f -h**5 - 75*h**4/4 - 65*h**3 + 635*h**2/2 - 360*h + 2281. Suppose t(x) = 0. What is x?
-9, -8, 1
Let k be -6 - 4/(-3)*3. Let a be (k/5)/((-30)/1650). What is n in -24*n + 40*n**2 + 16*n - a*n**3 - 49*n**4 - 21*n**4 = 0?
-1, 0, 2/7, 2/5
Let w be 528/(-90) - -6 - (-62)/93. Let r(g) be the second derivative of -1521/10*g**4 - 59319/100*g**5 + 14*g + 0 - 78/5*g**3 - w*g**2. Factor r(f).
-(39*f + 2)**3/5
Let z = 8732/7 - 8730/7. Factor 12*t - 126 - z*t**2.
-2*(t - 21)**2/7
Suppose -2*f - 5*z + 69 = 0, 26*f - 23*f - 58 = -4*z. Let 5*w**f + 36/5 - 12*w = 0. Calculate w.
6/5
Let h = -2477 + 2481. Let g(b) be the first derivative of 0*b**h + 9 + 0*b**3 + 0*b**2 - 1/10*b**5 - 1/24*b**6 + 0*b. Solve g(c) = 0 for c.
-2, 0
Let -110 - 27*t**2 + 111*t + 63*t**2 - 27*t**2 - 10*t**2 = 0. Calculate t.
1, 110
Let z(g) = -48 + 103*g + 16 - 68*g - 73. Let o be z(3). Suppose o + 5/2*a**3 + 25/2*a**2 + 1/6*a**4 + 125/6*a = 0. Calculate a.
-5, 0
Let q = -4587/13 - -353. Let k = 117/110 - 641/1430. Factor k - q*x + 2/13*x**3 - 8/13*x**2.
2*(x - 4)*(x - 1)*(x + 1)/13
Let v(r) = -10*r - 18. Let d be v(-2). Factor 29*y - 1 - 4*y**d + 19*y + 59 - 6.
-4*(y - 13)*(y + 1)
Let j(g) be the third derivative of -g**7/210 - 83*g**6/180 - 371*g**5/180 + g**4/18 + 106*g**3/9 + 10*g**2 + 15*g. Let j(h) = 0. Calculate h.
-53, -2, -1, 2/3
Find v such that 2*v**3 - 171567*v**4 + 171566*v**4 + 0*v**2 - v**2 = 0.
0, 1
Let b(o) be the first derivative of 3*o**2 + 107 + 20/3*o - 2/9*o**3. Solve b(r) = 0 for r.
-1, 10
Let f(q) be the third derivative of q**8/168 + 2*q**7/35 + q**6/15 - 4*q**5/5 - 8*q**4/3 + 3913*q**2. Factor f(g).
2*g*(g - 2)*(g + 2)**2*(g + 4)
Factor 0*g + 2/5*g**3 + 0 - 102/5*g**2.
2*g**2*(g - 51)/5
Let j be (-2 - 6/(-1)) + 2 + -1. Let r(t) be the third derivative of 3/52*t**4 + 0*t**3 + 0*t - 6*t**2 + 0 - 1/390*t**j. Factor r(v).
-2*v*(v - 9)/13
Let u(q) be the third derivative of -q**5/60 - 512*q**4/3 - 2097152*q**3/3 - 4*q**2 - 657*q - 2. Factor u(v).
-(v + 2048)**2
Let w(p) be the third derivative of -p**7/504 + p**6/24 + p**4/4 - p**3/6 + 17*p**2. Let m(l) be the second derivative of w(l). Let m(i) = 0. Calculate i.
0, 6
Let s(j) be the third derivative of -j**8/4032 + j**7/144 + 33*j**5/20 + 12*j**2 + 5*j. Let x(k) be the third derivative of s(k). Determine w so that x(w) = 0.
0, 7
Let a = 18333/14548 + -37/3637. Let 0*l + 0 - 1/8*l**4 + 3/8*l**3 + a*l**2 = 0. Calculate l.
-2, 0, 5
Let x = -233 + 243. Factor x + 201*w**2 - 33*w**4 - 5 + 201*w**3 + 12*w**5 + 87*w + 7 + 120*w**4.
3*(w + 1)**3*(w + 4)*(4*w + 1)
Solve 61/3*x - 280/3 - 1/3*x**2 = 0 for x.
5, 56
Let g = 94 - 96. Let b(t) = -8*t**4 + 20*t**3 - 16*t**2 + 2*t + 4. Let n(h) = h**3 - h**2 - 1. Let z(x) = g*n(x) - b(x). Factor z(i).
2*(i - 1)**3*(4*i + 1)
Factor -184*w**2 + 1334*w + 1364*w - 2342*w - 176 + 4*w**3.
4*(w - 44)*(w - 1)**2
Let y(a) = -182*a**3 - 216*a**2 - 96*a + 13. Let k(l) = 266*l**3 + 324*l**2 + 144*l - 19. Let x(h) = 5*k(h) + 7*y(h). Determine q, given that x(q) = 0.
-1, 1/14
Find w such that 32/7*w**2 + 0 + 0*w + 50/7*w**5 + 232/7*w**3 + 208/7*w**4 = 0.
-2, -4/25, 0
Suppose -32 = -8*x + 8. Factor -g**2 - 4 + x - 13*g - 2 + 15*g.
-(g - 1)**2
Let 8*z + 460*z - 36*z**3 - 92*z**2 - 188*z**2 - 96 + 15 - 79 + 8*z**4 = 0. What is z?
-5, 1/2, 1, 8
Let b(t) be the second derivative of -150*t + 5/12*t**3 + 7/48*t**4 + 3/8*t**2 + 2. Factor b(r).
(r + 1)*(7*r + 3)/4
Factor -12/5 - 13/5*s - 1/5*s**2.
-(s + 1)*(s + 12)/5
Let n be ((-207)/27 + 9)*3/(-2). Let x be 4653/2079 + 7/3 + n. Factor 3/7*y**2 - x*y + 24/7.
3*(y - 4)*(y - 2)/7
Let w(m) be the third derivative of m**6/480 - m**5/30 + 7*m**4/96 + 822*m**2 - m. Factor w(t).
t*(t - 7)*(t - 1)/4
Let t(l) be the third derivative of 5*l**8/336 + l**7/21 - 13*l**6/12 - 9*l**5 - 225*l**4/8 - 45*l**3 - 9*l**2 + 169. Solve t(y) = 0 for y.
-3, -1, 6
Let h be 3*((-1)/3*(-8)/(-10))/(8012/(-6009)). Factor -h*z**4 + 0*z + 93/5*z**3 - 18*z**2 + 0.
-3*z**2*(z - 30)*(z - 1)/5
Suppose -w = 4*w - 10. Suppose 21 = 3*b - b - 3*p, 2*p - 35 = 7*p. Solve 1/3*x**4 + 0 + b*x + 1/3*x**3 - 2/3*x**w = 0 for x.
-2, 0, 1
Let k(c) be the second derivative of c**6/6 + c**5/2 - 185*c**4/4 - 280*c**3/3 + 7840*c**2 - 2541*c. Find s such that k(s) = 0.
-8, 7
Factor -765*o + 0 + 1/2*o**2.
o*(o - 1530)/2
Let j = 51384/90265 + 28/12895. Factor -50/7*r - 24/7*r**2 - j.
-2*(r + 2)*(12*r + 1)/7
Let t(w) = -w + 1. Let z(h) = 44 - 28*h + 12*h**2 - 10*h**2 + 2*h**2. Let v(c) = -4*t(c) - z(c). Suppose v(l) = 0. What is l?
2, 6
Let b(i) be the first derivative of -i**6/780 + i**5/78 - 2*i**4/39 + 4*i**3/39 - 53*i**2 + 83. Let p(z) be the second derivative of b(z). Factor p(f).
-2*(f - 2)**2*(f - 1)/13
Suppose -2*q - 11*p = -12*p - 6, q = 4*p - 11. Let a(l) be the second derivative of -1/90*l**4 + 4/45*l**3 + q*l + 0 - 1/5*l**2. Determine w so that a(w) = 0.
1, 3
Let t(z) = -6114*z + 85600. Let k be t(14). Determine d, given that -69/4*d**3 - 1/4*d**5 + 7/2*d**k + 35*d**2 + 0 - 25*d = 0.
0, 2, 5
Solve -86*m**4 - 449*m**3 - 7922*m**2 - 1378917*m - 12800 + 1735*m**3 + 2*m**5 + 1398437*m = 0.
1, 5, 16
Let x be 100/280*(-11192)/(-4710). Let w = x + 4/471. Factor w*m**3 - 3/7*m**4 + 3/7*m**2 + 0 - 6/7*m.
-3*m*(m - 2)*(m - 1)*(m + 1)/7
Let t(q) be the third derivative of -1/140*q**7 + 0*q + 0*q**4 + 0*q**6 - 61*q**2 + 9/40*q**5 + 0*q**3 + 0. Determine a so that t(a) = 0.
-3, 0, 3
Let r(b) = -b**2 + 8*b + 4. Let q be r(0). What is u in -3*u**5 + 3*u**2 + 176*u**4 + 3*u**2 - 12 - 15*u - 6*u - 170*u**q + 24*u**3 = 0?
-1, 1, 4
Let z(g) = 13*g**2 - 236*g - 6340. Let r(b) = 8*b**2 - 159*b - 4227. Let d(p) = 8*r(p) - 5*z(p). Find u such that d(u) = 0.
-46
Let p be (12/(-15))/((-8)/(-60)). Let u be 8/p*3/(-2). Factor 272*a + 4*a**u - 15 + 3 - 264*a.
4*(a - 1)*(a + 3)
Let p(g) = 9 + 2*g + 14 + 573*g**2 - 563*g**2 + 2*g**3 - 13. Let i be p(-5). Factor 1/5*u**2 - 1/5 + i*u.
(u - 1)*(u + 1)/5
Let c(m) be the first derivative of -m**3/4 + 3861*m**2/2 - 4969107*m - 2463. Factor c(n).
-3*(n - 2574)**2/4
Let c(i) be the first derivative of -i**2 + 2*i + 6. Let s be c(1). Factor s - 1 + 7*k**3 + 8*k - k**4 + 12*k - 18*k**2 - 7.
-(k - 2)**3*(k - 1)
Let j(y) be the third derivative of -2*y**2 - 1/28*y**4 - 4/21*y**3 + 1/210*y**5 + 0 + 7*y. Determine n so that j(n) = 0.
-1, 4
Let j(y) = 47*y - 478. Let r(b) = 95*b - 954. Let x(n) = 13*j(n) - 6*r(n). Let t be x(12). Suppose 8/3 + 2*o - 14/3*o**t = 0. Calculate o.
-4/7, 1
Let y(m) be the third derivative of m**6/360 + 56*m**5/45 - 113*m**4/18 + 61*m**2. Factor y(p).
p*(p - 2)*(p + 226)/3
Let k(j) be the third derivative of j**5/60 + 59*j**4/4 + 2*j**2 - 208*j. Factor k(t).
t*(t + 354)
Find d such that 5771/5*d**2 - 1682/5*d + 0 + 7973/5*d**3 + 9/5*d**5 + 529/5*d**4 = 0.
-29, -1, 0, 2/9
Let u(k) = -3668*k - 205408. Let h be u(-56). Let h*p + 2/15*p**4 + 4/3*p**3 + 0 + 32/15*p**2 = 0. Calculate p.
-8, -2, 0
Let 71310*h - 90*h**2 - 335*h**2 - 85*h**2 - 13875 - 79260*h - 66*h**3 - 930*h**2 + 3*h**4 = 0. What is h?
-5, 37
Suppose -4*k = -3*n - 14, 6*n - 2*n + 10 = k. Solve 53*j**2 + 2*j**3 - 75*j**k + 0*j**3 = 0.
0, 11
Let r(a) = 58*a**3 + 4246*a**2 + 8558*a + 4265. Let j(p) = -4*p**3 - 4*p - 1. Let f(c) = 30*j(c) + 2*r(c). Solve f(z) = 0.
-1, 2125
Let l(w) be the third derivative of -w**5/12 - 565*w**4/4 + 3400*w**3/3 - 18*w**2 + w - 46. Determine x so that l(x) = 0.
-680, 2
Let m be 3 - 1 - (42/(-35))/(-1). Let a(u) be the second derivative of -18/5*u**2 - 1/15*u**4 + 0 + m*u**3 - 8*u. Factor a(o).
-4*(o - 3)**2/5
Let n(g) be the second derivative of 29/3*g**3 + 12*g**2 - 2*g + 0 - 5/12*g**4. Factor n(x).
-(x - 12)*(5*x + 2)
Let l(p) = 2*p**2 + 18*p + 45. Let y be l(-3). Suppose 108 = -y*k + 63*k. Factor -14/3*b**4 + 8/3*b**5 + 0 + 2/3*b**k + 0*b + 4/3*b**3.
2*b**2*(b - 1)**2*(4*b + 1)/3
Let l(p) be the second derivative of -40*p**6/21 - 32*p**5/7 + 131*p**4/21 + 74*p**3/7 + 36*p**2/7 + 4312*p. Suppose l(n) = 0. What is n?
-2, -3/10, 1
Let k be (-1)/((-106)/520 + (-2)/(-13)). Suppose -k*u = -24*u + 64. Determine i so that i**3 - 15*i**3 - u*i**2 + 1107*i**4 - 1109*i**4 + 32*i = 0.
-4, 0, 1
Suppose -3*z + 9*z = -162. Let p = z - -49. Solve -22*t - 2*t**3 + p*t**2 - 12*t**3 + 4 + 10*t**2 = 0 for t.
2/7, 1
Factor -138*o + 36130*o**2 - 36129*o**2 - 30*o.
o*(o - 168)
Let b = 54 + 