 5*z**2 + x*z - 5742 - 7778.
-5*(z + 52)**2
Suppose 11*m = 27 + 28. Suppose 12 = 3*q, 0 = 2*b + 4*q - 6*q - 22. Factor -29*n**3 - 15*n**4 + 5 + 0*n**2 + m*n**5 + 10*n**2 + 39*n**3 - b*n.
5*(n - 1)**4*(n + 1)
Solve -1992/11 - 2/11*t**2 + 1000/11*t = 0 for t.
2, 498
Factor 2401 - 1/8*z**4 + 1029/8*z**2 - 7889/8*z - 35/8*z**3.
-(z - 7)**3*(z + 56)/8
Let t(l) = -25*l**4 + 55*l**3 + 60*l**2 - 110*l - 30. Let g(s) = 8*s**4 - 18*s**3 - 21*s**2 + 37*s + 9. Let f(c) = 10*g(c) + 3*t(c). Factor f(y).
5*y*(y - 4)*(y - 1)*(y + 2)
Let d(r) be the first derivative of 4*r - 148 - 1/2*r**2 - 4/27*r**3 + 1/36*r**4. Determine t, given that d(t) = 0.
-3, 3, 4
What is l in -764/7*l**2 - 4/7*l**3 - 2992/7 - 3008/7*l = 0?
-187, -2
Let x be (-70196)/1638 - -43 - (-1 + 0)*(-1)/(-13). Factor -2/9*h**4 + 2/9*h**3 - x*h + 2/9*h**2 + 0.
-2*h*(h - 1)**2*(h + 1)/9
Let -393*u**3 - 111*u + 1129*u**3 - 369*u**3 + 54 - u**4 - 368*u**3 + 59*u**2 = 0. Calculate u.
-9, 1, 6
Let y be 87/33 - (654/1744)/(6/16). Find n such that -2/11*n**5 - 14/11*n**3 + 0 - 18/11*n**4 + y*n**2 + 16/11*n = 0.
-8, -1, 0, 1
Determine h, given that -41/10*h + 1/10*h**3 - 33/10 - 7/10*h**2 = 0.
-3, -1, 11
Let o(x) = x + 2. Let c be o(0). Let h = -85967 - -257903/3. Suppose -c*w - 4/3 - h*w**2 = 0. What is w?
-2, -1
Let t(d) be the second derivative of -d**7/1260 + 7*d**6/45 - 196*d**5/15 + 7*d**4/4 + d**3/2 - 117*d. Let i(q) be the third derivative of t(q). Factor i(p).
-2*(p - 28)**2
Let i be (-6 - (-182)/39)*(-3)/2. Let t be i - ((-58)/8 - -8). Solve -1/2 - t*y - y**4 - 1/4*y**3 + 3*y**2 = 0 for y.
-2, -1/4, 1
Let s(m) be the third derivative of -1/18*m**4 + 0*m + 82*m**2 - 8/9*m**3 + 0 + 1/90*m**5. Solve s(x) = 0 for x.
-2, 4
Factor -54193*q**2 + 27358*q**2 - 528*q**3 + 288*q**4 + 27077*q**2.
2*q**2*(12*q - 11)**2
Let y(d) be the second derivative of 5*d**7/42 + d**6/2 - 201*d**5/2 - 5335*d**4/6 + 69575*d**3/2 + 1497375*d**2/2 - 29*d - 22. Factor y(w).
5*(w - 15)**2*(w + 11)**3
Let q(l) be the third derivative of -l**6/480 + 11*l**5/24 + l**4/96 - 55*l**3/12 + 16*l**2 + 7. What is c in q(c) = 0?
-1, 1, 110
Let 3/2*d**3 - 127449/2 - 723/2*d**2 + 44625/2*d = 0. Calculate d.
3, 119
Let z(r) be the second derivative of -3/32*r**5 + 2*r + 5/336*r**7 + 26 - 1/8*r**3 - 1/80*r**6 + 19/96*r**4 + 0*r**2. Suppose z(n) = 0. What is n?
-2, 0, 3/5, 1
Suppose -54 + 285/8*h**3 + 183*h**2 + 585/2*h + 9/4*h**4 = 0. Calculate h.
-6, -4, 1/6
Let s(g) be the first derivative of -g**6/9 + 24*g**5 + 92*g**4/3 - 1076*g**3/9 - 301*g**2 - 724*g/3 - 8366. Find a such that s(a) = 0.
-1, 2, 181
Let s(j) be the second derivative of j**5/20 - 5*j**4/12 + 5*j**3/6 - j**2/2 - 2*j - 36. Let h be s(4). Suppose -4/7 + 6/7*q + 0*q**2 - 2/7*q**h = 0. What is q?
-2, 1
Suppose 2*g - x - 10590 = 0, -26468 = -0*g - 5*g - x. Factor 5*b - g*b**4 + 3*b + 5292*b**4 - 6*b**3.
-2*b*(b - 1)*(b + 2)**2
Let l = 153851 + -153848. Factor 4/5*d**l - d**2 - 1/5*d**4 + 2/5*d + 0.
-d*(d - 2)*(d - 1)**2/5
Let m(n) be the first derivative of -n**6/12 - 6*n**5/5 - 6*n**4 - 41*n**3/3 - 63*n**2/4 - 9*n + 1885. Factor m(a).
-(a + 1)**3*(a + 3)*(a + 6)/2
Factor 201*r**2 - r + 6*r + 132*r**2 - 414*r**2.
-r*(81*r - 5)
Let p(v) = -309 + 3961*v**2 + 59 + 53*v - 310 - 401 - 3962*v**2. Let m(d) = -d. Let h(k) = 36*m(k) - 4*p(k). Determine q, given that h(q) = 0.
31
Factor -784/11 - 6/11*u**2 - 1180/11*u.
-2*(u + 196)*(3*u + 2)/11
Let r be ((-42)/(-28))/((-36)/(-48)). Find x, given that 3/4*x**4 - 7/4*x**2 - 9/2*x + 7/4*x**3 - r - 1/4*x**5 = 0.
-1, 2, 4
Let a(h) be the second derivative of -h**8/6720 - h**7/1260 + 25*h**4/12 + 52*h. Let j(z) be the third derivative of a(z). Factor j(w).
-w**2*(w + 2)
Let u(j) be the second derivative of j**6/90 + 31*j**5/30 + 5*j**4 + 89*j**3/6 - 157*j. Let c(b) be the second derivative of u(b). Factor c(l).
4*(l + 1)*(l + 30)
Let d(l) be the third derivative of -l**8/336 - 13*l**7/126 - 17*l**6/30 - 8*l**5/15 + 28*l**4/9 + 8*l**3 - 3558*l**2. Suppose d(z) = 0. What is z?
-18, -2, -2/3, 1
Let o(v) be the third derivative of -v**6/480 + 139*v**5/20 + 1113*v**4/32 + 835*v**3/12 + 2303*v**2. Factor o(w).
-(w - 1670)*(w + 1)**2/4
Let j be (-260)/(-25) + (5 - 11) + 2. Factor j*f**2 - 28/5*f**3 + 12/5*f**4 - 18/5*f - 2/5*f**5 + 4/5.
-2*(f - 2)*(f - 1)**4/5
Let c(y) be the third derivative of y**5/120 + 13*y**4/12 + 133*y**3/3 - 10953*y**2. Factor c(k).
(k + 14)*(k + 38)/2
Let g(k) = -2*k**4 - 26*k**3 + 9*k**2 + 63*k - 9. Let u(c) = c**4 + 12*c**3 - 4*c**2 - 28*c + 4. Let f(w) = -4*g(w) - 9*u(w). Determine j, given that f(j) = 0.
-4, 0
Let h(o) be the first derivative of -4*o**3/3 + 308*o**2 - 612*o - 2663. Factor h(x).
-4*(x - 153)*(x - 1)
Let n(g) = -10*g + 129. Let y be n(12). Factor 1 + 88*v - 2 - y - 60*v**2 + 37*v.
-5*(v - 2)*(12*v - 1)
Let z(p) be the third derivative of -p**6/900 - 7*p**5/450 + 256*p**2. Solve z(h) = 0.
-7, 0
Let v be (4 - 3 - -4)*4. Let k be 9/4 + (-5)/v. Find s, given that 14*s**5 - 2*s**3 - 18*s**5 + 8*s + 14*s**3 + 7*s**4 - 20*s**k - 3*s**4 = 0.
-2, 0, 1
Let d(v) be the second derivative of 3/2*v**6 - 5/42*v**7 - 8*v + 11/2*v**5 - 2 + 5/6*v**4 - 35/2*v**3 - 55/2*v**2. Determine m so that d(m) = 0.
-1, 1, 11
Suppose -15*k - 34 = -32*k. Suppose m + v = 5, 0 = k*m - 0*v + v - 8. Solve 6/13*x**4 + 12/13*x + 0 - 10/13*x**2 - 16/13*x**m = 0 for x.
-1, 0, 2/3, 3
Let k(m) be the third derivative of -m**6/420 + 3*m**5/35 - 65*m**4/84 - 3332*m**2. Find w such that k(w) = 0.
0, 5, 13
Suppose 0 = l - 2, 5*k + 3*l = -2*l + 20. Factor -26*z + 25*z**2 - 30*z**k - 39*z.
-5*z*(z + 13)
Let d be ((-6)/(6/(-7)))/(2 - 1) - (-3289)/(-572). Factor 3/8*v**2 - d - 7/8*v.
(v + 1)*(3*v - 10)/8
Let j(i) be the third derivative of i**5/30 + 8*i**4/3 + 80*i**3 - 929*i**2. Solve j(c) = 0.
-20, -12
Let l(c) = 20*c + 20. Let m be l(1). Let p(w) = -6*w + 242. Let o be p(m). Determine n so that n - 4/3 + 1/3*n**o = 0.
-4, 1
Let u(a) be the third derivative of a**5/70 - 69*a**4/56 + 99*a**3/14 + 298*a**2. Determine s, given that u(s) = 0.
3/2, 33
Let r = 33 - 13. Let p(a) = 28*a**3 - 440*a**2 - 488*a. Let h(s) = 4*s**3 - 63*s**2 - 70*s. Let d(b) = r*h(b) - 3*p(b). Determine l so that d(l) = 0.
-1, 0, 16
Let d = -94399 - -94402. Let q = 15211/11 - 1379. Let 50/11*m**2 + 0 + 4/11*m + q*m**4 + 8*m**d = 0. Calculate m.
-1, -2/21, 0
Let f(w) be the second derivative of 8/3*w**3 - 2/5*w**2 + 80*w + 37/100*w**5 - 113/60*w**4 + 0. Factor f(y).
(y - 2)*(y - 1)*(37*y - 2)/5
Suppose 6*c + 25 = 91. Solve 56*l**3 + l**2 + 3*l**4 - c*l**4 - 28*l - 8 - 28*l**5 + 15*l**2 = 0 for l.
-1, -2/7, 1
Let j(k) = -2*k. Let l(w) = 24*w**2 - 12*w**2 - 2*w + 2 - 12*w. Let n(c) = -28*j(c) + 2*l(c). Factor n(y).
4*(y + 1)*(6*y + 1)
Solve -634/11*q**2 + 144/11 - 18/11*q**3 + 508/11*q = 0.
-36, -2/9, 1
Let u(a) be the second derivative of -2*a**6/15 - 28*a**5/5 - 19*a**4/3 + 152*a**3 + 648*a**2 - 2*a - 955. Factor u(d).
-4*(d - 3)*(d + 2)**2*(d + 27)
Let g be 5716/(-10)*-5*1/(-11). Let l = g + 260. Solve 8/11 + 10/11*t**2 - l*t**3 - 16/11*t = 0 for t.
1, 2
Let b be 3/6*(3 + 57). Suppose 0 + 20*k**3 - 4 + b*k**2 + 9 + 0 + 5*k**4 + 20*k = 0. Calculate k.
-1
Let o(i) be the first derivative of 0*i + 0*i**2 - 5/4*i**3 - 4 + 3/20*i**5 + 3/4*i**4. Factor o(w).
3*w**2*(w - 1)*(w + 5)/4
Suppose 61 = -6*g + 97. Let x(k) be the third derivative of -1/12*k**5 + 0*k**4 + 1/4*k**g + 5*k**2 + 0 + 0*k**3 - 3/14*k**7 + 0*k. Factor x(b).
-5*b**2*(3*b - 1)**2
Let d(i) be the second derivative of -1/180*i**6 - 1/9*i**3 - 5*i + 1/36*i**4 + 0 + 1/90*i**5 + i**2. Let k(l) be the first derivative of d(l). Factor k(j).
-2*(j - 1)**2*(j + 1)/3
Let v be (-1 - 2)/((-8)/((-32)/6)). Let m be (-26)/28*v + 4 + -5. Factor m*c + 2/7*c**2 + 0.
2*c*(c + 3)/7
Let o(h) be the third derivative of h**6/3 + 229*h**5/15 - 25*h**4/6 - 92*h**3/3 - 6390*h**2. Find v such that o(v) = 0.
-23, -2/5, 1/2
Let c be 12/66 - 150/(-22). Let x(w) be the first derivative of -c - 5*w - 5/3*w**3 - 5*w**2. Factor x(u).
-5*(u + 1)**2
Let x(g) be the first derivative of 108*g**5/35 - 621*g**4/7 - 852*g**3/7 - 430*g**2/7 - 96*g/7 + 81. Suppose x(p) = 0. Calculate p.
-1/3, 24
Find c such that -6/5*c**3 + 74/5*c**2 + 232/5*c + 24 = 0.
-2, -2/3, 15
Let o = 331 + -8935/27. Let s(x) be the second derivative of 12*x + 1/18*x**5 + 0 - 1/27*x**3