(f) be the first derivative of 1/12*f**3 + 9/8*f**2 + 7/2*f + 77. What is b in l(b) = 0?
-7, -2
Determine w so that 19866*w**4 - 10*w - 65*w**2 - 58*w**3 - 80*w**5 + 13*w**3 - 19666*w**4 = 0.
-1/4, 0, 1, 2
Let z(v) be the second derivative of 0*v**4 + 0*v**2 + 1/15*v**6 + 0*v**3 + 75*v + 0 + 1/5*v**5 + 1/168*v**7. Find q such that z(q) = 0.
-4, 0
Factor -45*g**2 + 35/3 - 85/3*g**3 - 5*g.
-5*(g + 1)**2*(17*g - 7)/3
Let s(a) be the second derivative of -2*a**6/15 - 59*a**5/5 - 280*a**4 + 600*a**3 - 1801*a. Suppose s(w) = 0. What is w?
-30, 0, 1
Let i be 4/(-360)*(-1 + 1/(-2)). Let n(w) be the third derivative of -11/12*w**4 + 121/6*w**3 + 0*w + 0 + 14*w**2 + i*w**5. Suppose n(t) = 0. What is t?
11
Determine k, given that 0*k + 15000/7*k**2 + 0 + 206/7*k**4 - 800*k**3 - 2/7*k**5 = 0.
0, 3, 50
Let h(b) be the third derivative of b**7/1260 + 19*b**6/720 + 19*b**5/60 + 14*b**4/9 + 32*b**3/9 - 921*b**2. Factor h(q).
(q + 1)*(q + 2)*(q + 8)**2/6
Factor 368/7*a + 0 - 1660/7*a**2 + 18/7*a**3.
2*a*(a - 92)*(9*a - 2)/7
Let m be 5/(-89)*150/(-18). Let p = -12/89 + m. Suppose -5/3*k**2 + p*k**3 + 0 + 2/3*k**4 + 2/3*k = 0. What is k?
-2, 0, 1/2, 1
Let i(s) be the second derivative of -s**5/190 - 331*s**4/114 + 1449*s. Factor i(a).
-2*a**2*(a + 331)/19
Let r(z) = -8*z**3 - 246*z**2 + 245*z - 6. Let c(x) = 95*x**3 + 2950*x**2 - 2940*x + 70. Let v(w) = -3*c(w) - 35*r(w). Factor v(o).
-5*o*(o - 1)*(o + 49)
Suppose 682*k = 446*k. Solve k + 53/3*w**3 + 82/3*w**2 - 5/3*w**4 + 8*w = 0 for w.
-1, -2/5, 0, 12
Let g be ((-24)/(-10))/((-27)/(-30)). Let o = -5738/63 - -10820/63. Find s such that -o*s**2 + 88/3*s - g = 0.
2/11
Let a be (-12)/(-24) - -1*(-6)/(-72). Let u = 11/12 + a. Factor 3/4*y - u*y**4 + 0*y**3 + 0 + 3/2*y**2 - 3/4*y**5.
-3*y*(y - 1)*(y + 1)**3/4
Let r = 175561/70 + -2508. Let q(v) be the second derivative of 0 - 1/21*v**3 - 1/7*v**2 - 12*v + r*v**5 + 1/42*v**4. Determine j, given that q(j) = 0.
-1, 1
Let y(f) = -f**4 - 3*f**3 + 20*f**2 - 13. Let w(k) = -k**4 + k**3 - 1. Suppose -r - 18*r - 19 = 0. Let n(m) = r*y(m) - 3*w(m). Find c, given that n(c) = 0.
-2, -1, 1, 2
Let j be (30/55)/(-1) + 2. Let h be ((24/(-154))/2)/(5*(-11)/3080). Factor 2/11*n**4 - 64/11*n - j*n**3 + h*n**2 + 32/11.
2*(n - 2)**4/11
Let s(c) be the second derivative of 7/3*c**3 + 3 - 18*c - 3*c**2 - 2/3*c**4. Factor s(a).
-2*(a - 1)*(4*a - 3)
Let y(f) be the second derivative of -f**4/3 + 20*f**3/3 - 42*f**2 - 427*f. Solve y(x) = 0.
3, 7
Let k(p) be the third derivative of -p**5/135 + 13*p**4/108 + 8*p**3/9 + 196*p**2. Factor k(g).
-2*(g - 8)*(2*g + 3)/9
Let q(l) = -10*l**2 + 325*l - 755. Let d(j) = 13*j - 18*j + j**2 - 26*j + 84 - 5*j. Let v(h) = -35*d(h) - 4*q(h). Let v(i) = 0. What is i?
4
Let t(m) = -28*m + 196. Let i be t(8). Let a be (-1479)/(-580) + i/16. Solve 0 - 4/5*s - a*s**2 = 0.
-1, 0
Let c(x) = -x**3 - 7*x**2 - 5*x + 8. Let f be c(-6). What is n in 0*n**f - 49*n - 16*n**3 + 29*n**3 - 35*n**2 - n**4 = 0?
-1, 0, 7
Determine f, given that -16*f**4 + 512*f**2 - 8192*f - 131072/5 + 2/5*f**5 + 160*f**3 = 0.
-4, 16
Let b(z) be the third derivative of -z**6/540 + z**5/9 - 26*z**4/27 + 258*z**2. Solve b(h) = 0.
0, 4, 26
Let g = -60 - -77. Solve 43*z + 12*z**3 - 36*z**2 + 9*z**3 - g*z**3 + 17*z - 28 = 0 for z.
1, 7
Let p(b) be the second derivative of -5*b**4/12 + 55*b**3/6 - 45*b**2 + 70*b + 4. Determine q, given that p(q) = 0.
2, 9
Suppose -5*n = 2*g - 23, g - 4*g = 2*n - 18. Suppose n*f**3 + 2*f**3 + 3932*f**2 - 3935*f**2 - 2*f**3 = 0. Calculate f.
0, 1
What is o in 651*o**3 + 744*o - 1879*o**3 + 36 + 183 - 56*o + 5 - 680*o**2 - 84*o**4 = 0?
-14, -1, -2/7, 2/3
Let c(i) = -122*i**2 + 26311*i + 35. Let z(v) = -14*v**2 + 2924*v + 4. Let a(y) = 4*c(y) - 35*z(y). Let a(w) = 0. Calculate w.
-1452, 0
Let q = -35 + 53. Suppose q*o + 10 = 20*o. Factor -5/4*i**4 + o*i - 10*i**2 + 25/4*i**3 + 0.
-5*i*(i - 2)**2*(i - 1)/4
Suppose -11*b + 226 - 193 = 0. Let o be (217/35 - 6)/(b/5). Factor 1/3*h**2 + 0 - o*h.
h*(h - 1)/3
Let p(j) be the first derivative of -j**6/27 - 4*j**5/45 + 29*j**4/18 - 92*j**3/27 - 20*j**2/9 + 112*j/9 + 1058. Let p(i) = 0. What is i?
-7, -1, 2
Let g(d) be the third derivative of d**7/105 + 127*d**6/60 - 263*d**5/10 + 399*d**4/4 + 13*d**2 - 61*d. Factor g(w).
2*w*(w - 3)**2*(w + 133)
Factor 0 + 0*t - 152/13*t**4 - 2/13*t**5 - 3034/13*t**3 - 5476/13*t**2.
-2*t**2*(t + 2)*(t + 37)**2/13
Let w(z) be the third derivative of -z**8/1848 - 4*z**7/385 - 49*z**6/660 - 13*z**5/55 - 10*z**4/33 + 2741*z**2. Determine q so that w(q) = 0.
-5, -4, -2, -1, 0
Factor -4/5*o**3 + 28/5*o**2 + 56/5*o - 96.
-4*(o - 6)*(o - 5)*(o + 4)/5
Let k(f) = 37*f**2 + 140809*f + 330504804. Let u(r) = 24*r**2 + 93873*r + 220336528. Let b(t) = -7*k(t) + 11*u(t). Find g such that b(g) = 0.
-4694
Let d be -54*1*(210/(-20) - 3). Let -162*m - 2187/2*m**3 - 12 - d*m**2 = 0. Calculate m.
-2/9
Factor -19*j**3 - 219*j**2 + 4433/3*j - 1922 - 1/3*j**4.
-(j - 3)*(j - 2)*(j + 31)**2/3
Let j(c) be the second derivative of -9/35*c**5 - c + 0*c**2 - 5/294*c**7 - 11 - 11/70*c**6 + 0*c**3 + 5/21*c**4. Suppose j(q) = 0. What is q?
-5, -2, 0, 2/5
Let i = -24288 - -48577/2. Let b(l) be the first derivative of 8/3*l**3 + 4*l**4 + i*l**2 + 0*l + 26. Factor b(t).
t*(4*t + 1)**2
Factor -820*a**2 + 489 + 111 - 830*a**2 - 125*a + 1651*a**2.
(a - 120)*(a - 5)
Let s be 4 + 87 - ((-6)/(-3))/2. Suppose 87*t + 0*t**3 + 423 + 21*t**3 - 405 + s*t**2 = 0. Calculate t.
-3, -1, -2/7
Suppose 40*w**4 - 77/3*w + 16/3*w**5 + 4 + 16*w**2 + 241/3*w**3 = 0. What is w?
-4, -3, -1, 1/4
Factor 104*y - 286*y - 12*y**2 + 9*y**2 + 2132*y - 316875.
-3*(y - 325)**2
Let o(d) be the third derivative of d**9/5040 - d**8/2240 - d**7/420 - 17*d**4/6 - d**2 - 16*d. Let p(l) be the second derivative of o(l). Factor p(u).
3*u**2*(u - 2)*(u + 1)
Factor 83 - 167/2*j + 1/2*j**2.
(j - 166)*(j - 1)/2
Let f = -67877 - -135755/2. Suppose -f*u**3 - 1/4*u**4 + 3/4*u**2 + 1 + 2*u = 0. What is u?
-2, -1, 2
Let n = 32/1033 - -1650/13429. Factor -4/13*l**2 + 0*l + 0*l**3 + n + 2/13*l**4.
2*(l - 1)**2*(l + 1)**2/13
Let s(v) be the third derivative of v**5/30 + 11*v**4/6 - 23*v**3/3 + 255*v**2. Factor s(l).
2*(l - 1)*(l + 23)
Let u(q) be the third derivative of -q**7/42 + 5*q**6/12 - 3*q**5 + 35*q**4/3 - 80*q**3/3 + 919*q**2. Factor u(w).
-5*(w - 4)*(w - 2)**3
Let z(a) be the first derivative of -34 + 0*a**2 - 48*a - 1/2*a**6 + 3*a**4 + 16*a**3 - 9/5*a**5. Factor z(u).
-3*(u - 2)*(u - 1)*(u + 2)**3
Let v be -1 + -1 - (-14)/5. Let c = 3486/193 - 16658/965. Suppose c*r**2 + 2/5*r - 2/5*r**3 - v = 0. Calculate r.
-1, 1, 2
Let p(i) be the first derivative of -2/5*i**5 + 0*i + 0*i**2 + 3/2*i**4 - 83 + 8/3*i**3. Suppose p(s) = 0. What is s?
-1, 0, 4
Let g(w) be the second derivative of 1/48*w**4 - 1/2*w**3 - 2*w + 9/2*w**2 + 30. Let g(i) = 0. Calculate i.
6
Let u(i) be the first derivative of i**5/5 + 2*i**4 - 62*i**3/3 + 24*i**2 + 117*i + 3845. Factor u(m).
(m - 3)**2*(m + 1)*(m + 13)
Suppose -3*i + 131 + 21 = 5*c, -3*c + 64 = -5*i. Let v be c/8 - 4 - -1. Find g such that 3/4 - 1/4*g**2 + v*g = 0.
-1, 3
Let c(g) be the third derivative of -2/27*g**5 + 65*g**2 + 0 + 0*g + 1/54*g**4 - 16/945*g**7 + 0*g**3 + 17/270*g**6. Let c(u) = 0. Calculate u.
0, 1/8, 1
Let s(h) be the first derivative of -h**9/5292 + h**8/735 + h**7/294 + 26*h**3 + 183. Let n(g) be the third derivative of s(g). Factor n(i).
-4*i**3*(i - 5)*(i + 1)/7
Let d(a) be the first derivative of a**4/20 + a**3 + 15*a**2/2 + 25*a - 56. Factor d(n).
(n + 5)**3/5
Let q(s) = -3*s**2 - 932*s - 1962. Let b(o) = -o**2 - 470*o - 980. Let m(w) = -5*b(w) + 2*q(w). Factor m(f).
-(f - 488)*(f + 2)
Factor 1753 + 7*u**2 - 4*u**2 + 1726 - 3506.
3*(u - 3)*(u + 3)
Factor 35*o**2 - 30*o**2 + o**3 + 674*o - 38*o**2 + 172*o**2 + 536.
(o + 1)*(o + 4)*(o + 134)
Let c = 30 + -34. Let n be c/22 - 96/(-44). Determine v, given that -112*v**3 + 0*v**2 + 113*v**3 - 4*v**2 + 3*v**n = 0.
0, 1
Let d(g) be the second derivative of -g**4/18 - 73*g**3/9 + 158*g**2 + 88*g + 1. Factor d(q).
-2*(q - 6)*(q + 79)/3
Let b(p) be the second derivative of -1/16*p**4 + 0 - 18*p + 3/8*p**3 + 3/2*p**2. Factor b(v).
-3*(v - 4)*(v + 1)/4
Factor -4701*t**3 + 66*t + 298*t + 4697*t**3 + 8*t**2 + 352.
-4*(t - 11)*(t + 1)*(t + 8)
Let l = 262423 - 262421. Find h such that