at is c in k(c) = 0?
0, 1
Let f = 12838 + -12835. Let i(y) be the second derivative of 7/40*y**5 + 1/60*y**6 - 16*y + 2/3*y**4 + 0*y**2 + y**f + 0. Factor i(d).
d*(d + 2)**2*(d + 3)/2
Suppose -4*k - 5*h + 2 = 0, 5*k + 5*h - 3 = 2. Solve 5*z**k + 4*z**3 - 16*z**2 - 13*z**3 - 3*z - z - 12*z = 0 for z.
-2, 0
Let o(p) = p**3 + 14*p**2 - 3. Let b(w) = w**5 + 32*w**4 + 353*w**3 + 1448*w**2 + 1100*w - 6. Let f(t) = -3*b(t) + 6*o(t). Determine z, given that f(z) = 0.
-11, -10, -1, 0
Let j(y) be the first derivative of y**5 + 695*y**4/4 + 8155*y**3 + 19665*y**2/2 - 142830*y - 212. Determine t so that j(t) = 0.
-69, -3, 2
Let g(b) be the second derivative of 2*b**6/45 + 6*b**5/5 - 31*b**4/3 - 220*b**3/9 - 3541*b - 2. Factor g(c).
4*c*(c - 5)*(c + 1)*(c + 22)/3
Let l(z) be the second derivative of z**6/1440 + 7*z**5/240 - 2*z**3/3 - 9*z**2/2 - 2*z - 43. Let n(i) be the second derivative of l(i). Factor n(r).
r*(r + 14)/4
Let i(r) = r**2 + 4*r**2 + 52*r - 9*r**2 + 332. Let k(z) = -5*z**2 + 52*z + 331. Let d(l) = -7*i(l) + 6*k(l). Factor d(w).
-2*(w + 13)**2
Determine j, given that -20691/4*j**2 - 3/4*j**3 - 47568609/4*j - 36453410697/4 = 0.
-2299
Let t = 96 + -58. Suppose -t*s - 11 = -87. Factor 2*q + 12/5 - 2/5*q**3 - 4/5*q**s.
-2*(q - 2)*(q + 1)*(q + 3)/5
Find w such that 1/3*w**3 + 0 - 13*w - 38/3*w**2 = 0.
-1, 0, 39
Let o = -152 + 153. Let v be (-65)/(-26)*2/o. Factor 1/7*p**v + 1/7*p**4 - 2/7*p**3 + 0 + 0*p + 0*p**2.
p**3*(p - 1)*(p + 2)/7
Let l(m) be the second derivative of -m**5/80 + 5*m**4/32 + 3*m**3/4 + 37*m**2 - m - 2. Let t(z) be the first derivative of l(z). Let t(v) = 0. Calculate v.
-1, 6
Let h(g) = 3*g**2 - 387*g + 360. Let a(o) = -o**2 + 130*o - 120. Let r(c) = -8*a(c) - 3*h(c). Factor r(t).
-(t - 120)*(t - 1)
Let k = -344 - -148. Let y be (560/k)/(2/(-7)). Suppose y*r - 5*r + 10 + 5*r**2 - 2*r + 12*r = 0. What is r?
-2, -1
Suppose 11 = -6*q + 5. Let i(c) = -2*c**3. Let n be i(q). Factor 6/19*h - 2/19*h**n + 0.
-2*h*(h - 3)/19
Let p = -1/217 + 1739/651. Solve -2/3*u - p + 8/3*u**2 + 2/3*u**3 = 0 for u.
-4, -1, 1
Let n(k) be the third derivative of -2/3*k**5 - k**2 - 12*k**3 + 0 + 0*k - 1/30*k**6 - 9/2*k**4. Solve n(w) = 0 for w.
-6, -3, -1
Suppose -j + 8 = 2*v, 2*v = 3*j + 35 - 43. Suppose 18 - 834 + 440*t**2 + 5*t**j - 120*t**3 + 3360*t + 1177 + 3559 = 0. What is t?
-2, 14
Let i(k) be the third derivative of -k**6/300 + 1601*k**5/225 - 71111*k**4/15 - 63368*k**3/5 - k**2 + 41*k - 11. Factor i(a).
-2*(a - 534)**2*(3*a + 2)/15
Let f(j) = 11*j**2 - 436*j + 3465. Let z be f(11). Let z + 2/11*h**2 + 60/11*h = 0. What is h?
-30, 0
Let x = -210885 - -210897. Determine w, given that 12*w + 20/3*w**2 - x*w**3 + 8/3 - 28/3*w**4 = 0.
-1, -2/7, 1
Factor -71*z - 16*z**2 - 7*z**2 + 15 - 75 + 8*z**2 - 9*z + 5*z**3.
5*(z - 6)*(z + 1)*(z + 2)
Let m(q) be the third derivative of 5*q**8/336 + 2*q**7 - 57*q**6/8 + 43*q**5/6 - 579*q**2. Factor m(g).
5*g**2*(g - 1)**2*(g + 86)
Let x(w) = -w**3 - 2*w**2 + 3. Let j be x(0). Factor 12*b**2 - 4*b - 4*b**j - 4*b**2 - 6*b**2 + 6*b**2.
-4*b*(b - 1)**2
Let t(s) be the first derivative of -s**4/3 - 2*s**3 + 5*s**2/3 + 28*s + 2409. Determine b so that t(b) = 0.
-7/2, -3, 2
Let z(d) be the second derivative of d**4/8 - 5*d**3 - 207*d**2/4 - 905*d. Solve z(b) = 0 for b.
-3, 23
Let l be (-5312)/20 - (4 + 108/(-30)). Let t = 268 + l. Suppose -2/23*b**3 - 2/23*b**5 + 0*b - 4/23*b**4 + 0*b**t + 0 = 0. What is b?
-1, 0
Let u(s) be the third derivative of 1/48*s**5 - 1/192*s**4 + 0 + 0*s + 1/960*s**6 - 5/24*s**3 - 114*s**2. Factor u(h).
(h - 1)*(h + 1)*(h + 10)/8
Suppose -3*l - 5*h - 14 = 0, -5*l - h - 2*h = 2. Let -14 + 8 - j**l - 3*j - 4*j = 0. What is j?
-6, -1
Let g(s) = -10*s - 87. Let o be g(-9). What is l in 89*l**o - 85*l**3 - 7*l**2 + 27*l**2 + 16*l = 0?
-4, -1, 0
Suppose 29*y - 584 = 25*y. Suppose y = 7*q + 13. Factor -58 - 22*b - 2*b**4 + 8*b + 6*b**3 + q + 6*b**2 + 27.
-2*(b - 3)*(b - 2)*(b + 1)**2
Suppose -2*n = -4*j - 4, -j - 8 = -4*n - 3*j. Let h(q) = -4 - q + 5 - 10 - q**n. Let u(b) = b. Let a(s) = -4*h(s) - 28*u(s). Factor a(k).
4*(k - 3)**2
Suppose 0 = -8*t + 3*t + 40. Suppose -3*b = 2 - t. Suppose -27*x**4 + 25*x**4 + 0*x**3 - 2 - 2*x**3 + 0*x**5 + 4*x**b + x + x**5 = 0. Calculate x.
-1, 1, 2
Let n(y) be the third derivative of y**6/600 - 2687*y**5/300 + 75152*y**4/5 + 301056*y**3/5 + 192*y**2 - y + 2. Let n(b) = 0. Calculate b.
-1, 1344
Suppose -2*m - 10 = -2. Let o(i) = i**3 - 15*i**2 - 17*i - 9. Let j(r) = -2*r**3 + 28*r**2 + 34*r + 18. Let b(w) = m*j(w) - 7*o(w). Let b(x) = 0. What is x?
-1, 9
Let m be (1440 - 1440)*(-1)/(-8). Suppose -1/2*j**2 + m - 3/8*j**3 + 1/8*j**4 + 0*j = 0. What is j?
-1, 0, 4
Let u be ((-24)/14)/((-46125)/5740). Let r(a) be the first derivative of 1/10*a**4 + 0*a + u*a**3 + 36 + 3/25*a**2. Find y, given that r(y) = 0.
-1, -3/5, 0
Let j(t) be the third derivative of 0 + 209*t**2 - 1/30*t**5 + 0*t - 8*t**4 - 768*t**3. Solve j(r) = 0 for r.
-48
Let k(n) be the first derivative of 1/10*n**4 + 7/5*n + 7/25*n**5 + 111 - 14/15*n**3 - 1/10*n**2 - 1/30*n**6. What is w in k(w) = 0?
-1, 1, 7
What is d in -101/3*d**2 + 0 - 232/3*d**3 + 10/3*d - 121/3*d**4 = 0?
-1, 0, 10/121
Let v(b) be the second derivative of 0*b**3 + 0*b**2 + 2 - 1/32*b**4 - 3/160*b**5 - 45*b. What is z in v(z) = 0?
-1, 0
Let o be 11/((-44)/(-120)) - 65744/2348. Factor 2/9*h**o - 12*h + 162.
2*(h - 27)**2/9
Factor 1/7*l**4 + 62/7*l**2 - 40/7*l + 0 - 23/7*l**3.
l*(l - 20)*(l - 2)*(l - 1)/7
Let f(q) = -q**2 + 2. Let x(g) = -60 + 34 + 29 - 2*g**2. Suppose 0 = -v - 3*v - 12. Let t(c) = v*f(c) + 2*x(c). Factor t(b).
-b**2
Let s(q) be the first derivative of q**3/21 + 32*q**2/7 - 132*q/7 + 2340. Solve s(x) = 0.
-66, 2
Let v(i) = i**3 + 9*i**2 + 6*i - 11. Let u be v(-8). Find j such that -32*j**4 + 4*j**u + 28*j**4 + 0*j**5 = 0.
0, 1
Suppose -2*n + 68 = -2*h, -2*h + 85 = 5*n - 92. Suppose 14*x = 21 + n. Determine q so that -7/3*q**x + 0 + 0*q - 2/3*q**2 + 3*q**3 = 0.
0, 2/7, 1
Let j be 1*(7 + -1 + 0). Factor z**2 + 4 + 522*z - 521*z - j.
(z - 1)*(z + 2)
Let u(p) be the third derivative of p**7/1470 + 13*p**6/840 + p**5/35 + 1423*p**2. Determine j so that u(j) = 0.
-12, -1, 0
Let y(v) be the third derivative of v**7/2520 - v**6/108 + 5*v**5/72 - v**3 - 39*v**2 + 2. Let t(f) be the first derivative of y(f). Solve t(r) = 0.
0, 5
Let h = 25387/6 + -12686/3. Factor 7 - h*w - 1/2*w**2.
-(w - 2)*(w + 7)/2
Let v(s) be the third derivative of s**9/10080 - s**8/560 + s**7/112 + 19*s**4/24 - 62*s**2. Let a(t) be the second derivative of v(t). Let a(c) = 0. What is c?
0, 3, 5
Let j(o) be the second derivative of -o**7/70 - o**6/20 - o**5/20 + 17*o**2/2 + 68*o. Let b(a) be the first derivative of j(a). Find h, given that b(h) = 0.
-1, 0
Solve -2*w**5 + 44*w**2 - 24*w - 12*w**3 + 0*w**5 + 6*w**5 + 7411*w**4 - 7423*w**4 = 0 for w.
-2, 0, 1, 3
Suppose -297*r + 231*r = -264. Let n(f) be the second derivative of -7/54*f**r + 0 + 13*f - 4/9*f**3 + 4/9*f**2. Factor n(i).
-2*(i + 2)*(7*i - 2)/9
Suppose -42*l + 46*l - 1 = 5*p, 5*p - 7 = 2*l. Determine v, given that 0 + 2/7*v**5 + 4*v**2 - 2/7*v**p + 0*v - 4*v**4 = 0.
-1, 0, 1, 14
Let v = 3/186251 + 2048746/931255. Let -v*d**3 - 12/5*d + 0 + 68/5*d**2 = 0. Calculate d.
0, 2/11, 6
Solve 11969*b + 9787*b - 25996*b + 605 + 35*b**2 = 0.
1/7, 121
Let k(l) be the first derivative of 0*l**3 + 27/5*l**5 - 313 + 13/2*l**4 + 0*l**2 + 0*l + 1/6*l**6. Factor k(q).
q**3*(q + 1)*(q + 26)
Factor 1/3*u**3 + 55/6*u**2 + 64/3 - 142/3*u.
(u - 4)*(u + 32)*(2*u - 1)/6
Let -2396*v - 12065*v + 16 - 10607*v - 4404*v + 9036036*v**2 + 5424*v = 0. What is v?
2/1503
Suppose 2*r - q + 6 = 103, -q + 1 = 0. Suppose -37*n = -r*n + 24. Solve -2/3 - 13/6*c**n + 2*c - 1/6*c**4 + c**3 = 0 for c.
1, 2
Let g(u) be the second derivative of u**5/40 + 5*u**4/8 - 16*u**3/3 - 45*u**2 - 3688*u. Solve g(x) = 0.
-18, -2, 5
Factor -11 + 23 - 527*g - 75*g**2 - 72*g**2 - 353*g.
-(g + 6)*(147*g - 2)
Let y be 1/(2*(-7)/(-196)) - (83 - 73). Factor -45/2*d**2 - 3*d**3 + 48*d + 3/2*d**y - 24.
3*(d - 4)*(d - 1)**2*(d + 4)/2
Let g be ((-165)/(-36))/((-22)/154). Let v = g - -197/6. Factor 1/4*r**2 - v*r + 1/2.
(r - 2)*(r - 1)/4
Suppose -7183 + 35833 = 10*a. Factor -2897*d**2 + 413*d**2 - 192 - 1164*d**3 + 1200*d + a*d**3.
3*(7*d - 4)*(9*d - 4)**2
What 