- 30*b + 46. Let o(i) = -4*i**3 - 10*i**2 - 14*i + 22. Let g(n) = -14*o(n) + 6*t(n). Let g(y) = 0. Calculate y.
-2, 2
What is h in 2/21*h**2 + 124/21*h + 0 = 0?
-62, 0
Let s(u) = -90*u**2 + 501*u - 21. Let o(t) = -17*t**2 + 100*t - 4. Let d(z) = -21*o(z) + 4*s(z). Factor d(p).
-3*p*(p + 32)
Let q(d) = d**3 + 11*d**2 - 9*d + 38. Suppose 3*f + 14 = 3*u - 25, -3*u = 5*f + 57. Let t be q(f). Factor -2*k**3 - 195 + 195 - 2*k**2 + 2*k**4 + t*k.
2*k*(k - 1)**2*(k + 1)
Let m(f) be the first derivative of -25 - 2*f - 2/55*f**5 - 7/11*f**4 - 24/11*f**3 - 34/11*f**2. Let m(z) = 0. Calculate z.
-11, -1
Factor -14/3*c**3 + 91/6*c**2 + 1/6*c**4 + 0 + 20*c.
c*(c - 24)*(c - 5)*(c + 1)/6
Let -308*o**3 - 303 - 9*o**2 - 645 + 539 - 5*o**2 + 2168*o + 2*o**4 - 1439 = 0. What is o?
-3, 1, 2, 154
Let a(q) = -2*q**3 + 3*q**2 + 386*q + 120. Let s be a(-13). Factor -s - 5/2*o + 1/2*o**2.
(o - 6)*(o + 1)/2
Let w = 878 - 874. Let j(v) be the third derivative of -11*v**2 + 0 + 0*v + 5/36*v**w - 1/180*v**6 + 1/3*v**3 + 1/90*v**5. Factor j(y).
-2*(y - 3)*(y + 1)**2/3
Let f = 803812/7 - 115202. Let t = 372 + f. Factor 0*j + 0 + 1/7*j**4 + 3/7*j**3 + t*j**2.
j**2*(j + 1)*(j + 2)/7
Let p be (-166)/(-747)*(0 + 9). Let r be p/(-10)*(-189)/7. Factor r*l + 18/5*l**2 + 0 + 3/5*l**3.
3*l*(l + 3)**2/5
Let i be ((-30)/72)/(2625/(-14280)). Suppose 2/15*j**2 - i*j - 12/5 = 0. What is j?
-1, 18
Factor 69/2*z - 108 + 1/2*z**2.
(z - 3)*(z + 72)/2
Let a be 4 + 96/(-20) - 154/(-105). Let d = -525 - -529. Factor -d*z**2 - 6*z - a*z**3 - 8/3.
-2*(z + 1)**2*(z + 4)/3
Let i(c) be the third derivative of c**9/15120 - c**8/5040 - 3*c**5/5 + 5*c**2 + 7*c. Let b(u) be the third derivative of i(u). Factor b(s).
4*s**2*(s - 1)
Let c be (976/(-3660))/(21/(-45)). Find y such that 8/7*y**2 + 0*y - 4/7 + 0*y**3 - c*y**4 = 0.
-1, 1
Suppose 344*j = 346*j + 28. Let s be -1*(-1)/(j/(-4)). Suppose 2/7 + 6/7*p + 6/7*p**2 + s*p**3 = 0. What is p?
-1
Solve 0 + 2/21*t**2 - 200/21*t = 0.
0, 100
Solve 1494/5*o - 3/5*o**2 - 186003/5 = 0.
249
Let q(w) be the third derivative of 3*w**5/10 + 31*w**4/12 - 70*w**3/3 - 2*w**2 + 73. Let q(k) = 0. What is k?
-5, 14/9
Let z = -53774/3 + 17926. Factor 68/9*w**2 + 2/9*w**5 + 46/9*w + 16/9*w**4 + z + 16/3*w**3.
2*(w + 1)**3*(w + 2)*(w + 3)/9
Let h(y) be the third derivative of y**5/210 - 11*y**4/14 - 225*y**3/7 - 3*y**2 - 546. Determine n, given that h(n) = 0.
-9, 75
Let m(g) = g**3 - 33*g**2 - 3*g + 101. Let b be m(33). Factor 2*q - 13*q**2 + q**b + 6*q**3 - 6*q - 5*q + 12*q**4 + 3*q**5.
3*q*(q - 1)*(q + 1)**2*(q + 3)
Let p(i) = i**2 + 2387*i - 4775. Let c be p(2). Let 0 + 0*a - 20/17*a**2 - 2/17*a**c = 0. What is a?
-10, 0
Factor 2/9*o**3 + 94/9*o**2 + 0 - 100/3*o.
2*o*(o - 3)*(o + 50)/9
Let x be (-40)/150*-15 - (0 - -1). Let m(g) be the first derivative of 23 + 20*g**2 + 46/3*g**3 + x*g**4 - 8*g. Let m(i) = 0. What is i?
-2, 1/6
Let y(q) = 2*q**3 - 2*q + 3. Let n be y(1). Let h = 6 - n. Factor -20*r**5 - 11*r**5 + 18 + 18*r**4 + 92*r**2 - 66*r + 29*r**5 - 60*r**h + 0.
-2*(r - 3)**2*(r - 1)**3
Let n(g) be the third derivative of g**5/20 + g**4 + 8*g**3 - 77*g**2 + 6. Factor n(u).
3*(u + 4)**2
Factor -57/2 - 33/2*w**2 + 177/4*w + 3/4*w**3.
3*(w - 19)*(w - 2)*(w - 1)/4
Solve -990*a**3 - 123*a**4 - 123*a**4 - 46985*a**2 - 126*a**4 + 199980*a + 367*a**4 - 204020 = 0 for a.
-101, 2
Let o(s) = 45*s**3 - 12288*s**2 + 836405*s - 9. Let n(l) = 45*l**3 - 12290*l**2 + 836405*l - 10. Let q(g) = 9*n(g) - 10*o(g). Let q(z) = 0. Calculate z.
0, 409/3
Let j(w) = 7*w**4 + 9*w**3 + 2*w**2 + 4*w + 4. Let u(z) = -2*z**4 - 2*z**3 - z - 1. Let i(x) = j(x) + 4*u(x). Factor i(t).
-t**2*(t - 2)*(t + 1)
Let c = -63/208 + 2131/6864. Let h(g) be the third derivative of 0 + 0*g + 0*g**3 + c*g**4 + 24*g**2 + 1/66*g**5. Solve h(f) = 0.
-1/5, 0
Factor 2/9*d**4 + 686/9 + 44/9*d**3 + 980/9*d + 112/3*d**2.
2*(d + 1)*(d + 7)**3/9
Let k(l) = -9*l**2 + 5*l - 139. Let z(i) = -7*i**2 + 6*i - 107. Let g(o) = -4*k(o) + 5*z(o). Solve g(r) = 0.
-7, -3
Let m(u) = 6*u**2 + 17*u + 17. Let j be m(-4). Let d be ((-9)/j)/((-27)/30)*1. What is v in -8/9 - 8/9*v - d*v**2 = 0?
-2
Let k(t) be the second derivative of 0 + 29*t + 1/4*t**4 + 4*t**3 + 21/2*t**2. Find m, given that k(m) = 0.
-7, -1
Let g(c) = -3*c**2 - 585*c + 576. Let l(z) = 6*z**2 + 1168*z - 1154. Let h(y) = -5*g(y) - 3*l(y). Determine j, given that h(j) = 0.
-194, 1
Let w(u) be the first derivative of -3/2*u**2 - 1/3*u**3 + 77 + 4*u. Find c, given that w(c) = 0.
-4, 1
Factor -2*w**3 + 14510*w**2 - 324900*w + 0*w**3 - 15650*w**2 + w**3.
-w*(w + 570)**2
Let h(p) be the first derivative of p**4/22 + 362*p**3/33 - 365*p**2/11 + 366*p/11 - 1596. Factor h(u).
2*(u - 1)**2*(u + 183)/11
Let p = -1194 - -1223. Suppose 0 = 3*j + 3, -54*y + 4*j + p = -49*y. Factor 12*c**3 + 3/2*c**y - 72*c - 48 - 24*c**2 + 9*c**4.
3*(c - 2)*(c + 2)**4/2
Let p be (-715)/(-800) - 894/9536. Solve -212/5*o**2 - 2704/5 - p*o**3 - 2912/5*o = 0.
-26, -1
Let c(j) = 2*j**3 - 108*j**2 - 453*j - 635. Let a be c(58). Find y, given that 13/5*y**2 + 1/5 + 6/5*y + 4/5*y**4 + 12/5*y**a = 0.
-1, -1/2
Suppose -29*b + 39*b - 160 = 0. Solve -7*i - b*i**5 - 21*i + 60*i**4 - 24*i**4 - 8*i + 84*i**3 + 72 - 140*i**2 = 0 for i.
-2, -3/4, 1, 3
Let j(n) = n**2 - 4*n - 3. Let y be j(13). Suppose -404*o + 105 = -397*o. Factor -o*w**2 + 39*w + 0*w**2 + y - 96.
-3*(w - 3)*(5*w + 2)
Let v(c) = 19*c**2 - 32*c - 107. Let s(h) = -14*h**2 + 34*h + 108. Let k(t) = 4*s(t) + 3*v(t). Factor k(y).
(y + 3)*(y + 37)
Let 180*h + 9*h**2 + 240*h**4 - 20*h**3 + 19*h**2 - 64*h**2 - 236*h**4 = 0. What is h?
-3, 0, 3, 5
Let p be 54690/(-150) - 2/5. Let f = p + 2557/7. Factor -3/7*j**2 + j - 3/7*j**3 - 3/7 + f*j**4.
(j - 1)**3*(2*j + 3)/7
Let j(c) be the second derivative of -6*c**6/5 - 39*c**5 + 71*c**4/3 + 74*c**3 + 44*c**2 - 63*c - 4. Determine i, given that j(i) = 0.
-22, -1/3, 1
Let a be (4 - 5)*1*(1 - 0). Let w(y) = 4*y**3 - 17*y**2 + 23*y - 7. Let r(p) = -p + 1. Let g(b) = a*w(b) - 3*r(b). Let g(h) = 0. What is h?
1/4, 2
Let i(k) be the first derivative of -k**4/66 + 28*k**3/33 - 196*k**2/11 - 57*k + 56. Let g(b) be the first derivative of i(b). Factor g(x).
-2*(x - 14)**2/11
Let i = 11126 + -11122. Let a(j) be the first derivative of -1/7*j**i + 1/35*j**5 + 52 - 2/7*j**2 + 2/7*j**3 + 1/7*j. Factor a(o).
(o - 1)**4/7
Let u(h) be the second derivative of 1/8*h**4 - 44*h - 39/4*h**2 + 1 - 3*h**3. Factor u(k).
3*(k - 13)*(k + 1)/2
Let z be (-14)/((-224)/(-80)) + (265/30 - 1). Factor z*k**4 + 11/3*k**2 - 2/3*k**5 + 1/6 - 14/3*k**3 - 4/3*k.
-(k - 1)**4*(4*k - 1)/6
Let h(a) be the first derivative of a**6/360 + a**5/60 + 34*a**3/3 - 38. Let s(c) be the third derivative of h(c). Suppose s(i) = 0. What is i?
-2, 0
Let o(k) be the second derivative of k**6/30 - 16*k**5/5 - k**4/12 + 32*k**3/3 + 35*k - 32. Find r such that o(r) = 0.
-1, 0, 1, 64
Let g(n) be the second derivative of 1/84*n**4 + 1/42*n**3 + 2*n + 0*n**2 + 65. Suppose g(y) = 0. What is y?
-1, 0
Let s(d) = -11*d**3 - 24*d**2 - 17*d - 17. Let a(v) = -2*v**3 + 4*v**2 - 3*v**3 + 7*v**3 + 3*v - 207 + 210. Let i(o) = 34*a(o) + 6*s(o). Factor i(r).
2*r**2*(r - 4)
Let k be ((-4)/5)/(40/(-800)). Factor -10*n**3 - 5*n**5 - 15*n**4 - n - n + 10*n**2 + n + 5 + k*n.
-5*(n - 1)*(n + 1)**4
Solve 456 + 2*k**2 + 2056*k + 5*k**2 - 4*k**2 + 15*k**2 = 0 for k.
-114, -2/9
Let b(x) be the second derivative of -13*x**4/16 + 97*x**3/4 - 63*x**2 + x - 2613. Find k such that b(k) = 0.
12/13, 14
Suppose 1/2*k**4 + 19*k**2 + 0*k + 0 - 39/2*k**3 = 0. Calculate k.
0, 1, 38
Let c(m) be the second derivative of 37*m**4/54 + 76*m**3/27 + 4*m**2/9 + 4*m - 12. Determine o, given that c(o) = 0.
-2, -2/37
Let n(i) be the first derivative of 149 - 45/2*i**2 - 50*i - 1/4*i**4 - 4*i**3. Factor n(z).
-(z + 2)*(z + 5)**2
What is f in -36*f**4 + 6*f**5 + 52*f**4 - 4*f**2 + 24*f**2 + 777*f**3 - 843*f**3 = 0?
-5, 0, 1/3, 2
Let b(a) be the first derivative of -5*a**6/3 + 647*a**5/5 - 13665*a**4/4 + 87802*a**3/3 + 67034*a**2 + 31944*a - 5598. Solve b(x) = 0 for x.
-1, -3/10, 22
Let l = -588 + 612. Determine w so that 12*w**3 + 4*w**4 - 2*w**3 + 32*w - l*w**2 - 22*w**3 = 0.
-2, 0, 1, 4
Suppose -4/9*l**3 + 640/3 + 896/9*l + 88/9*l**2 = 0. What is l?
-4, 30
Let f(m) = m**2 - 24*m - 72. Let x be f(-3). Let s be x - -36 - (-99)