r z(b).
3*b**2*(b - 2)*(b + 1)**2/4
Find u, given that 1/7*u**2 + 5/7 - 6/7*u = 0.
1, 5
Let j(v) be the first derivative of 16 + 0*v**2 + 0*v - 14/25*v**5 - 8/15*v**3 + 11/10*v**4. Factor j(x).
-2*x**2*(x - 1)*(7*x - 4)/5
Factor -1/4*x**2 + 27/2*x - 53/4.
-(x - 53)*(x - 1)/4
Let m(i) be the third derivative of -i**8/1512 + 4*i**7/945 - i**6/108 + i**5/135 + 76*i**2. Suppose m(b) = 0. Calculate b.
0, 1, 2
Let u(a) be the first derivative of -2*a**5/25 - 11*a**4/10 - 52*a**3/15 - 16*a**2/5 - 110. What is l in u(l) = 0?
-8, -2, -1, 0
Let u(j) = -2*j - 34. Let g be u(-19). What is o in 192 - 96*o - 13*o**4 + 12*o**g - 32*o**4 - 181*o**2 + 49*o**2 + 120*o**3 + 3*o**5 = 0?
-1, 2, 4
Let z(j) = -j**2 - 14*j - 21. Let h be z(-12). Suppose 3*a + 6 = d + h, 3*a + 3 = 3*d. Determine t so that 1/3*t + t**3 + d - 1/3*t**4 - t**2 = 0.
0, 1
Let u(l) be the third derivative of -2/735*l**7 + 0*l + 1/168*l**6 - 14*l**2 - 1/210*l**5 + 0*l**4 + 0 + 0*l**3 + 1/2352*l**8. Suppose u(y) = 0. What is y?
0, 1, 2
Factor -6609*g**3 - 10 + 6614*g**3 - 5*g**4 - 5*g + 12*g**2 + 3*g**2.
-5*(g - 2)*(g - 1)*(g + 1)**2
Let t(f) be the third derivative of f**7/420 + f**6/240 - f**5/40 - 5*f**4/48 - f**3/6 - 2*f**2 + 54*f. Solve t(x) = 0 for x.
-1, 2
Let r(u) be the second derivative of u**6/2520 + u**5/280 + u**4/84 + 2*u**3/3 + 17*u. Let i(c) be the second derivative of r(c). Determine a so that i(a) = 0.
-2, -1
Let a(n) be the first derivative of 2*n**5/35 - 3*n**4/7 + 8*n**3/21 + 6*n**2/7 - 10*n/7 - 356. Find p, given that a(p) = 0.
-1, 1, 5
Let l(g) = 55*g**2 - 255*g + 415. Let u(k) = 13*k**2 - 63*k + 104. Let z(y) = -6*l(y) + 25*u(y). Solve z(c) = 0 for c.
-11, 2
Suppose -6 - 3 = 6*y - 21. Let a be 2/4 - 10/(-12). Factor 1/2*o**4 - 1/6 + a*o**3 + o**y + 0*o.
(o + 1)**3*(3*o - 1)/6
Solve -529*c**3 + 10*c**2 - 533*c**3 + 1064*c**3 = 0.
-5, 0
Let j(n) = 5*n**2 - 15*n - 15. Let q(z) = -5*z**2 + 16*z + 18. Let p(r) = -6*j(r) - 5*q(r). Solve p(y) = 0.
0, 2
Suppose -11 = 2*v - 3*h, 2 = 3*v - 7*v + 2*h. Factor -13*n - n - 6*n + 5*n**v - 10*n + 45.
5*(n - 3)**2
Let d(h) be the third derivative of -1/84*h**8 - 16*h**2 + 0 + 0*h**3 + 0*h**5 - 4/105*h**7 + 0*h**4 + 0*h - 1/30*h**6. What is n in d(n) = 0?
-1, 0
Let a be (1 + 1/(-1))/(-199 - -196). Let 3/2*b**4 + a*b**3 + 0 - 3*b - 9/2*b**2 = 0. Calculate b.
-1, 0, 2
Let w be -1 - 3/3*-3. Suppose 0 = -5*t - g + 8, -4 = -4*t - 5*g + 3*g. Factor -2*o**w + 2*o + 6*o**2 + 1 - o**t - 2*o**2.
(o + 1)**2
Suppose 3*g - 29 = -4*s, 26*s = -3*g + 27*s + 4. Find t such that -1/4*t**2 + 0 - 1/4*t**g + 0*t = 0.
-1, 0
Suppose -3*d + 120 = -u, -9 - 1 = -5*d. Let k = u + 116. Let 4/9 - 2/9*f**k - 2/9*f = 0. What is f?
-2, 1
Let m(l) = l**2 + 102*l + 867. Let h(b) = b**2 + 204*b + 1734. Let w(k) = 2*h(k) - 5*m(k). Find r, given that w(r) = 0.
-17
Suppose -2*f - 275 = -5*b, f = 3*b + 5 - 143. Let t be (9/25)/((-3)/f). Determine d, given that -27/5*d**2 + 81/5*d - t + 3/5*d**3 = 0.
3
Determine z so that -10/7*z**3 - 4*z**2 + 4/7 - 2*z = 0.
-2, -1, 1/5
Let a(j) be the third derivative of 5*j**8/168 + 17*j**7/105 + j**6/20 - 3*j**5/10 + 191*j**2 - 1. Find m, given that a(m) = 0.
-3, -1, 0, 3/5
Let -2/3*b + 16 - 1/3*b**2 = 0. Calculate b.
-8, 6
Let l(y) be the third derivative of -4*y**2 + 0 + 0*y**3 - 1/30*y**5 + 1/12*y**4 - 6*y. Find s, given that l(s) = 0.
0, 1
Find m such that 43/2*m**2 + 441/2 - 1/2*m**3 - 483/2*m = 0.
1, 21
Let q be ((-444)/(-420) + -1)*10 + 1. Find o such that q*o**3 + 8/7 + 1/7*o**5 - 12/7*o - 6/7*o**4 - 2/7*o**2 = 0.
-1, 1, 2
Let p = 3579/4 + -32203/36. Factor p*t**3 + 4/9*t + 2/3*t**2 + 0.
2*t*(t + 1)*(t + 2)/9
Let k(f) be the second derivative of -f**6/10 - 3*f**5/20 + 206*f. What is a in k(a) = 0?
-1, 0
Let q(o) = 5*o**3 - o**2 + o + 1. Let u be q(1). Let a(z) be the third derivative of 1/18*z**4 - 1/360*z**u + z**2 + 0 + 0*z**3 + 0*z + 0*z**5. Factor a(r).
-r*(r - 2)*(r + 2)/3
Let p(u) be the second derivative of -u**5/160 - 7*u**4/48 - 5*u**3/4 - 9*u**2/2 + 26*u + 3. Let p(c) = 0. Calculate c.
-6, -2
Suppose 2*o + 2*o - 37 = -5*k, 0 = -k + 3*o - 4. Factor -35*j + 70 + 4*j**2 + 30 - k*j.
4*(j - 5)**2
Let i(l) be the first derivative of 1/21*l**6 - 1/14*l**4 + 0*l**2 + 2/21*l**3 + 7 + 0*l - 2/35*l**5. Factor i(p).
2*p**2*(p - 1)**2*(p + 1)/7
Let g(h) = h**2 + 2*h + 3. Let u be g(0). Find q such that -57*q**2 + 153*q - 9*q**u - 8 - 252*q - 19 = 0.
-3, -1/3
Let y be -4*(-16)/(-3840)*-12. Let s be 0/(-2) + (-3)/(-15). Suppose 0 + s*d + 0*d**2 - y*d**3 = 0. What is d?
-1, 0, 1
Let r(w) = w**2 + 10*w + 12. Let z be r(-9). Factor 4*u**4 - 2*u**z + u + u - 1 - 3*u**4.
(u - 1)**3*(u + 1)
Find c such that 3/4*c**2 + 0 - 3/4*c**3 - 1/4*c + 1/4*c**4 = 0.
0, 1
Let i(s) be the second derivative of -7*s**4/3 - s**3/6 + 3*s**2 - 12*s. Let z(q) = -28*q**2 - q + 5. Let t(n) = -3*i(n) + 4*z(n). Factor t(c).
-(4*c - 1)*(7*c + 2)
Let c(b) be the third derivative of -5/12*b**4 + 0 + 0*b + 5/2*b**3 - 35*b**2 - 5/12*b**5. Factor c(w).
-5*(w + 1)*(5*w - 3)
Let m(r) be the second derivative of -r**7/315 + r**6/90 + r**5/30 - r**4/9 - 4*r**3/9 - 11*r**2/2 - 5*r. Let c(g) be the first derivative of m(g). Factor c(k).
-2*(k - 2)**2*(k + 1)**2/3
Suppose 2*z - 15 = -5. Suppose 12 + 8 = z*r. Factor -36*q**3 + 17*q**3 - 24*q**4 - 36*q - 37*q**3 - 8 - 64*q**2 - r*q**5.
-4*(q + 1)**4*(q + 2)
Let u(r) be the second derivative of r**7/3024 - r**6/864 - r**5/24 + 11*r**4/6 + 28*r. Let m(x) be the third derivative of u(x). Factor m(s).
5*(s - 3)*(s + 2)/6
Let y(u) = -7*u**4 - 21*u**3 + 6*u**2 + 47*u + 37. Let o(s) = 8*s**4 + 22*s**3 - 6*s**2 - 46*s - 38. Let v(w) = -5*o(w) - 6*y(w). Factor v(x).
2*(x - 2)*(x + 1)**2*(x + 8)
Suppose 81 + 34*q**2 - 11*q**3 - q**3 - 159*q + 41*q**2 + 8*q**3 + 7*q**3 = 0. What is q?
-27, 1
Let g(r) = -11*r**4 + 91*r**3 - 270*r**2 - 12*r + 352. Let o(u) = -7*u**4 + 61*u**3 - 180*u**2 - 8*u + 235. Let w(v) = -5*g(v) + 8*o(v). Factor w(a).
-(a - 30)*(a - 2)**2*(a + 1)
Let s(b) be the third derivative of -b**5/150 + 17*b**4/60 + 4*b**3 + 4*b**2 - 72. Factor s(i).
-2*(i - 20)*(i + 3)/5
Let n(d) be the third derivative of d**7/70 - d**6/40 - d**5/4 - 3*d**4/8 - 420*d**2. Factor n(b).
3*b*(b - 3)*(b + 1)**2
Let s(j) be the second derivative of j**5/90 - j**4/36 + 15*j**2/2 - 6*j. Let r(i) be the first derivative of s(i). Solve r(a) = 0.
0, 1
Let o be (-3 + 6/3)/(7/42). Let z be ((-210)/(-4))/(-5)*o/42. Factor -1/2*f**2 + z*f + 0.
-f*(f - 3)/2
Let t(q) be the third derivative of q**3 + 3/4*q**4 + 0*q - 10*q**2 - 13/40*q**5 + 1/32*q**8 + 9/140*q**7 + 0 - 19/80*q**6. Let t(d) = 0. Calculate d.
-2, -1, -2/7, 1
Suppose -13*n + 15*n - 5 = m, 0 = 3*n - 4*m - 20. Determine f so that 1/3*f**3 + 2/3*f**2 + 1/3*f + n = 0.
-1, 0
Let v(l) = 30*l**4 + 34*l**3 - 23*l**2 - 23*l + 9. Let s = 32 - 37. Let w(c) = -15*c**4 - 17*c**3 + 11*c**2 + 11*c - 4. Let h(p) = s*w(p) - 2*v(p). Factor h(k).
(k + 1)**2*(3*k - 2)*(5*k - 1)
Let p(x) be the first derivative of 2*x**6/3 + 8*x**5/5 - x**4 - 8*x**3/3 - 45. Factor p(m).
4*m**2*(m - 1)*(m + 1)*(m + 2)
Suppose -3*t + 14 = 4*t. What is s in 22*s**3 + s**5 + 9*s + 16*s**t + 8*s**4 + 21*s**2 + 0*s - 13*s**2 = 0?
-3, -1, 0
Suppose 0 = 19*j - 36 - 21. Suppose 0 = -7*i + 17 - j. Factor -c - 3/2 - 1/6*c**i.
-(c + 3)**2/6
Let o(g) be the second derivative of 0*g**2 - 2/105*g**6 + 1/21*g**3 - 1/147*g**7 + 0*g**5 + 0 + g + 1/21*g**4. Suppose o(b) = 0. Calculate b.
-1, 0, 1
Let f(v) be the third derivative of v**8/171360 - v**7/10710 + v**6/2040 + v**5/12 + 4*v**2. Let b(p) be the third derivative of f(p). Let b(r) = 0. What is r?
1, 3
Let a(z) be the first derivative of 2*z**6/3 - 8*z**5/5 - 8*z**4 + 64*z**3/3 + 32*z**2 - 128*z + 159. What is b in a(b) = 0?
-2, 2
Suppose -2*k + 2*j = -0*k + 194, -3*k - 293 = -2*j. Let d = k - -503/5. Determine x, given that 0 + 4/5*x + 2/5*x**4 + d*x**3 + 2*x**2 = 0.
-2, -1, 0
Suppose -5*q + 10*q - 3*a - 735 = 0, -a = -5. Let k = q + -148. What is x in 0 - 4/3*x + 4/3*x**k - 1/3*x**3 = 0?
0, 2
Suppose 7*w = 8 + 6. Let d = 2 + 0. Factor 2*s - 2 + 4*s - s - w*s**d - s.
-2*(s - 1)**2
Let u(t) = 5*t**3 + 5*t**2 - t - 3. Let x(l) = -l**3 - l**2 - l + 1. Let c be (8/6)/((-10)/15). Let d(n) = c*u(n) - 6*x(n). Find f such that d(f) = 0.
-2, 0, 1
Suppose -14 = -4*o + 2*h, -o - h + 20 = 4*h. Find g such 