53726*a**4 + 96253728*a**4 + 594*a**2 + 196 - 202*a**3 + 250*a - 840*a.
2*(a - 98)*(a - 1)**3
Let v = 745720 + -1477157/2. Solve 207*h + 3/2*h**2 + v = 0.
-69
Suppose 3*l = -2*t + 83, 3*l - 70 = -5*t + 25. Solve 43*a - 3*a**3 + 73 - l - 21*a**2 - 67*a = 0.
-4, 1
Let p = 228103 + -228101. Suppose 3 + 1/4*n**p - 2*n = 0. Calculate n.
2, 6
Let s = -103 - -106. Let y be s/(-5)*20/(-6). Let 4*t**2 - 6*t**2 - 3*t**4 + t**3 - 2*t + 5*t**y + t**5 = 0. What is t?
-1, 0, 1, 2
Factor 9/2 - 21/4*y - y**2.
-(y + 6)*(4*y - 3)/4
Suppose 81*j - 54 = 72*j. Let x be (-258)/48 - -5 - (-3)/j. Determine b, given that 0*b - x*b**3 + 0*b**2 + 0 = 0.
0
Let d(j) = j**3 + 8083*j**2 - 7273809*j + 2179718125. Let p(a) = a**3 + 16168*a**2 - 14547618*a + 4359436243. Let v(i) = -7*d(i) + 4*p(i). Factor v(o).
-3*(o - 899)**3
Determine h so that -h**2 + 55*h + 7885 - 745*h - 32950 - 105067 + 11107 = 0.
-345
Let h(z) be the third derivative of -9*z**6/200 - z**5/25 + 11*z**4/10 + 3344*z**2. Factor h(y).
-3*y*(y - 2)*(9*y + 22)/5
Let a be 30/10 + 18 + (-2184)/208. Let a*l - 453/8*l**3 - 483/8*l**4 - 3/2 - 9/8*l**2 - 135/8*l**5 = 0. Calculate l.
-2, -1, 1/5, 2/9
Let x be ((-68)/(-18) + -4)/(7 + (-222)/27). Factor 2/11*v**2 - 24/11 - x*v.
2*(v - 4)*(v + 3)/11
Suppose 22*d**4 - 401*d**3 - 17*d**4 + 146*d**3 - 12*d**4 + 21*d**5 - 11*d**4 - 36*d**2 = 0. What is d?
-3, -1/7, 0, 4
Find j, given that -41/6*j**3 + 0 + 41/6*j - 1/6*j**2 + 1/6*j**4 = 0.
-1, 0, 1, 41
Let k(x) be the second derivative of 1089/5*x**2 + 1/30*x**4 - 68*x + 22/5*x**3 + 0. Solve k(n) = 0.
-33
Let t = 183 + -175. Let g(z) = 23*z**2 + 464*z + 3848. Let f(j) = 8*j**2 + 154*j + 1283. Let o(x) = t*f(x) - 3*g(x). Factor o(n).
-5*(n + 16)**2
Let i(b) be the first derivative of b**5/10 + 7*b**4/4 + 11*b**3/2 - b**2 - 22*b + 497. Find k such that i(k) = 0.
-11, -2, 1
Let j(z) be the first derivative of -5*z**6/18 + 106*z**5/15 - 51*z**4/2 + 332*z**3/9 - 145*z**2/6 + 6*z + 363. Determine i so that j(i) = 0.
1/5, 1, 18
Factor 0 - 4/3*w - 218/3*w**2.
-2*w*(109*w + 2)/3
Suppose -1024/5*j - 18*j**2 - 936/5 - 2/5*j**3 = 0. Calculate j.
-26, -18, -1
Let h(q) be the first derivative of 11/10*q**2 - 32 + 7/10*q**3 - 24*q + 3/20*q**4 - 1/100*q**5. Let m(x) be the first derivative of h(x). Factor m(v).
-(v - 11)*(v + 1)**2/5
Let h = -566610 + 566620. Find a such that 10 - 1/2*a**3 - h*a**2 + 1/2*a = 0.
-20, -1, 1
Let a(g) be the first derivative of -14/5*g + 38/15*g**3 + 1/4*g**4 + 19/10*g**2 + 147. Factor a(s).
(s + 1)*(s + 7)*(5*s - 2)/5
Let z(f) be the second derivative of -5*f**7/42 - 1835*f**6/2 - 1894752*f**5 - 9466880*f**4/3 - 14586*f. Suppose z(d) = 0. Calculate d.
-2752, -1, 0
Let g(w) be the third derivative of 0 + 0*w**3 + 1/14*w**4 - 1/35*w**5 + w**2 + 14*w - 3/280*w**6 + 1/784*w**8 + 1/245*w**7. Find q, given that g(q) = 0.
-2, 0, 1
Factor -2/19*p**3 + 146/19*p**2 - 286/19*p + 142/19.
-2*(p - 71)*(p - 1)**2/19
Let g(w) = -31*w**4 + 278*w**3 - 667*w**2 - 16*w + 8. Let m(r) = -20*r**4 + 185*r**3 - 445*r**2 - 10*r + 5. Let s(y) = 5*g(y) - 8*m(y). Factor s(a).
5*a**2*(a - 15)*(a - 3)
Let v(c) = -10*c**2 - 2*c - 4. Let b(d) = -d**2 + d. Suppose 0 = -z + 4*s + 21, -34 = -2*z + 4*s - 12. Let l(q) = z*v(q) - 6*b(q). Solve l(i) = 0.
-1
Let k(o) be the first derivative of 1/9*o**3 - 11 + 1/12*o**4 - 18*o + 0*o**2 + 1/60*o**5. Let p(x) be the first derivative of k(x). Solve p(z) = 0 for z.
-2, -1, 0
Let m be 20/72*8 + 0. Let p(n) = -n**2 - 23*n - 88. Let w be p(-5). Find d, given that m*d + 50/9 + 2/9*d**w = 0.
-5
Determine q, given that -843*q - 1680*q**2 + 840*q**2 - 26409267 - 16959*q + 837*q**2 = 0.
-2967
Let n(a) = -a**2 - 51*a - 642. Let s be n(-40). Let p be s/1919*38/(-8). Factor -1/2*b**2 + 1/2*b**4 + 0 + 0*b + 1/2*b**3 - p*b**5.
-b**2*(b - 1)**2*(b + 1)/2
Let p(m) = -2*m**3 - 2*m**2 - 2*m - 3. Let b be p(-2). Suppose -25*l - b = -28*l. Suppose k**3 - l*k + 43*k**2 + k**3 - k - 41*k**2 = 0. Calculate k.
-2, 0, 1
Let p(y) = -18*y**3 + 69*y**2 - 147*y + 68. Let i(g) = -g**3 + 134*g - 70*g**2 - 68 + 17*g**3 + 24*g - 12*g. Let q(t) = -7*i(t) - 6*p(t). Factor q(o).
-4*(o - 17)*(o - 1)**2
Let n(w) = -8*w + 208. Let c be n(23). Let t be (4 - 4) + (2 - c/21). Find x, given that t*x**3 + 2/7*x**4 - 6/7*x - 4/7 + 2/7*x**2 = 0.
-2, -1, 1
Let v(n) = -8*n + 84. Let q be v(-12). Let d be (-2)/11*-1 - q/(-99). Let 0*h**4 + 0 - 4/3*h**5 + 0*h - 8/3*h**d + 4*h**3 = 0. What is h?
-2, 0, 1
Let b(z) be the third derivative of -z**6/24 - 49*z**5/12 + 85*z**4/4 + 20*z**2 + 8. Factor b(h).
-5*h*(h - 2)*(h + 51)
Let l(c) be the first derivative of 5/12*c**3 + 12*c + 5/2*c**2 - 5/24*c**4 - 14. Let q(r) be the first derivative of l(r). Factor q(n).
-5*(n - 2)*(n + 1)/2
Let l = 240 + -237. Find o such that o**3 - 3*o**2 + 3 + 3*o**l - 2*o**3 - o**3 - o = 0.
-1, 1, 3
Let v(i) be the first derivative of 141*i**4/4 + 143*i**3/3 + i**2 + 11601. Factor v(q).
q*(q + 1)*(141*q + 2)
Factor 30*n - 4*n + 11*n + 4*n**4 - 40*n**2 + 4*n**3 + 11*n - 16*n.
4*n*(n - 2)*(n - 1)*(n + 4)
Let j = 87/11 + -81/11. Let x = 24370/33539 + 2/3049. Factor x*m**2 + 2/11*m**3 + j*m + 0.
2*m*(m + 1)*(m + 3)/11
Let z(o) be the first derivative of -3/8*o**2 - 38 + 1/6*o**3 + 0*o + 1/16*o**4. Determine s so that z(s) = 0.
-3, 0, 1
Let o = 386 - 285. Suppose o*l = 93*l + 16. Factor -15/2*g**4 + 0 + 27/2*g**3 + 3*g + 3/2*g**5 - 21/2*g**l.
3*g*(g - 2)*(g - 1)**3/2
Let r(i) = i**2 - 3*i. Let f(d) = 13*d + 16 + 48*d - 33*d**2 - d + 71*d. Let o(n) = f(n) - 3*r(n). Let o(k) = 0. Calculate k.
-1/9, 4
What is v in -1091/4*v**2 - 119 + 9/4*v**3 + 596*v = 0?
2/9, 2, 119
Let p(z) be the second derivative of z**5/40 - 353*z**4/24 - 709*z**3/12 - 355*z**2/4 - 7*z + 159. Factor p(o).
(o - 355)*(o + 1)**2/2
Let f(s) be the first derivative of -s**6/120 + s**4/8 + 7*s**3/3 + s**2/2 + 70. Let b(h) be the third derivative of f(h). Let b(j) = 0. Calculate j.
-1, 1
Find k such that 0 + 1/6*k**3 - 1/6*k**5 + 0*k + k**4 - k**2 = 0.
-1, 0, 1, 6
Let w be (-457)/(-406) + (-655)/(-37990). Factor 36/7 - 2/7*r**3 - w*r**2 + 6/7*r.
-2*(r - 2)*(r + 3)**2/7
Suppose 2*l - 6 = -l. Suppose 6855*f**3 - 5*f - f**l - f - f**5 + f**4 - 6848*f**3 = 0. What is f?
-2, -1, 0, 1, 3
Let w(a) be the first derivative of -5*a**5 - 15/2*a**2 + 25/3*a**3 + 5/4*a**4 + 5/3*a**6 + 66 + 0*a. Suppose w(l) = 0. What is l?
-1, 0, 1, 3/2
Factor 11/2*o**3 + 9/2*o + 1/2*o**4 + 19/2*o**2 + 0.
o*(o + 1)**2*(o + 9)/2
Suppose 20 = 4*g, -3*y - y - g = 23. Let d be 2*3*1 + 21/y. Factor -7 - d*l**2 - 6*l + 19 - 3.
-3*(l - 1)*(l + 3)
Let l be 69846/147*(-1 + -3). Let z = -1894 - l. Let -8/7 + z*b**2 + 20/7*b**5 + 143/7*b**3 - 4*b + 97/7*b**4 = 0. Calculate b.
-2, -1, -1/4, 2/5
Solve -466/7*d + 2/7*d**3 + 570/7 - 106/7*d**2 = 0 for d.
-5, 1, 57
Let p(n) = n**3 - 11*n**2 + 109*n + 138. Let l = -153 + 155. Let o(t) = 2*t**2 - 22*t - 28. Let x(v) = l*p(v) + 11*o(v). Solve x(w) = 0 for w.
-2, 4
Let n(d) = -24*d + 6. Let c be n(-1). Let -28*i**2 + 10*i**2 + 18*i**2 + 5*i**2 - 35 - c*i = 0. What is i?
-1, 7
Let w(m) be the third derivative of -m**5/510 + 41*m**4/68 - 122*m**3/51 + 19*m**2 + 52. Solve w(o) = 0 for o.
1, 122
Let n(p) be the second derivative of -p**4/4 - 316*p**3 - 1893*p**2/2 + 1850*p. What is c in n(c) = 0?
-631, -1
Let m(r) = -13*r - 11. Let l be m(-1). Solve -516*a**l + 0*a + 514*a**2 + 2*a = 0 for a.
0, 1
Let g(p) be the third derivative of -6*p**2 - 9/32*p**4 + 1/40*p**5 + 1/160*p**6 - 9/4*p**3 + 0 + 4*p. Find h such that g(h) = 0.
-3, -2, 3
Suppose -396 = -31*k + 13*k. Suppose 0 = 3*r + 4*v - 29, r + 5*v = 10*v - k. Factor 3/4*q**4 + 0*q**r - 9/4 + 6*q - 9/2*q**2.
3*(q - 1)**3*(q + 3)/4
Determine m, given that 886*m**4 + 9331*m**2 - 1360 + 54*m**5 - 1199*m**2 + 46*m**5 + 10684*m**3 + 1414*m**4 - 1712*m = 0.
-17, -5, -1, -2/5, 2/5
Let o be (-986)/(-305) - (-262)/(-7991). Determine y, given that -6*y + 4/5*y**2 - o = 0.
-1/2, 8
Let h(w) be the first derivative of 2*w**3/15 - 66*w**2/5 - 272*w/5 + 1310. Let h(j) = 0. What is j?
-2, 68
Let c be 7/21 - (-2)/(-6). Suppose -m + 2*b = 6, c = -0*m + 3*m + 5*b - 15. Let -9*o**3 - o + m*o**3 + 34*o**2 - 28*o**2 + 4*o**4 = 0. What is o?
0, 1/4, 1
Let b(l) be the second derivative of 7*l**5/20 + 587*l**4/36 + 539*l**3/18 - 9*l**2/2 - 8589*l. Factor b(a).
(a + 1)*(a + 27)*(21*a - 1)/3
Facto