(a + 2)**2*(a + 20)/4
Let -930/7*p**2 - 2/7*p**4 + 926/7*p - 44 + 314/7*p**3 = 0. Calculate p.
1, 154
Let l be 4/(2*(7/2)/(-7)). Let o be (32/12)/l*-3. Find x, given that 22 - 22 + 2*x**2 - 2*x**3 + 2*x - o*x**4 = 0.
-1, 0, 1
Let o(s) be the first derivative of 7*s**5/5 - 8*s**3/3 - 3*s**2 + s - 3. Let n(m) = 18*m**2 + m - 19*m**2 - 2*m + m**4. Let i(p) = 6*n(p) - o(p). Factor i(q).
-(q - 1)**2*(q + 1)**2
Determine w so that -1/9*w**3 - 360*w + 13*w**2 - 1200 = 0.
-3, 60
Let a = -71 - -37. Let w = a + 43. Factor 10*z**4 - 2*z**2 - z**2 - 2*z - w*z**4.
z*(z - 2)*(z + 1)**2
Let o = -2032 + 2848. Let x be (-224)/(-170) + (-96)/o. What is z in x*z - 2/5*z**2 + 0 = 0?
0, 3
Let d(x) be the first derivative of -x**5/20 + 19*x**4/4 - 557*x**3/12 + 445*x**2/4 - 102*x + 474. What is i in d(i) = 0?
1, 6, 68
Let o = 374 - 41. Find s, given that -o*s**2 + 329*s**2 - 43*s - 21*s = 0.
-16, 0
Let a(k) be the third derivative of -1/36*k**5 + 0*k + 2/9*k**4 + 4*k**2 - 11/18*k**3 - 9. Factor a(m).
-(m - 1)*(5*m - 11)/3
Let j(x) be the first derivative of -34 - 19/3*x**3 - 16/5*x**5 - 7/2*x**2 - x - 25/4*x**4 - 2/3*x**6. Factor j(z).
-(z + 1)**3*(2*z + 1)**2
Factor 82/5*o**3 + 0*o + 0 + 83/5*o**2 - 1/5*o**4.
-o**2*(o - 83)*(o + 1)/5
Factor 7183*b + 44 - 16*b**2 + 7289*b - 14300*b.
-4*(b - 11)*(4*b + 1)
Let x(d) be the first derivative of d**6/2 + 9*d**5 - 12*d**4 - 1007. Factor x(r).
3*r**3*(r - 1)*(r + 16)
Let b(t) be the second derivative of -161/180*t**5 - 281/108*t**4 + 25/42*t**7 - 2*t - 2/9*t**2 - 32/27*t**3 + 19/18*t**6 + 7. Determine r so that b(r) = 0.
-1, -2/15, 1
Suppose -507*n = -512*n. Determine t so that 14*t + n*t**4 + 2*t**4 - 5*t**2 - 4*t**3 - 3*t**4 - 16*t = 0.
-2, -1, 0
Let p(t) = -t**2 + 2*t - 1. Let w(f) = 11 + 7*f**2 + 221*f - 108*f - 130*f. Let v(k) = -22*p(k) - 2*w(k). Factor v(i).
2*i*(4*i - 5)
Let h(o) be the second derivative of -o**7/70 + 21*o**6/50 + 33*o**5/50 + o + 1442. Let h(f) = 0. What is f?
-1, 0, 22
Suppose -2*k - 7 = z, 11*k - 14*k + 7 = -2*z. Let n be ((-47)/44 + 14/(-77))/z. Factor 0 - 1/2*f + 1/4*f**2 + n*f**3.
f*(f - 1)*(f + 2)/4
Factor 0 + 25/4*u**3 - 35/4*u**2 + 5/2*u.
5*u*(u - 1)*(5*u - 2)/4
Suppose -5*r = 7*d - 3*d + 113, -d = 5*r + 107. Let l be (-6)/r + 1/(-28). Factor -1/2*j - 1/4 + l*j**4 + 0*j**2 + 1/2*j**3.
(j - 1)*(j + 1)**3/4
Suppose 2*s + 4*w = 40, 0 = 5*s - w + 22 - 122. Find q such that 0*q**4 + 5*q**2 - 33*q**2 - 4*q**4 - s*q**2 - 32*q - 24*q**3 = 0.
-2, 0
Factor 297/4 + 299/4*g**2 - 1/4*g**3 - 595/4*g.
-(g - 297)*(g - 1)**2/4
Suppose -2*h + 10 = 4. Suppose -16 = -2*c - 3*d + 6*d, -5*c - 2 = h*d. Solve -3*j**4 + 11*j**2 - 3*j**3 + 9*j + j**c + 3*j = 0 for j.
-2, -1, 0, 2
Let w be 1*(1276 - -3)/(-1). Let t = 2697 + w. Factor -5*p**3 + 1418 - 4*p**4 + 2*p - t + 7*p**2.
-p*(p - 1)*(p + 2)*(4*p + 1)
Let z be (-3)/(18/(-48)*4). Factor -2*h**3 - 10*h + 8*h + 2*h**3 + 0*h**3 + z*h**3.
2*h*(h - 1)*(h + 1)
Let o(v) = v**2 + 4*v + 1. Let k(f) = 26*f**2 - 110*f - 494. Let d(j) = -2*k(j) + 20*o(j). Factor d(i).
-4*(i - 12)*(8*i + 21)
Let v be -3 - (40/700)/((-2)/120). Let x(i) be the second derivative of 0 + v*i**2 - 5/42*i**4 + 25*i + 2/21*i**3. Suppose x(h) = 0. Calculate h.
-3/5, 1
Factor 2880*v**2 + 259 - 326*v**3 - 1079*v**3 - 38*v**3 - 1431*v - 265.
-3*(v - 1)**2*(481*v + 2)
Suppose m + 5*j + 9 = 0, 47*j - 30 = 52*j. Let f(g) be the third derivative of -1/240*g**6 + 0*g**3 + 0 - m*g**2 - 1/20*g**5 - 1/6*g**4 + 0*g. Factor f(z).
-z*(z + 2)*(z + 4)/2
Let g = 22457 + -22455. Factor 2/7*j**3 - 2/7*j + 0*j**g + 0.
2*j*(j - 1)*(j + 1)/7
Let i be 1/6*((4 - -20) + -9). Suppose 0 = -3*u + 6 - 0. Find k, given that 4*k**2 - u*k - i*k**4 + 0 + 7/2*k**3 = 0.
-1, 0, 2/5, 2
What is t in -84*t - 75*t - 54*t + 267*t + 120 - 3*t**3 - 9*t**2 = 0?
-5, -2, 4
Let c(p) = p**2 + 784*p + 75269. Let x be c(-112). Find j such that 7*j**4 - 20/3*j**x + 100/3*j**3 - 8/3*j + 18*j**2 - 1 = 0.
-1, -1/5, 1/4, 3
Suppose -8*c - p + 30 = -3*c, 2*c + 10 = 4*p. Suppose -3*q - q + 2*z + 46 = 0, 0 = q + 5*z + c. Factor 574*b**3 + q*b**2 + 5*b - 282*b**3 - 287*b**3.
5*b*(b + 1)**2
Suppose -30 = 4*r - 74. Let -3*w**3 - w**2 - w**3 + 128 + 64*w - 3*w**2 + 7*w**2 - r*w**2 = 0. Calculate w.
-4, -2, 4
Factor 280*j + 2/9*j**2 + 2518/9.
2*(j + 1)*(j + 1259)/9
Let w(j) be the third derivative of 55/24*j**4 + j**2 + 1/12*j**5 + 0*j + 0*j**3 + 6. Factor w(i).
5*i*(i + 11)
Let u(z) be the second derivative of 1/6*z**4 - 1/60*z**5 + 0 + 8/9*z**3 + 0*z**2 - 289*z. What is t in u(t) = 0?
-2, 0, 8
Let t(s) be the third derivative of -9/32*s**4 + 0*s + 0 + 0*s**3 + 57*s**2 - 1/240*s**5. Factor t(f).
-f*(f + 27)/4
Factor -2/7*y**3 + 510/7*y - 36*y**2 - 256/7.
-2*(y - 1)**2*(y + 128)/7
Let z(j) be the first derivative of -j**3/2 + 765*j**2/4 - 381*j - 7057. Factor z(g).
-3*(g - 254)*(g - 1)/2
Let x be (-15)/(-35) - (-1 + 12/(-126)*-15). Let q(g) be the third derivative of 1/140*g**5 + 0*g + x - 3/14*g**4 - 28*g**2 + 18/7*g**3. Factor q(v).
3*(v - 6)**2/7
Let j(i) be the first derivative of -i**6/540 - 11*i**5/180 - 5*i**4/18 + 7*i**3/3 + i**2 - 15. Let p(u) be the third derivative of j(u). Factor p(w).
-2*(w + 1)*(w + 10)/3
Let q(l) be the third derivative of -23/56*l**4 + 0*l - 78*l**2 - 1/280*l**6 + 13/140*l**5 + 11/14*l**3 + 0. Factor q(y).
-3*(y - 11)*(y - 1)**2/7
Let f(r) = 2*r**2 - r + 3. Let p be (135/18)/((-6)/(-8)). Let q(l) = 14 + 41*l + p*l**2 + 38*l - 85*l. Let v(x) = 14*f(x) - 3*q(x). Find c such that v(c) = 0.
0, 2
Let p(k) = -k**4 + k**3 + k**2 + 1. Let v(q) = 132*q**4 + 315*q**3 + 174*q**2 + 6*q + 15. Let i(o) = -15*p(o) + v(o). Factor i(f).
3*f*(f + 1)**2*(49*f + 2)
Let n(y) = 3*y + 46. Let r be n(9). Let h = r + -56. Factor 19*p - 8*p - p**2 - h*p - 9.
-(p + 3)**2
Determine g, given that -14798/3*g + 592/9*g**2 - 2/9*g**3 + 9604 = 0.
2, 147
Let w(f) be the third derivative of -f**5/360 + 671*f**4/72 - 670*f**3/9 - 627*f**2. Let w(z) = 0. Calculate z.
2, 1340
Let c be ((-20)/27)/(102 + (-112301)/1098). Factor 13/3*b + 1/3*b**3 - c*b**2 - 2.
(b - 6)*(b - 1)**2/3
Let t(g) be the third derivative of -134*g**2 + 39/2*g**3 - 1/20*g**5 + 0*g + 0 + 19/4*g**4. Find z, given that t(z) = 0.
-1, 39
Let g be (26/(-39))/((-4)/(-6)). Let a be ((1/(-3))/g)/(3/36). Factor -313*j + 4*j**2 + 313*j - a.
4*(j - 1)*(j + 1)
Let s(b) be the third derivative of 4/105*b**7 + 0*b**3 - 8*b**2 - 2/15*b**6 + 0*b**5 - 1/336*b**8 - 3 + 0*b + 0*b**4. Factor s(g).
-g**3*(g - 4)**2
Let l be (-510)/561*(-176)/80. Determine k, given that -9/4*k**4 + 3 + 33/4*k**l - 3/4*k**3 + 3/4*k**5 - 9*k = 0.
-2, 1, 2
Factor -27848/19 + 472/19*m - 2/19*m**2.
-2*(m - 118)**2/19
Let -1/3*w**5 - 7/3*w**3 + 2352 + 728/3*w + 5*w**4 - 197*w**2 = 0. Calculate w.
-4, 7, 9
Suppose -2 = k - 3*r - 15, 2*k + 3*r - 26 = 0. Suppose k*x - 17 = 22. Find m such that -30*m**2 + 29 + 5*m**x - 29 + 62*m - 17*m = 0.
0, 3
Let g(u) = -20*u**2 + 185*u + 100. Suppose z - 2*y + 7*y = 0, -2*z - 5*y = 5. Let i(p) = 21*p**2 - 180*p - 101. Let d(b) = z*i(b) - 4*g(b). Factor d(m).
-5*(m - 7)*(5*m + 3)
Let p be 20/50 - 5124/(-15). Suppose p = -0*j + 3*j. Let -63 + 12*y**2 + 5*y**3 - 2*y**3 + 3*y - 69 + j = 0. What is y?
-3, -2, 1
Suppose 0 = 2*k + 6*k - 32. Suppose -18*v + 6*v**3 - 3 + 9*v**5 + 27*v**k + 17*v**5 - 14*v**5 - 24*v**2 + 0 = 0. What is v?
-1, -1/4, 1
Let n be (6/(-4))/((-21)/175). Let m = 92075/2 + -46035. Let -25/2 - 5/2*i**3 + n*i**2 + m*i = 0. What is i?
-1, 1, 5
Let l = -1197296/5 + 239460. Find d, given that l*d**2 - 248/5*d + 3844/5 = 0.
31
Let m(y) be the second derivative of -7/90*y**4 - 54*y - 1/150*y**5 - 11/45*y**3 - 1/3*y**2 + 0. Determine t, given that m(t) = 0.
-5, -1
Let g(d) = -d + 30. Let m be g(14). Suppose m = 3*t + t. Suppose -t*k + k**2 - 4*k + 10*k = 0. Calculate k.
-2, 0
Factor 14574*q + 11296*q - 21800539 + 75866*q**2 - 75871*q**2 - 11662306.
-5*(q - 2587)**2
Let l(c) be the second derivative of 4*c**7/7 - 226*c**6/15 + 78*c**5/5 + 212*c**4/3 + 48*c**3 + 662*c. Let l(f) = 0. What is f?
-2/3, -1/2, 0, 2, 18
Let t = 10380/119 + -30902/357. Factor 4/3*q**2 + t - 5/3*q - 1/3*q**3.
-(q - 2)*(q - 1)**2/3
Suppose -5539 + 1688 = -225*j + 1999. Let x(f) be the first derivative of 0*f**3 - 1/2*f**4 + f**2 + j - f + 1/5*f**5. Determine r so that x(r) = 0.
-1, 1
Let y(w) be the second derivative of 19*w