 = -3*p - 3, -4*p + k*p = 3*a - 8. Determine r so that -5/3*r**3 - 5/6*r**2 + 5/6*r**a + 5/3*r + 0 = 0.
-1, 0, 1, 2
Factor -340/3*c - 2/9*c**2 - 14450.
-2*(c + 255)**2/9
Let p(y) be the first derivative of -y**5/100 - 2*y**4/15 + y**3/30 + 4*y**2/5 - 191*y + 210. Let g(b) be the first derivative of p(b). Solve g(c) = 0.
-8, -1, 1
Let s(f) be the third derivative of 0 + 0*f**3 + 10*f**2 - 1/1080*f**6 + 0*f**4 + 1/945*f**7 + 0*f**5 + 0*f. Find n such that s(n) = 0.
0, 1/2
Suppose 5*r = 3*g - 3 + 5, 4*r - 2*g - 4 = 0. Let l(w) be the first derivative of 0*w + 12 - w**r + 8/3*w**3 + 6*w**2. Factor l(d).
-4*d*(d - 3)*(d + 1)
Factor 445*j**3 - 16*j**2 + 4*j**2 - 7394*j + 6069*j - 890 - 5*j**4 + 27*j**2.
-5*(j - 89)*(j - 2)*(j + 1)**2
Let k(n) be the third derivative of n**5/36 + 215*n**4/9 + 73960*n**3/9 - 5*n**2 - 206*n. Factor k(o).
5*(o + 172)**2/3
Let -29*t**2 + 16*t**2 - 52 + 15*t**3 + 15*t - 16*t**3 + 1 + 50*t = 0. What is t?
-17, 1, 3
Let s(j) be the first derivative of j**5/50 - 7*j**4/10 + 33*j**3/5 + 121*j**2/5 - 97*j - 119. Let m(d) be the first derivative of s(d). Solve m(q) = 0.
-1, 11
Let a be 5 + 0/2 + (140 - -180). Let t = a + -649/2. Find s such that 3/4*s**4 + 0 - t*s**3 + 0*s - 1/4*s**2 = 0.
-1/3, 0, 1
Let f(t) be the second derivative of t**7/70 - t**6/120 - t**5/20 + t**4/24 - 51*t**2/2 + 2*t + 18. Let m(j) be the first derivative of f(j). Factor m(g).
g*(g - 1)*(g + 1)*(3*g - 1)
Let w = 3840885/7 - 548697. Factor -1/7*a**2 + 16/7 + w*a.
-(a - 8)*(a + 2)/7
Let m(p) = -342*p**3 - p - 1. Let i = -149 - -148. Let o be m(i). Factor 4 - 8*l + 3 + o*l**2 - 340*l**2 - 1.
2*(l - 3)*(l - 1)
Let m = 401 + -403. Let n(r) = -1762*r**2 - 670*r - 58. Let g(i) = 5285*i**2 + 2009*i + 171. Let y(z) = m*g(z) - 7*n(z). Find p such that y(p) = 0.
-4/21
Let s(w) be the first derivative of -3/2*w**2 + 3*w**3 - 42*w + 132. Factor s(p).
3*(p + 2)*(3*p - 7)
Let a(z) = z**3 + 7*z**2 + 57*z + 675. Let q be a(-9). Suppose 0*g + q - 1/2*g**4 + 3/2*g**3 - g**2 = 0. What is g?
0, 1, 2
Let p(x) = x + 13. Let g be p(-9). Let n = 519307/108190 + 1/21638. Factor 3/5*w**g + 12/5*w + n*w**2 + 0 + 3*w**3.
3*w*(w + 1)*(w + 2)**2/5
Let q(v) be the first derivative of 121 + 4*v**3 + 36*v**2 + 1/6*v**4 + 144*v. Factor q(b).
2*(b + 6)**3/3
Let k(r) = -r**2 - 46*r + 1685. Let q be k(24). Let b(s) be the first derivative of -4/3*s**2 + 7/18*s**4 + 2/3*s**3 + q - 8/9*s. Factor b(u).
2*(u - 1)*(u + 2)*(7*u + 2)/9
Suppose d = 2*d - 37. Let k = -34 + d. Find z, given that -6*z**2 + 3*z + 21*z**4 - 4*z**5 + 7*z**5 - 6*z**k - 12*z**4 - 6*z**4 + 3 = 0.
-1, 1
Let n(i) be the second derivative of 7*i**5/15 - 250*i**4/9 + 362*i**3 + 324*i**2 - 2421*i. Factor n(z).
4*(z - 27)*(z - 9)*(7*z + 2)/3
Let r = 8497260/11 + -772478. Suppose 424/11*j**3 + 15780962/11 + 1191016/11*j + r*j**4 + 33708/11*j**2 = 0. What is j?
-53
Let i(x) be the first derivative of 15*x**4/4 + 755*x**3/3 - 3875*x**2/2 - 1375*x - 9207. What is f in i(f) = 0?
-55, -1/3, 5
Let v = 2991 + -2991. Let y(h) be the third derivative of v*h**3 + 0 - 1/68*h**4 + 7*h**2 + 0*h - 1/510*h**5. Factor y(d).
-2*d*(d + 3)/17
Let g = 11696 + -11693. Let z(y) be the second derivative of 1/6*y**4 - 2*y**2 - 1/3*y**g + 0 - 3*y. Factor z(f).
2*(f - 2)*(f + 1)
Let p(c) be the second derivative of -1/10*c**5 - 11/3*c**3 - 1/45*c**6 + 187 + 14/3*c**2 + 23/18*c**4 + c. Suppose p(n) = 0. Calculate n.
-7, 1, 2
Let h = -46 + 85. Let y = h + -24. Suppose 5*t - 15 - 104*t**3 - 106*t**3 + y*t**2 + 205*t**3 = 0. Calculate t.
-1, 1, 3
Let x be 10/(-4) + (-354)/59. Let s = 91/10 + x. Factor -9/10 - 1/10*g**2 + s*g.
-(g - 3)**2/10
Let k(x) = -29*x - 137. Let d be k(-15). Let a be 10/(70/(-3)) - d/(-42). Factor 0 - 16/3*o - 4/3*o**3 + a*o**2.
-4*o*(o - 4)*(o - 1)/3
Let q(y) = 10*y - 158. Let i be q(16). Factor 7 + 36*z**i - 8*z - 3 + 7*z - 12*z - 11*z.
4*(3*z - 1)**2
Factor 0*d + 25/6*d**3 - 1/6*d**4 - 68/3*d**2 + 0.
-d**2*(d - 17)*(d - 8)/6
Let b be 36/(-96) - 67/(-8). Factor -32*y**4 + 28*y**2 + b*y + 13*y**4 - 7*y**3 + 7*y**5 + 5*y**3 - 4*y**3.
y*(y - 2)**2*(y + 1)*(7*y + 2)
Let w(c) be the first derivative of c**6/2 + 27*c**5/5 + 57*c**4/4 + 3*c**3 - 30*c**2 - 36*c + 849. Find a such that w(a) = 0.
-6, -2, -1, 1
Suppose 25*i + 26 = 38*i. Factor 34*d + 6*d**i + 3*d**4 - 15*d**4 + 10*d**4 - 10*d**3 + 20.
-2*(d - 2)*(d + 1)**2*(d + 5)
Let r(b) be the third derivative of -13*b**5/12 + 3715*b**4/24 - 95*b**3 - b**2 + 3*b + 57. Factor r(v).
-5*(v - 57)*(13*v - 2)
Let p(j) be the first derivative of j**7/280 - j**6/40 - 6*j**3 + 4*j - 40. Let y(r) be the third derivative of p(r). Suppose y(f) = 0. Calculate f.
0, 3
Let u be 78/(-892)*7/(49/(-119)). Let m = u + 3/223. Factor 0*q - 3/2*q**5 - 3/2*q**4 + 0 + 3/2*q**2 + m*q**3.
-3*q**2*(q - 1)*(q + 1)**2/2
Let b(i) = -10*i**2 + 30*i**2 - 120*i - 195*i. Suppose w + 4 = 0, 62*z + 3*w + 4 = 64*z. Let k(t) = -5*t**2 + 79*t. Let o(x) = z*b(x) - 15*k(x). Factor o(c).
-5*c*(c - 15)
Suppose 0 = -304*v + 293*v + 22. Suppose -12*i - 10 = -5*r - 7*i, 0 = v*r - 4*i. Find k such that 5/3*k**2 - 5/6 + 5/6*k - 5/3*k**3 + 5/6*k**5 - 5/6*k**r = 0.
-1, 1
Let z be (-28242)/(-3661)*(1 - (-1874)/30). Factor -578/5*p**4 + z*p**3 - 2864/5*p**2 - 32/5 + 576/5*p.
-2*(p - 2)**2*(17*p - 2)**2/5
Let u(x) be the first derivative of x**5 - 1525*x**4/4 - 510*x**3 - 2478. Factor u(i).
5*i**2*(i - 306)*(i + 1)
Suppose 5*j**2 - 227*j - 824*j - 660*j - 551*j - 1268*j + 623045 = 0. What is j?
353
Let k be ((-8)/(-9))/((-40)/(-180)). Let o be -1*(-8)/224*k. Factor o*b**4 + 1/7*b**5 + 0*b - 1/7*b**3 - 1/7*b**2 + 0.
b**2*(b - 1)*(b + 1)**2/7
Suppose 356 = -130*f + 122*f + 186*f. Find o such that 4/7*o**f + 0 - 36/7*o = 0.
0, 9
Factor 888/11 - 103/11*x - 1/11*x**2.
-(x - 8)*(x + 111)/11
Let p(k) = -2*k**4 - 2*k**3 - k**2 + 8*k. Suppose 12 = 5*a - 3. Let m(v) = 3*v**4 + 5*v**3 + 2*v**2 - 15*v. Let j(g) = a*m(g) + 5*p(g). Factor j(d).
-d*(d - 5)*(d - 1)*(d + 1)
Let u be (27/(-6))/((350/(-490))/(2/21)). What is r in u*r**3 + 0 + 9/5*r**2 + 6/5*r = 0?
-2, -1, 0
Let g = -481 - -416. Let j = -60 - g. Solve 0 - 22*t**4 + 10*t**j - 12/5*t**3 + 16/5*t + 56/5*t**2 = 0.
-2/5, 0, 1, 2
Let r be ((-33)/(693/(-84)))/20. Find s, given that -1/5*s**4 + 0*s**2 + r*s**3 + 0 + 0*s = 0.
0, 1
Let k(c) = -36*c**3 - 292*c**2 + 2414*c + 49920. Let i(o) = -11*o**3 - 97*o**2 + 804*o + 16640. Let p(n) = -7*i(n) + 2*k(n). Determine l so that p(l) = 0.
-16, 13
Find m, given that 609*m + 70*m**2 + 2*m**3 - 80 + 165*m - 306 + 0*m**3 - 460*m**2 = 0.
1, 193
Let y = -3121 - -3130. Let s(b) be the first derivative of -25/16*b**4 + b**5 + y + 0*b**2 + 0*b + 5/12*b**3. Suppose s(j) = 0. What is j?
0, 1/4, 1
Let b(r) = r**5 + 3*r. Let c(n) = n**5 + 6*n**4 + 7*n**3 - 92*n**2 + 150*n - 64. Let p(d) = -10*b(d) + 5*c(d). What is u in p(u) = 0?
-4, 1, 4
Let r(j) = 28*j**2 + 3158*j + 889. Let l(f) = -7*f**2 - 632*f - 178. Let m(y) = -11*l(y) - 2*r(y). Factor m(x).
3*(x + 30)*(7*x + 2)
Factor -22/5*m**2 - 212/5 + 234*m.
-2*(m - 53)*(11*m - 2)/5
Let v(r) be the first derivative of -r**5/150 - r**4/30 + r**3/5 + 5*r**2/2 + 3*r - 88. Let w(o) be the second derivative of v(o). Solve w(t) = 0 for t.
-3, 1
Determine a, given that 17570592/5 + 2/5*a**2 + 11856/5*a = 0.
-2964
Let 10/3*w**4 + 4*w**2 + 34/3*w**3 - 16/3 - 40/3*w = 0. Calculate w.
-2, -2/5, 1
Let z(b) be the first derivative of -b**3/3 + 21*b**2/2 + 352*b + 5144. Factor z(o).
-(o - 32)*(o + 11)
Let t = 2 + -3. Let a(g) = -200*g**2 + 56*g - 4. Let o(q) = q**2. Let h = -4674 - -4670. Let r(i) = h*o(i) + t*a(i). Suppose r(w) = 0. Calculate w.
1/7
Let y(k) = -5*k + 29*k - 3*k + 43 + 10*k. Let v be y(9). Solve -v*l**3 - 4 + 4 - 4*l**2 + 326*l**3 = 0.
0, 1
Let i(b) be the third derivative of -1/630*b**7 + 0 + 1/2*b**4 + 0*b**3 + 5*b + 13/360*b**6 + 36*b**2 - 4/15*b**5. Factor i(a).
-a*(a - 6)**2*(a - 1)/3
Suppose 0 = y - 5*b - 36, 3*b + 16 = y + 8*b. Let c be (-2 - (-18)/5) + y/65. Factor 1/5*u**c + 2/5*u + 0.
u*(u + 2)/5
Let z be 3480/(-65) + 702 + -648. Factor -4/13 - 10/13*y - z*y**2.
-2*(y + 1)*(3*y + 2)/13
Let h(j) be the first derivative of -j**4/12 - 2*j**3/3 - 5*j**2/6 + 4*j + 5179. Factor h(o).
-(o - 1)*(o + 3)*(o + 4)/3
Factor 0*j - 3/5*j**5 + 39/5*j**4 - 36/5*j**3 + 0*j**2 + 0.
-3*j**3*(j - 12)*(j - 1)/5
Let -3130785*g**2 + 0*g