t is f in h(f) = 0?
-3, -1/5
Suppose 6832/5*q**2 + 5892/5*q + 1808/5 + 4/5*q**5 + 96*q**4 + 3224/5*q**3 = 0. What is q?
-113, -4, -1
Let j(l) be the second derivative of 1/90*l**5 + 8/27*l**3 + 2*l - 16/9*l**2 - 3 + 7/54*l**4. Factor j(w).
2*(w - 1)*(w + 4)**2/9
Let l(m) = 448*m - 6717. Let f be l(15). Factor -2/3*j + 1/2*j**f + 0 - 2/3*j**4 + 2/3*j**2 + 1/6*j**5.
j*(j - 2)**2*(j - 1)*(j + 1)/6
Let w(a) be the first derivative of a**4/2 + 13*a**3/2 + 63*a**2/2 + 135*a/2 + 2008. Let w(t) = 0. What is t?
-15/4, -3
Let c = 143/174 - 541/870. Solve 22/5*w**2 - c*w**3 - 28*w + 40 = 0 for w.
2, 10
Let b be ((-6)/8)/(5/(233030/42)). Let l = 833 + b. Suppose 0 + l*p - 3/4*p**2 = 0. What is p?
0, 1
Let i be -44 + (-11 - -43) - 425/(-35). Let o = -59 + 414/7. Suppose i + o*p**2 + 2/7*p = 0. What is p?
-1
Let r = 4457/6 - 742. Let p(h) be the second derivative of -r*h**7 + 5/3*h**3 - 15/4*h**5 - 19/6*h**6 - 6*h + 0*h**2 - 5/12*h**4 + 0. Factor p(y).
-5*y*(y + 1)**3*(7*y - 2)
Let h = 821745 + -821742. Find o such that 2/3*o + 2/9*o**4 - 2/3*o**h + 56/9 - 58/9*o**2 = 0.
-4, -1, 1, 7
Let o = -5936 - -243361/41. Let q = o - -187/287. Determine g so that -3/7*g**2 - 1/7*g**3 + 0 - q*g = 0.
-2, -1, 0
Let v(w) be the first derivative of 22/3*w**3 - 12*w**2 - 2/5*w**5 + w**4 - 72*w + 36. Determine u so that v(u) = 0.
-2, 3
Let h(f) be the third derivative of -2/27*f**4 - 2*f**2 + 0*f + 62 + 1/540*f**6 - 1/135*f**5 + 0*f**3. Let h(q) = 0. What is q?
-2, 0, 4
Suppose 3*t - 291 = -189. Factor -18*v**3 + v**4 - 4*v + 4*v**3 - 14*v - t*v**2 - v**4 + 2*v**4.
2*v*(v - 9)*(v + 1)**2
Let v(q) be the second derivative of -q**5/20 - 73*q**4/12 + 164*q**3 - 1530*q**2 + 29*q + 1. Determine z so that v(z) = 0.
-85, 6
Factor 4*d**5 - 62*d**4 - 262*d**3 + 42*d**4 + 206*d**3.
4*d**3*(d - 7)*(d + 2)
Let r(h) be the third derivative of -h**8/43680 + 4*h**7/4095 - 8*h**6/585 + 11*h**4/24 - 3*h**2 + 8. Let m(t) be the second derivative of r(t). Factor m(q).
-2*q*(q - 8)**2/13
Let a(m) = -m**3 + m**2 + 4*m - 1. Let s be a(-2). Factor 8*p**2 - 12*p**s + 72 - 17*p**2 + 2*p**4 - 19*p**2 - 8*p - 26*p**2.
2*(p - 9)*(p - 1)*(p + 2)**2
Let k be (42/(-4))/(770/308) - -18. Factor -3/5*i**2 - k - 72/5*i.
-3*(i + 1)*(i + 23)/5
Suppose -s + 4*w = -10, 5*s + 3*w + 27 = 9*s. Let g(c) = -5*c + 89. Let o be g(17). Solve 3/2*j**2 + 3/4*j**5 + s*j**3 - 27/4*j - 9/2*j**o + 3 = 0 for j.
-1, 1, 4
Suppose 3*a + 2 = -y + 15, 12 = 3*y. Let j be -1 - (a/33 - (-103)/(-44)). Find d such that j*d**2 + 0 + 25/4*d = 0.
-5, 0
Suppose -2478*u + 1152 + 28664*u**2 - 3*u**4 - 172*u**3 - 13659*u**2 - 13764*u**2 = 0. Calculate u.
-64, 2/3, 3
Let j(y) be the first derivative of 59*y**3/3 + 117*y**2 - 8*y - 767. Factor j(g).
(g + 4)*(59*g - 2)
Let z = -221 - -223. Factor 1236*v**2 + 48*v + z - 1300*v**2 - 2 + 28*v**3 - 4*v**4.
-4*v*(v - 3)*(v - 2)**2
Let o(i) = 13*i + 16 + 4 - 5*i**2 + 5. Let u(l) = 21*l**2 - 53*l - 99. Let z(f) = -26*o(f) - 6*u(f). Solve z(c) = 0 for c.
-2, 7
Let p be (2/(-2)*44)/((-5)/30). Let d = -260 + p. Determine k, given that 0*k**2 + 0*k + 4/5*k**5 + 0*k**d - 4/5*k**3 + 0 = 0.
-1, 0, 1
Suppose -4*c - 10 = -2. Let j(a) = -59119*a**2 - 24*a - 180*a**3 - a + 59034*a**2. Let n(r) = 15*r**3 + 7*r**2 + 2*r. Let t(d) = c*j(d) - 25*n(d). Factor t(k).
-5*k**2*(3*k + 1)
Let q(a) be the second derivative of -a**4/3 + 124*a**3 - 370*a**2 + 666*a. Let q(x) = 0. What is x?
1, 185
Suppose 0 = 59*c - 5*f - 83, -5*c + 15*f = 19*f - 38. Factor 46*t + 10 + 9/2*t**c.
(t + 10)*(9*t + 2)/2
Let q be 4/(-13) + (-429)/(-845). Let f(j) be the second derivative of j**4 + 0*j**2 - q*j**5 + 0 + j - 4/3*j**3. Factor f(p).
-4*p*(p - 2)*(p - 1)
Let k = -537453 - -8061797/15. Find h such that 0 - k*h + 8/15*h**2 = 0.
0, 1/4
Let d = 22506836/5 - 4501367. Let f be 1/2 - 314/(-20). Factor -f - d*l**2 - 18/5*l.
-(l + 9)**2/5
Suppose 7*y = -20 - 15. Let r(i) = 3*i**2 + 29*i - 50. Let w(l) = -10*l**2 - 88*l + 152. Let d(n) = y*w(n) - 16*r(n). Suppose d(a) = 0. What is a?
2, 10
Let i = 244840 - 244840. Factor 22/9*z**3 + i + 2/9*z**4 + 32/9*z + 52/9*z**2.
2*z*(z + 1)*(z + 2)*(z + 8)/9
Let s(x) be the third derivative of x**7/630 - x**5/30 - x**4/9 - x**3/6 + 2*x**2 + 110. Factor s(p).
(p - 3)*(p + 1)**3/3
Solve -130 + 429/4*m**2 - 849/2*m + 7/4*m**3 = 0.
-65, -2/7, 4
Let n(j) be the third derivative of -j**6/840 - 13*j**5/84 - 17*j**4/3 + 578*j**3/7 - 68*j**2. Suppose n(t) = 0. What is t?
-34, 3
Let d(z) be the third derivative of -5*z**8/336 - 2*z**7/21 + 3*z**6/4 - 5*z**5/3 + 35*z**4/24 + 868*z**2. Find h such that d(h) = 0.
-7, 0, 1
Suppose 0 = 18*f - 6432 + 6324. Let n(g) be the third derivative of -7/8*g**4 - 9/20*g**5 - g**3 - 1/8*g**f + 0 + 0*g - 1/70*g**7 - 10*g**2. Factor n(w).
-3*(w + 1)**3*(w + 2)
Let c(a) be the third derivative of a**5/10 + 25*a**4/24 + 2*a**3/3 - 3*a**2 + 443. Factor c(z).
(z + 4)*(6*z + 1)
Find y, given that 55*y**2 + 99*y**2 + 84*y**4 - 46*y**4 - 40*y**4 + 23*y**3 - 175*y**3 = 0.
-77, 0, 1
Factor 1/10*a**2 - 1048/5*a + 549152/5.
(a - 1048)**2/10
Let a(m) be the first derivative of 2/9*m + 0*m**4 - 4/27*m**3 + 2/45*m**5 + 51 + 0*m**2. Factor a(g).
2*(g - 1)**2*(g + 1)**2/9
Suppose 539*t - 506*t - 512 = -223*t. Find k, given that -2/5*k + 84/5 - 2/5*k**t = 0.
-7, 6
Let l be (-6)/3 - ((-160)/(-440))/(4/(-22)). Factor 3*d**3 + l*d - 10/3*d**2 + 0 + 1/3*d**4.
d**2*(d - 1)*(d + 10)/3
Let o = -182 + 497. Let u = o - 313. What is w in 1/5*w**u + 1/5 + 2/5*w = 0?
-1
Let k(x) be the third derivative of x**6/30 + 187*x**5/15 + 9191*x**4/6 + 82810*x**3/3 + x**2 - 308*x. Factor k(d).
4*(d + 5)*(d + 91)**2
Suppose 0 = 9*x - 237 + 192. Let j be (-1 - (-14)/6) + x/(-15). Solve -1/2*c**2 - 3/2*c - j = 0 for c.
-2, -1
Suppose 191*b - 126 = 184*b. Let j(l) be the third derivative of 1/1260*l**7 + 0*l**6 - 1/12*l**3 + 0*l - b*l**2 + 0 - 1/60*l**5 - 1/18*l**4. Factor j(f).
(f - 3)*(f + 1)**3/6
Suppose -2/11*n**4 + 0 + 0*n**3 + 26/11*n**2 - 24/11*n = 0. What is n?
-4, 0, 1, 3
Let v(h) be the third derivative of -h**8/4320 - h**7/378 - 29*h**6/3240 - h**5/90 + h**4 + h**2 + 13. Let s(i) be the second derivative of v(i). Factor s(n).
-2*(n + 1)*(n + 3)*(7*n + 2)/9
Suppose -4*h - 3*r + 6 = 0, -3 = -r - 1. Let z be 2 + h - (-27 - -26). Factor -95*g**3 + 125*g**2 + 9 + 2 + 35*g**4 - 5*g**5 - 80*g - z + 12.
-5*(g - 2)**2*(g - 1)**3
Let f = -11693 + 58466/5. Suppose -o = -2*o. Let o*b**2 - f*b**3 + 0*b + 0 + 1/5*b**5 + 0*b**4 = 0. Calculate b.
-1, 0, 1
Let m = 749 + -634. Factor 91*y + 103 + 31 - 66 + m*y + 6*y**2.
2*(y + 34)*(3*y + 1)
Let 650/3 - 1132/3*f**2 + 482/3*f**4 + 2488/3*f**3 - 8/3*f**5 - 2480/3*f = 0. Calculate f.
-5, -1, 1/4, 1, 65
What is m in -3/4*m**3 + 243/4*m**2 + 0 + 255*m = 0?
-4, 0, 85
Let m(w) be the first derivative of 2*w**3/21 + 1104*w**2/7 + 2206*w/7 + 6055. Let m(k) = 0. What is k?
-1103, -1
Let x be (-15)/((-450)/(-40))*((-26)/(-78) - (-11)/(-6)). Let x*d**2 - 2/3*d**4 + 8/3*d**3 + 16/3 - 28/3*d = 0. Calculate d.
-2, 1, 4
Let y = 584 - 593. Let q be ((-105)/(-140))/(y/(-6)). Factor h**2 - 1 + 1/2*h - q*h**3.
-(h - 2)*(h - 1)*(h + 1)/2
Let h = -196 - -198. Solve -7 + 152 + 56*i - 17 - 4*i**h = 0.
-2, 16
Let i = 708107/2 + -354046. Suppose 9*c - i*c**4 + 11/2*c**2 + 2 - 7/4*c**5 - 29/4*c**3 = 0. What is c?
-2, -1, -2/7, 1
Let m(s) be the third derivative of -s**6/120 + 5*s**5/6 - 47*s**4/8 - s**2 + 766. Factor m(b).
-b*(b - 47)*(b - 3)
Let f be (-1)/(-3)*(5 + 7 + -6). Let q be (-158)/(-232) - f/(-29). Factor 3/2*b**2 - 9/4*b**3 + q*b**4 + 0*b + 0.
3*b**2*(b - 2)*(b - 1)/4
Suppose -1/5*r**3 - 12/5 - 7/5*r**2 - 16/5*r = 0. What is r?
-3, -2
Let 1/3*u**3 + 0 + 0*u + 17/3*u**2 = 0. Calculate u.
-17, 0
Suppose 66*b - 70*b + 33 = -39. Factor -7/3*j**2 + b*j + 16/3.
-(j - 8)*(7*j + 2)/3
Let y = 200 - -10907. Find v, given that -5*v**2 - 11117 + 9*v + 3*v + 3*v + y = 0.
1, 2
Find q such that -4805*q**2 + 325*q + 4809*q**2 + 116 - 91*q = 0.
-58, -1/2
Suppose -5*n - 88 = 6*s, -1012*s - 3*n = -1014*s + 64. Determine i so that i + 5/4*i**s - 1/4 = 0.
-1, 1/5
Let z(d) be the third derivative of -d**8/15120 + 11*d**7/3780 + 19*d**5/60 - 84*d**2. Let j(t) be the third derivative of z(t). Suppose j(y) = 0. Calculate y.
0, 11
Factor 1620/7*b - 282/7*b**2 + 0 + 2/7*b**3.
2*b*(b - 135)*(b - 6)/7
Let c(h) be the first deri