
0, 1/4, 1, 2
Let v(c) = 55*c**2 - 10. Let j(n) = 238*n**2 - 42. Let w(a) = -6*j(a) + 26*v(a). Find q such that w(q) = 0.
-2, 2
Suppose 4*u = 12*u - 24. Let 259 - 116 - 4*c**2 - 111 + c**u - 2*c**2 = 0. What is c?
-2, 4
Find j, given that 2/5*j**5 + 0*j**3 - 20*j**2 + 16/5*j**4 + 84/5 - 2/5*j = 0.
-7, -3, -1, 1, 2
Let u be (12/(-8) + -3)*12/(-27). Factor 3529*h**2 - 3521*h**u + h - 7*h - 2*h**3.
-2*h*(h - 3)*(h - 1)
Let o = -857157/11 + 77795. Let s = o - -132. Factor 2/11*j**2 + s*j + 200/11.
2*(j + 10)**2/11
Let d(u) be the third derivative of u**5/60 + 3*u**4 + 69*u**3/2 + 267*u**2 + 2*u. What is c in d(c) = 0?
-69, -3
Suppose -83*y + 72 = -47*y. Let t(a) be the second derivative of -1/36*a**4 + 1/60*a**5 - 5/18*a**3 + 0 - 1/2*a**y - 5*a. Factor t(f).
(f - 3)*(f + 1)**2/3
Let c(p) be the third derivative of p**4/6 + 5*p**3/6 + 16*p**2. Let x be c(2). Factor 2 + 4*a - 9*a**3 + 5*a**2 + x*a**3 - 5 - 6*a**3.
-(a - 3)*(a + 1)*(2*a - 1)
Let b(o) = 20*o**2 + 23*o - 24. Let s be b(1). Let g(f) be the second derivative of -4/3*f**4 + 6*f**2 + s*f + 3/10*f**5 - 5/3*f**3 + 0. Factor g(j).
2*(j - 3)*(j + 1)*(3*j - 2)
Let x be 4 + (-2695)/660 + 183/36. Find y, given that 1/2*y**3 - 4*y**2 - x - 19/2*y = 0.
-1, 10
Suppose 3*b + 2*b = 10. Suppose i - b*i + 9 = 0. What is a in -2 + i*a + 2*a**4 - a - 8*a**3 + 6 - 6*a**4 = 0?
-1, 1
Let y(t) = -233*t**2 - 1260*t - 1764. Suppose 98*w - 92*w = -48. Let n(l) = -155*l**2 - 840*l - 1176. Let o(k) = w*n(k) + 5*y(k). Suppose o(h) = 0. What is h?
-14/5
Suppose 5*r - 3*v = -3, -4*r - 1566*v + 1560*v = -48. Solve -4 - 1/2*g**2 + r*g = 0 for g.
2, 4
Suppose 4*z - 2*d - 32 = d, 4*z - 28 = 2*d. Suppose 23 = -z*k + 3*h + 17, 3*h - 6 = 0. Suppose k*r + 2/3*r**2 - 8/9*r**3 + 0 + 2/9*r**4 = 0. What is r?
0, 1, 3
Let f(j) be the second derivative of -j**7/252 - 47*j**6/180 - 89*j**5/60 - 131*j**4/36 - 173*j**3/36 - 43*j**2/12 + 198*j. What is b in f(b) = 0?
-43, -1
Let v = -36879/10 + 3688. Let b(l) be the third derivative of 0*l + 0*l**3 + 0*l**6 + v*l**5 - 1/105*l**7 + 0 + 1/6*l**4 + 4*l**2. Let b(h) = 0. What is h?
-1, 0, 2
Let j = 428 - 17119/40. Let s(a) be the third derivative of 0 - 1/10*a**3 - 17*a**2 + j*a**6 - 1/8*a**4 + 0*a + 1/100*a**5. What is y in s(y) = 0?
-1, -1/5, 1
Let a(h) = -h**4 + 2*h**3 - h**2 + h + 5. Let p(f) = 64*f**4 - 35*f**3 - 65*f**2 + 14*f - 20. Let i(y) = 4*a(y) + p(y). Determine d, given that i(d) = 0.
-1, 0, 1/4, 6/5
Let l be (-1)/8*-4*(12 - 6). Let z(d) = -d**2 + d. Let m(u) = -3*u**4 + 15*u**3 - 15*u**2 - 3*u. Let x(v) = l*z(v) + m(v). Factor x(f).
-3*f**2*(f - 3)*(f - 2)
Let n(q) be the first derivative of 0*q - 3/2*q**4 + 109 - 5*q**2 - 2/5*q**5 + 6*q**3. What is s in n(s) = 0?
-5, 0, 1
Let d(i) be the third derivative of i**6/72 - i**5/6 + 5*i**4/8 - 37*i**3/6 - 35*i**2. Let g(n) be the first derivative of d(n). Let g(p) = 0. What is p?
1, 3
Let f(z) be the third derivative of z**5/30 + 83*z**4/12 + 264*z**3 + 53*z**2 + 42. Suppose f(d) = 0. Calculate d.
-72, -11
Factor -184*q - 135 - 16*q**2 + 14*q**3 + 10*q**3 - 64*q - 74*q**2 + q**4.
(q - 5)*(q + 1)**2*(q + 27)
Let u be (-2)/(-15) + 25692/360 + -4 - 9. Solve 27/2*c**3 + 1/2*c**4 + 193/2*c**2 + u*c - 169 = 0 for c.
-13, -2, 1
Let a(i) be the second derivative of i**4/96 - 47*i**3/24 - 95*i**2/16 + 4*i + 244. Solve a(b) = 0.
-1, 95
Solve -1/3*y**2 + 796/3*y - 158404/3 = 0.
398
Let o(z) be the second derivative of -2*z**7/21 + 16*z**6/15 + 32*z**5/5 - 134*z**4/3 + 290*z**3/3 - 100*z**2 - 5623*z. Factor o(n).
-4*(n - 10)*(n - 1)**3*(n + 5)
Let o be (-6412)/(-98) - (-6)/(-14). Let h = -62 + o. Factor 1380*w**h - 9*w**2 + 2*w - 1372*w**3 - w**2.
2*w*(w - 1)*(4*w - 1)
Let z = 3 + -3. Let o = 296265/2 - 148132. Find j such that z*j + 0 - 3/2*j**4 + 1/2*j**5 + 3/2*j**2 - o*j**3 = 0.
-1, 0, 1, 3
Let l = 1152/5 - 230. Let o be ((-28)/(-126))/((-6)/(-81)). Factor -6/5*y**2 - 2/5 - 6/5*y - l*y**o.
-2*(y + 1)**3/5
Let y = -34165 - -68331/2. Factor -1/2*f**2 - y + f.
-(f - 1)**2/2
Suppose 12 = 77*i - 75*i. Let z(m) = m**3 - 2*m**2 + m. Let r(t) = 7*t**3 - 3*t**2 + 29*t + 15. Let c(x) = i*z(x) - r(x). Factor c(n).
-(n + 1)*(n + 3)*(n + 5)
Let f = -985 + 1037. Suppose 4*z = 5*h + 20, -4*z + 64 = -3*h + f. Determine o, given that z - 2/3*o**2 - 1/3*o**3 + o = 0.
-3, 0, 1
Let i(v) be the first derivative of -v**5/60 + v**4/24 + v**3/3 + 7*v**2/2 - v - 36. Let a(d) be the second derivative of i(d). Suppose a(z) = 0. What is z?
-1, 2
Let -332/5*a - 27556/5 - 1/5*a**2 = 0. Calculate a.
-166
Let h(a) = 8*a**2 - 6*a + 4. Let b be h(3). Let l be (-1)/(1/b*-1). Factor -l*o**3 - 61*o**3 + 118*o**3.
-o**3
Let o(b) be the third derivative of -b**8/6720 + b**6/1440 + 19*b**3/3 - 14*b**2 + 1. Let s(y) be the first derivative of o(y). Factor s(p).
-p**2*(p - 1)*(p + 1)/4
Factor -5543987220*q - 5/4*q**4 + 5554122480 - 10129095*q**2 - 24655/4*q**3.
-5*(q - 1)*(q + 1644)**3/4
Suppose -2*w + 2*v - 14 = 0, 20 + 3 = -3*w + 2*v. Let o be (0 - 2/w) + (-532)/(-1008). Solve o + 0*l - 3/4*l**2 = 0 for l.
-1, 1
Let i be 25/6 + (-35)/210. Determine b, given that -40*b + 5/2*b**2 + 10 + 115/2*b**3 - 35/2*b**5 - 25/2*b**i = 0.
-2, -1, 2/7, 1
Let m(h) = 26*h - 50. Let b be m(2). Suppose -4*o + f + 17 = 0, f + 13 = 5*o - b*o. Solve 3/2*z**2 + o*z - 3/2 = 0.
-3, 1/3
Suppose -108*i + 400*i - 8385 = -1385*i. Determine h, given that 32/15 - 64/15*h**3 - 2/15*h**i + 112/15*h**2 - 32/5*h + 6/5*h**4 = 0.
1, 2
Let t be 11/8*(-36)/330*-5. Let o(z) be the first derivative of 0*z + 45 - 3/2*z**2 - 3/5*z**5 + z**3 + t*z**4. Let o(q) = 0. Calculate q.
-1, 0, 1
Let c(v) be the third derivative of 0*v + 1/300*v**5 + 1/600*v**6 - 9*v**2 + 1/2*v**3 - 17/120*v**4 + 7. Find y such that c(y) = 0.
-5, 1, 3
Factor 5*p**2 - 143*p + 31*p - 40*p - 123*p.
5*p*(p - 55)
Let z(v) = v**5 - 5*v**4 - v**3. Let k(b) = -25*b**5 - 203*b**4 - 863*b**3 - 1212*b**2 - 360*b. Let i(h) = -k(h) - 5*z(h). Find u such that i(u) = 0.
-5, -3, -2/5, 0
Let y = 9067 - 299210/33. Let r(h) be the first derivative of -6 + 5/22*h**4 + 0*h**2 + 0*h - 4/33*h**3 + y*h**6 - 8/55*h**5. Suppose r(i) = 0. What is i?
0, 1, 2
Let c = -655 + 775. Suppose -4*z - c = -19*z. Determine d, given that z*d + 96*d**4 + 64/3*d**5 + 76*d**3 + 0 - 172/3*d**2 = 0.
-3, -2, 0, 1/4
Let c(o) = 3*o**2 - 242*o + 4559. Let n(y) = 3*y**2 - 240*y + 4560. Let t(a) = 3*c(a) - 4*n(a). Factor t(z).
-3*(z - 39)**2
Let a = -706715/11 - -64247. Suppose a*r**5 - 32/11 + 8/11*r + 40/11*r**2 - 8/11*r**4 - 10/11*r**3 = 0. Calculate r.
-2, -1, 1, 2, 4
Let y = 46/9 + -17477/3420. Let s(u) be the third derivative of 0 + y*u**6 - 1/57*u**3 + 0*u - 1/228*u**4 + 1/570*u**5 - 20*u**2. Factor s(f).
2*(f - 1)*(f + 1)**2/19
Let r be ((12 - (8 + -5)) + 99/(-9))/(10/(-15)). Determine f, given that -3/5*f**4 - r*f**3 - 21/5*f**2 - 9/5*f + 0 = 0.
-3, -1, 0
Factor 4*b - 119/6 - 1/6*b**2.
-(b - 17)*(b - 7)/6
Let j be (470/(-560) + 15/120)*((-875)/10 + 0). Factor -10*g**2 - 25/4*g + j - 5/4*g**3.
-5*(g - 2)*(g + 5)**2/4
Factor -1/2*t**3 - 11*t + 0 - 199/6*t**2.
-t*(t + 66)*(3*t + 1)/6
Let a(q) be the third derivative of -q**5/480 + 31*q**4/32 - 2883*q**3/16 - 7*q**2 + 1. Determine b, given that a(b) = 0.
93
Suppose 0 = 3*w - 5*c - 2743 - 3630, 4*c - 4300 = -2*w. Let 5586*n**4 - 1029/2*n**5 + 192 + 8328*n**2 - w*n - 12768*n**3 = 0. Calculate n.
2/7, 2, 8
Let q = 190 + -184. Let t(c) be the second derivative of 0*c**2 - 17*c + 0 + 4/65*c**5 - 1/65*c**q + 0*c**3 - 2/39*c**4. Factor t(l).
-2*l**2*(l - 2)*(3*l - 2)/13
Find b, given that -15138/11 - 2/11*b**2 - 348/11*b = 0.
-87
Let s(x) be the first derivative of 4*x**3/15 + 1012*x**2/5 + 404*x + 1105. Determine t so that s(t) = 0.
-505, -1
Let j(x) be the first derivative of x**3/3 - 398*x**2 + 158404*x - 1121. Factor j(c).
(c - 398)**2
Factor 86*d**3 + 744*d**2 + 960*d - 2793*d**4 + 52*d**3 + 1402*d**4 + 1394*d**4.
3*d*(d + 2)*(d + 4)*(d + 40)
Let h(r) be the second derivative of 1/21*r**4 - 2/147*r**7 + 0 + 93*r - 2/105*r**6 + 9/35*r**5 + 24/7*r**2 - 40/21*r**3. Suppose h(x) = 0. What is x?
-3, -2, 1, 2
Let d = -25410487/44 - -577544. Let t = d + -131/4. Let -12/11*r - 18/11 - t*r**2 = 0. What is r?
-3
Let d(u) be the first derivative of -u**6/1800 - u**5/150 - u**4/40 + 13*u**3/3 - 111. Let p(b) be the third derivative of d(b). Let p(q) =