tor j(i).
3*(i + 1)*(3*i - 14)
Let w(q) = 2*q**2 - 30*q - 35. Let l(x) = x**2 - 30*x - 35. Let c = -513 - -516. Let h(n) = c*l(n) - 4*w(n). Let h(y) = 0. Calculate y.
-1, 7
Let c be ((3 - 67/9)/(4212/(-3159)))/((-5)/(-6)). Factor 4/3*w - 1/3*w**c + 1 - 4/3*w**3 - 2/3*w**2.
-(w - 1)*(w + 1)**2*(w + 3)/3
Let y(b) be the second derivative of b**7/42 + b**6/15 - 27*b**5/20 - 9*b**4 - 18*b**3 - 581*b. Factor y(t).
t*(t - 6)*(t + 2)*(t + 3)**2
Factor 32*l**2 + 207/4*l + 41/2 + 3/4*l**3.
(l + 1)*(l + 41)*(3*l + 2)/4
Let a be (-10)/5*(-13)/2. Suppose a*d - 40 = 5*d. Find f, given that 6*f**5 - 7*f**3 - f - 3*f**2 + 3*f**4 - f**d + 3*f = 0.
-1, 0, 2/5, 1
Let m = 3931 - 11791/3. Let p(o) be the first derivative of -m*o**6 - 6 + 8*o - 8/3*o**3 + 4*o**4 - 6*o**2 + 0*o**5. Solve p(z) = 0.
-2, -1, 1
Factor 152 + 103/5*p + 1/5*p**2.
(p + 8)*(p + 95)/5
Let t(r) be the third derivative of r**6/300 + 14*r**5/75 + 13*r**4/4 - 1629*r**2. Factor t(m).
2*m*(m + 13)*(m + 15)/5
Let w be ((-21270)/9)/5 + 16/24. Let m = w + 475. Determine h so that -14/9*h - 4/9*h**m - 4/9 - 14/9*h**2 = 0.
-2, -1, -1/2
Let a(t) be the first derivative of -t**3 - 894*t**2 - 266412*t + 3241. Factor a(z).
-3*(z + 298)**2
Let t(x) = -5*x**2 + 428*x + 819. Let a(s) = -20*s**2 + 1760*s + 3275. Let o(i) = -6*a(i) + 25*t(i). Determine r so that o(r) = 0.
-5, 33
Suppose -2*y + 30 = 3*c, c + 3*y + 353 - 391 = 0. Suppose -22/3*h**c + 2/9*h**3 + 64*h - 512/9 = 0. Calculate h.
1, 16
Let r(c) be the third derivative of 0 + 13/60*c**4 + 0*c - 2/525*c**7 + 1/840*c**8 + 2/3*c**3 - 7/150*c**6 + 242*c**2 - 4/75*c**5. Solve r(p) = 0 for p.
-2, -1, 1, 5
Let b be (13 + 13426/(-28))*(-4)/6. Factor 74 - 356*f**2 - 319 + b*f**2 - 210*f.
-5*(3*f + 7)**2
Let g(p) be the third derivative of -p**6/240 - p**5/40 - p**4/24 - 3*p**2 + 164. Suppose g(m) = 0. What is m?
-2, -1, 0
Solve 81*t**2 - 23/4*t**3 + 177*t - 16 = 0 for t.
-2, 2/23, 16
Let m(u) be the first derivative of u**5/45 + 29*u**4/36 + 3*u**3 + 79*u**2/18 + 26*u/9 + 1132. Determine b, given that m(b) = 0.
-26, -1
Factor -2285/2*v + 1044245/4 + 5/4*v**2.
5*(v - 457)**2/4
Let f = 3622/3 + -72439/60. Let g(u) be the third derivative of 0 + 0*u + 1/12*u**4 - 1/15*u**5 + 0*u**3 + 26*u**2 + f*u**6. Factor g(m).
2*m*(m - 1)**2
Let x(g) be the first derivative of -g**6/480 + 3*g**5/80 + 7*g**4/32 + 11*g**3/24 + 39*g**2/2 + 26. Let d(w) be the second derivative of x(w). Solve d(l) = 0.
-1, 11
Suppose 8 = -4*z + i, 10*z - 2*i = 15*z - 55. Find d such that 2*d**4 + 2/5*d**5 - 32/5 + 16*d - 10*d**2 - 2*d**z = 0.
-4, 1
Let g be 4 + (131670/1000)/(-33). Let n(i) be the third derivative of 12*i**2 + 0 - 3/40*i**4 + g*i**5 + 0*i + 1/5*i**3. Factor n(w).
3*(w - 2)*(w - 1)/5
Let k(b) = 13*b**2 - 74*b - 102. Let x be k(7). Let l(t) be the first derivative of 0*t - 4*t**3 - 2*t**2 - 4/5*t**5 - x - 3*t**4. Find u, given that l(u) = 0.
-1, 0
Let y be (10 - (18 + -8)) + 8/(-334). Let c = y + 386/2171. Solve -c*j**4 + 6/13*j**2 - 4/13 + 2/13*j - 2/13*j**3 = 0.
-2, -1, 1
Let f be ((-4170)/1112)/((-10)/4). Suppose 0 + a**2 + 1/6*a**3 + f*a = 0. Calculate a.
-3, 0
Let x(b) be the second derivative of -1/10*b**5 + 0 + 150*b + 2*b**2 - 1/3*b**4 + 1/3*b**3. Find k such that x(k) = 0.
-2, -1, 1
Let f(c) be the first derivative of -28/3*c**3 + 0*c + 126 - c**4 - 12*c**2. Factor f(t).
-4*t*(t + 1)*(t + 6)
Let n(l) = -l**2 + 669*l - 78948. Let k be n(153). Suppose -2 = -0*d - d. Factor 2/19*g**4 + 0*g + 8/19*g**3 + 8/19*g**d + k.
2*g**2*(g + 2)**2/19
Let t(j) = 4*j + 179. Let p be t(-40). Find f such that 205*f**2 + 27*f**4 + p + 17 + 161*f + 43*f - 18*f**4 + 3*f**3 + 71*f**3 = 0.
-3, -2, -2/9
Let g(d) be the first derivative of -13*d**4/2 + 2*d**3/3 + 13*d**2 - 2*d - 1461. Suppose g(k) = 0. Calculate k.
-1, 1/13, 1
Let o = 15984 - 47948/3. Let j(z) be the first derivative of -2*z**2 - o*z**3 - 3 + 4*z + z**4. Factor j(c).
4*(c - 1)**2*(c + 1)
Let d(p) = 2*p - 5. Let q be d(4). Let c be (-441)/42 + 9 + (-1)/(-2)*4. Find a such that -c*a**4 + 0*a**2 - 1/2*a**q + 0 + 0*a = 0.
-1, 0
Determine b so that -171*b - 729 - 612*b - 70*b + 121*b - 3*b**2 = 0.
-243, -1
What is w in 625 + 262*w**3 - 649*w**2 + 1/2*w**5 + 24*w**4 - 525/2*w = 0?
-25, -1, 1, 2
Let c(r) be the first derivative of r**6/15 + 18*r**5/25 - 33*r**4/10 - 434*r**3/15 + 816*r**2/5 - 1152*r/5 + 489. Suppose c(i) = 0. What is i?
-8, 1, 3
Let c = 26 - 24. Suppose -2 = -c*h + h. Suppose 3*l**2 + 320 - 4*l**2 + 3*l**2 + 80*l + 3*l**h = 0. What is l?
-8
Determine t, given that 36*t**4 + 108*t**3 + 176/3*t + 32/3 + 120*t**2 = 0.
-1, -2/3
Let o be -1 - 4*(-1)/(-2). Let r be 7/o + 196/84. Factor 0 + r*t**2 + 0*t**3 + 2/7*t**5 - 2/7*t**4 + 0*t.
2*t**4*(t - 1)/7
Let k(d) be the third derivative of -d**8/882 + d**7/45 + 2*d**6/63 - 13*d**5/630 - 20*d**2 + 26*d. Find l such that k(l) = 0.
-1, 0, 1/4, 13
Let f be ((-3)/((-45)/(-70)))/(-385 + 384). Determine y, given that 0 + 8/9*y + 10/3*y**4 + 4/9*y**3 - f*y**2 = 0.
-4/3, 0, 1/5, 1
Suppose 142*j - 44 = 131*j. Suppose z + 9 = 4*m + 3, 0 = -3*m - j*z + 14. Factor -5/2*q + 0*q**m + 5/6*q**3 - 5/3.
5*(q - 2)*(q + 1)**2/6
Let f(p) = 34*p + 146. Let h be f(-17). Let r be (h/45 - -10) + 188/30. Determine s so that -8/3 - 8/3*s**2 + 4/3*s**5 + 16/3*s**3 + 16/3*s**4 - r*s = 0.
-2, -1, 1
Factor -55*i**3 + 440 + 442 - 882 - 5*i**5 + 60*i**4.
-5*i**3*(i - 11)*(i - 1)
Determine n, given that 5*n**2 + 9 - 20 + 12 + 14 - 12*n - 8*n = 0.
1, 3
Let r(f) = 5*f**2 - 10*f + 28. Let a(u) = -11 + 15*u - 9*u**2 - 25 - 24 + 5. Let x(i) = -4*a(i) - 7*r(i). Solve x(b) = 0.
-6, -4
Let y(r) = 7*r**3 + 29*r**2 + 25*r + 3. Let b(w) = 6*w**3 + 27*w**2 + 26*w + 5. Let l(i) = -6*b(i) + 5*y(i). Solve l(u) = 0 for u.
-15, -1
Let s(d) = 22*d**3 + 7*d**2 - 4*d - 2. Let o be s(2). Let a be (-2)/9 + -5 + o/36. Find l such that a*l**2 + 1/6*l - 1/3 = 0.
-2, 1
Let f(x) be the third derivative of -x**6/120 - x**5/15 + 5*x**4/24 + 82*x**2 + 8. Factor f(s).
-s*(s - 1)*(s + 5)
Let h(g) be the third derivative of 0 + 0*g**3 + 0*g - 1/180*g**6 + 7/180*g**5 - 1/90*g**7 + 1/36*g**4 + 60*g**2. Determine z so that h(z) = 0.
-1, -2/7, 0, 1
Solve -146*w**2 + 87*w**2 + 685*w + 54*w**2 - 1350 = 0 for w.
2, 135
Let s = 11537/30 - 5761/15. Suppose -29/2*q + s*q**2 + 27 = 0. What is q?
2, 27
Let j = 66852 - 66849. Let g be 18/(-5) + (4 - 0). Factor 1/5*i**j - 7/5*i + g*i**2 + 4/5.
(i - 1)**2*(i + 4)/5
Let p(n) = -92*n**3 + 1447*n**2 - 3827*n + 180. Let c(w) = -37*w**3 + 576*w**2 - 1531*w + 72. Let d(u) = -13*c(u) + 5*p(u). Suppose d(g) = 0. Calculate g.
1/21, 6
Let d(w) be the first derivative of -2*w**5/5 + 1852*w**4 - 3429904*w**3 + 3176091104*w**2 - 1470530181152*w + 1800. Factor d(s).
-2*(s - 926)**4
Let g(h) be the third derivative of -7/90*h**6 - 1/1008*h**8 + 0*h + 5/8*h**4 - 98 + 1/63*h**7 + 1/30*h**5 + 3*h**2 + 0*h**3. What is b in g(b) = 0?
-1, 0, 3, 5
Let r(n) = 8*n**3 + 28*n**2 + 32*n - 12. Let t(x) = 2*x**3 - x - 1. Let m(a) = r(a) - 12*t(a). Determine d so that m(d) = 0.
-1, 0, 11/4
Suppose 856 = l - 5624. Factor -360*p**2 + 186997*p**3 + 5*p**4 - 186997*p**3 + l.
5*(p - 6)**2*(p + 6)**2
Suppose -29*b - 320 = -37*b. Suppose b = -112*p + 120*p. Factor 1/5*c**p + 0 + 8/5*c - 6/5*c**3 - 4/5*c**2 + 1/5*c**4.
c*(c - 2)*(c - 1)*(c + 2)**2/5
Let x = 230 - 250. Let a(f) = -5*f**2 - 18*f - 15. Let h(r) = 16*r**2 + 56*r + 44. Let k(g) = x*a(g) - 6*h(g). Factor k(j).
4*(j + 3)**2
Let i(t) be the third derivative of -t**8/252 + t**7/35 + 32*t**6/45 + 83*t**5/45 - t**4/6 - 55*t**3/9 - 1226*t**2. What is s in i(s) = 0?
-5, -1, 1/2, 11
Let v(b) be the second derivative of b**5/130 - b**4 + 25*b**3/13 + 154*b**2/13 - 2*b + 201. Factor v(s).
2*(s - 77)*(s - 2)*(s + 1)/13
Suppose -84 = -2*y - 4*v, 5*y + 27 = 6*y - v. Let -34*t**2 - 23*t**2 - y + 8*t + 61*t**2 + 0*t = 0. What is t?
-4, 2
Let n be (-9328)/(-1590) + 4/30. Let l(u) be the first derivative of 2/3*u**3 + n*u + 14 + 4*u**2. Factor l(o).
2*(o + 1)*(o + 3)
What is p in -6*p**3 - 5 + 5*p**3 + 7 + 247*p - 40 - 122*p**2 - 86 = 0?
-124, 1
Suppose -58 = -11*v - 18*v. Solve 0*d - 12*d**2 - 6*d**2 - 2*d + d**3 + 17*d**v = 0.
-1, 0, 2
Factor -13*m**2 + m**3 + 93*m + 112*m - 209*m - 48 + 50*m.
(m - 8)*(m - 3)*(m - 2)
Let c be (-12)/(-6) - (136 + -134). Suppose 2*b - 5*b = 0. Factor c*x - 3/2*x**3 + b