 1161*s**2 + 834*s - 1584. Let j(n) = -14*n**3 - 53*n**2 - 38*n + 72. Let r(p) = 2*g(p) + 45*j(p). Suppose r(t) = 0. Calculate t.
-4, -2, 3/4
Factor 1286214/5*h + 2778/5*h**2 + 198505694/5 + 2/5*h**3.
2*(h + 463)**3/5
Suppose 5*l = -z - 115, -3*l - z = -0*l + 67. Let w be (-1)/(-3) - 112/l. Let 5*p**2 - p**2 - w*p - 15*p + 16 = 0. What is p?
1, 4
Let t(a) = -1 - 53*a**3 - a**2 + 111*a**3 - 4*a**4 + 3*a**4 - 58*a**3. Let k(y) = 3*y**4 + 14*y**3 + y**2 - 14*y + 2. Let w(g) = 3*k(g) + 6*t(g). Factor w(r).
3*r*(r - 1)*(r + 1)*(r + 14)
Factor 419*v + 576666 + 4*v**2 + 1393*v + 1504*v + 10090 - 252*v.
4*(v + 383)**2
Let z(f) = -15*f**3 + 122*f**2 - 8*f - 61. Let p be z(8). Factor -3/8*g + 1/8*g**4 + 3/8*g**p + 1/2 - 5/8*g**2.
(g - 1)**2*(g + 1)*(g + 4)/8
Let h(c) be the second derivative of -c**6/10 + 3*c**5/2 - 8*c**4 + 16*c**3 + 4217*c. Let h(z) = 0. What is z?
0, 2, 4
Suppose -2438*i - 591*i + 6058 = 0. Factor -3/4 + 303/4*z**i + 75*z.
3*(z + 1)*(101*z - 1)/4
Solve 52*d**2 + 6*d**3 + 18*d**3 - 4*d**4 + 144 - 204*d - 12*d**3 + 0*d**3 = 0.
-4, 1, 3
Factor -58*i + 69*i**2 - 41*i + 21*i**4 - 71*i**4 + 42 + 19*i**4 - 9*i**3 + 28*i**4.
-3*(i - 2)*(i - 1)**2*(i + 7)
Let u(f) be the second derivative of 7*f**6/45 + 11*f**5/10 - 409*f**4/18 + 269*f**3/3 - 66*f**2 + 3*f - 311. Find d such that u(d) = 0.
-11, 2/7, 3
Suppose 72 = 98*s - 124. Let w(y) be the second derivative of 0*y**3 + 0 - 14*y + 0*y**4 + 1/90*y**6 + 0*y**s + 1/60*y**5. Factor w(i).
i**3*(i + 1)/3
Let l be (12 + -35)/((-1035)/90). Solve 0 + 0*t + 4/9*t**l - 2/9*t**3 = 0 for t.
0, 2
Factor 649*g + 26593*g + 25777*g + 41*g**3 - 56307 + 7*g**3 + 3240*g**2.
3*(g - 1)*(4*g + 137)**2
Let n(z) = 5*z**2 - 1106*z + 305809. Let s(x) = 47*x**2 - 9954*x + 2752281. Let i(c) = -38*n(c) + 4*s(c). What is j in i(j) = 0?
553
Determine b so that -198/7*b**3 + 264*b**2 + 4320/7 - 5976/7*b + 6/7*b**4 = 0.
1, 6, 20
Let t(r) = r**4 - 62*r**2 - 294*r - 326. Let n(q) = q**2 - q - 1. Let o(f) = 30*n(f) - 5*t(f). Find u, given that o(u) = 0.
-4, -2, 10
Factor 2/5*m**4 - 34/5*m**3 + 124/5*m**2 + 32*m + 0.
2*m*(m - 10)*(m - 8)*(m + 1)/5
Let c(w) = w**2 + 2*w - 2. Suppose 0 = y - 36 + 40, -5 = -3*q + 2*y. Let j(h) = 3*h**2 + 62*h - 737. Let x(v) = q*j(v) + 4*c(v). Factor x(r).
(r - 27)**2
Let d(y) = y**2 - 6*y + 7. Let j be d(3). Let l be ((-390)/12)/(-13) + j/4. Determine k, given that -16*k**3 - k**4 + k**5 + 5*k**2 + 15*k**3 - 4*k**l = 0.
-1, 0, 1
What is r in 2*r**4 - 25501 - 172*r**3 + 25501 + 960*r**2 = 0?
0, 6, 80
Let v(d) be the second derivative of -1/10*d**5 - 9*d**2 - 15*d - 7/6*d**4 + 1 - 5*d**3. Solve v(y) = 0.
-3, -1
Let 0 + 914/11*v**2 + 108/11*v - 520/11*v**3 + 18/11*v**4 = 0. Calculate v.
-1/9, 0, 2, 27
Let t(d) be the third derivative of d**8/168 - 5*d**7/189 - d**6/90 + d**2 - 2693*d - 2. Let t(v) = 0. Calculate v.
-2/9, 0, 3
Let v(f) be the second derivative of 0 + 63*f - 1/40*f**5 - 1/12*f**3 - 1/12*f**4 + 0*f**2. Suppose v(b) = 0. Calculate b.
-1, 0
Let g(b) = b**2 - 27*b - 367. Let j be g(-10). Let l = 85/152 - 7/38. Suppose 0 + 3/4*r**2 + 0*r + l*r**4 + 9/8*r**j = 0. Calculate r.
-2, -1, 0
Let c(j) be the third derivative of -j**8/21 - 38*j**7/245 + 22*j**6/3 + 1627*j**5/105 - 9*j**4/7 - 32*j**3/3 + 17*j**2 + 15*j - 5. Let c(i) = 0. What is i?
-8, -1, -2/7, 1/4, 7
Let p = -77 + 79. Factor 81 - 16*y**2 + 17*y**p - 28*y + 10*y.
(y - 9)**2
Let j(t) = 130*t**3 - 2980*t**2 + 2642*t + 178. Let o(u) = -391*u**3 + 8942*u**2 - 7923*u - 533. Let y(m) = -19*j(m) - 6*o(m). Factor y(v).
-4*(v - 23)*(v - 1)*(31*v + 2)
Let m = 3739/3 - 1243. Let r(w) be the first derivative of -35/2*w**2 - 7 + 20*w + m*w**3 + 5/4*w**4. Factor r(u).
5*(u - 1)**2*(u + 4)
Let c be ((-30)/(-2))/((-5)/(-5)). Let z be 4*6/c + 4/10. Factor 2*q**2 + q**2 - 5*q**z + 0*q**2 + 4*q.
-2*q*(q - 2)
Let r(k) be the second derivative of -24*k + 7/12*k**4 - 5*k**3 + 0 + 18*k**2 - 1/40*k**5. Factor r(w).
-(w - 6)**2*(w - 2)/2
Let u = 241 + -1445/6. Let h(c) be the first derivative of u*c**2 - 1/18*c**3 + 1/2*c + 13. Solve h(v) = 0.
-1, 3
Let f(r) be the third derivative of -r**8/21 - 122*r**7/105 - 167*r**6/30 - 134*r**5/15 - 4*r**4 - 4539*r**2. Find b, given that f(b) = 0.
-12, -2, -1, -1/4, 0
Determine s so that -s**4 + 17 + 16 - 2*s**2 - 54 + 4*s**2 + 20 = 0.
-1, 1
Let k(h) be the second derivative of -1/7*h**3 + 3/35*h**6 + 0 + 4/7*h**2 + 1/70*h**5 + 150*h + 2/147*h**7 - 13/42*h**4. Determine t so that k(t) = 0.
-4, -1, 1/2, 1
Let i(z) be the third derivative of z**8/756 - 4*z**7/945 - 7*z**6/135 - 8*z**5/135 + 13*z**4/54 + 20*z**3/27 + 171*z**2. Let i(p) = 0. What is p?
-2, -1, 1, 5
Let v(j) be the second derivative of 0*j**2 + 0*j**4 - 1 - 1/10*j**6 + 1/5*j**5 + 0*j**3 - 2*j - 1/42*j**7. Factor v(p).
-p**3*(p - 1)*(p + 4)
Suppose 3*g - 29 = 4*h, -4*g + h + 14 + 16 = 0. Suppose -2013 - 255 = -81*x. Factor 22 + 24 + 19*q**3 - 6*q**2 + g*q**4 - x*q - 38.
(q - 1)*(q + 2)**2*(7*q - 2)
Let x(n) be the second derivative of -n**4/12 - 316*n**3/3 - 630*n**2 - 1621*n. Find j such that x(j) = 0.
-630, -2
Let q(k) be the third derivative of k**6/300 + 17*k**5/50 - 2*k**2 + 46*k. Factor q(r).
2*r**2*(r + 51)/5
Let y = 454797 - 2273971/5. Factor 57/5*x + 1/5*x**3 - 72/5 - y*x**2.
(x - 8)*(x - 3)**2/5
Let p(h) = -9*h**2 + 55*h + 941. Let g(y) = y**2 + y + 13. Let r(i) = -7*g(i) - p(i). Factor r(q).
2*(q - 43)*(q + 12)
Let h = 105 + -60. Suppose s - 16*s + h = 0. Solve 10/9*c**s - 4*c**2 + 4/3 + 14/9*c = 0 for c.
-2/5, 1, 3
Let u be 2/16 - (12/66 - 120/2112). Let g(a) be the first derivative of u*a**2 + 2/55*a**5 + 6/11*a**3 + 0*a + 3/11*a**4 - 13. Determine i, given that g(i) = 0.
-3, 0
Let j be ((-8)/20)/((-9)/(-15))*6. Let k be 1/j*-2 - 237/(-6). Factor 4*x**3 - 50*x**2 + 54*x**2 + 17 - k*x - 9 + 24.
4*(x - 2)*(x - 1)*(x + 4)
Let t = 3/740797 + 5926361/3703985. What is c in -t*c**2 + 7/5*c - 1/5*c**5 - 2/5 + 2/5*c**3 + 2/5*c**4 = 0?
-2, 1
Let k(x) be the first derivative of 5*x**4/4 - 545*x**3/3 + 270*x**2 + 6. Determine z, given that k(z) = 0.
0, 1, 108
Let a(m) be the first derivative of 5*m**3 - 155*m**2/2 + 180*m - 3731. Factor a(y).
5*(y - 9)*(3*y - 4)
Let y = 785/452 + -168/113. Let -1/2*b + 3/4 - y*b**2 = 0. What is b?
-3, 1
Solve 5*f**3 - 25/2*f**4 - 90*f + 215/2*f**2 - 90 = 0.
-3, -3/5, 2
Let d be (-4 + 3)/(60/(-20) + 22/8). Suppose -4*l + 4*l**3 - 10*l**2 + 2/5*l**d + 48/5 = 0. What is l?
-12, -1, 1, 2
Let j(l) be the second derivative of l**7/70 + 4*l**6/25 - 81*l**5/50 - 9*l**4/5 + 81*l**3/2 - 486*l**2/5 + 7796*l. Find h such that j(h) = 0.
-12, -3, 1, 3
Suppose -27*w + 36*w - 11907 = 0. Find t, given that 661*t**2 + 637*t**2 - w*t**2 + 20*t + 5*t**3 = 0.
0, 1, 4
Factor -544077*b**2 - 4791*b - 2969*b + 544072*b**2 - 3010880.
-5*(b + 776)**2
Let f be (-10)/(-12)*(-20 - 192/(-15))/(-2). What is a in 15/2*a + 3/2*a**4 - 27/2*a**2 + 0 + 9/2*a**f = 0?
-5, 0, 1
Let j(m) be the second derivative of -m**7/126 + 8*m**6/45 - m**5/2 - 12*m**4 + 135*m**3/2 + 6356*m. Suppose j(d) = 0. What is d?
-5, 0, 3, 9
Factor -3/2*s**4 + 171/2*s**3 - 165*s**2 + 0*s + 0.
-3*s**2*(s - 55)*(s - 2)/2
Let k be 0 + 2 - 22*2/22. Let v(p) be the second derivative of 0*p**4 + 0*p**2 + k - 17*p - 1/70*p**5 + 1/21*p**3. Factor v(y).
-2*y*(y - 1)*(y + 1)/7
Let f = 1370629787/3975983 + -1/361453. Let u = -344 + f. Factor -u*w - 2/11*w**4 - 12/11*w**2 - 8/11*w**3 - 2/11.
-2*(w + 1)**4/11
Solve 0*k + 0 + 1/5*k**4 + 0*k**2 + 5*k**3 = 0.
-25, 0
Suppose -4*w - 352 = -624. Let u be -1 - (2 - 6/96*w). Suppose 0 + 25/4*b - u*b**2 = 0. What is b?
0, 5
Let o(w) be the first derivative of 63/20*w**4 + 1/10*w**6 + 24/25*w**5 + 12/5*w**2 - 23 + 0*w + 22/5*w**3. Suppose o(f) = 0. Calculate f.
-4, -2, -1, 0
Determine d, given that 636*d**3 - 4*d**4 + 248*d**3 + 902*d**2 - 884*d + 97*d**2 - 888 - 107*d**2 = 0.
-1, 1, 222
Find j such that -15/2*j**2 - 325 - 985/2*j = 0.
-65, -2/3
Let y(c) be the third derivative of -2/135*c**5 - 1/945*c**7 + 1/135*c**6 + 0*c**3 + 0*c + 0 + 0*c**4 - 103*c**2. Factor y(v).
-2*v**2*(v - 2)**2/9
Let n = 6/27395 - -109538/191765. Factor -n - 2/7*l**2 + 6/7*l.
-2*(l - 2)*(l - 1)/7
Let s(r) be the third derivative of r**5/450 - 193*r**4/45 + 148996*r**3/45 - 2634*r**2. Factor s(p).
2*(p - 386)**2/15
Let y(a) be the first derivative of 144*a + 56 - 8*a**3 - 6*a**4