ative of -4*g**5 - 745*g**4/4 + 20*g**3/3 + 745*g**2/2 + 12892. Suppose p(j) = 0. What is j?
-149/4, -1, 0, 1
Let -2/9*n**5 + 24 + 208/9*n + 58/9*n**4 - 34/3*n**3 - 170/9*n**2 = 0. What is n?
-1, 2, 27
Suppose k - 4*r + 8 = -0*r, 4*r + 8 = 5*k. Suppose -k*f + 38 = 30. Let f*d**2 + 6*d + 3*d**3 - 14*d - d**4 + 2*d**2 - d**3 = 0. What is d?
-2, 0, 2
Suppose 208598 = -70*c + 41368. Let a = c - -2392. What is h in -246/5*h**2 + 12/5*h + 48/5 + 12*h**a = 0?
-2/5, 1/2, 4
Let v(k) be the second derivative of 98*k + 42/13*k**2 - 125/39*k**3 + 41/26*k**4 - 3/10*k**5 - 1/195*k**6 + 0. Determine l so that v(l) = 0.
-42, 1
Let s = -85/267 + 201/445. Factor -14/15*w**2 + s*w**3 + 28/15*w - 16/15.
2*(w - 4)*(w - 2)*(w - 1)/15
Let f = -406 + 514. Let g = f - 106. Find c, given that g*c**2 + 1 + 1/2*c**3 + 5/2*c = 0.
-2, -1
Let j(r) = -r**2 - 14*r + 2. Let s be j(-14). Determine h, given that -s*h**3 - 20*h**2 - 5*h - 3*h**5 - 2*h**5 + 10*h**4 + 3*h**3 + 9*h**3 + 10 = 0.
-1, 1, 2
Let u be -5 - ((-6)/(5 + -3) + 4). Let i(t) = -4*t**3 + 10*t**2 - 12*t - 6. Let d(l) = l**3 + 1. Let y(v) = u*d(v) - i(v). Factor y(g).
-2*g*(g - 1)*(g + 6)
Let c(i) be the second derivative of -i**4/30 + 44*i**3/15 - 43*i**2/5 + i - 2524. Find d such that c(d) = 0.
1, 43
Let t(a) be the first derivative of -16/3*a + 4/27*a**3 - 20 + 8/9*a**2. Suppose t(v) = 0. Calculate v.
-6, 2
Suppose 12*x - 182 + 62 = 0. Factor 51*d**4 - 99*d**4 + d**2 + 2*d**5 + 46*d**4 - x*d**3 - 7*d**2.
2*d**2*(d - 3)*(d + 1)**2
Let f be ((-3990)/24 - -4)*-4. Let o = f + -649. Factor 2/3*n**2 + o*n + 0.
2*n**2/3
Let b(k) be the second derivative of k**5/5 - 13*k**4 + 138*k**3 + 7406*k**2 + 5*k. Suppose b(d) = 0. Calculate d.
-7, 23
Let v = 572 + -355. Factor v*i - 4 - 448*i - i**2 + 226*i.
-(i + 1)*(i + 4)
Let h(w) be the first derivative of -w**4/36 + 10*w**3/27 + 175*w**2/18 + 500*w/9 + 1966. Factor h(v).
-(v - 20)*(v + 5)**2/9
Suppose -9 = -15*z + 21. Determine f so that f**3 - 27 + 20*f**z + 15*f**3 - 3*f**4 + 10*f**2 - 16*f**3 = 0.
-3, -1, 1, 3
Let j be 3/90*-1821*(-90)/(-12). Let f = j + 456. What is g in -3/4*g**2 + 0*g**3 + 3/8*g + 0 - 3/8*g**5 + f*g**4 = 0?
-1, 0, 1
Let k(v) = 37*v - 6 + 26 + 12 - 3*v**2 - 14*v. Let g(w) = 2*w**2 - 22*w - 33. Let n(y) = -2*g(y) - 3*k(y). Factor n(r).
5*(r - 6)*(r + 1)
Find m such that -2494833/4*m**2 - 3684750*m**5 + 6654225*m**4 - 44286*m - 4600965/2*m**3 - 3993/4 = 0.
-11/170, 1
Let o = -1220 + 1058. Let p be (o/48)/((-6)/12*3). Factor p*s**3 + 0*s**2 + 0 + 1/4*s**5 + 0*s + 3/2*s**4.
s**3*(s + 3)**2/4
Suppose -27*q = 3*l - 25*q + 4, -2*l = -2*q - 4. Let s(c) be the third derivative of l - 5/72*c**4 + 19*c**2 + 1/36*c**5 + 0*c**3 + 0*c. Solve s(r) = 0 for r.
0, 1
Let -4285*w - 5/2*w**2 - 3672245/2 = 0. Calculate w.
-857
Let u(m) be the first derivative of 5*m**4/18 - 122*m**3/27 + 184*m**2/9 - 328*m/9 + 5540. Factor u(s).
2*(s - 2)**2*(5*s - 41)/9
Let q(c) = 48*c**2 + 10*c + 25. Let j be q(-3). Let r = j + -425. Suppose 0 + 2/17*x**r + 2/17*x = 0. What is x?
-1, 0
Let d(i) = i**2 + 4*i. Let o be d(-6). Let t be (o/(-7))/((-20)/14). Find x, given that 2*x**2 - t*x - 4/5 = 0.
-2/5, 1
Let w be (2*-2)/((-28)/21) - (-169 + 167). Find t, given that 3/5*t**w + 3/5*t + 0*t**4 - 6/5*t**3 + 0 + 0*t**2 = 0.
-1, 0, 1
Let q(w) = w**2 - 9*w + 6. Let k(l) = -l. Let z(h) = -5*k(h) + q(h). Let a be z(3). Let -5 - 3*f**2 - 2*f**2 - a*f + 6*f**2 - f = 0. What is f?
-1, 5
Factor -30819*q - 5*q**2 - 48391605 + 5234*q - 5525*q.
-5*(q + 3111)**2
Let c(d) be the second derivative of -112/3*d**4 - 15 + 2/21*d**7 - 72*d**2 - 8/5*d**6 + d + 70*d**3 + 54/5*d**5. Find h, given that c(h) = 0.
1, 3, 4
Suppose 5*s + 4*u = -3979, 4*s - 5*u = 5*s + 800. Let n = s + 803. Factor 16/7*a**3 + n*a + 2/7*a**4 + 24/7 + 46/7*a**2.
2*(a + 1)*(a + 2)**2*(a + 3)/7
Let j be (-84)/(-308) + 4/(-55). Let k(r) be the second derivative of 0 + j*r**3 + 28*r - 1/30*r**4 + 0*r**2. Factor k(q).
-2*q*(q - 3)/5
Let t(v) be the first derivative of v**5/210 - 2*v**4/21 - 3*v**3/7 + 99*v**2/2 - 297. Let y(d) be the second derivative of t(d). Determine i so that y(i) = 0.
-1, 9
Let f(p) = 24*p**2 - 6*p - 5. Let l = -107 - -106. Let h be f(l). Factor 5*o**5 - o**5 + 15*o**4 + h*o**3 - o**4 - 33*o**3.
2*o**3*(o + 4)*(2*o - 1)
Suppose 29*a - 14*a - 210 = 0. Let d be (-224)/(-98) + (1 - 18/a). Let -8/7*m + 0 - 2/7*m**3 + 8/7*m**d = 0. Calculate m.
0, 2
Suppose -7*h - 10 - 29 = -50*h + 90. Determine i, given that 5/4*i**h + 0 + 0*i - 275/4*i**2 = 0.
0, 55
Let v(u) be the second derivative of 5*u**4/66 + 16*u**3/11 - 20*u**2/11 + 1178*u. Solve v(d) = 0.
-10, 2/5
Suppose -31*m**3 + 152*m - 156*m**2 + 341*m**3 + 6*m**4 - 302*m**2 - 10*m**4 = 0. Calculate m.
0, 1/2, 1, 76
Suppose 3*h = -3*v - 24, 0 = 9*v - 6*v - h + 20. Let n be (1/(-10))/(v/56). Let -18/5*f**2 + 0 + n*f = 0. What is f?
0, 2/9
Suppose 0 = 13*a - 9*a + 5*p - 364, -a + 2*p + 104 = 0. Solve 264*v**3 - 232*v + v**5 - 2*v**4 - 10*v**5 - a*v**2 - 96 - 21*v**5 + 136*v - 224*v = 0.
-3, -2/3, -2/5, 2
Suppose -34 - 100 = -27*x + 1. Let c(d) be the second derivative of -5*d - 2/15*d**4 - 4/75*d**6 + 0*d**2 - 1/15*d**3 + 0 - 3/25*d**x - 1/105*d**7. Factor c(t).
-2*t*(t + 1)**4/5
Let q be 8/204 - 488894/(-2397). Let -1035/2*r**2 - 24 - q*r - 675/2*r**3 = 0. What is r?
-1, -4/15
Let m(z) = -z**3 - 5*z**2 - z - 5. Let w be m(-5). Let r(g) = g**2 - 839. Let b be r(-29). Solve 0 - 1/7*i**4 + 2/7*i**b + 1/7*i**3 + w*i = 0.
-1, 0, 2
Suppose -2*l - 4*c = -58, -5*l - 668*c - 50 = -673*c. Factor -14/17*x + 0 - 2/17*x**l + 16/17*x**2.
-2*x*(x - 7)*(x - 1)/17
Let v(n) = 47*n + 1665. Let y be v(-35). Let h(g) be the third derivative of 1/21*g**3 - 1/168*g**4 + 0 + y*g**2 + 0*g - 1/420*g**5. Factor h(o).
-(o - 1)*(o + 2)/7
Suppose -s = 5*k - 18, -3*k - 4*s + 2 = -19. Let h be (-10)/(-5)*21/k. Factor 7*z - h*z + 7*z + 8*z**3 + 4*z**2 + 4*z**4.
4*z**2*(z + 1)**2
Determine t, given that 2/5*t**4 + 0 + 290*t + 38/5*t**3 - 106*t**2 = 0.
-29, 0, 5
Let n be (179/(-716))/((-36)/16 - -2). What is t in -1/3*t**2 - 2/3*t + n = 0?
-3, 1
Suppose -3*t - 3 = 0, 5*p = -14*t + 13*t + 19. Suppose -3*x + 9 = 0, p*x - x - 15 = -3*f. Determine u so that 6*u**f - 42*u + 98 - 2/7*u**3 = 0.
7
Let n(a) = -a**3 + 7*a**2 - 7*a + 8. Let k = 40 + -34. Let t be n(k). Factor -9*j**2 + j**3 - 5*j + t*j**3 + 7*j + 4*j.
3*j*(j - 2)*(j - 1)
Let v be -1*13*20/(-910). Solve -158/7*x**3 - v*x**5 - 34*x**2 + 38/7*x**4 + 200/7 + 160/7*x = 0 for x.
-1, 1, 10
Let y(z) be the first derivative of -15/2*z**2 + 0*z + 5/4*z**4 - 33 + 10/3*z**3. Solve y(k) = 0 for k.
-3, 0, 1
Let h(o) = -70*o - 276. Let k = -751 + 747. Let a be h(k). Find s, given that -3*s + 18/7*s**3 - 15/7*s**a + 9/7 + 3/7*s**5 + 6/7*s**2 = 0.
-1, 1, 3
Let t be (-742296)/(-68950) - 36/75. Solve -12/7*b**3 + 18/7*b**4 - t*b**2 - 48/7*b + 6/7*b**5 + 0 = 0 for b.
-2, -1, 0, 2
Suppose 3705*g + 3150 = 3780*g. Let p(w) be the second derivative of 0 - g*w - w**2 - w**3 + 3/10*w**5 - 5/24*w**4 + 3/20*w**6. Solve p(z) = 0.
-1, -2/3, 1
Let o(d) be the third derivative of d**7/105 + d**6/60 - d**5/5 - d**4/3 + 8*d**3/3 - 1529*d**2. Suppose o(h) = 0. Calculate h.
-2, 1, 2
Factor -312 - 4*q**3 - 93*q**2 + 8*q**3 - 6*q**3 - 133*q + 402.
-(q + 2)*(q + 45)*(2*q - 1)
Let v = 8/3421 - -13660/10263. Factor 0 - 1/3*s**4 - v*s**2 - 4/3*s**3 + 0*s.
-s**2*(s + 2)**2/3
What is s in -288 - 286*s + 5*s**2 + 8*s**2 - 26*s**2 + 7*s**2 + 8*s**2 = 0?
-1, 144
Let i be ((-7)/2 - -1)/((-1785)/380). Let h = i - -16/119. Determine v, given that 0 + 0*v**2 + 8/3*v**5 + h*v**4 + 0*v - 2*v**3 = 0.
-1, 0, 3/4
Let h = -854/9 - -8543/90. Let b(l) be the first derivative of -1/10*l**2 + h*l**6 + 0*l**4 - 13 + 2/25*l**5 - 2/15*l**3 + 0*l. Factor b(i).
i*(i - 1)*(i + 1)**3/5
Suppose -5*w - 2*m - 1 = -139, 0 = -4*w - m + 111. Suppose 6*z = -w + 46. Factor 2/19*x**z - 6/19*x**2 + 0 - 8/19*x.
2*x*(x - 4)*(x + 1)/19
Let n(u) be the third derivative of u**7/1260 + 13*u**6/60 + 103*u**5/120 + 77*u**4/72 - 1119*u**2. Let n(l) = 0. Calculate l.
-154, -1, 0
Suppose 2*w + 15 = 3*t, -2*w - 5*t + 15 = -10. Let b be 11/(396/(-207)) - -9. Find x such that w - 1/2*x**5 - 23/4*x**3 - 3/4*x**2 + 9/4*x - b*x**4 = 0.
-3, -1, 0, 1/2
Let x(n) be the second derivative of -7*n**6/30 - 67*n**5/40 + 17*n**4/24 + 5*n**3/6 - 29*n - 2. S