7*n = 0.
1, 3
Factor -12/13*c**2 - 98/13*c - 132/13 + 2/13*c**3.
2*(c - 11)*(c + 2)*(c + 3)/13
Let h(a) = a**2 + 25*a + 157. Let q be h(-14). Factor 26*d**4 - 6*d**4 + 3*d**5 - 24*d**2 - 18*d**3 - 11*d**4 + 0*d**q.
3*d**2*(d - 2)*(d + 1)*(d + 4)
Factor 3*l**2 - l**2 - 98*l - 235 + 986 + 492 - 55.
2*(l - 27)*(l - 22)
Let q(f) be the first derivative of -4*f**3/3 + 4*f**2 + 12*f - 813. Suppose q(o) = 0. Calculate o.
-1, 3
What is t in 190/3*t + 128/3 - 1/3*t**3 + 61/3*t**2 = 0?
-2, -1, 64
Let a be 14144/784 - 17 - 1 - (-15656)/588. Factor 2/3*d**2 + 26 - a*d.
2*(d - 39)*(d - 1)/3
Suppose 9*p + 78 = 2*m + 5*p, 3*p + 40 = m. Let u(d) be the second derivative of -m*d + 0 - 1/5*d**5 + 2/3*d**3 + 4*d**2 - 2/3*d**4. Factor u(w).
-4*(w - 1)*(w + 1)*(w + 2)
Let z(b) be the third derivative of -b**6/420 + 61*b**5/42 - 7701*b**4/28 - 7803*b**3/7 + 3371*b**2. Factor z(j).
-2*(j - 153)**2*(j + 1)/7
Let f(p) = -p**2 - 107*p + 680. Let o be f(6). Let a(m) be the first derivative of 8/5*m**3 - 3/25*m**5 - 18/5*m**o + 3/20*m**4 - 18 + 0*m. Factor a(s).
-3*s*(s - 2)**2*(s + 3)/5
Let u(y) be the third derivative of -y**5/30 - 27*y**4/4 - 80*y**3/3 + 550*y**2 + y - 1. Factor u(o).
-2*(o + 1)*(o + 80)
Suppose -1/8*y**5 + 2159/8*y + 289/2 - 4*y**4 + 205/2*y**2 - 107/4*y**3 = 0. Calculate y.
-17, -1, 4
Determine k so that 226 - 212*k - 96 + 20*k**3 + 4*k**4 + 110 - 52*k**2 = 0.
-5, -4, 1, 3
Let p(m) = -3*m - 3. Let l(k) = 3*k**2 + 69*k + 309. Let n(y) = -l(y) - 3*p(y). Factor n(j).
-3*(j + 10)**2
Factor -1/3*v**3 + 195*v + 32/3*v**2 + 0.
-v*(v - 45)*(v + 13)/3
Let v be (-1 - 1*265) + 360/3600. Let x = 266 + v. Find j such that x*j**2 - 1/2 + 2/5*j = 0.
-5, 1
Suppose 0 = 3*f - 4*t - 113, t - 4*t = -5*f + 181. Solve -15*m**4 + 3*m**2 - 4*m + 2*m**3 - 3 + f*m**4 - 21*m**4 - 1 = 0.
-1, 2
Suppose 1600/3 + 620/3*t**2 - 640*t - 15*t**4 + 5/3*t**5 + 40/3*t**3 = 0. Calculate t.
-4, 2, 4, 5
Determine l so that -15*l**4 + 160661*l**2 + l**5 - 101*l**3 - 54 - 160658*l**2 - 186 + 352*l = 0.
-4, -3, 1, 20
Let v(f) be the second derivative of f**5/120 + 173*f**4/72 - f**3/9 - 173*f**2/3 - f - 3280. Determine n, given that v(n) = 0.
-173, -2, 2
Let p(o) be the second derivative of 0*o**2 + 0 + 4*o - 11/126*o**4 - 2/21*o**3 - 2/105*o**5 + 1/315*o**6. Let p(b) = 0. Calculate b.
-1, 0, 6
Let m(v) be the second derivative of v**6/280 + 3*v**5/70 + v**4/7 - v**2 - 15*v + 2. Let z(k) be the first derivative of m(k). Factor z(f).
3*f*(f + 2)*(f + 4)/7
Let y be 5 + -10 + 21 + 2. Solve -7*g**3 - 8*g**3 - 4 - 19*g**2 + y*g + 2*g = 0.
-2, 1/3, 2/5
Let r(d) be the first derivative of 3/4*d**4 - 39/2*d**2 + 23 - 2*d**3 - 30*d. Factor r(t).
3*(t - 5)*(t + 1)*(t + 2)
Let n = -9 - -10. Suppose 5*j - 119 = n. Suppose 28*a**4 - j*a**2 + 44*a**5 - 20*a + 9*a**3 - a**3 - 4 - 32*a**5 = 0. What is a?
-1, -1/3, 1
Suppose 410*g + 238 = 140 + 918. Factor -20/13*c**3 - 10/13*c + 2/13 + 20/13*c**g + 10/13*c**4 - 2/13*c**5.
-2*(c - 1)**5/13
Let i = 534 - 539. Let o be (20/70)/(((-15)/7)/i). Determine v so that -13/9*v - 5/9*v**2 + o = 0.
-3, 2/5
Let m(r) = -6*r + 160. Let t(g) = -g + 32. Let q(z) = -2*m(z) + 11*t(z). Let k be q(-13). Find a such that 27 + 11*a**2 + k*a**2 - 11 + 80*a + 6*a**2 = 0.
-2, -2/9
Suppose -17*o + 27*o - 30 = 0. Determine q so that -468*q**2 - 432*q**2 - 2 + 424*q + 1 - 47 - 162*q**o = 0.
-6, 2/9
Solve 4/3*i**5 + 31/3*i**2 - 76/3*i - 31/3*i**4 - 20/3 + 52/3*i**3 = 0.
-1, -1/4, 2, 5
Factor 14/9*o + 16/9 - 2/9*o**2.
-2*(o - 8)*(o + 1)/9
Let c(l) be the third derivative of l**8/32 - 187*l**7/140 + 193*l**6/20 - 128*l**5/5 + 16*l**4 + 44*l**3 + 1336*l**2 - 2. Solve c(i) = 0.
-2/7, 1, 2, 22
Suppose 8 = o - 34*h + 38*h, 19 = 5*o - h. Let i be (o/6 - -1)/(125/150). Factor 2*d**i + 2/3*d**3 + 0 + 4/3*d.
2*d*(d + 1)*(d + 2)/3
Let g be 31 - (0 - (2 + 2)). Suppose -g*s + 4 = -34*s. Solve 2*m**2 - s*m + 3 + 1 - 2*m + 0*m = 0 for m.
1, 2
Suppose 0 = 5*k + 2*g - 35, 205*g + 35 = -5*k + 210*g. Factor 108/5*c**2 + 2/5 - 216/5*c**k + 162/5*c**4 - 24/5*c.
2*(3*c - 1)**4/5
Determine s so that 0 - 18*s**3 + 2/17*s**2 + 18*s - 2/17*s**4 = 0.
-153, -1, 0, 1
Let -5*j**4 + 6017*j**2 - 4273*j**2 + 420*j**3 + j**4 = 0. Calculate j.
-4, 0, 109
Let m(c) = -6*c**2. Let s(p) = 14*p**2 - 144*p - 146. Let w(d) = -2*m(d) - s(d). Find g such that w(g) = 0.
-1, 73
Suppose 120 = 10*b + 14*b. Suppose 105*k**3 + 5*k**b + 707 + 30*k + 45*k**4 - 707 + 95*k**2 = 0. Calculate k.
-6, -1, 0
Let g(k) = k**2 - 15*k + 20. Let b(s) = -3*s**2 + 44*s - 59. Suppose 0 = -5*d - 20, -d + 10 = m - 3. Let j(q) = m*g(q) + 6*b(q). Find p, given that j(p) = 0.
2, 7
Let v = 631822 - 3159109/5. Factor 124/5*r + 3844/5 + v*r**2.
(r + 62)**2/5
Let t(q) be the first derivative of -q**5/100 + q**4/15 + 7*q**3/30 - q**2 - 62*q + 28. Let n(v) be the first derivative of t(v). Determine u so that n(u) = 0.
-2, 1, 5
Let n(w) = -3*w**2 + 183*w + 568. Let k(s) = 32*s**2 - 2017*s - 6247. Let c(v) = -2*k(v) - 23*n(v). Let c(y) = 0. Calculate y.
-3, 38
Suppose 793 = -20*o - 647. Let r be (-66)/o - 1 - (-3)/36. Factor r + 1/7*w - 1/7*w**2.
-w*(w - 1)/7
Let c(a) = -80*a**2 - 44*a + 64. Let y = -11 - -8. Let i(v) = -9*v**2 + v - 3 + 4 - 6*v + 6. Let z(n) = y*c(n) + 28*i(n). Determine r, given that z(r) = 0.
-1, 1/3
Let v(d) = 2*d**3 - 41*d**2 + 468*d - 11746. Let z be v(22). Let -z*i - 1/4*i**4 + 0*i**3 + 3/2*i**2 + 3/4 = 0. What is i?
-3, 1
Factor -2*p**2 - 10*p**2 + 3*p + 1344*p**4 - 1350*p**4 + 15*p**3.
-3*p*(p - 1)**2*(2*p - 1)
Let q(h) be the first derivative of -27/4*h**4 - 69 + 0*h + 7*h**3 - 1/2*h**6 - 3*h**2 + 3*h**5. Factor q(r).
-3*r*(r - 2)*(r - 1)**3
Let d(t) = 1994*t - 197. Let j be d(5). Determine c, given that -j*c**3 + 9773*c**3 - 24*c + 2*c**4 - 26*c**2 = 0.
-3, -1, 0, 4
Factor 96*h**2 - 12*h**3 + 66 + 20*h**4 + 23*h - 22*h**4 - 171*h.
-2*(h - 3)*(h - 1)**2*(h + 11)
Let q(o) = 0*o**2 + 14*o + 3*o**2 - o**3 + 1 + 5 - 15*o. Let n be q(3). Let b**3 + 2*b**4 - 2*b**2 - b**2 + 5*b**n + 9*b**2 + 2*b = 0. What is b?
-1, 0
Let -3/2*z**4 + 21/4 + 1/8*z**5 + 5*z**3 - 41/8*z - 15/4*z**2 = 0. Calculate z.
-1, 1, 2, 3, 7
What is n in -1440/13*n**2 - 14/13*n**5 + 672/13 + 1984/13*n + 318/13*n**4 - 440/13*n**3 = 0?
-2, -2/7, 2, 21
Let h be (-3)/(-1) - (-9)/(-6). Let q(o) = -o - 30. Let y be q(-35). Factor 3*c**3 + 3*c**2 - 3/2 - 3/2*c - 3/2*c**4 - h*c**y.
-3*(c - 1)**2*(c + 1)**3/2
Let d(g) be the second derivative of -81*g - 2/3*g**3 + 1/5*g**5 - 2/15*g**6 + 0 + 0*g**2 + 1/3*g**4. Let d(l) = 0. Calculate l.
-1, 0, 1
Factor 447458 - 1166*l - 6*l**2 - 726*l - 11*l**2 + 19*l**2.
2*(l - 473)**2
Let u(g) be the second derivative of 0 + 49/2*g**2 - 52*g + 1/30*g**6 - 14*g**3 + 3/5*g**5 + 11/6*g**4. Factor u(w).
(w - 1)**2*(w + 7)**2
Let h be 16*(3143/224 - 14). Let r be -1 - (0 - (-15)/(-6)). Solve h*k**5 + 1/2*k**3 - k - r*k**2 + 0 + 3/2*k**4 = 0 for k.
-2, -1, 0, 1
Factor 10105*i**2 - 141844*i**3 + 5*i**4 + 22090*i - 142001*i**3 + 283385*i**3.
5*i*(i - 47)**2*(i + 2)
Let d(m) be the first derivative of -m**7/420 + m**6/18 - 5*m**5/12 - 11*m**3/3 - m**2 - 215. Let j(f) be the third derivative of d(f). Factor j(c).
-2*c*(c - 5)**2
Let b(h) be the first derivative of 2/3*h**3 + 43 + 25*h**2 + 48*h. Factor b(a).
2*(a + 1)*(a + 24)
Solve -1027/5 - 1/5*g**2 - 92/5*g = 0 for g.
-79, -13
Suppose -95*t = 8308 - 8593. Factor 27/5*j - 1/5*j**t + 0*j**2 - 54/5.
-(j - 3)**2*(j + 6)/5
Let b be (-105)/(-30)*(-1 + 3). Factor -b*k - 8*k - 12*k + 41*k - 12 - 7*k - k**2.
-(k - 4)*(k - 3)
Let x(o) be the third derivative of o**5/540 - 41*o**4/18 + 3362*o**3/3 + 770*o**2. Suppose x(y) = 0. What is y?
246
Let j(f) = -f**3 + 9*f**2 - 19*f + 8. Let s be j(6). Factor -19 + 129 + 5*z**s - 36484*z + 36419*z.
5*(z - 11)*(z - 2)
Suppose -3*j - j + 19 = 5*n, -6 = -3*n + 3*j. Let b be ((-15)/25)/(1*(-336)/2560). What is g in 4 + b*g**2 - 58/7*g - 2/7*g**n = 0?
1, 14
Let x be (-6)/8 + 935/68. Suppose -16*b + 9 = -x*b. Factor -v**5 + 3*v**b + 4*v**5 - 4*v**4 + 0*v**3 - 2*v**4.
3*v**3*(v - 1)**2
Solve 30*u**5 + 0*u + 0 - 3/2*u**2 + 9/2*u**4 - 27/4*u**3 = 0.
-2/5, -1/4, 0, 1/2
Factor 5*s**2 - 3/2*s**3 + 3/2 + 1/4*s**5 - 1/2*s**4 - 19/4*s.
(s - 2)*(s - 1)**3*(s + 3)/4
Let h = 1088 - 1072. Suppose -4*w = -h, 0 = r + 5*w - 3*w - 11. Factor 0*f**2 + 4/5 + 6/5*f - 2/5*f**r.
-2*(f - 2)*(f + 1)**2/