 4)**2*(s - 3)**2
Suppose 14*a + 198 + 1272 = 0. Let k be ((-93)/a - (-12)/(-20)) + 1. Factor 0 - 3/7*u**4 - 3/7*u - k*u**3 - 9/7*u**2.
-3*u*(u + 1)**3/7
Let n(r) be the second derivative of r**5/15 + r**4/9 - 16*r**3/3 + 24*r**2 - 2957*r + 1. Let n(k) = 0. Calculate k.
-6, 2, 3
Let -2*v**2 - 4 - 1045*v + 10*v**2 + 0*v**2 + 1054*v - 41 = 0. What is v?
-3, 15/8
Let b(v) be the first derivative of 8 + 0*v + 1/5*v**3 + 3/10*v**2. Factor b(c).
3*c*(c + 1)/5
Let d be -12 + 532/16 + 6 + -24. Suppose -3/4*h + d*h**2 + h**4 - 4*h**3 + 0 = 0. Calculate h.
0, 1/2, 3
Suppose 0 = -2*i + 41*u - 44*u - 8, 2 = 3*i + u. Factor 31*t**i - 1311 + 1311 + 55*t**3 - 10*t**4 + 29*t**2 - 5*t**5 - 180*t.
-5*t*(t - 2)**2*(t + 3)**2
Factor -74 - 74 + 5846*a**2 - 5845*a**2 + 7*a + 26*a.
(a - 4)*(a + 37)
Suppose 9*s - 1804 = -1777. Suppose -18/11*m**2 - 10/11*m**s + 4/11*m + 0 = 0. Calculate m.
-2, 0, 1/5
Let n(u) = -36*u**2 + 99*u - 99. Let l(f) = -f**3 + 36*f**2 - 102*f + 98. Let m(c) = 3*l(c) + 2*n(c). Factor m(t).
-3*(t - 8)*(t - 2)**2
Factor 2*s - 2*s - 156*s**2 - 21*s**4 - 9*s**3 + 22*s**4 + 178*s**2 - 32.
(s - 4)**2*(s - 2)*(s + 1)
Factor 3755*l**2 + 48 + 5*l - 3*l - 18*l + 4*l**3 - 3767*l**2.
4*(l - 3)*(l - 2)*(l + 2)
Let b(j) be the second derivative of -j**5/5 - 14*j**4/3 + 62*j**3/3 - 32*j**2 + 78*j + 15. Factor b(c).
-4*(c - 1)**2*(c + 16)
Let m(n) = -5*n**2 + 180*n - 384. Let o(w) = -15*w**2 + 360*w - 770. Let b(g) = 5*m(g) - 2*o(g). Determine i, given that b(i) = 0.
-38, 2
Let k(j) = j**4 + j**3 - j**2 - 2*j + 2. Let z(u) = -u**4 - 37*u**2 + 72*u - 36. Let w(v) = -2*k(v) - z(v). Factor w(y).
-(y - 4)*(y - 1)**2*(y + 8)
Factor -5*s**2 + 1469*s + 2*s**5 + 3*s**4 + 3*s**3 - 741*s - 732*s - s**5 + 2*s**4.
s*(s - 1)*(s + 1)**2*(s + 4)
Determine m so that 123/5*m - 108 - 3/5*m**2 = 0.
5, 36
Solve -1608*y + 146*y**3 - 2000*y**3 + 414*y**3 - 628*y**3 - 1372*y**4 + 5068*y**2 - 20*y**5 = 0.
-67, -3, 0, 2/5, 1
Let l(p) be the third derivative of -p**9/332640 - p**8/27720 + p**7/2310 + 5*p**5/3 - p**2 - 18*p. Let n(v) be the third derivative of l(v). Factor n(q).
-2*q*(q - 2)*(q + 6)/11
Suppose 4*k - 38 = -4*j - 2, 0 = 2*k - 2. Factor 3*b**2 - 72 + 225 - 97*b + j*b - 67*b.
3*(b - 51)*(b - 1)
Let b(k) be the third derivative of 0*k**3 - 1/24*k**6 + 0 + 10*k - 1/5*k**5 - 10*k**2 - 1/6*k**4. Determine a so that b(a) = 0.
-2, -2/5, 0
Suppose 3*x - 24 = 0, -133 = -3*i - 1246*x + 1241*x. Let p(n) be the first derivative of 12*n - 3/4*n**4 - 12*n**2 + 5*n**3 + i. Suppose p(b) = 0. What is b?
1, 2
Let b be ((-556)/(-417))/(4/9). Let u(f) be the second derivative of -23*f - 10/3*f**b + 0 + 17/5*f**5 - 12*f**2 + 13/3*f**4 + 2/3*f**6. Solve u(z) = 0 for z.
-2, -1, 3/5
Let l = 647461/5 + -129491. Factor -63/5*i**3 + 0 - 3*i**5 - l*i + 33/5*i**2 + 51/5*i**4.
-3*i*(i - 1)**3*(5*i - 2)/5
Let b = 16417/98646 - -4/16441. Let g(j) be the first derivative of 10 - b*j**2 + 0*j - 5/18*j**3 - 2/15*j**5 + 11/24*j**4. Find h, given that g(h) = 0.
-1/4, 0, 1, 2
Let x = 402602/5 + -80520. Factor 8/5*k - x*k**2 - 6/5.
-2*(k - 3)*(k - 1)/5
Let g(q) be the first derivative of 1/90*q**6 + 4/45*q**5 + 4/3*q**3 + 0*q - 3*q**2 - 11/18*q**4 + 17. Let n(i) be the second derivative of g(i). Factor n(r).
4*(r - 1)**2*(r + 6)/3
Let i(d) be the third derivative of 25/4*d**4 + 0 - 2*d**2 - 1/12*d**5 - 375/2*d**3 + 45*d. Factor i(k).
-5*(k - 15)**2
Suppose 388*p - 2438 - 1344 = -1503*p. Determine a so that 16 - 4/3*a**p - 4/3*a = 0.
-4, 3
Let y(s) be the second derivative of -s**7/42 - s**6/30 + 6*s**5/5 + 22*s**4/3 + 56*s**3/3 + 24*s**2 - 341*s. Determine h so that y(h) = 0.
-2, -1, 6
Factor -33*o**2 + 13*o + 18*o + o**3 - 5*o**2 + 6*o**2.
o*(o - 31)*(o - 1)
Let r(d) = 2*d + 11*d**4 - 1 + 2*d**2 + 13*d**5 - 16*d**5 - 9*d**5 + 3. Let i(j) = -j**3 - j**2 - j - 1. Let s(n) = -4*i(n) - 2*r(n). Factor s(k).
2*k**3*(3*k - 2)*(4*k - 1)
Let h = 7495/528 - 155/11. Let z(n) be the third derivative of -1/3*n**3 + h*n**4 + 1/420*n**7 + 1/40*n**5 + 0 + 0*n - 1/48*n**6 - 14*n**2. Factor z(l).
(l - 4)*(l - 1)**2*(l + 1)/2
Factor 72/7 + 164/7*b**2 + 52/7*b**3 + 4/7*b**4 + 188/7*b.
4*(b + 1)**2*(b + 2)*(b + 9)/7
Suppose 36 = 7*r - 90. Factor -32*m**2 - 12*m**4 - 2 - 1 - r*m**3 + 10*m**2 - m**5 + 5*m**4 + 4*m - 17*m.
-(m + 1)**4*(m + 3)
Let w be ((32/10)/4)/(1254/18525). Factor 58/11*c**3 + w*c**2 + 0 + 6/11*c**4 - 50/11*c.
2*c*(c + 5)**2*(3*c - 1)/11
Let o = 696 - 399. Factor -3*n**3 - 87 + 63*n**2 - 200 - o*n - 76.
-3*(n - 11)**2*(n + 1)
Let o be (1/((-88)/(-858)))/((-9)/(-8)). Let f(y) = y**2 - 3*y - 24. Let j be f(7). Suppose 11/3*h**3 + o*h**2 - 8/3 - j*h - 4*h**4 - 5/3*h**5 = 0. What is h?
-2, -2/5, 1
Let g(u) = 62278*u + 437390. Let c be g(-7). Factor 1/4*j**2 + c + 38*j.
(j + 76)**2/4
Let d be 6573/(-2817)*-2*1/7. Find f such that -1/3 + 0*f + 4/3*f**2 + d*f**3 - f**4 - 2/3*f**5 = 0.
-1, 1/2, 1
Suppose -22 = -k - 3. Suppose -k*r - 64 + 102 = 0. Solve 1/2*i**2 + 0 + r*i = 0.
-4, 0
Factor -14*v - 115/2 - 1/2*v**2.
-(v + 5)*(v + 23)/2
Suppose 657*f - 752*f + 380 = 0. Let t(w) be the third derivative of 0*w + 0 + 1/140*w**5 + 11/14*w**3 - 3/14*w**f - 31*w**2. Determine g, given that t(g) = 0.
1, 11
Let l = 149551 - 149548. Suppose 4/7 - 2/7*v**l + 2/7*v - 4/7*v**2 = 0. Calculate v.
-2, -1, 1
Let g = 18 + -40. Let z be g/(-7) - 2/14. Let -5*t**4 + 4*t**2 + 7*t**4 + 8*t**z + 0*t**4 + 2*t**4 = 0. What is t?
-1, 0
Let n be (14 - 680/49)*((391 - -29) + 0/2). Suppose 36/7*x**3 - n*x + 600/7 + 6/7*x**4 - 66/7*x**2 = 0. What is x?
-5, 2
Let u be -325*3/(-819) + -3*3/(-63). What is x in -16/3 - u*x + 2/3*x**2 = 0?
-2, 4
Let j(l) = l**3 - 31*l**2 + 30*l + 146. Let z be j(27). Let h be (z/(-68))/7 - 12/3. Suppose 2/17*y**4 + 0 + 6/17*y**2 + h*y + 6/17*y**3 = 0. What is y?
-1, 0
Let g = 5846/7045 - 42/1409. Let o(v) be the first derivative of -g*v**5 + 0*v + 0*v**3 - 1/2*v**4 + 19 + 0*v**2 - 1/3*v**6. Determine i, given that o(i) = 0.
-1, 0
Let l(u) be the third derivative of -u + 50*u**2 - 23/32*u**4 - 5/4*u**3 + 1/16*u**5 + 0. Solve l(d) = 0.
-2/5, 5
Find n such that 18*n + 170*n**2 - 169*n**2 + 248*n = 0.
-266, 0
Let w(z) be the third derivative of -1/30*z**5 - 4*z**2 - 5 + 0*z + 11/6*z**4 + 0*z**3. Factor w(t).
-2*t*(t - 22)
Factor -21675/2 - 255/2*z - 3/8*z**2.
-3*(z + 170)**2/8
Let u(o) be the first derivative of 2*o**5/5 + 254*o**4 + 129032*o**3/3 - 2234. What is w in u(w) = 0?
-254, 0
Suppose 2*w = 4*g, 5*g = -0*w + 3*w - 4. Suppose 5*b - 2 = w. Factor h + 8*h**b + 5*h + 4*h - 4*h + 2*h**3.
2*h*(h + 1)*(h + 3)
Factor 3/4*d**3 + 693/4 - 195/4*d - 21/4*d**2.
3*(d - 11)*(d - 3)*(d + 7)/4
Let z(o) be the second derivative of 3/20*o**5 - 12*o - 8*o**3 - 1/2*o**4 - 9 + 48*o**2. What is d in z(d) = 0?
-4, 2, 4
Let a = 369 + -395. Let o be 2/20*2 - a/20. Factor 0 + o*z**2 + 0*z - 3/2*z**4 + 3/2*z**5 - 3/2*z**3.
3*z**2*(z - 1)**2*(z + 1)/2
Factor -30 + 1/4*k**4 - 147/4*k**2 - 3*k**3 - 127/2*k.
(k - 20)*(k + 1)**2*(k + 6)/4
Let f be (-1)/(-2) - (-2)/11 - 1408/7744. Let t(p) be the third derivative of 0 + 4/3*p**3 + 1/15*p**5 + 0*p - f*p**4 + 4*p**2. Factor t(w).
4*(w - 2)*(w - 1)
Suppose -23*y = -12*y - 33. Factor -60*n - 358*n**4 + 353*n**4 + 60*n**y + 2*n**2 + 3*n**2.
-5*n*(n - 12)*(n - 1)*(n + 1)
Suppose -3*k - 253 = -262. Suppose 118*f**k - 8*f**5 + 70*f**4 + 45*f**2 - 65*f**3 + 133*f**3 + 22*f + 85*f**2 = 0. What is f?
-1, -1/4, 0, 11
Let c = -82643 - -247936/3. Factor -4/3*r**2 + c*r + 2/3.
-(r - 2)*(4*r + 1)/3
Let f be -4 - (-15)/(26/(-10) - -4). Let z = f + -87/14. Find h such that 1/2*h**4 + 0*h + 0 + z*h**3 - h**2 = 0.
-2, 0, 1
Let b(i) be the first derivative of -49*i**6/480 - 7*i**5/12 - 25*i**4/24 - 55*i**2/2 + 69. Let z(f) be the second derivative of b(f). Factor z(d).
-d*(7*d + 10)**2/4
Let l(r) = -9*r**2 - 418*r - 3380. Let m be l(-36). Suppose -55/4*o**2 + 0 - 5/4*o**m + 15/2*o + 15/2*o**3 = 0. What is o?
0, 1, 2, 3
Let i = 249285/290857 - -3/41551. Factor -8*f**2 - 2*f + 36/7 - i*f**3.
-2*(f + 1)*(f + 9)*(3*f - 2)/7
Let h(d) be the second derivative of 1/4*d**5 - 5/12*d**4 - 19 - 5/42*d**7 + 1/6*d**6 + 0*d**3 + d + 0*d**2. What is w in h(w) = 0?
-1, 0, 1
Let y(o) be the third derivative of 0 + 2*o**3 + 1/40*o**6 + 130*o**2 - o - 1/20*o**5 - 1/2*o**4. Determine m so that y(m) = 0.
-2, 1, 2
Let i(h) = 3*h**2 - 282*h