*f**4 - 1/60*f**6 - 4/45*f**5 + 0*f + 102*f**2. Solve q(t) = 0 for t.
-4, -1, 0
Let 5*w**3 + 9139515*w - 3470*w**2 + 1310*w**2 + 8216*w**2 + 7469*w**2 - 9153045 = 0. What is w?
-1353, 1
Suppose 0 = 19*g - 23*g - 3*z - 794, -3*g - 5*z - 590 = 0. Let b be 0 - 0/(-2) - 240/g. Find o, given that 0 - 6/5*o**2 + b*o**3 - 2/5*o**4 + 2/5*o = 0.
0, 1
Let x(c) be the third derivative of c**5/270 - 589*c**4/54 + 346921*c**3/27 - 19*c**2 + 180. Find p such that x(p) = 0.
589
Let q be 5/(-10)*(-60)/(-24)*-4. Suppose 4/3*r**2 + 0 + 0*r + 2/9*r**3 - 2/9*r**q - 4/3*r**4 = 0. What is r?
-6, -1, 0, 1
Find j, given that 6*j**2 + 36 + 3*j**2 - 5*j**2 - 150*j + 174*j = 0.
-3
Let c(s) be the second derivative of -s + 1/3*s**3 + 11/36*s**4 + 1/12*s**2 - 7 + 49/180*s**6 - 7/10*s**5. Factor c(m).
(m - 1)**2*(7*m + 1)**2/6
Let l(b) be the first derivative of 4*b**5/25 - 944*b**4/5 + 295784*b**3/5 + 893024*b**2/5 + 894916*b/5 + 6271. Factor l(o).
4*(o - 473)**2*(o + 1)**2/5
Let c = -4770838322/928940859 - 406/641091. Let s = 4/621 - c. Solve 4*t - s*t**2 + 8/7 = 0 for t.
-2/9, 1
Let z(a) be the second derivative of a**4/54 - 163*a**3/27 + 790*a**2/9 + a + 759. Factor z(h).
2*(h - 158)*(h - 5)/9
Suppose -9*t + 4*t + 5 = 5*k, 12 = 2*t - 3*k. Suppose -t*y + 11 = 5*f, 2*y - 7*y - 3*f = -13. Suppose -6 + y*j + 10/3*j**2 + 2/3*j**3 = 0. What is j?
-3, 1
Suppose -5*p + 139 = -4*t + 137, -6*t - 3*p + 18 = 0. Determine l so that -3/2*l**5 + 128 + 312*l**t - 122*l**3 - 352*l + 22*l**4 = 0.
2/3, 2, 4
Let p(n) = 8*n**3 - 832*n**2 - 1708*n + 6760. Let v(s) = s**3 + s**2 + 3*s + 2. Let r(t) = p(t) - 4*v(t). Suppose r(c) = 0. Calculate c.
-4, 2, 211
Suppose 0 = 19*l - 13*l - 84. Factor l - 6*k**2 - 2*k - 19*k - 18*k - k**3 + 48*k.
-(k - 2)*(k + 1)*(k + 7)
Let d(g) be the first derivative of -g**5/5 - 29*g**4/4 - 79*g**3 - 247*g**2/2 + 1690*g + 4043. Find q, given that d(q) = 0.
-13, -5, 2
Let s(b) = 3*b**2 - b - 4. Let f = -255 + 253. Let a(c) = -12*c**2 + 3*c + 18. Let g(u) = f*a(u) - 9*s(u). Factor g(i).
-3*i*(i - 1)
Let l(o) = -o**2. Let n(f) = 4*f**3 - 298*f**2 + 7500*f - 62500. Let v be 4/(-2) + (7 - 7). Let h(a) = v*l(a) - n(a). Factor h(q).
-4*(q - 25)**3
Factor 0 + 0*p - 920/9*p**3 - 56/3*p**2 + 22/9*p**4.
2*p**2*(p - 42)*(11*p + 2)/9
Suppose 4*l = 5*v + 1, 6*l + 5*v - 22 - 17 = 0. Factor 0 - 1/3*r + r**2 + 1/3*r**l - r**3.
r*(r - 1)**3/3
Let s(j) = j**3 + 64*j**2 - 58*j + 457. Let g be s(-65). Factor -13/2*r - 11/2*r**g - 1.
-(r + 1)*(11*r + 2)/2
Let w = -392 + 412. Suppose 46*i - w + 5*i - 9*i**3 + 66*i**2 - 4 = 0. What is i?
-1, 1/3, 8
Find l, given that 20 - 57/2*l**2 + 569*l = 0.
-2/57, 20
Let l(f) be the second derivative of f**3/2 + f**2 + 11*f. Let s be l(0). Let 128 + 32*c - c**s - c**2 + 0*c**2 + 4*c**2 = 0. What is c?
-8
Let m be (1/(-3))/1 - 407/111. Let h(v) = -2*v**2 - 18*v - 52. Let o(j) = -3*j**2 - 18*j - 54. Let n(p) = m*o(p) + 5*h(p). What is t in n(t) = 0?
-2, 11
Let x(p) be the second derivative of 3/10*p**4 - p - 4/15*p**3 - 11/100*p**5 + 1/210*p**7 + 0*p**6 - 145 + 0*p**2. Factor x(j).
j*(j - 2)*(j - 1)**2*(j + 4)/5
Factor -25*k**2 - 27*k**2 + 255 + 19*k**2 - 7*k**2 - 2035*k.
-5*(k + 51)*(8*k - 1)
Let 731104*l - 79176*l**3 + 167776*l + 79181*l**3 + 4240*l**2 = 0. What is l?
-424, 0
Let k = 8513/4 + -6352/3. Factor -7/12*m**2 + 19/6 - k*m.
-(m + 19)*(7*m - 2)/12
Solve 1218/5 - 80*o - 2/5*o**2 = 0 for o.
-203, 3
Let -27*q**4 + 12 - 5/2*q**5 - 179/2*q**3 - 34*q - 111*q**2 = 0. Calculate q.
-6, -2, -1, 1/5
Determine j, given that -352/7*j**3 + 3928/7*j**2 + 4/7*j**4 + 167904/7*j + 910116/7 = 0.
-9, 53
Suppose -268/13*s + 8/13*s**3 + 122/13*s**2 - 510/13 = 0. Calculate s.
-17, -5/4, 3
Let n(i) be the second derivative of i**6/15 - 3*i**5 - 133*i**4/6 - 34*i**3 - 6313*i. Factor n(j).
2*j*(j - 34)*(j + 1)*(j + 3)
Let v(r) = -r**2 + 259*r - 13230. Let u be v(70). Factor u - 111/2*a**2 - 3*a.
-3*a*(37*a + 2)/2
Let n(d) be the second derivative of -d**4/4 - 108*d**3 + 1971*d**2/2 - d + 1322. Suppose n(q) = 0. Calculate q.
-219, 3
Let k(w) be the third derivative of -1/120*w**6 - 3/4*w**5 + 0*w - 189/8*w**4 - 441/2*w**3 - 304*w**2 + 0. Suppose k(l) = 0. What is l?
-21, -3
Let w(z) = -5*z**2 - 28*z + 133. Let s(v) be the first derivative of -v**3/3 - v**2/2 + 2*v + 38. Let n(h) = 6*s(h) - w(h). Solve n(x) = 0 for x.
11
Let q(p) be the third derivative of 0*p + 7/48*p**4 - 1/240*p**5 - 65*p**2 + 5/8*p**3 + 0. Determine l, given that q(l) = 0.
-1, 15
Factor -505 - 34*u**2 + 490 + 13*u**2 - 241*u - 14*u**2 + 191*u.
-5*(u + 1)*(7*u + 3)
Factor 68/3*b - 2/3*b**2 - 126.
-2*(b - 27)*(b - 7)/3
Let v(j) = -1. Let s(n) be the first derivative of -2*n**3/3 + 5*n**2 - 2*n + 254. Suppose -u = -1 - 0. Let y(w) = u*s(w) + 6*v(w). Factor y(i).
-2*(i - 4)*(i - 1)
Suppose -56 = -7*a - 4186. Let h = a - -592. Suppose -1/8*q - 1/8*q**h + 1/4 = 0. What is q?
-2, 1
Let p(u) = 14*u**2 + 298*u + 2199. Let v(l) = -2*l**2 - 44*l - 314. Let z(q) = 4*p(q) + 30*v(q). Factor z(d).
-4*(d + 6)*(d + 26)
Suppose -16*k + 452 + 124 = 0. Suppose 172*s**3 + 212*s**2 + 14*s - 27 + 3 + 38*s + k*s**4 = 0. Calculate s.
-3, -1, 2/9
Let v(z) be the third derivative of -52*z**2 - 13/72*z**4 + 1/360*z**6 - 1/630*z**7 + 7/180*z**5 + 0*z + 1/3*z**3 + 0. Factor v(f).
-(f - 2)*(f - 1)**2*(f + 3)/3
Factor 3/5*u**4 + 0*u - 270*u**2 + 0 - 669/5*u**3.
3*u**2*(u - 225)*(u + 2)/5
Let k be 6/39 + (-61)/(-26). Let f be 18/1512*36*(-7)/(-1). Factor 1/2*w**2 + k + f*w.
(w + 1)*(w + 5)/2
Let u(n) = -n**3 - 9*n**2 + 10*n + 8. Let w be u(-10). Suppose -2*c + 10*c + 12*c**2 - 8 + 5*c - c - w*c**3 = 0. Calculate c.
-1, 1/2, 2
Let q(x) = 44*x**2 + 1168*x + 3276. Let p(s) = -18*s**2 - 467*s - 1309. Let f(b) = 12*p(b) + 5*q(b). Suppose f(a) = 0. Calculate a.
-56, -3
Suppose 146 + 142 = 6*b. Suppose -33*k = -b*k. Factor k*x + 0*x**3 + 12/5*x**2 + 3/5*x**5 + 0 - 9/5*x**4.
3*x**2*(x - 2)**2*(x + 1)/5
Let 1744/3*f - 3958/9*f**2 + 968/9*f**3 + 8/9*f**4 - 250 = 0. What is f?
-125, 1, 3/2
Suppose 15*j = -24*j + 39. Let k be j/5 + 442/340. Let -3 - 6*z + 3/4*z**4 - 9/4*z**2 + k*z**3 = 0. Calculate z.
-2, -1, 2
Let x be (5/4*8/(-20))/(23/(-230)). Let a(n) be the third derivative of -1/36*n**x + 0 - 10/9*n**3 - 25/72*n**4 - 19*n**2 + 0*n. Factor a(v).
-5*(v + 1)*(v + 4)/3
Let a = -361 + 1533. Let i = a + -770. Solve -i*g**2 - 53*g + 438*g**2 - 4*g**3 - 43*g + 64 = 0.
1, 4
What is q in -329472/5*q - 460*q**2 + 331776/5 - 4/5*q**3 = 0?
-288, 1
Let l(o) be the second derivative of 0*o**2 + 2/15*o**6 - 9/10*o**5 - o**3 + 5/3*o**4 - 73*o + 0. Factor l(b).
2*b*(b - 3)*(b - 1)*(2*b - 1)
Let p = 5948 + -5943. Suppose 0 = -4*s + 4*b - 5*b + 12, s + 3*b = -8. Factor -2*t**2 + p*t - 10*t**2 + 7*t**2 + 4*t**2 - s.
-(t - 4)*(t - 1)
Let t(h) = h**3 - 11*h**2 - 12*h + 14. Let b = -64 + 76. Let d be t(b). Factor 2*s**3 + d*s**2 + 10*s + 9*s + 18 + 11*s + 0*s**3.
2*(s + 1)*(s + 3)**2
Let l be 12/8*60/18. Suppose -6*u + 3*t = -5*u - 13, 2*t = l*u - 26. Find k, given that 0 - 6/5*k**3 + 3/5*k**5 + 0*k**u + 0*k**2 + 3/5*k = 0.
-1, 0, 1
Let n(w) be the second derivative of 11*w**6/70 + 1011*w**5/140 - 425*w**4/14 + 132*w**3/7 - 2458*w - 2. Suppose n(o) = 0. What is o?
-33, 0, 4/11, 2
Find q such that 2/5*q**2 + 468/5 - 162/5*q = 0.
3, 78
Suppose -2*c + 2*o = -58, -15*c - 121 = -20*c - o. Suppose -3*v + 9 = 3*y, -23*v + 28*v - 5*y = c. Solve 0*m - 6/5*m**2 - 1/5*m**v + 0 - m**3 = 0.
-3, -2, 0
Suppose 8 = -k + 9. Let m be (-14)/63 - k*(-87)/27. Factor 3 - 20*w**m + 3*w**5 + 19*w**4 + 15*w**3 + 42*w**2 + 47*w**3 + 19*w.
(w + 1)**3*(w + 3)*(3*w + 1)
Let k(w) = 64*w**2 + 23*w + 84. Let d be k(-8). Suppose 3886 = -10*r + d. Solve 3*m**5 + 17/3*m**2 - 40/3*m + 31/3*m**3 - r*m**4 + 16/3 = 0 for m.
-1, 1, 4/3
Let o = 7604830/11 + -691348. Factor 6/11*r**2 + 0*r**3 - 4/11*r + 0 - o*r**4.
-2*r*(r - 1)**2*(r + 2)/11
Let p(y) be the first derivative of 56*y**2 - 2/3*y**3 - 1568*y + 22. Factor p(n).
-2*(n - 28)**2
Let i(u) = -7*u + 5. Let f(a) = -a**2 - a. Let n be ((-4)/8)/((-1)/(-2)). Let q(b) = n*i(b) + f(b). What is k in q(k) = 0?
1, 5
Let i(u) = -9*u + 37. Let k be i(-8). Factor 8*b**3 + k*b**4 - 121*b**4 + 6*b - 14*b + 12*b**2.
-4*b*(b - 1)*(b + 1)*(3*b - 2)
Suppose 435 = -17*u + 1693. Suppose -u*n + 9 = -4*s - 77*n, 2*s + 6 = -2*n. Factor s*r + 2/11*r**2 - 2/11*r**3