be ((-3)/7 - 1299/3031) + 564/70. Solve -16/5 - 52/5*i - o*i**2 = 0 for i.
-1, -4/9
Let a(d) = 2*d**2 + 54*d + 57. Let n be a(-26). Factor -38*f + 4*f**2 - n*f + 9*f - 42*f.
4*f*(f - 19)
Let v(q) = -15030*q**4 - 10595*q**3 - 411*q**2 - 9*q + 5. Let u(n) = 7518*n**4 + 5297*n**3 + 206*n**2 + 5*n - 3. Let y(b) = -5*u(b) - 3*v(b). Factor y(h).
h*(3*h + 2)*(50*h + 1)**2
Factor 51*x**2 + 6251 - 1749*x + 117*x**2 - 5765.
3*(7*x - 2)*(8*x - 81)
Suppose -14*k - 58*k + 146 = k. Let n(w) be the third derivative of 0*w**5 - 3/8*w**4 - w**3 - 39*w**k + 0 + 0*w + 1/40*w**6. Factor n(i).
3*(i - 2)*(i + 1)**2
Let c be (-2)/((-1232)/80 - -15). Let y(b) be the second derivative of -7/12*b**4 + 0*b**2 + 0 - 1/3*b**3 - c*b. Factor y(n).
-n*(7*n + 2)
Let x(j) be the third derivative of 2*j**7/105 + j**6/20 - j**5/3 - j**4 + 8*j**3/3 - 6499*j**2. Solve x(z) = 0 for z.
-2, 1/2, 2
Let i(h) = -h**2 + 22*h + 7. Let p be i(22). Let c(x) be the first derivative of -1/4*x**4 - 3*x + 1/2*x**2 + x**3 + p. Factor c(m).
-(m - 3)*(m - 1)*(m + 1)
Suppose 36 = -j - 4*s - 12, -3*j - 24 = 2*s. Determine r so that 6/7*r**2 - 6/7*r**4 + 0 - 16/7*r**3 + j*r = 0.
-3, 0, 1/3
Let n = 49 + -33. Let k = n - 8. Factor -9*r + 62*r**3 - 2 - 59*r**3 + k + 0.
3*(r - 1)**2*(r + 2)
Let h(a) be the first derivative of 15/4*a**4 + a**5 - 15/2*a**2 - 33 - 5/3*a**3 + 0*a. Determine m, given that h(m) = 0.
-3, -1, 0, 1
Let a(r) = -2*r**2 - 36*r + 43. Let w be a(-19). Let u(t) = 19*t**2 + 179*t + 117. Let l(i) = -9*i**2 - 89*i - 59. Let m(h) = w*l(h) + 3*u(h). Factor m(d).
4*(d + 7)*(3*d + 2)
Let p(c) = c**5 + 2*c**4 - c**3 - c**2 - 1. Let j(a) = -a**2 - 56 - 2*a + 5*a**3 + 61 + a. Let x(k) = 5*j(k) + 20*p(k). Solve x(b) = 0 for b.
-1, 1/2
Let -2/5*b**3 - 142*b - 86/5*b**2 - 330 = 0. What is b?
-33, -5
Let y(g) be the second derivative of g**5/60 - 136*g**4/3 + 74165*g**3/2 - 664225*g**2/3 + 3*g - 252. Factor y(o).
(o - 815)**2*(o - 2)/3
Factor -477*c**2 + 60 + 106*c + 238*c**2 - 18*c**3 + 269*c**2 - 2*c**4.
-2*(c - 3)*(c + 1)**2*(c + 10)
Solve -3176/21*u**2 - 2/21*u**4 - 704*u - 15488/21 + 8*u**3 = 0 for u.
-2,