3 - 683 + 815 + 28*r - 42*r**3 - 21*r**2 - 40*r**3.
-(r - 3)*(r + 2)*(r + 22)
Let b(p) = -11*p**4 - 19*p**3 - 25*p**2 + 29*p + 26. Let a(s) = 60*s**4 + 92*s**3 + 126*s**2 - 147*s - 131. Let t(m) = -4*a(m) - 22*b(m). Factor t(q).
2*(q - 1)*(q + 1)**2*(q + 24)
Let a = 190151 + -190151. Factor a - 1/4*y**3 + 1/2*y - 1/4*y**2.
-y*(y - 1)*(y + 2)/4
Let i(a) be the second derivative of -a**4/66 + 17*a**3/33 + 60*a**2/11 - 6031*a. Factor i(h).
-2*(h - 20)*(h + 3)/11
Let 45/2*o**3 + 3/4*o**4 + 0 + 42*o**2 + 0*o = 0. What is o?
-28, -2, 0
Let o = -40 + 44. Suppose 12 = 4*s + o*b, 2*s - s - 4 = -2*b. Factor s - 13*x**2 + 5*x**3 + x**2 + 0*x**2 + 4*x**2 + x.
(x - 1)**2*(5*x + 2)
Let z(g) be the third derivative of g**5/630 + 2*g**4/63 - 713*g**3/63 - 605*g**2 - 2*g. Determine d so that z(d) = 0.
-31, 23
Let d(x) be the third derivative of -x**5/60 + 161*x**4/24 + 163*x**3/3 + 4543*x**2. Factor d(c).
-(c - 163)*(c + 2)
Let i(c) = c**2 + 2*c - 1. Let m be i(3). Suppose 0 = 3*d - 3*r + 96 - 120, -r - 6 = 0. Factor -64 + p**d + m + 132 + 87 + 26*p.
(p + 13)**2
Let w(p) be the second derivative of 5*p**7/112 - p**6/10 - 291*p**5/160 + 15*p**4/8 - 4*p + 241. Suppose w(r) = 0. Calculate r.
-4, 0, 3/5, 5
Let h(r) be the first derivative of 51*r**2 - 56/3*r**3 - 107 - 28*r + 3/2*r**4. Factor h(q).
2*(q - 7)*(q - 2)*(3*q - 1)
Let b = 524 + -505. Let r = b + -16. Determine q so that 0*q + 4/9*q**r + 2/9*q**4 + 2/9*q**2 + 0 = 0.
-1, 0
Suppose -5*y - s = -2, 254*y = 253*y - s - 6. Factor -2/7 + 1/7*l**3 + 0*l**y - 3/7*l.
(l - 2)*(l + 1)**2/7
Let f(y) be the third derivative of 0*y**3 + 0*y - 1/96*y**4 - 2 + 1/240*y**5 + 22*y**2. Factor f(k).
k*(k - 1)/4
Let h(q) be the second derivative of 20*q**4 + 0 - 243/2*q**2 - 110*q + 1/10*q**6 - 27/10*q**5 + 9*q**3. Solve h(w) = 0.
-1, 1, 9
Let u be 40/(-50) - 358/(-10). Solve 1523*m - 5*m**2 - 15*m**3 - 75*m**2 + 80*m**4 - 1543*m + u*m**5 = 0.
-2, -1, -2/7, 0, 1
Let f be 39/(3510/168) + (-3 - -1) - 468/(-1485). Determine g, given that f*g**2 + 16/11*g + 32/11 = 0.
-4
Let p(o) = 2*o**3 + 12*o**2 + 2*o + 2. Let x be 30/(-18) + 24/9. Let k(h) = -5*h + 0 + x - h + h**2 - h**3 + 5*h. Let v(a) = 2*k(a) - p(a). Factor v(f).
-2*f*(f + 2)*(2*f + 1)
Let k(c) be the first derivative of c**4/8 - 77*c**3/6 + 340*c**2 + 2400*c + 387. Find v such that k(v) = 0.
-3, 40
Let v(x) be the third derivative of -13*x**8/112 + 5*x**7/14 - 11*x**6/40 - x**5/20 - 179*x**2 - 2. Suppose v(j) = 0. Calculate j.
-1/13, 0, 1
Let a(y) be the first derivative of -7*y**4/4 + 7*y**3 - 8*y**2 + 12*y + 161. Let f(i) = -3*i**3 + 10*i**2 - 9*i + 6. Let w(c) = -6*a(c) + 15*f(c). Factor w(g).
-3*(g - 6)*(g - 1)**2
Let b = -101126 - -303386/3. Find u such that 10/3 + 2/3*u**4 - 4*u**2 - 8/3*u**3 + b*u = 0.
-1, 1, 5
Let m be ((-3)/2)/(-15*(-1)/520). Let z be (-8)/m*-1 - 285/(-78). Factor -3/2 - 5/2*k**2 + 1/2*k**3 + z*k.
(k - 3)*(k - 1)**2/2
Let f(k) = -k**2 - 3*k + 4. Let u be f(-3). Suppose 0 = 3*q + u*q - 28. Factor 11 - 44*w + 4*w**q - 36*w**2 - 40 - 7*w**3 + 3*w**3 + 13.
4*(w - 4)*(w + 1)**3
Let m(p) = p**3 - 2*p**2 - 11*p + 2. Let w(b) = 9*b**3 - 142*b**2 - 343*b - 112. Let c(g) = -24*m(g) + 3*w(g). Factor c(j).
3*(j - 128)*(j + 1)**2
Let l(b) be the first derivative of b**6/9 + 58*b**5/15 + 125*b**4/3 + 1172*b**3/9 + 533*b**2/3 + 338*b/3 + 1646. Factor l(z).
2*(z + 1)**3*(z + 13)**2/3
Let j = -63962 + 63977. Determine y so that -j*y - 3/4*y**2 + 0 = 0.
-20, 0
Let j(i) = i**3 + 266*i**2 - 1917*i - 1634. Let y be j(-273). Factor -11/3*z**2 - 1/3*z**y + 0 - 2*z**3 - 2*z.
-z*(z + 1)*(z + 2)*(z + 3)/3
Let g(w) = -9*w**2 - 90*w + 471. Let k(t) = 11*t**2 + 92*t - 465. Let r(y) = -7*g(y) - 6*k(y). Factor r(z).
-3*(z - 13)**2
Let f be ((-9)/(-5))/((-7)/(35/(-3))). Let l(g) be the first derivative of -20/3*g**f - 13 + 16*g**2 + g**4 - 16*g. Factor l(b).
4*(b - 2)**2*(b - 1)
Factor -2/9*v - 2/9*v**2 + 4/3.
-2*(v - 2)*(v + 3)/9
Suppose 712*m + 73 = 711*m. Let b = 147/2 + m. Let 0 + v**5 - v**3 + 0*v + 1/2*v**4 - b*v**2 = 0. Calculate v.
-1, -1/2, 0, 1
Let q(d) be the first derivative of 2*d**5/45 - 22*d**4/9 - 2*d**3/9 + 134*d**2/9 - 176*d/9 + 1438. Find g, given that q(g) = 0.
-2, 1, 44
Let k(q) be the second derivative of -64/7*q**2 - 1 - 8*q - 80/21*q**3 - 1/70*q**5 - 17/42*q**4. Determine w so that k(w) = 0.
-8, -1
Let o(g) be the second derivative of g**6/6 + 3*g**5/4 - 5*g**4/3 - 458*g. Factor o(y).
5*y**2*(y - 1)*(y + 4)
Suppose 236 = 4*y - 2*u, -4*y + 248 = -3*u + 4*u. Let o = -10 + y. Solve 12*m**3 - o*m + 8*m**2 + m**5 - 5*m**5 + 51*m = 0 for m.
-1, 0, 2
Let z(y) be the second derivative of 5*y**7/42 + 10*y**6/3 + 93*y**5/4 + 325*y**4/6 + 140*y**3/3 - y + 1347. Solve z(w) = 0.
-14, -4, -1, 0
Let b = -98980 - -98988. Solve b - 2*h**4 + 88/3*h + 28/3*h**5 - 6*h**2 - 116/3*h**3 = 0 for h.
-3/2, -1, -2/7, 1, 2
Let v(j) = 2483*j - 24*j**3 + 9*j**3 + 1941 + 14*j**3 + 84*j**2 + 12*j**3 - 459*j. Let n(h) = 2*h**3 - h**2 + 1. Let f(t) = 5*n(t) - v(t). Factor f(a).
-(a + 1)*(a + 44)**2
Let z(o) be the third derivative of -o**5/160 + 5*o**4/2 - 79*o**3/4 - 2*o**2 + 1294*o. Factor z(a).
-3*(a - 158)*(a - 2)/8
Suppose 4*c + 42 = n, 35*n + 100 = 38*n + c. Let m(w) be the second derivative of -3/2*w**3 - 1/2*w**4 + 0 + n*w + 3/20*w**5 + 0*w**2. Factor m(x).
3*x*(x - 3)*(x + 1)
Let m(x) = -x**2 - 19*x + 25. Let a be m(-9). What is l in -115*l**4 + 11*l + 200*l**3 + 5*l + a*l**2 + 35*l**4 - l = 0?
-1/4, 0, 3
Let x be ((-357)/45 + 1)/(312/(-780)). Factor x*j**3 + 0*j + 0 - 50/3*j**2 - 2/3*j**4.
-2*j**2*(j - 25)*(j - 1)/3
Let w(l) = -3*l**3 - 1. Let n be w(-1). Suppose t = 4 + n. Factor 10*h**2 + 6*h + 11*h**3 - 2*h**4 - t*h**3 - 3*h**3.
-2*h*(h - 3)*(h + 1)**2
Let y = 171 + -128. Suppose -21*u + y = -41. What is n in 40/3*n**2 + 5/2*n + 85/6*n**3 + 0 + 10/3*n**u = 0?
-3, -1, -1/4, 0
Let y = -433 - -867/2. Let g(c) be the second derivative of 0 + 1/9*c**3 - y*c**2 + 1/36*c**4 - 13*c. Find n, given that g(n) = 0.
-3, 1
Let v(q) be the first derivative of 242/39*q**3 + 0*q + 0*q**2 - 105 - 11/13*q**4 + 2/65*q**5. Let v(r) = 0. What is r?
0, 11
Factor 1372*b + 26 - 3*b**2 - 62 - 1333*b.
-3*(b - 12)*(b - 1)
Let y(k) = -3*k**2 - 199*k + 1072. Let t be y(5). Find g such that -4/5*g**5 + 12/5*g**3 + 0 - 24/5*g + 28/5*g**t - 12/5*g**4 = 0.
-3, -2, 0, 1
Factor 657*x + 88*x**2 + 169 - 112*x**2 - 412.
-3*(x - 27)*(8*x - 3)
Let i be (-36)/(-96) - (-22)/(-16). Let a be i/3 + (-15124)/(-57). Solve -90*n**3 - 545*n**2 - 1001*n + 60 + 1041*n + a*n**3 = 0.
-2/7, 2/5, 3
Let g(a) be the second derivative of a**6/195 + 103*a**5/65 + 2346*a**4/13 + 104742*a**3/13 - 328509*a**2/13 + 362*a. Suppose g(q) = 0. What is q?
-69, 1
Let k(z) be the second derivative of -z**4/4 + 677*z**3 - 1374987*z**2/2 - 2122*z. Factor k(i).
-3*(i - 677)**2
Let v be 206/4635 - ((-16)/(-9) + -2). Let j(d) be the second derivative of 8/5*d**2 + 7*d + 0 + 1/60*d**4 + v*d**3. Find p such that j(p) = 0.
-4
Let c(f) = -4*f**2 - 33*f - 6. Let k be c(-8). Factor -12*b**4 + 0*b**4 - 33*b**3 - 5*b + 3 + 4*b - 27*b**2 - k*b.
-3*(b + 1)**3*(4*b - 1)
Let p be (-42)/(-12) - (-1)/2. Suppose p = -15*c + 16*c. Factor 214 + 4*f**c - 70 + 336*f + 7*f**3 + 244*f**2 + 49*f**3.
4*(f + 1)**2*(f + 6)**2
Let l(z) be the third derivative of z**6/30 - 2*z**5 - 2*z**4/3 + 80*z**3 - 304*z**2 - 5. Find i, given that l(i) = 0.
-2, 2, 30
Let t(l) be the third derivative of l**8/756 - l**7/189 - l**6/180 + 4*l**5/135 + l**4/27 - 6862*l**2. What is b in t(b) = 0?
-1, -1/2, 0, 2
Let i(y) be the third derivative of y**6/60 + 3*y**5/5 - 61*y**4/12 + 14*y**3 + 7838*y**2. What is h in i(h) = 0?
-21, 1, 2
Let v(o) be the second derivative of -o**6/30 + 109*o**5/80 - 269*o**4/16 + 871*o**3/24 - 169*o**2/8 - 148*o + 3. Let v(w) = 0. What is w?
1/4, 1, 13
What is d in -3230/9*d**2 - 1076/3*d + 0 - 2/9*d**3 = 0?
-1614, -1, 0
Suppose -3*d = 3*l - 6, 0*d - 3 = -2*l - 3*d. Suppose 3*u = 5*v + 31, u + 19 = l*u - 3*v. Factor -15*c + 1 - 14*c + c**3 + 3*c**u + 32*c.
(c + 1)**3
Let z be ((-10)/(-6))/(-17 + (-1892)/(-66)). Determine u, given that 40/7*u - 36/7*u**2 + 0 + 6/7*u**3 + z*u**4 = 0.
-10, 0, 2
Let i(c) be the third derivative of c**6/220 + 49*c**5/165 + 79*c**4/44 - 30*c**3/11 + 331*c**2 - 1. Determine x so that i(x) = 0.
-30, -3, 1/3
Let k(p) be the first deriva