 + 21*g**3 = 0. What is g?
-53, -1, 3, 4
Let m = -1561 + 1572. Let y be m - (-4 + 2 - -10). Factor 5/4*w - 1/2*w**2 + 1/2 - 5/4*w**y.
-(w - 1)*(w + 1)*(5*w + 2)/4
Let a = -3113/1055 - -707/211. Factor 12 + 26/5*c - a*c**2.
-2*(c - 15)*(c + 2)/5
Let o = 2211961/134058 + -2/67029. Find q, given that 12 + 3/2*q**4 - o*q**3 - 75/2*q + 81/2*q**2 = 0.
1, 8
Let i(r) be the first derivative of r**6/2 + 6*r**5/5 - 37*r**4/4 - 42*r**3 - 54*r**2 - 83*r + 76. Let m(z) be the first derivative of i(z). Factor m(u).
3*(u - 3)*(u + 2)**2*(5*u + 3)
Factor 53/5*a**3 + 151/5*a + 10 + 153/5*a**2 + 1/5*a**4.
(a + 1)**3*(a + 50)/5
Let r(s) be the third derivative of s**6/24 + 23*s**5/12 - 65*s**4/3 + 90*s**3 + 2918*s**2. Factor r(d).
5*(d - 2)**2*(d + 27)
Let o be (-35848)/66 - (140/77)/10. Let p = -543 - o. Factor 1/12*y**2 + 1/3 + p*y.
(y + 2)**2/12
Let d(w) be the first derivative of -8*w**3/3 - 282*w**2 - 280*w + 568. Find a, given that d(a) = 0.
-70, -1/2
Let u(h) be the third derivative of h**6/320 - 15*h**5/32 - 153*h**4/64 - 77*h**3/16 - 28*h**2 - 1. Factor u(z).
3*(z - 77)*(z + 1)**2/8
Suppose 0 = 63*t - 336 + 84. Let n(s) be the third derivative of 1/12*s**t + 0*s**5 - 1/60*s**6 + 4*s**2 + 0*s**3 + 0 + 0*s. What is p in n(p) = 0?
-1, 0, 1
Let o(v) = 3*v**2 - 9*v. Let f be 7 - (-4 + 1*(-2 - -5)). Suppose -3*z + z = -4*l - f, 0 = 5*l. Let y(m) = m**2 - 2*m. Let n(a) = z*o(a) - 15*y(a). Factor n(t).
-3*t*(t + 2)
Suppose 116*y + 20*y - 25*y + 96 - 429 = 0. Suppose 11/3*p**2 + 7/3 + 20/3*p - 2/3*p**y = 0. What is p?
-1, -1/2, 7
Let x(y) be the first derivative of 0*y**2 + 0*y**4 + 0*y + y**5 + 0*y**3 - 5/24*y**6 + 14. Let x(q) = 0. Calculate q.
0, 4
Let i be ((-27)/18*7/(-14))/((-27)/(-84)). Let h(u) be the first derivative of -1/4*u**4 + 17/2*u**2 - i*u**3 - 14 - 9*u. Find x, given that h(x) = 0.
-9, 1
Suppose -177 = 33*t - 92*t. Let l(s) be the first derivative of -9/2*s**2 - s**t - 6*s - 17. Let l(p) = 0. Calculate p.
-2, -1
Suppose -2*z - 48 = -4*j, -34 = -4*j - z + 14. Find q, given that j - 10*q + 99*q**2 + 2*q**3 + 0*q**3 + 94*q**2 - 197*q**2 = 0.
-2, 1, 3
Let w(t) = -2*t + 66. Let d be w(29). Suppose -12*p + 14 = -2*i - d*p, -2*p = -2*i - 4. Determine y, given that 294/19*y + 2/19*y**i - 686/19 - 42/19*y**2 = 0.
7
Let z(c) be the second derivative of c**7/231 + c**6/15 + 17*c**5/55 + 23*c**4/33 + 29*c**3/33 + 7*c**2/11 - 16*c - 27. Factor z(g).
2*(g + 1)**4*(g + 7)/11
Let t(m) be the third derivative of -5/48*m**5 + 0 + 1/480*m**6 - 23/24*m**3 - 181*m**2 + 47/96*m**4 + 0*m. Solve t(c) = 0.
1, 23
Let a be 10/(-4)*4/15*-3. Factor 8*k**2 + 255*k - 3*k**a - 125*k.
5*k*(k + 26)
Let w(v) be the first derivative of 2*v**5/5 + 5*v**4/2 - 44*v**3 - 11410. Find i, given that w(i) = 0.
-11, 0, 6
Let u(p) = -p**2 + 8*p. Let x be u(7). Suppose x*w - 6*w - 2 = 0. Determine i, given that -1 - 7 + w*i**3 + 8 + 8*i**2 = 0.
-4, 0
Let v(c) be the first derivative of c**4/16 + 29*c**3/4 + 2523*c**2/8 + 24389*c/4 + 927. Factor v(g).
(g + 29)**3/4
Let r(k) be the third derivative of 4*k + 0*k**5 + 0*k**3 + k**2 + 0 + 0*k**4 + 1/42*k**7 + 19/24*k**6. Factor r(w).
5*w**3*(w + 19)
Let a(y) be the third derivative of y**7/630 + y**6/40 + y**5/9 + 864*y**2. Solve a(r) = 0.
-5, -4, 0
Suppose -5*b - 30 = -5*c, -3*c + 14 = 43*b - 45*b. Determine k so that 99*k**3 + 4358*k**4 + 3 + 111*k**c - 4331*k**4 + 45*k + 3 = 0.
-2, -1, -1/3
Let t(u) = -2*u**2 + 85*u - 80. Let z(f) = -4*f**2 + 174*f - 161. Let k(p) = 7*t(p) - 3*z(p). Let l(q) = -q - 1. Let x(o) = k(o) - 3*l(o). Factor x(j).
-2*(j - 37)*(j - 1)
Let v(n) be the second derivative of n**5/20 + n**4/12 - 11*n**3/2 + 63*n**2/2 + 198*n + 11. Factor v(b).
(b - 3)**2*(b + 7)
Suppose 41*l - 32*l - 18 = 0. Factor 225 - 163*v + 136*v**l - 141*v**2 + 5*v**3 + 58*v.
5*(v - 3)**2*(v + 5)
Let m(a) = -5*a**2 + 979*a + 1810. Let l(b) = -20*b**2 + 3915*b + 7210. Let j(w) = -6*l(w) + 25*m(w). Factor j(k).
-5*(k - 199)*(k + 2)
Let r(g) be the third derivative of -g**6/48 + 143*g**5/120 - 421*g**4/24 - 30*g**3 - 24*g**2 + 6*g. What is b in r(b) = 0?
-2/5, 9, 20
Let q be (-6)/70 - (20/(-14))/5. Let y be -2 - 98/(-35) - (-48)/15. Factor 0*k + 0 + 0*k**2 - 2/5*k**3 - q*k**y.
-k**3*(k + 2)/5
Let v = 2904391/1210165 + 1/242033. Suppose -3/5 - 12/5*r**3 + 9/5*r**4 + v*r - 6/5*r**2 = 0. Calculate r.
-1, 1/3, 1
Let s(n) be the second derivative of 1/2*n**3 + 0 - n**2 - 1/12*n**4 - 14*n. Determine o so that s(o) = 0.
1, 2
Let m be 9*(-4)/(-48)*4. Let w = 29624 - 207362/7. Let w*p**m - 2/7*p**2 - 1/7*p**5 - 1/7*p**4 - 5/7*p + 3/7 = 0. What is p?
-3, -1, 1
Let g be 9 - 0 - (9 - 10)*35/(-5). Let c(n) be the second derivative of 0*n**g + 0 - 3/40*n**6 - 7/16*n**4 + 0*n**3 + 33/40*n**5 + 9*n. Let c(l) = 0. What is l?
0, 1/3, 7
Let f = -95419/22 - -47715/11. What is o in f - 15/4*o - 11/4*o**3 + 6*o**2 = 0?
2/11, 1
Let r(n) be the third derivative of -n**7/8400 - n**6/1200 + n**4/60 - 37*n**3/3 + n**2 + 26. Let s(u) be the first derivative of r(u). Solve s(b) = 0 for b.
-2, 1
Solve k**3 - 9/2*k**2 - 9*k + 1/2*k**4 + 0 = 0.
-3, -2, 0, 3
Let s(z) be the first derivative of -z**7/210 + z**6/6 - 6*z**5/5 - 139*z**3/3 + 164. Let v(r) be the third derivative of s(r). Factor v(g).
-4*g*(g - 12)*(g - 3)
Let j be ((-1)/4)/(4/((-128)/(-8))). Let x(m) = -7*m**2 + 20*m - 31. Let n(l) = -2*l**2 - 1. Let q(k) = j*x(k) + 6*n(k). Find w such that q(w) = 0.
-5, 1
Suppose -j - 12 = -2*m, -3*j + 174*m - 30 = 169*m. Suppose 0*s**4 - 12/5*s**2 + j - 3/5*s**5 - 36/5*s + 27/5*s**3 = 0. What is s?
-3, -1, 0, 2
Let y be -5*(1098/10)/(-9). Solve 146*i**2 - 327*i**2 - 30 + y*i + 149*i**2 + i**3 = 0 for i.
1, 30
Suppose 5*h = 2*h + 3*b - 18, -5*b + 33 = -4*h. Factor 1/3*i**4 - 29/3*i**2 + 26/3*i - 1/3*i**5 + 11/3*i**h - 8/3.
-(i - 2)*(i - 1)**3*(i + 4)/3
Let a(z) = -13*z**4 + 6*z**3 + 8*z**2 - z. Let t(q) = -q**2 - 2*q - 2. Let x be t(-4). Let g(w) = w**4 - w. Let s(y) = x*g(y) - 2*a(y). Solve s(v) = 0 for v.
-1, 0, 3/4, 1
Let h be 1365/1350 + -13 - -12. Let p(d) be the second derivative of -1/270*d**6 + 0*d**4 - 16*d + 0*d**2 + h*d**5 + 0*d**3 + 0. Factor p(i).
-i**3*(i - 2)/9
Let c be ((-10)/(-18) - 1) + 837/243. Solve -621*w**2 + 0*w**c + 4*w + 629*w**2 + 4*w**3 = 0.
-1, 0
Let z(u) = 26*u**2 - 10*u + 6. Let g(p) = 4*p**2 + p + 1. Let t(h) = 6*g(h) - z(h). Factor t(y).
-2*y*(y - 8)
Let g(q) = q**2 + 10*q + 29. Let k be g(-6). Let h be (3 - -1) + (-5)/k. Determine f so that f + 0*f**2 + 0 + 1/4*f**4 - 3/4*f**h = 0.
-1, 0, 2
Let m be -3*1*(-17)/3. Suppose 5*g = -2 + m. Factor -11*s - 16*s**2 + 8*s**g - 18*s**3 - 2*s**4 + 3*s.
-2*s*(s + 1)*(s + 2)**2
Let p(y) be the first derivative of -3/10*y**5 - 2 + 0*y - 3/2*y**4 - 5/2*y**3 - 3/2*y**2. Find i such that p(i) = 0.
-2, -1, 0
Let c be 3 - 3 - (31/(-3) - -11) - -10. Factor 64/3*y**2 + c*y**3 - 8 - 68/3*y.
4*(y - 1)*(y + 3)*(7*y + 2)/3
Let a(x) be the first derivative of 4*x**3/3 + 152*x**2 + 2640*x + 3615. Factor a(j).
4*(j + 10)*(j + 66)
Let a(j) be the third derivative of j**5/120 - 9*j**4/16 - 29*j**3/6 - 4*j**2 + 55*j. Determine v so that a(v) = 0.
-2, 29
Let q(i) = 14*i - 2*i + 0*i - 2*i - 9*i + 5. Let w be q(-5). Factor -2/3*v**3 + 4/3*v**2 + 2*v + w.
-2*v*(v - 3)*(v + 1)/3
Let c(j) = j**3 - 33*j**2 - 31*j - 50. Let q be c(34). Suppose -53*r = -q*r - 3. Factor 3/4*h**4 - 1/2 - 1/4*h**2 - 5/4*h**r + 5/4*h.
(h - 1)**2*(h + 1)*(3*h - 2)/4
Let w(r) be the third derivative of -r**8/168 + 94*r**7/105 - 91*r**6/60 - 31*r**5/5 - 2260*r**2. Find k such that w(k) = 0.
-1, 0, 2, 93
Let l(n) be the second derivative of -n**5/70 - 16*n**4/21 - 256*n**3/21 - 2602*n. Factor l(r).
-2*r*(r + 16)**2/7
Solve 118/9*m**2 - 2/9*m**3 + 124/9*m - 80/3 = 0 for m.
-2, 1, 60
Suppose -68*c**2 + 0*c**3 + 36*c - 33*c**3 + 64 + 9*c**3 + 4*c**4 + 42*c - 54*c = 0. Calculate c.
-2, -1, 1, 8
Factor -28*v - 99 + 579 + 18*v + 2*v**2 + 116*v.
2*(v + 5)*(v + 48)
Let w(x) be the third derivative of x**7/735 - x**6/84 - 47*x**5/70 - 535*x**4/84 - 400*x**3/21 - 2337*x**2. Let w(t) = 0. What is t?
-5, -1, 16
Let a = -119 - -113. Let d be 0*a/(3 + 3). What is c in d - 6/7*c + 3/7*c**2 = 0?
0, 2
Let s(l) be the first derivative of -l**5/25 + 27*l**4/20 - 17*l**3/5 + 5*l**2/2 + 5334. Solve s(t) = 0.
0, 1, 25
Let d = 871 - 867. Let n(m) be the second derivative of 19*m + 7/30*m