f 3*u**2 + 7*u - 74 - 1/3*u**3. Suppose b(g) = 0. What is g?
-1, 7
Let f(l) = -7*l**4 - 50*l**3 - 486*l**2 + 1018*l - 529. Let o(k) = -6*k**4 - 49*k**3 - 478*k**2 + 1017*k - 529. Let b(t) = -5*f(t) + 6*o(t). Factor b(j).
-(j - 1)**2*(j + 23)**2
Let h(r) be the first derivative of 52*r + r**4 + 22 - 52/3*r**3 - 2*r**2. Factor h(s).
4*(s - 13)*(s - 1)*(s + 1)
Let g(l) = -8*l**2 - 174*l - 593 + 85*l + 0*l**2. Let v(y) = -7*y**2 - 88*y - 592. Let h(o) = -4*g(o) + 5*v(o). Suppose h(k) = 0. What is k?
-14
Let h(b) = -5*b - 131. Let l be h(-27). Factor -80*x**2 + 2*x**5 + 66*x**3 + 98*x**4 + 79*x**4 - 197*x**l + 32*x.
2*x*(x - 4)**2*(x - 1)**2
Determine y so that -66*y**2 + 19 - 53*y**2 + 480*y + 225 + 120*y**2 + 235 = 0.
-479, -1
Let z(m) = -18*m + 8. Let p be z(-3). Suppose 3 + 5*t**2 + p*t + 47 - 7*t = 0. Calculate t.
-10, -1
Let r be (11*(0 - 3))/(15/(-35)). Suppose -77 + 435*y + r*y**2 - 5*y**3 - 287*y**2 - 22 - 121 = 0. What is y?
-44, 1
Find i, given that -542/7*i + 52/7 - 6*i**2 = 0.
-13, 2/21
Let k(h) = 3*h**3 - 2*h**2 + h**3 + 15*h - 4 - 7*h**2 - 3*h**3. Let a be k(7). Solve -a - 5 + 0 - 2*r**2 + r - 11*r = 0 for r.
-4, -1
Determine j, given that 4118*j + 14*j**2 + 86*j**3 - 14*j**4 + 5*j**5 - 4130*j - 3*j**5 - 76*j**3 = 0.
-1, 0, 1, 6
Find f, given that -252/17*f + 7938/17 + 2/17*f**2 = 0.
63
Let w(g) be the first derivative of -5*g**6/2 + 24*g**5/5 + 117*g**4/4 - 86*g**3 + 30*g**2 + 72*g - 1349. Let w(q) = 0. Calculate q.
-3, -2/5, 1, 2
Let s(z) be the first derivative of -z**6/8 + 27*z**5/20 - 27*z**4/8 + 3012. Determine g, given that s(g) = 0.
0, 3, 6
Let v(b) be the first derivative of 0*b**3 + 1/132*b**4 - 7/2*b**2 + 1/330*b**5 + 0*b + 16. Let j(x) be the second derivative of v(x). Solve j(t) = 0 for t.
-1, 0
Suppose -10*m + 2 = -9*m - 3*t, 72 = 4*m + 4*t. Factor 320 - m*y**2 + 325 - 2*y**3 - 645 - 12*y.
-2*y*(y + 1)*(y + 6)
Let y be 40/238 + ((-104)/91 - (-3450)/2737). Find k such that -y*k**3 + 0 - 2*k + 16/7*k**2 = 0.
0, 1, 7
Let t = -6379 + 6382. Let v(h) be the third derivative of -12*h**2 + 0 + 1/280*h**7 + 1/2*h**t + 13/80*h**5 + 3/8*h**4 + 0*h + 3/80*h**6. Factor v(b).
3*(b + 1)**2*(b + 2)**2/4
Factor -50*d - 19*d**3 + 21*d**3 + 135 - 19*d**2 - 59*d**2 - 34*d + 25.
2*(d - 40)*(d - 1)*(d + 2)
Let p(o) be the second derivative of -o**6/180 - 3*o**5/20 - 9*o**4/8 - 28*o**3/9 - 4*o**2 - 35*o - 5. Factor p(y).
-(y + 1)**2*(y + 4)*(y + 12)/6
Suppose -74*b - 30 = -84*b. Suppose -21*m + 19*m - 10 = 7*u, b*u + 2 = -2*m. Factor 33/4*f + 3 + 21/4*f**m.
3*(f + 1)*(7*f + 4)/4
Let x(g) be the third derivative of -g**5/30 + 109*g**4/12 - 140*g**3 - 145*g**2 + 2. Suppose x(l) = 0. What is l?
4, 105
Find k such that 300 - 21/4*k**3 - 1/4*k**4 + 35*k - 27*k**2 = 0.
-10, -4, 3
Suppose 4*s - 9*a + 7*a - 9 = 13, 5*a + 35 = 0. Factor w**s - 1 - 1/7*w**3 + 1/7*w.
-(w - 7)*(w - 1)*(w + 1)/7
Let d(g) be the third derivative of -g**6/40 + 7*g**5/20 - 2*g**4 + 6*g**3 + 9*g**2 - 36*g. Factor d(r).
-3*(r - 3)*(r - 2)**2
Suppose -5*b = 2*i - 19, 3*i - 3 = -33*b + 34*b. Let a(k) = k**3 - 5*k**2 - 6*k + 4. Let h be a(6). Let 4*s**3 - 24*s**2 + 4*s + h*s + 12*s**i = 0. Calculate s.
0, 1, 2
Let p(h) be the second derivative of -1/30*h**6 + 31*h + 1/10*h**5 + 0*h**2 + 0*h**3 - 1/12*h**4 + 0. Determine b so that p(b) = 0.
0, 1
Suppose 67*a - 2888 + 2620 = 0. Determine z so that 163/3*z**3 + 116/3 + 3*z**5 - 323/3*z**2 + 89*z**a - 112/3*z = 0.
-29, -1, 2/3
Let k be 824/524373*(1 - 7/4). Let z = 3368/22061 - k. Factor -2/13*l**4 + 4/13*l**2 - 2/13*l**5 - z + 4/13*l**3 - 2/13*l.
-2*(l - 1)**2*(l + 1)**3/13
Let a(x) be the third derivative of x**7/42 - 1523*x**6/120 - 107*x**5/3 - 51*x**4/2 - 1691*x**2. Let a(y) = 0. Calculate y.
-1, -2/5, 0, 306
Suppose 4*i = 5*d + 72, -2*d = 2*i + 3*d - 36. Suppose 5*y - 2 = i. Suppose -34*m**y - 35*m**3 - 236*m**2 + 226*m**2 + 14*m**4 + 5*m = 0. What is m?
-1, 0, 1/4
Factor -2223 + 12*q**2 + 2094*q + 768 - 8*q**2 - 2*q**2 - 641.
2*(q - 1)*(q + 1048)
Let h(q) = -3*q**2 - 16*q + 217. Let r(v) = 6*v**2 + 34*v - 427. Let d(x) = -5*h(x) - 2*r(x). Factor d(y).
3*(y - 7)*(y + 11)
Let j(t) be the first derivative of t**4/30 + 28*t**3/45 + 8*t**2/3 + 5323. Factor j(x).
2*x*(x + 4)*(x + 10)/15
Factor 4832*x - 9*x**2 + 16*x**2 - 4006 - 3*x**2 - 830.
4*(x - 1)*(x + 1209)
Find h, given that -2/5*h + 26/5*h**2 + 2/5*h**3 - 26/5 = 0.
-13, -1, 1
Let w(d) be the second derivative of -1/12*d**4 + 9*d + 18/5*d**2 - 1/5*d**3 + 0 - 1/200*d**5. Factor w(p).
-(p - 2)*(p + 6)**2/10
Suppose -c + 6*c - 20 = 0. Suppose -c*d + 9*d - 35 = 0. Factor -25 - d*v + 0 - 3*v - v**2.
-(v + 5)**2
Let o be (-6)/(-18) + (3 - (-1)/(-3)). Suppose 1 = o*a - 5. Determine j so that 20/3*j - 2/3*j**a - 50/3 = 0.
5
Suppose 11*r - 12*r = 6. Let z be 3/(-6) - 21/r. Factor 25*h**2 + 3*h + 5*h**z + 12*h - 16 - 29.
5*(h - 1)*(h + 3)**2
Suppose 2*f = 2*p - 114, 35*p - 31*p + 2*f - 210 = 0. What is n in -7*n**3 + p*n**2 - 107*n**2 + 3872*n - 95*n**2 - 28*n**2 + 9*n**3 = 0?
0, 44
Let b(d) be the second derivative of 1/21*d**3 + 1/84*d**4 + 1/14*d**2 + 3*d + 8. Determine c, given that b(c) = 0.
-1
Suppose 275*o - 265*o = -19840. Let a = o - -1986. Factor 0*v**a - 2/7*v**3 + 0 + 2/7*v.
-2*v*(v - 1)*(v + 1)/7
Let f(w) = 14*w**2 + 1846*w - 4018. Let j be f(-134). Factor -9/2*k**2 + 3*k**3 + j*k + 0 - 1/2*k**4.
-k*(k - 4)*(k - 1)**2/2
Suppose 0 = 9*h + 4751 - 4931. Let u be (12/(-10))/((-12)/h). Factor -25/2*j - 30*j**u - 1/2*j**5 + 0 - 6*j**4 - 23*j**3.
-j*(j + 1)**2*(j + 5)**2/2
Let o(d) be the first derivative of 3*d**5/10 + 7*d**4/2 + 13*d**3 + 17*d**2 + 15*d/2 - 1732. Determine w, given that o(w) = 0.
-5, -3, -1, -1/3
Suppose 2*k = 4*n + 3682, -2*n = n + 4*k + 2756. Let i = -920 - n. Let i - 1/2*l**3 - 9/2*l - 3*l**2 = 0. Calculate l.
-3, 0
Let m = 1/35 + 4/7. Let y be ((-6)/(-50))/((288/(-90))/(-16)). Determine s so that -3*s**2 + y*s + 9/5*s**3 + m = 0.
-1/3, 1
Let z be 2/(-18)*184/72*6. Let n = z + 430/189. Factor 0 + 2/7*m**2 - n*m.
2*m*(m - 2)/7
Factor -19220 - 98584/5*j**2 - 4/5*j**4 + 38688*j + 1248/5*j**3.
-4*(j - 155)**2*(j - 1)**2/5
Let z(l) be the second derivative of l**5/130 - 7*l**4/78 - 34*l**3/39 + 40*l**2/13 + 729*l. Factor z(x).
2*(x - 10)*(x - 1)*(x + 4)/13
Let x be 4*(-3)/(-3)*40. Let 11*y**5 - 3*y**4 - 10 - 6*y**5 - x*y - 50 - 25*y**3 + 18*y**4 - 135*y**2 = 0. Calculate y.
-2, -1, 3
Let o(f) = -53*f**2 - 13772*f + 9480645. Let s(n) = -930*n**2 - 234125*n + 161170965. Let d(i) = -35*o(i) + 2*s(i). Factor d(w).
-5*(w - 1377)**2
Suppose 59*f = -53*f. Let d(y) be the third derivative of 0*y**5 - 1/3696*y**8 + f + 0*y**4 - 1/1155*y**7 - 1/1320*y**6 + 0*y**3 + 0*y - 27*y**2. Factor d(b).
-b**3*(b + 1)**2/11
Let p(x) be the third derivative of -x**8/3192 + 3*x**7/665 - 2*x**6/285 + 68*x**2 - 4. Factor p(s).
-2*s**3*(s - 8)*(s - 1)/19
Factor -94*y**2 - 4*y - 54 - 93*y**2 + 284*y**2 - 26 - 93*y**2.
4*(y - 5)*(y + 4)
Suppose -10903 = 52*t + 26277. Let q = t + 717. Suppose -28/3*r - 16/3 - 8/3*r**q + 4/3*r**3 = 0. What is r?
-1, 4
Let o(n) be the second derivative of -1/50*n**6 - 16*n + 2 - 3/10*n**4 + 2/5*n**3 + 12/5*n**2 - 3/20*n**5. Factor o(c).
-3*(c - 1)*(c + 2)**3/5
Let z = -168029 + 168031. Factor -16/5*u**z + 20 + 2/5*u**3 + 2*u.
2*(u - 5)**2*(u + 2)/5
Let u(h) be the third derivative of -h**6/160 - 21*h**5/80 - 55*h**4/16 - 2127*h**2 + 2*h. Solve u(c) = 0 for c.
-11, -10, 0
Determine q, given that -851/12*q**2 - 67/12*q**3 + 0 + 9583/12*q - 1/12*q**4 = 0.
-37, 0, 7
Let q(o) = -3*o**3 + 28*o**2 - 25*o - 4. Suppose -6 = -0*y - 6*y. Let t(x) = y - 4*x - x**2 + 8*x - 3*x. Let u(h) = -q(h) - 4*t(h). Factor u(c).
3*c*(c - 7)*(c - 1)
Let r(c) be the third derivative of -c**6/16 - 21*c**5/160 + 2*c**4 + 33*c**3/16 - 496*c**2. Determine t, given that r(t) = 0.
-3, -1/4, 11/5
Let m(l) = 26*l**2 + 57*l + 63. Let b(j) be the first derivative of -4*j**3 - 14*j**2 - 32*j - 207. Let z(w) = 9*b(w) + 4*m(w). Factor z(s).
-4*(s + 3)**2
Suppose -14*a + 16*a - 10 = 0. Let q be (-1 - -3 - 0)/(a - 4). Suppose -47 + 2 + 5*f**q - 11*f + 51*f = 0. What is f?
-9, 1
Factor 266*l - 18*l**2 - 10*l**2 + 47*l**2 + 106*l + 1089 - 16*l**2.
3*(l + 3)*(l + 121)
Let k(g) be the second derivative of -7*g**4 + 7*g**3/2 + 6*g**2 + 33*g - 3. Let t(h) = -4*h**2. Let z(j) = k(j) + 6*t(j). What is r in