2*b + 1715. Let f(c) = 10*c**3 - 77*c**2 - 483*c + 3430. Let z(y) = 3*f(y) - 7*p(y). Factor z(r).
-5*(r - 7)**2*(r + 7)
Let y(c) be the first derivative of -1/28*c**4 - 2*c + 5 + 3/140*c**5 + 3/14*c**2 - 1/14*c**3. Let b(a) be the first derivative of y(a). Solve b(i) = 0 for i.
-1, 1
Let u be ((-45)/(-6))/((-27)/(-18)). Factor 944*p**2 + 15*p**4 - 23*p**3 + 8*p**3 - 939*p**2 - u*p**5.
-5*p**2*(p - 1)**3
Suppose 4*f = -2*i + 16, 5*i = 3*f - f + 40. Let z be (i/54)/(2/18*6). Find n, given that -4/9*n + 0 - z*n**2 = 0.
-2, 0
Let p(f) be the first derivative of -224/5*f**3 - 4/25*f**5 - 196*f**2 - 1372/5*f + 15 - 22/5*f**4. Factor p(r).
-4*(r + 1)*(r + 7)**3/5
Let q be 12/390*10*-7*(-6)/84. Factor 2/13*n**4 + 0*n + q*n**5 + 0 + 0*n**3 + 0*n**2.
2*n**4*(n + 1)/13
Let u(z) be the third derivative of -z**10/24192 + z**8/1792 - z**7/1008 + 17*z**4/12 + 18*z**2. Let l(x) be the second derivative of u(x). Factor l(f).
-5*f**2*(f - 1)**2*(f + 2)/4
Let t(d) be the first derivative of 2*d**5/15 - 16*d**3/9 + 32*d/3 - 91. Factor t(n).
2*(n - 2)**2*(n + 2)**2/3
Suppose -2*w + 5*n + 15 = 0, 0 = n + 4*n + 15. Suppose w = -5*q + 12 + 3. Determine b so that 2/3*b**q - 2/3*b + 2/3*b**2 - 2/3 = 0.
-1, 1
Let z(n) = -15*n**3 + n**2 + 11*n - 5. Let w(m) = -m**2 - m. Suppose 5 = 13*g - 8*g. Let p(f) = g*z(f) - 4*w(f). Determine k, given that p(k) = 0.
-1, 1/3, 1
Let p(m) be the third derivative of m**7/420 + m**6/120 - m**5/15 - 3*m**4/8 - 3*m**3/4 + 927*m**2. Factor p(w).
(w - 3)*(w + 1)**2*(w + 3)/2
Let i(o) = o**2 + 6*o + 14. Let r(c) = c**2 - 10*c - 8. Let n be r(9). Let f(b) = 2*b**2 + 17*b + 43. Let z(q) = n*i(q) + 6*f(q). Factor z(m).
-5*(m - 2)*(m + 2)
Suppose -36/7*a**5 + 408/7*a**4 + 192/7 + 1396/7*a + 2480/7*a**3 + 3240/7*a**2 = 0. Calculate a.
-3, -1, -1/3, 16
Let h = -36378/5 - -7348. Let n = -72 + h. Determine t so that 0*t**2 + n*t**3 - 6/5*t + 4/5 = 0.
-2, 1
Factor 0*k**3 + 9/2*k**2 - 81/4 - 1/4*k**4 + 0*k.
-(k - 3)**2*(k + 3)**2/4
Let x(s) be the third derivative of s**7/735 - s**6/84 + s**5/70 + 3*s**4/28 - 11*s**2 + 3*s. Suppose x(g) = 0. Calculate g.
-1, 0, 3
Factor -3*x - 16 + 1/4*x**2.
(x - 16)*(x + 4)/4
Let o = 1904 - 1889. Factor 3/2 + 15/2*u + 15/2*u**4 + o*u**2 + 15*u**3 + 3/2*u**5.
3*(u + 1)**5/2
Let p be (1/2)/(1/6). Suppose -24*r**4 - 4*r + 112*r**2 + 14 - 18 - 68*r**p - 12 = 0. What is r?
-4, -1/3, 1/2, 1
Let z(m) be the third derivative of m**5/8 - 4*m**4/3 - 7*m**3/3 + 408*m**2. Solve z(o) = 0.
-2/5, 14/3
Let m(o) be the second derivative of -o**8/2688 + o**7/504 + o**6/72 - o**5/6 - o**4 - 4*o. Let r(z) be the third derivative of m(z). Solve r(p) = 0.
-2, 2
Let l(r) be the third derivative of 8*r**2 + 0 + 3/280*r**6 + 1/490*r**7 + 0*r**3 + 1/56*r**4 + 3/140*r**5 + 0*r. Factor l(k).
3*k*(k + 1)**3/7
Let h(b) = 5*b**2 - 498*b + 11997. Let k(i) = 20*i**2 - 1990*i + 47990. Let n(v) = 15*h(v) - 4*k(v). Factor n(q).
-5*(q - 49)**2
Let r = 28272 - 141359/5. Factor 0*q + 64/5*q**2 + 0 + 16/5*q**3 + r*q**4.
q**2*(q + 8)**2/5
Let m(k) be the second derivative of -k**4/24 - 13*k**3/12 - 11*k**2/2 - 41*k + 2. Factor m(i).
-(i + 2)*(i + 11)/2
Let h(y) be the second derivative of -2*y**7/7 - 7*y**6/5 - 15*y**5/16 - 3*y**4/16 + 74*y. Determine c, given that h(c) = 0.
-3, -1/4, 0
Let n be (2/6)/(39/78). Let v(k) be the first derivative of 1/12*k**4 - 9 + 5/6*k**2 - n*k - 4/9*k**3. Find c, given that v(c) = 0.
1, 2
Let w(g) = -2*g**2 + 26*g - 21. Let u be w(12). Suppose -2*a = -u*z + 5, 5*z = a + 19 - 6. Factor -3/4*v**z - 9/4*v + 9/4*v**2 + 3/4.
-3*(v - 1)**3/4
Let o be ((-4)/(-18))/(49656/36). Let g = 608281/31035 + o. Let -16/5*l - 154/5*l**4 + g*l**5 - 132/5*l**3 + 0 + 104/5*l**2 = 0. What is l?
-1, 0, 2/7, 2
Let l(o) be the second derivative of -1/30*o**5 - 1/45*o**6 + 0*o**2 - 5*o + 0*o**3 + 0 + 0*o**4. Factor l(w).
-2*w**3*(w + 1)/3
Let b(v) be the third derivative of v**6/540 + 7*v**5/135 + 43*v**4/108 + 10*v**3/9 - 6*v**2 - 2*v. Find f, given that b(f) = 0.
-10, -3, -1
Suppose 0*a - 3 = -a. Suppose 2*q + 4*g = 6, -q + a = -4*g - 0. Solve -2*m + 3*m + m - 2*m**2 - m**3 - q*m = 0 for m.
-1, 0
Let g(t) be the first derivative of -4 + 1/2*t**4 + 0*t + 2/9*t**3 - 2/3*t**2. Suppose g(v) = 0. What is v?
-1, 0, 2/3
Let t = 125269/11 - 11388. Factor t*z**2 - 6/11*z + 8/11.
(z - 4)*(z - 2)/11
Let -10/3 + 1/6*x**2 + 19/6*x = 0. What is x?
-20, 1
Determine x, given that -1/4*x**5 + x**4 + 27/4*x + 0 - 9*x**2 + 3/2*x**3 = 0.
-3, 0, 1, 3
What is p in 9/2 + 1/6*p**2 + 2*p = 0?
-9, -3
Let h(m) be the third derivative of -12*m**2 + 1/15*m**5 + 1/6*m**4 + 0*m - 4/3*m**3 + 0. Suppose h(j) = 0. Calculate j.
-2, 1
Let x(u) be the first derivative of 2*u**3/9 - 8*u**2 - 50*u/3 - 2. Solve x(f) = 0.
-1, 25
Let o(j) be the second derivative of -j**4/6 + 7*j**3/3 - 6*j**2 + 555*j. Factor o(i).
-2*(i - 6)*(i - 1)
Let j(o) = -5*o**2 - 15*o - 6. Let m be j(-4). Let a = m + 107/4. Determine l, given that -3/2 + a*l + 3/4*l**2 = 0.
-2, 1
Let q(f) be the third derivative of f**6/30 - 13*f**5/10 + 19*f**4/12 - 50*f**2. What is k in q(k) = 0?
0, 1/2, 19
Let g(y) be the first derivative of -1/21*y**3 + 9 - 1/14*y**2 + 0*y. What is n in g(n) = 0?
-1, 0
Suppose 4*h - 3*f - 40 = 0, 34 = 2*h - 0*f - 5*f. Find k such that -h*k**4 + 2*k**5 + 3*k**4 + 2*k**4 = 0.
0, 1
Suppose -5 = -5*d + 20. Suppose -3 = -5*l + 5*i + 17, d*l + 4*i = 2. Factor -v**l + 3*v**2 - 2*v + 0*v**2.
2*v*(v - 1)
Let w = -40 - -46. Suppose -6*b**2 - 5*b**2 - 3*b**3 - w*b**2 - b**2 - 27*b = 0. Calculate b.
-3, 0
Let m = 6 - 7. Let a = m + 5. Factor q**a - 5 + 5 - 2*q - 3*q**2.
q*(q - 2)*(q + 1)**2
Let i(t) = -t**2 + 10*t + 14. Let o be i(11). Determine q, given that -3*q**3 - 2*q**3 + o*q**3 + 6*q - 8*q + 4*q**2 = 0.
0, 1
Factor -20/3 + 5*x**2 - 4/3*x - 1/3*x**4 - 2/3*x**3.
-(x - 2)**2*(x + 1)*(x + 5)/3
Let p be (2/(-6))/((-35)/3). Let k(f) be the third derivative of -1/15*f**6 + 8*f**2 + 0 + 0*f + 1/30*f**5 + 1/6*f**4 + 0*f**3 - p*f**7. Factor k(n).
-2*n*(n + 1)**2*(3*n - 2)
Let n(k) be the third derivative of k**7/1155 + 7*k**6/660 - 9*k**5/110 + 29*k**4/132 - 10*k**3/33 - 3*k**2 + 8. Factor n(d).
2*(d - 1)**3*(d + 10)/11
Let m = -3/407 - -470/8547. Let d(n) be the second derivative of 1/3*n**4 + 0 + 0*n**2 + 0*n**3 + m*n**7 + 4/15*n**6 + n + 1/2*n**5. Let d(z) = 0. Calculate z.
-2, -1, 0
Let j(r) be the third derivative of -1/1140*r**6 - 1/285*r**5 - 4*r**2 + 0*r**3 + 0*r**4 + 0*r + 0. Factor j(c).
-2*c**2*(c + 2)/19
Let f(b) be the second derivative of -35/12*b**4 - 30*b**2 + 0 - 1/4*b**5 - 9*b - 40/3*b**3. Let f(v) = 0. What is v?
-3, -2
Let o(c) be the third derivative of c**5/240 - 73*c**4/24 + 5329*c**3/6 + 16*c**2 - 3*c. Factor o(x).
(x - 146)**2/4
Let v(j) be the third derivative of 1/84*j**4 + 1/210*j**5 + 55*j**2 + 0*j + 0 + 0*j**3. Factor v(m).
2*m*(m + 1)/7
Suppose 10 = -n + 2*n - 5*q, -2*n = q + 2. Suppose -l - 10 = -5*j - n*l, -3*j + 6 = 5*l. Factor 0*z**j - 12*z + 15*z + 4*z**2 - 13*z**2.
-3*z*(3*z - 1)
Let w(j) = -39*j**3 - 28*j**2 - 11*j + 38. Let c(p) = -204*p**3 - 141*p**2 - 54*p + 189. Let b(u) = 4*c(u) - 21*w(u). Find f such that b(f) = 0.
-7, -2, 1
Let k(s) = -2*s**2 + 69*s - 514. Let b be k(11). Find u, given that 0 - 2/5*u**2 - u**b + 0*u - 4/5*u**4 - 1/5*u**5 = 0.
-2, -1, 0
Suppose 48 = 117*d - 11*d - 164. Find i, given that -11/5 - 2*i + 1/5*i**d = 0.
-1, 11
Let s(f) be the first derivative of -8 + 3/5*f + 9/20*f**4 - 9/10*f**2 - 1/5*f**3. Factor s(g).
3*(g - 1)*(g + 1)*(3*g - 1)/5
Let l(u) be the first derivative of -u**5/150 - 8*u**4/15 - 256*u**3/15 - 9*u**2 - 30. Let t(g) be the second derivative of l(g). What is f in t(f) = 0?
-16
Let q(l) = -l**2 + 12*l - 9. Let o be q(9). Suppose -102*h**2 - 3*h**4 + 252*h**2 + 24 + 81*h**3 + 108*h + o*h**4 = 0. What is h?
-2, -1, -2/5
Let s(k) = k**3 - 2*k**2 + 10. Let u be s(0). Suppose -x + u = -3*w, -5*w = x + 1 + 5. Find r such that 0*r + 0 + 14/5*r**x - 4/5*r**2 - 2*r**3 = 0.
-2/7, 0, 1
Let p be 12/(-247) + 1/26*4. Find g such that p*g - 2/19*g**2 + 0 = 0.
0, 1
Suppose -g = 4*k - 229, 2*k - 10 = g - 263. Factor 11*t**3 - 84*t**2 - 1/2*t**4 + g*t - 343/2.
-(t - 7)**3*(t - 1)/2
Let t(u) = u**3 - u**2 - u - 9. Let r be t(0). Let j be 4*(-2)/r*(-3)/(-2). Factor 8/3*y**2 - 2/3*y**3 - 10/3*y + j.
-2*(y - 2)*(y - 1)**2/3
Let d(z) = z**2 - 1. 