 276*p**3 + 40*p**4 + 9*p**5 - 490*p - 11*p**5 = 0.
0, 1, 5, 7
Let z(i) = i**3 + 3*i**2 - 2*i - 4. Let l be z(-3). Suppose 8*v - 6*v = -l*v. Factor 0 - 1/6*k**4 + v*k - 1/2*k**3 - 1/3*k**2.
-k**2*(k + 1)*(k + 2)/6
Let h be (-10)/(-8) + (-318)/424 + 19 + -12. Determine l so that -1/2*l**2 + 8 + h*l = 0.
-1, 16
Let i = -6553 + 6555. Let b be ((-5)/9 + 1)/((-16)/(-12)). Let -2/3*s - 1 + b*s**i = 0. What is s?
-1, 3
Suppose 16*r + 3277 - 2973 = 0. Let h be r/(-190) + (174/460 - -1). Factor -2/23*b**3 - 128/23 - h*b**2 - 160/23*b.
-2*(b + 1)*(b + 8)**2/23
Let c(y) be the second derivative of 0*y**4 - 1/240*y**6 + 1/120*y**5 - 1/6*y**3 + 0 + 0*y**2 + 10*y. Let t(j) be the second derivative of c(j). Factor t(x).
-x*(3*x - 2)/2
Let l(f) be the third derivative of f**7/245 + 4*f**6/35 + 3*f**5/14 - 8*f**2 + 154*f + 1. Let l(x) = 0. What is x?
-15, -1, 0
Let x = 168 - 166. Suppose u + 4*u - 2*w - 30 = 0, -5*u - 5 = 5*w. Solve -12*v**3 + 0*v**4 + 9*v**x - v**u + 2*v**4 + 2*v**4 - 12 + 12*v = 0.
-1, 1, 2
Let t(x) be the first derivative of -x**4/2 + 6*x**3 - 20*x**2 + 24*x - 9183. Factor t(l).
-2*(l - 6)*(l - 2)*(l - 1)
Let c(h) = 5*h + 9. Let l be c(-3). Let j be (2 + (-50)/(-15))*l/(-4). Suppose 22*s**2 + j*s**2 - 51*s**3 + 144*s**4 - 71*s**4 - 64*s**4 = 0. Calculate s.
0, 2/3, 5
Let p = 660 - 657. Let q(i) = -i**3 + 4*i**2 - 3*i + 2. Let a be q(p). Let 1/3*v**a - 1/3 + v**3 - v = 0. What is v?
-1, -1/3, 1
Factor -577*z**4 + 1390*z**3 - 486*z**4 - 5*z**5 - 482*z**4 + 160*z**4.
-5*z**3*(z - 1)*(z + 278)
Let q = -1862 - -1021. Let i = q - -1683/2. What is l in -3/2 + i*l**3 - 1/2*l + 3/2*l**2 = 0?
-3, -1, 1
Let i(j) = -1489*j - 122090. Let t be i(-82). Factor 76/3*o + 12*o**3 - 28*o**2 - t - 4/3*o**4.
-4*(o - 6)*(o - 1)**3/3
Factor -546/5 - 1/5*c**2 + 97/5*c.
-(c - 91)*(c - 6)/5
Let b = -59 + 67. Factor 3*u + 11*u**2 + 17*u**2 - 3*u**3 - 16 - 15*u**2 + 11*u**2 - b.
-3*(u - 8)*(u - 1)*(u + 1)
Let j(z) be the third derivative of 1/24*z**4 + 0*z**7 - 1/90*z**6 + 1/90*z**5 + 53*z**2 - 1/9*z**3 - 2 + 1/1008*z**8 + 0*z. Suppose j(x) = 0. Calculate x.
-2, -1, 1
Let f(j) be the first derivative of j**4/4 + 5*j**3/3 - 113*j**2/2 - 117*j + 10906. Determine b, given that f(b) = 0.
-13, -1, 9
Let l(s) be the third derivative of s**8/840 - 2*s**7/175 - s**6/300 + 19*s**5/75 - 32*s**3/15 + 3*s**2 + 4*s - 150. Find i such that l(i) = 0.
-2, -1, 1, 4
Let o(q) be the first derivative of q**6/6 + 11*q**5/5 + 5*q**4/2 - 681. Let o(b) = 0. Calculate b.
-10, -1, 0
Let t = -22208 + 22210. Let k(m) be the third derivative of 0*m + 0 + 18*m**t - 1/960*m**6 - 7/480*m**5 - 5/48*m**3 - 11/192*m**4. Let k(z) = 0. What is z?
-5, -1
Let l(r) be the first derivative of -2*r**5/45 + 23*r**4/9 - 526*r**3/27 - 406*r**2/9 + 416*r/3 - 2857. Suppose l(p) = 0. Calculate p.
-2, 1, 8, 39
Let a(f) = f + 14. Let g be a(-13). Suppose 4*r = -5*d + 26 + 4, 2*d + g = r. Factor -5*t + 5*t**r + 55*t**2 - 10*t**4 + 51*t**2 - 96*t**2.
5*t*(t - 1)**3*(t + 1)
Factor 337 + 577*l + 297*l + 780*l + 3*l**4 - 246*l**3 + 392 - 448*l + 228*l**2.
3*(l - 81)*(l - 3)*(l + 1)**2
Let w = 3316/6033 + 14045587/8066121. Let t = w - 1/191. Solve 12/7 + 4/7*s**2 - t*s = 0 for s.
1, 3
Let w = 145309/12 + -12107. Let s(p) be the second derivative of -5/2*p**2 + w*p**3 - 11*p + 0 + 5/8*p**4. Factor s(u).
5*(u + 2)*(3*u - 1)/2
Let l(y) = -16*y - 6. Let i(h) = h - 1. Let u(j) = -6*i(j) - 2*l(j). Let o be u(9). Factor 3*k - o - 3*k**3 + 6*k**2 + 0*k**2 + 246.
-3*(k - 2)*(k - 1)*(k + 1)
Let a(p) = 2073*p - 12433. Let r be a(6). Let j(b) be the third derivative of 33*b**2 - 1/280*b**6 + 0*b**r + 0*b**3 + 0*b + 0*b**4 + 0. Factor j(y).
-3*y**3/7
Let b(i) = 19*i + 143. Let g be b(-7). Let s be g/260*-2 - 134/(-390). Let -4/15 + 2/3*p**2 + 2/15*p + s*p**3 = 0. Calculate p.
-2, -1, 1/2
Let z(g) = g**2. Let f(y) = -7*y**2 - 36*y - 160. Let l(r) = f(r) + 5*z(r). Let l(j) = 0. Calculate j.
-10, -8
Let u(d) be the first derivative of 4*d**3/3 - 64*d**2 + 448*d - 23. Let u(h) = 0. What is h?
4, 28
Let r(z) be the third derivative of 0*z - 5/42*z**5 + 1/56*z**8 + 29/735*z**7 - 3/28*z**6 + 4 + 2/7*z**4 - 4/21*z**3 - 4*z**2. Solve r(v) = 0 for v.
-2, -1, 2/7, 1/3, 1
Let t(z) be the second derivative of -z**7/63 + 173*z**6/45 + 442*z**5/15 + 536*z**4/9 - 704*z**3/9 - 1424*z**2/3 + 1171*z. Find i such that t(i) = 0.
-2, 1, 178
Suppose 0 = -3*u, 0*h - 32 = -4*h + 3*u. Suppose -h*v - 5*v = -2*v. Let 46*p**2 + 8*p**3 + v*p**3 + 12*p**4 - 46*p**2 + 4*p**5 = 0. What is p?
-2, -1, 0
Let -66*k**3 - 7*k**5 - 209*k**3 - 110*k + 150*k**4 + 390*k - 17*k**5 - 150*k**2 + 19*k**5 = 0. Calculate k.
-1, 0, 1, 2, 28
Suppose 42 = 4*t + 26. Suppose 0 = -3*c + 3*a - 3, c = 2*a - 6*a + t. Let -8/3*p**2 + 0 + 32/3*p**3 - 50/3*p**5 + c*p - 10/3*p**4 = 0. Calculate p.
-1, 0, 2/5
Let f(k) be the first derivative of -4*k**3 + k**4 - 14/5*k**2 - 182 + 24/5*k + 36/25*k**5 + 4/15*k**6. Solve f(y) = 0 for y.
-3, -2, -1, 1/2, 1
Let z(w) = -w**3 + 3*w**2 - 5*w + 78. Let r = -1195 + 1200. Let c be z(r). Suppose -20/3*f - 8/3*f**4 + 7*f**c + 1/3*f**5 - 14/3*f**2 + 8 = 0. Calculate f.
-1, 2, 3
Suppose 9 = -2*u + 3*m, 429*m - 428*m - 2 = u. Suppose -33/2*y**5 + 150*y**2 + 147/2*y + 9 - 3*y**4 + 99*y**u = 0. What is y?
-1, -2/11, 3
Factor 168/11 + 2/11*b**2 - 38/11*b.
2*(b - 12)*(b - 7)/11
Suppose 290*l**3 + 80*l**2 + 76*l - 368 - 30*l**2 - 288*l**3 = 0. Calculate l.
-23, -4, 2
Let x = -485 + 516. Suppose -26*j + x*j - 10 = 0. Factor -6*g - 39*g**j + 147/4*g**4 - 105/2*g**3 + 0.
3*g*(g - 2)*(7*g + 2)**2/4
Let r(a) be the second derivative of -a**6/120 - 127*a**5/40 - 5291*a**4/16 + 4064*a**3/3 - 2048*a**2 - 36*a + 5. Factor r(y).
-(y - 1)**2*(y + 128)**2/4
Let h(m) be the third derivative of 0 + 10/3*m**4 - 1/105*m**7 - 4*m**3 + 7/20*m**6 - 26*m**2 + 0*m - 47/30*m**5 - 1/168*m**8. Determine x so that h(x) = 0.
-6, 1, 2
Factor -9/4*c + 3/4*c**2 - 3/4 + 9/4*c**3.
3*(c - 1)*(c + 1)*(3*c + 1)/4
Solve -306/5*f**3 + 0 + 16224/5*f - 3/5*f**4 - 7488/5*f**2 = 0.
-52, 0, 2
Let t be ((44660/528)/145)/(21/9). Factor 19/2*a - t*a**2 - 361/4.
-(a - 19)**2/4
Suppose 49 = -n + 57. Let v be 2/(-17)*(1 - (11 - n)). Suppose 2/17*f - v + 2/17*f**2 = 0. Calculate f.
-2, 1
What is p in -1/3*p**3 - 13*p**2 + 76/3 - 12*p = 0?
-38, -2, 1
Let i(u) be the second derivative of u**6/10 - 51*u**5/20 - 61*u**4/4 + 17*u**3/2 + 90*u**2 + 2*u + 594. What is f in i(f) = 0?
-3, -1, 1, 20
Let o be (-11)/(-77) + (3 - 9 - -5)*-1. Determine t so that 4/7*t + o*t**2 - 4/7*t**3 - 8/7 = 0.
-1, 1, 2
Let l be (2 - 36/21)*14. Factor 6*n**3 + l - 2*n**3 + 12*n**2 - 1 + 1 + 12*n.
4*(n + 1)**3
Factor 62*z**2 + 68*z**2 - 197*z**2 - 127*z + 70*z**2 - 8*z.
3*z*(z - 45)
Let z be 2*(-6 + 1 + (-4881)/(-180)). Let j = 275/6 - z. Factor -8/5*q + 2/5*q**3 - j + 2/5*q**2.
2*(q - 2)*(q + 1)*(q + 2)/5
Let r = 3 - 7. Let v(h) be the first derivative of h**3/3 - 2*h**2 + 6*h - 12. Let w(q) = q**2 - 4*q + 5. Let c(x) = r*v(x) + 6*w(x). Solve c(l) = 0 for l.
1, 3
Suppose 80 = 7*v - 3*v. Let y be (-3)/(-1 - v/(-23)). Factor 13*a - 80*a**3 + y*a + 34*a**2 + 68*a**2 + 14*a**4.
2*a*(a - 3)**2*(7*a + 2)
Let s(n) be the second derivative of -1/14*n**3 - 1/84*n**4 - 2*n - 73 + 2/7*n**2. Suppose s(r) = 0. Calculate r.
-4, 1
Let v(d) be the first derivative of d**5/510 - d**4/34 + 5*d**3/51 + 25*d**2/2 + 3. Let w(l) be the second derivative of v(l). Determine g so that w(g) = 0.
1, 5
Let z(n) be the third derivative of -n**10/226800 - n**9/45360 - n**8/30240 - 79*n**5/60 - 83*n**2. Let k(s) be the third derivative of z(s). Factor k(w).
-2*w**2*(w + 1)**2/3
Let r(z) = 22*z**2 - 198*z + 6. Let k(q) = -26*q**2 + 200*q - 7. Let y(w) = -6*k(w) - 7*r(w). Solve y(n) = 0 for n.
-93, 0
Suppose -61*a - 17*a - 26*a = 0. Let r(m) be the second derivative of -1/24*m**4 + a - 1/4*m**3 + 4*m + m**2. Factor r(i).
-(i - 1)*(i + 4)/2
Factor 466*v - 678464 - 678032 - 4*v**2 + 1355806.
-2*(v - 115)*(2*v - 3)
Suppose z - 7 + 3 = 0. Suppose -z - 8 = -4*d. Factor 5*r**4 + 4*r**3 - 6*r**2 - 7*r + 9 - r - d*r**4 - 1.
2*(r - 1)**2*(r + 2)**2
Suppose -2/19*c**5 - 206/19*c + 48/19*c**3 + 40/19*c**4 - 84/19 - 116/19*c**2 = 0. What is c?
-1, 2, 21
Let m = 415 + -412. Suppose 42*c + 3*c**3 - 4*c**5 - 46*c + 5*c**m = 0. What is c?
-1, 0, 1
Let k(t) be the second derivative of t**