 d in g(d) = 0?
-100, 9
Let o(z) be the first derivative of 1/12*z**3 - 27/4*z**2 + 53/4*z - 207. Factor o(j).
(j - 53)*(j - 1)/4
Find j such that -80758*j**2 - 65194*j**4 - 1780*j**3 + 65198*j**4 + 198916*j + 277890*j**2 = 0.
-1, 0, 223
Let u be (22 + (-22946)/198)*((-296)/(-40) - 8). Factor -88/3*b**4 - 12*b - 44*b**2 + 0 - 16/3*b**5 - u*b**3.
-b*(b + 2)**2*(4*b + 3)**2/3
Let s = -498554/3 - -166208. Factor -52/3*l**2 - 4 + 10/3*l**3 + s*l.
2*(l - 3)*(l - 2)*(5*l - 1)/3
Let f(i) be the second derivative of -i**7/5040 + i**6/1080 + i**5/48 + 2*i**3/3 + 24*i + 4. Let a(w) be the second derivative of f(w). Factor a(s).
-s*(s - 5)*(s + 3)/6
Let n be (4 + 0)/(-1 + 0) + 1. Let m be ((-40)/n)/8 + -4 - -5. Let 2 + m*b**2 - 26/3*b = 0. What is b?
1/4, 3
Let r = 174 + -170. Factor -391 - 4*f - 2*f**r + f**4 + 0*f**2 - 6*f**2 + 399 + 5*f**3.
-(f - 2)**3*(f + 1)
Let n(x) = 15*x - 86. Let a be n(20). Factor -682*o + 15 + o**4 - 26*o**3 - a*o + 40*o**2 + 1009 + 97*o**2 + 103*o**2.
(o - 8)**3*(o - 2)
Let v(x) be the third derivative of x**7/840 + 67*x**6/240 - 7041*x**2. Factor v(u).
u**3*(u + 134)/4
Let -160*c**2 - 229*c**2 + 1058841 + 390*c**2 - 2058*c = 0. Calculate c.
1029
Let s be (-2)/(-13) - (908706/546 - -7). Let m = 1674 + s. Factor m*z**2 + 2/7*z**3 + 0 + 50/7*z.
2*z*(z + 5)**2/7
Let n = 770595 - 770593. Suppose 1/2*q**4 - 19/2*q**n - 7*q - 5/4*q**3 + 6 = 0. What is q?
-2, 1/2, 6
Let n(m) be the third derivative of -19/30*m**4 + 0 + 0*m + 8/3*m**3 - 1/75*m**5 - 127*m**2. Factor n(f).
-4*(f - 1)*(f + 20)/5
Let -606/7*z**3 - 66/7*z + 282/7*z**4 + 0 + 398/7*z**2 - 8/7*z**5 = 0. What is z?
0, 1/4, 1, 33
Suppose 282 = 4*j - 258. Factor -22109*f**2 - j*f + 16*f**3 + 21985*f**2 - 41*f - 36.
4*(f - 9)*(f + 1)*(4*f + 1)
Let b(u) = -u**3 + 17*u**2 - 16*u + 3. Let s be b(16). Find c, given that -3*c**3 - 3*c**s - 7*c**4 + 8*c + 11*c**4 - 4 - 2*c**3 = 0.
-1, 1
Let x(n) be the third derivative of n**5/90 - 229*n**4/9 + 209764*n**3/9 + 7805*n**2. Determine c so that x(c) = 0.
458
Suppose -79*q = 37 - 28 - 246. Let t(z) be the first derivative of 2/35*z**5 - 2/7*z**q - 24 - 4/7*z + 1/14*z**4 - 5/7*z**2. Factor t(g).
2*(g - 2)*(g + 1)**3/7
Suppose 8*w + 2*w - 160 = 0. What is c in 24*c**3 + w*c - 44*c**2 - 380378 + 380378 = 0?
0, 1/2, 4/3
Suppose -v + 217 - 43 = 3*d, 3*d + 2*v - 177 = 0. Factor -42*l - 43*l**4 + 86*l**4 + d*l**2 - 46*l**4 - 12*l**3.
-3*l*(l - 2)*(l - 1)*(l + 7)
Let s(h) be the third derivative of -h**5/105 + 13*h**4/14 - 1758*h**2. Let s(l) = 0. What is l?
0, 39
Let a(b) = -5*b**2 - 11*b. Let t(p) be the second derivative of -5/12*p**4 + 19*p + 0*p**2 - 5/3*p**3 + 0. Let y(k) = 5*a(k) - 6*t(k). Factor y(i).
5*i*(i + 1)
Let k(b) be the second derivative of -1/3*b**3 - 14/9*b**2 - 2*b - 1/54*b**4 - 10. What is i in k(i) = 0?
-7, -2
Let j = -1546 + 7742/5. Let y(g) be the first derivative of 2/15*g**3 + g**2 - j*g + 12. Determine a so that y(a) = 0.
-6, 1
Let l(h) = 8*h**3 - 32*h**2 - 132*h - 2. Let n(f) = 42*f**3 - 160*f**2 - 660*f - 11. Let p(x) = 11*l(x) - 2*n(x). What is q in p(q) = 0?
-3, 0, 11
Let i(z) be the first derivative of -z**2 + 55*z + 37. Let g be i(20). Factor -13 + g*x - 3*x + 13 - 2*x**2 - 16.
-2*(x - 4)*(x - 2)
Find d such that 488/17*d**3 + 0 - 100/17*d - 270/17*d**2 - 126/17*d**4 + 8/17*d**5 = 0.
-1/4, 0, 1, 5, 10
Let a = 510511 + -510511. Factor 177/4*v**3 + a - 3/8*v**4 + 0*v - 10443/8*v**2.
-3*v**2*(v - 59)**2/8
Let c(y) be the first derivative of 1/22*y**4 + 92 - 4/11*y**2 - 14/33*y**3 + 56/11*y. Let c(h) = 0. Calculate h.
-2, 2, 7
Let y(a) = -a**3 + 49*a**2 - a + 51. Let b be y(49). Determine x so that -x**3 - 29*x**2 - 39*x**b + 110*x**2 - 39*x**2 - 2*x**3 = 0.
0, 1
Let s(i) = -5*i**3 + 63*i**2 - 157*i + 243. Let l(a) = 85*a**3 - 1070*a**2 + 2690*a - 4130. Let q(c) = -3*l(c) - 50*s(c). Factor q(x).
-5*(x - 6)*(x - 4)*(x - 2)
Let a(d) be the third derivative of 2*d**7/189 - 8*d**6/135 - 14*d**5/45 - 8*d**4/27 + 10*d**3/27 - 5429*d**2. What is m in a(m) = 0?
-1, 1/5, 5
Let v(k) be the third derivative of -3/35*k**7 + 0*k**3 - 105*k**2 + 6*k**4 + 1/168*k**8 + 14/5*k**5 + 1/30*k**6 + 0*k + 0. Factor v(b).
2*b*(b - 6)**2*(b + 1)*(b + 2)
Let p be (-10)/(6 - 102/12). Let d(m) be the third derivative of 0*m**3 - 1/735*m**7 + 0*m**p + 0*m + 0 - 6*m**2 - 1/210*m**6 - 1/210*m**5. Factor d(y).
-2*y**2*(y + 1)**2/7
Suppose 4*z + 3 = 5*v, 2*v - 7 = 2*z + 5*v. Let h be 162 + z + (4 - 8). Let 114 + 180*p**2 - 66 + 252*p**5 - 620*p**3 + 48*p - 64 + h*p**4 = 0. What is p?
-2, -2/7, 1/3, 1
Let i(t) be the second derivative of -t**6/6 + t**5/2 + 5*t**4 + 35*t**3/3 + 25*t**2/2 + 8*t - 13. What is p in i(p) = 0?
-1, 5
Let k(q) be the first derivative of -4*q**3/15 + 83*q**2/5 - 78*q - 880. Find o such that k(o) = 0.
5/2, 39
Suppose -32 + 2006*k + 2012*k - 3*k**2 - 3990*k = 0. Calculate k.
4/3, 8
Suppose 12*i**3 - 396 + 372*i + 201 + 87 - 148*i**2 = 0. Calculate i.
1/3, 3, 9
Suppose 0 = -r + 2*v + 14, 2*r = -7*v - 37 - 1. Let i(j) be the second derivative of -9*j - r*j**2 - 1/12*j**4 - 2/3*j**3 + 0. Determine c, given that i(c) = 0.
-2
Let a(n) = -2*n**5 - 7*n**4 + 14*n**3 + 25*n**2 - 6*n + 15. Let g(p) = p**5 + 8*p**4 - 15*p**3 - 26*p**2 + 4*p - 10. Let j(s) = 2*a(s) + 3*g(s). Factor j(y).
-y**2*(y - 7)*(y - 4)*(y + 1)
Let z = 60 - 51. Suppose -4*c + z = 1. Determine a so that -25*a**3 + 20*a**2 - 39*a**4 - 21*a**4 + 35*a**c + 30*a = 0.
-3/4, -2/3, 0, 1
Let h = 119070 + -595348/5. Factor 6/5 + 8/5*d + h*d**2.
2*(d + 1)*(d + 3)/5
Let q(j) = -2*j**2 - 207*j - 305. Let p(s) = -3*s**2 - 318*s - 455. Let f(b) = -5*p(b) + 7*q(b). What is v in f(v) = 0?
-140, -1
Factor -132/5*l**2 - 1016/5*l - 4/5*l**3 + 1152/5.
-4*(l - 1)*(l + 16)*(l + 18)/5
Let f = 106 + -64. Suppose 0 = -f*n + 43*n - 45. Find s, given that -7*s**2 - s**2 + 30*s + 10*s**2 - 7*s**2 - n = 0.
3
Let p(c) be the third derivative of 0*c**3 + 0 + 1/240*c**5 + 0*c + 1/16*c**4 - 148*c**2. Factor p(l).
l*(l + 6)/4
Let b = 14 + -10. Factor -6*w - 26*w**2 + 308*w**4 - 36*w**3 - 323*w**b - w**2.
-3*w*(w + 1)**2*(5*w + 2)
Let x(c) be the first derivative of -c**4/42 - 5*c**3/7 - 36*c**2/7 - 21*c + 19. Let f(y) be the first derivative of x(y). Let f(l) = 0. What is l?
-12, -3
Determine k so that 42*k**2 + 94/5*k**3 + 136/5*k + 24/5 - 18/5*k**4 - 14/5*k**5 = 0.
-2, -1, -2/7, 3
Let p be 96/45 - (12/(-2) - -8). Let f be 6*28/(-54)*(-24)/140. Solve 0*m + 2/3*m**3 + p*m**2 + 0 + f*m**4 = 0 for m.
-1, -1/4, 0
Let w = -28311 - -28346. Let k(p) be the third derivative of 8/27*p**3 - w*p**2 + 7/108*p**4 + 0*p - 1/270*p**5 + 0. Factor k(r).
-2*(r - 8)*(r + 1)/9
Let l be 9/14*(32 - 856/27)*3. Find p, given that l*p - 22/7*p**3 + 18/7*p**5 - 2*p**2 + 0 + 2*p**4 = 0.
-1, 0, 2/9, 1
Let l(m) = -2*m**4 - 135*m - 1 + 139*m + 3*m**4 + 2*m**2. Let c(g) = -4*g**4 - g**3 - 7*g**2 - 13*g + 4. Let r(j) = -4*c(j) - 14*l(j). Factor r(k).
2*(k - 1)*(k + 1)**3
Let b = 84/5 - 499/30. Let x(d) be the first derivative of -8 + 5/36*d**6 + 0*d - b*d**2 - 7/30*d**5 - 1/8*d**4 + 7/18*d**3. Let x(c) = 0. What is c?
-1, 0, 2/5, 1
Let j(f) be the first derivative of -4*f**3/3 - 442*f**2 - 5992*f - 333. Factor j(s).
-4*(s + 7)*(s + 214)
Let d(w) = 2*w**3 - w**2 - 2*w - 2. Let o(q) = q**4 + 10*q**3 + 14*q**2 - 208*q - 390. Let g(a) = 2*d(a) + 2*o(a). Find b such that g(b) = 0.
-7, -2, 4
Let i(t) be the third derivative of -t**5/30 - 335*t**4/24 - 167*t**3/6 - 7*t**2 + 30. Find y, given that i(y) = 0.
-167, -1/2
Let v = -3246 - -3252. Let d(f) be the third derivative of 0 + 57/28*f**4 + 0*f + 4/5*f**5 + 18/7*f**3 + 26*f**2 + 4/35*f**v. What is n in d(n) = 0?
-2, -3/4
Let q(m) = 85*m**2 + 27*m - 26. Let l be q(1). Let y = -84 + l. Solve -2/15*o + 4/15*o**y + 2/15*o**3 - 4/15 = 0 for o.
-2, -1, 1
Let c be (-1 + 2 + 11)*(-5)/(-20). Suppose -4*y + 8 = 3*p, -4*y = -c*p - 13 + 5. Factor -1/7 + 0*x**y - 2/7*x**3 + 2/7*x + 1/7*x**4.
(x - 1)**3*(x + 1)/7
Suppose -31*c + c - 3*c = 13*c. Let d(n) be the third derivative of 0 + 0*n + 1/6*n**3 - 1/16*n**4 + c*n**5 + 1/240*n**6 - 15*n**2. Factor d(j).
(j - 1)**2*(j + 2)/2
Let p be 22/99 + (1000/9)/4. Solve -p*u + 3*u**2 - 23*u - 21 - 16*u + 49*u = 0 for u.
-1, 7
Let m(x) = x**2 - 12*x + 14. Let r be m(11). Factor -12*k - 2*k**r + 0*k**3 + 12*k - 20*k**2.
-2*k**2*(k + 10)
Let r(k) be the second 