080 + 13*y.
3*(y + 2)*(y + 14)
Let c be ((-56)/21)/(2/(-3)). Find u such that -c*u**3 - 29*u**4 + 62*u**4 - 29*u**4 = 0.
0, 1
Let i be (-4)/8*1*(-120)/90*(-30)/(-16). Find j such that i*j + 1/4*j**2 - 7/2 = 0.
-7, 2
Let t = -34 + 70. Suppose 9*j - t = 7*j. Let -5*y**2 - j*y + 0*y**2 + 168*y - 40 - 30*y**2 = 0. What is y?
2/7, 4
Suppose -16 = -4*a + 2*z, -8*a + 4*z = -13*a - 6. Factor -3742 - 316*c - 4451 - 1178 - 3111 - a*c**2.
-2*(c + 79)**2
Let a(t) be the second derivative of t**10/136080 - t**8/15120 + t**6/3240 - t**4/4 - 4*t**2 + 61*t. Let r(j) be the third derivative of a(j). Factor r(h).
2*h*(h - 1)**2*(h + 1)**2/9
Suppose 1646 = 17*s - 819. Solve -61 + 21 - 98*t - 440*t**2 - 246*t + 44*t - s*t**3 + 55*t**5 + 120*t**4 - 30*t**2 = 0 for t.
-2, -1, -2/11, 2
Suppose 3*u = 4*d - 0*u - 35, 3*u - 13 = -2*d. Let r be (d/((-360)/27))/(16/(-10)). Factor 63/8*w**2 + 441/8*w + 1029/8 + r*w**3.
3*(w + 7)**3/8
Let k be -8 - (-722)/(-2) - (4 + 1). Let v = 1124/3 + k. Factor -2/3*x - 2*x**3 + 0 + v*x**4 + 2*x**2.
2*x*(x - 1)**3/3
Let y(c) be the second derivative of -7*c**5/80 - 19*c**4/6 + 205*c**3/24 - 23*c**2/4 + 5932*c. Factor y(l).
-(l - 1)*(l + 23)*(7*l - 2)/4
Let o(z) be the second derivative of -z**5/10 + 7*z**4/6 + 6*z**3 + 22*z + 31. Solve o(a) = 0.
-2, 0, 9
Let w(l) be the first derivative of l**3/9 - 3296*l**2/3 + 10863616*l/3 + 4105. Find n, given that w(n) = 0.
3296
Let i(l) = 2*l**3 - 106*l**2 - 92*l + 34. Let w(y) = -y**3 - y + 1. Suppose -k = -2*a - 0*k + 15, -a + 2*k + 12 = 0. Let v(p) = a*w(p) - i(p). Factor v(c).
-2*(c - 14)*(c + 1)*(4*c - 1)
Let i = 353 - 351. Factor -34*x**2 + 9*x**2 + 32*x**i - x**3.
-x**2*(x - 7)
Let y = 13 - 8. Suppose 15 = y*l - 3*c, -2*l - 4*c + 6 + 0 = 0. Find p, given that 40*p**l - 17*p + 29*p**4 + 12*p**3 + p - 9*p**4 + 16*p**2 = 0.
-2, -1, 0, 2/5
Suppose 34*i - 22 = 23*i. Factor -1841*k**2 - 2404*k**2 + 1784*k**2 - 3015*k**i - 592*k - 16.
-4*(37*k + 2)**2
Suppose 1182*y**2 + 1122*y**2 + 118*y**2 + 5635*y + 40*y**3 + 1091*y**2 - 1058*y**2 + 1770 = 0. What is y?
-59, -2, -3/8
Factor 142/3*f**3 - 1/3*f**4 + 1000000/3 - 2100*f**2 + 65000/3*f.
-(f - 50)**3*(f + 8)/3
Let u = 382 - 270. Factor -20*h**2 - 108*h + u + 13*h**2 + 3*h**2.
-4*(h - 1)*(h + 28)
Let w(v) be the first derivative of 2*v**3/3 - 820*v**2 - 1349. Factor w(f).
2*f*(f - 820)
Let m(v) be the third derivative of -v**6/280 + 303*v**5/70 + 4*v**2 - 1009. Factor m(s).
-3*s**2*(s - 606)/7
Let z be 3/((-27)/(-2)) - (-5632)/(-72). Let i = z - -88. Determine h so that 9*h**3 + 8*h**5 + 4 - h**3 + i*h - 26*h + 16*h**2 - 20*h**4 = 0.
-1, 1/2, 1
Let q(d) = -2*d + 2. Let j be q(1). Let t be 5/(260/(-176)) - 8/(-2). Factor -2/13*k**4 - t*k**2 + 0 + j*k - 8/13*k**3.
-2*k**2*(k + 2)**2/13
Let n = 34 - 30. Suppose 25 = 5*i, 1 + 12 = -n*x + 5*i. Factor -148 + 12*o**x + 16*o**3 + 4*o**4 + 72*o**2 + 80*o + 180.
4*(o + 1)*(o + 2)**3
Let h(y) be the first derivative of -y**6/40 - 17*y**5/40 - 5*y**4/4 + 55*y**3 - 126. Let t(s) be the third derivative of h(s). Let t(p) = 0. What is p?
-5, -2/3
Let b be (-3 + 36498/196)*(-4)/5. Let r = b - -147. Solve 0*w**4 + 3/7*w**5 + 0*w**2 + 0*w + 0 - r*w**3 = 0 for w.
-1, 0, 1
Let i(m) = 77*m + 7628. Let x be i(-99). Solve 1/7*a**x - 4/7*a**4 + 0*a + 0 + 4/7*a**2 - 1/7*a**3 = 0 for a.
-1, 0, 1, 4
Let j(t) be the second derivative of 6*t**7/7 + 58*t**6/15 + 24*t**5/5 + 4*t**4/3 - 2*t + 3. Determine k so that j(k) = 0.
-2, -1, -2/9, 0
Let o be ((-6)/(-21)*(0 + (-6 - 1)))/(-1). Let f(j) be the second derivative of 1/4*j**4 + 0 + 9*j + 75/2*j**o - 5*j**3. Find k, given that f(k) = 0.
5
Let d(r) be the first derivative of -49*r**5/15 + 112*r**4 - 8824*r**3/9 - 896*r**2 - 784*r/3 - 1212. Let d(n) = 0. What is n?
-2/7, 14
Determine x, given that -x**5 - 96 + 152*x + 48*x**2 + 68*x**3 - 102*x**3 - 84*x**2 + 15*x**4 = 0.
-2, 1, 2, 12
Suppose 5824781*c - 8649*c**2 - 3838130*c + 4311682*c + 3*c**3 - 2662511043 + 2013356*c = 0. Calculate c.
961
Let l be ((-3)/(6/4))/((-16)/264). Factor l*d + 32 + 206 + d**2 + 86 + 3*d.
(d + 18)**2
Let m(x) be the third derivative of x**8/84 + 38*x**7/15 + 194*x**6/15 - 272*x**5/15 - 784*x**4/3 - 2080*x**3/3 - 57*x**2 + 45*x. Find p, given that m(p) = 0.
-130, -2, -1, 2
Let u be (-4)/6 + (-40)/(-15). Suppose -179 - 19 = -3*x. What is i in 60 - 3*i + 3*i + 5*i - x - i**u = 0?
2, 3
Let c(z) = 45*z**2 - 47670*z + 12450365. Let i(a) = 5*a**2 - 5296*a + 1383374. Let f(h) = -6*c(h) + 55*i(h). Factor f(v).
5*(v - 526)**2
Let p(c) be the second derivative of -4/3*c**4 + 3*c**5 + 0*c**2 - 4/15*c**6 - 10/21*c**7 - 149*c + 0 - 8/3*c**3. Let p(s) = 0. Calculate s.
-2, -2/5, 0, 1
Let o = -2738 - -2738. Let z(a) be the first derivative of o*a + 12 - 2*a**2 - 38/5*a**5 + 7/3*a**6 - 2/3*a**3 + 15/2*a**4. Factor z(b).
2*b*(b - 1)**3*(7*b + 2)
Let q(c) be the first derivative of -c**5/5 - c**4/3 + 4*c**3/3 + 67*c - 59. Let j(w) be the first derivative of q(w). Solve j(z) = 0.
-2, 0, 1
Let k(i) be the first derivative of -4*i**3/3 + 14052*i**2 - 49364676*i - 3348. Factor k(b).
-4*(b - 3513)**2
Let v(k) be the first derivative of 1/15*k**3 + 127 + 6/5*k - 7/10*k**2. What is s in v(s) = 0?
1, 6
Factor -10*q**3 - 2043630 - 8*q**3 - 324945*q + 0*q**3 + 652*q**2 + 1928*q**2 + 13*q**3.
-5*(q - 261)**2*(q + 6)
Let m(o) be the second derivative of 8/9*o**2 - 7/90*o**5 - 20/27*o**3 + 0 - 9*o + 1/135*o**6 + 1/3*o**4. Solve m(p) = 0.
1, 2
Let d(v) = 2*v**2 + 6*v - 16. Let z(o) = -2*o + 0*o + o**2 + o. Suppose -838 = -9*h - 829. Let c(k) = h*d(k) + 10*z(k). Factor c(w).
4*(w + 1)*(3*w - 4)
Factor 0 + 184/7*x + 15/7*x**2 - 1/7*x**3.
-x*(x - 23)*(x + 8)/7
Let p(f) be the second derivative of 4*f**7/63 - 43*f**6/225 + 13*f**5/75 - f**4/30 - 498*f. Suppose p(q) = 0. What is q?
0, 3/20, 1
Suppose -408/5 - 106/5*d - 1/5*d**2 = 0. Calculate d.
-102, -4
Suppose -65 = -u - 3*t - 47, -2*u - 12 = -2*t. Let q(r) be the second derivative of -1/6*r**4 + u*r**2 + 0 + 5/3*r**3 + 29*r. Find f, given that q(f) = 0.
0, 5
Let t be (-2)/2*2 + 73. Factor -t*l - 12*l**2 + 188*l - 1323 + 135*l.
-3*(2*l - 21)**2
Let i(c) be the third derivative of -c**7/525 + 93*c**6/200 - 139*c**5/300 - 51*c**2 - 3*c. Find g, given that i(g) = 0.
0, 1/2, 139
Suppose 14*v - 11*v - 9 = 0. Suppose -v*u + 2*h + 19 = 0, -u = -3*u - 3*h - 9. Factor 4*y - 8 - 9*y + u*y**3 - 10*y**2 + 21*y - y**3.
2*(y - 2)**2*(y - 1)
Let h(q) = -3*q**4 - 246*q**3 + 375*q**2 - 3*q + 9. Let g(d) = -d**4 - d**3 + 4*d**2 + d - 3. Let o(k) = -3*g(k) - h(k). Factor o(c).
3*c**2*(c + 43)*(2*c - 3)
Let o(h) = 5*h**5 + 80*h**4 + 320*h**3 + 480*h**2 + 55*h. Let p(v) = -5*v**5 - 78*v**4 - 320*v**3 - 480*v**2 - 44*v. Let b(i) = -4*o(i) - 5*p(i). Factor b(u).
5*u**2*(u + 4)**2*(u + 6)
Let b be 3/(-3) + -2 + 3. Let f(a) be the first derivative of -14 + b*a**3 + 1/8*a**4 + 0*a - 1/4*a**2. Factor f(x).
x*(x - 1)*(x + 1)/2
Suppose -47*v = -16*v - 868. Let d be (-1)/v + (-8)/(-28). Factor 3/4*i**2 + 1/2*i + 0 + d*i**3.
i*(i + 1)*(i + 2)/4
What is w in -2/3*w**4 - 576*w**2 + 1724/3*w - 574/3 + 580/3*w**3 = 0?
1, 287
Let a(x) = -3*x**2 - 146*x + 57. Let u be a(-49). Let s be 16 + (-1)/((-4)/(-16)). Solve -42 - 4*k**4 + s*k**2 - 10*k**3 + u*k + 26 + 6*k**4 = 0.
-1, 2
Suppose -15*m + 210 = -m. Determine w so that 78*w + m + 348 + 3*w**2 + 144 = 0.
-13
Let b be (-3 + (-159)/(-106))/((-99)/588). Solve 1168/11*w**3 - b*w**5 + 896/11*w**2 - 800/11*w + 56/11*w**4 + 128/11 = 0.
-2, 2/7, 4
Factor -260/3*d**2 + 0*d + 0 + 2/9*d**4 - 58/9*d**3.
2*d**2*(d - 39)*(d + 10)/9
Suppose -2129*b + 2093*b = -72. Let h = 11/4 + -39/20. Solve -4/5*j**3 + 2/5*j - 2/5*j**4 + h*j**b + 2/5*j**5 - 2/5 = 0 for j.
-1, 1
Let o(a) be the first derivative of a**3/9 + 13*a**2 - 79*a/3 + 1163. Factor o(j).
(j - 1)*(j + 79)/3
Let x = 299 + -179. Let y be (-8)/(-14) - x/(-280). Suppose -1/3*w**2 - y + 4/3*w = 0. What is w?
1, 3
Let b be (((-5445)/(-308))/(-15))/(1/288). Let j = b + 340. Suppose 5/7*c + j + 1/7*c**2 = 0. What is c?
-4, -1
What is w in 0 - 1527/5*w**2 - 3/5*w**4 - 270*w - 36*w**3 = 0?
-50, -9, -1, 0
Let o(d) be the second derivative of d**4/6 - 157*d**3/3 + 156*d**2 + 1206*d. Determine y, given that o(y) = 0.
1, 156
Solve 18*p + 4*p + 12*p - 52*p + 6*p**2 + 5*p = 0.
0, 13/6
Let s(k) be the first derivative of 0*k - 1/10*k**2 + 123 - 1/1