- 12*k**2 + 2*k. Factor u(x).
(x + 3)**2*(x + 14)
Suppose 0 = -56*n + 16 + 96. Factor -4*z - 14/3 + 2/3*z**n.
2*(z - 7)*(z + 1)/3
Let d = 95 + -90. Suppose -12 = -f + 2*j, 3*j + 5 = -d*f - 0*f. Factor 0*i**f + 0 + 2/11*i**4 + 0*i + 2/11*i**3.
2*i**3*(i + 1)/11
Let x(g) be the first derivative of -3*g - 1/6*g**4 + 0*g**2 - 14 - g**3. Let a(k) be the first derivative of x(k). Factor a(z).
-2*z*(z + 3)
Suppose -2*z - 4*z = -84. Let i(s) = s**3 + s**2. Let r(f) = -6*f**3 - 5*f**2. Let l be 10/4 - (-4)/(-8). Let u(h) = l*r(h) + z*i(h). Factor u(g).
2*g**2*(g + 2)
Factor 46*k**3 - k**4 - 45*k**2 - 140*k - 134*k + 274*k.
-k**2*(k - 45)*(k - 1)
Let i(x) = -x**4 + 12*x**3 + 3*x**2 - 34*x + 20. Let r(j) = -2*j**4 + 36*j**3 + 6*j**2 - 101*j + 61. Let v(u) = 11*i(u) - 4*r(u). Solve v(k) = 0 for k.
-4, -2, 1
Let v = 27 + -25. Determine q so that 15*q - q**v + 6*q**2 - 1 - 19 = 0.
-4, 1
Find u such that -2*u - 6/17*u**2 + 12/17 = 0.
-6, 1/3
Let g be 4/(-56)*-4 + 11 + 3 + -14. Factor 8/7*q - 6/7 - g*q**2.
-2*(q - 3)*(q - 1)/7
What is u in -1/2*u**2 + 12 + 5*u = 0?
-2, 12
Let i(v) = -v**2 - 14*v + 6. Let s be i(-14). Find k, given that -12*k**3 - 12*k**3 - k**2 + s*k**2 + 19*k**3 = 0.
0, 1
Let g(d) be the third derivative of -d**6/420 - d**5/7 - 75*d**4/28 - 32*d**2 - 5. What is j in g(j) = 0?
-15, 0
Suppose -5*b + 23 - 5 = w, -b = -3*w - 10. Let a(f) be the first derivative of 0*f**2 - 2/15*f**3 + 0*f - 1/10*f**b - 3. Find x, given that a(x) = 0.
-1, 0
Let f = 363 + -6533/18. Let n(p) be the third derivative of 4*p**2 - 4/45*p**6 + 0 - 11/90*p**5 - f*p**4 + 0*p - 1/45*p**7 + 0*p**3. Factor n(d).
-2*d*(d + 1)**2*(7*d + 2)/3
Factor -737 + 733 - 25521*i**2 - 544*i + 7025*i**2.
-4*(68*i + 1)**2
Let q(v) be the first derivative of v**4/16 - 5*v**3/12 - 13*v**2/8 - 7*v/4 + 137. Suppose q(c) = 0. What is c?
-1, 7
Let m(l) be the second derivative of l**5/35 + 5*l**4/21 - 16*l**3/21 - 24*l**2/7 - 66*l - 1. What is n in m(n) = 0?
-6, -1, 2
Let r = -1 + -3. Let l be (-2)/(-1) - (r + 3). Solve 4*i - i + i**2 + i**3 - l*i = 0.
-1, 0
Suppose 0 = -13*r + 24 + 15. Let c(a) be the first derivative of 0*a**2 + 2 + 0*a + 1/20*a**4 + 1/15*a**r. Determine k so that c(k) = 0.
-1, 0
Let n = -7446 + 7450. What is h in 3/8*h**5 + 3/8*h - 3/4*h**2 - 3/4*h**3 + 3/8*h**n + 3/8 = 0?
-1, 1
Let v(t) be the third derivative of 0*t - 1/15*t**6 + 42*t**2 - 2/21*t**7 + 1/84*t**8 + 1/6*t**4 - 10/3*t**3 + 2/3*t**5 + 0. Let v(i) = 0. Calculate i.
-1, 1, 5
Let x be (-23)/(-299)*(0 + 2). Determine b so that -4/13*b - x - 2/13*b**2 = 0.
-1
Let b(y) = y**2 + 4*y - 1. Let s be b(-4). Let t(u) = -u + 1. Let k be t(s). What is h in -k*h**2 + 1 - 7 + 2*h + 6 = 0?
0, 1
Let y = 5/54 - 89/1350. Let q(j) be the second derivative of 5*j + 0*j**2 + 1/105*j**7 + 0 - y*j**6 + 0*j**3 + 1/50*j**5 + 0*j**4. Let q(r) = 0. What is r?
0, 1
Let u(b) = 6*b**5 - 5*b**4 - 6*b**3 - 8*b**2 - 8*b + 5. Let t(n) = n**5 - n**4 - n + 1. Suppose -12 = -9*p - 3*p. Let z(v) = p*u(v) - 5*t(v). Factor z(j).
j*(j - 3)*(j + 1)**3
Let v = 590 - 587. Determine t so that -2/9*t**2 + 0*t + 2/9*t**4 + 0 + 0*t**v = 0.
-1, 0, 1
Let d(h) be the second derivative of 5*h + 1/10*h**6 + 0*h**5 - 2 + 0*h**3 + 6*h**2 - 5/4*h**4. Let d(q) = 0. What is q?
-2, -1, 1, 2
Find h, given that 42*h**2 + 1/4*h**4 + 11/2*h**3 + 343/4 + 245/2*h = 0.
-7, -1
Suppose -9*k = 2014 - 2014. Let q(f) be the second derivative of 2/15*f**6 + 9*f + k + 8/3*f**3 - 4/5*f**5 + f**4 - 8*f**2. What is i in q(i) = 0?
-1, 1, 2
Let b be 29 + 0 + 28130/(-986). Factor -b*g**3 - 32/17*g**2 + 0*g + 6/17*g**5 + 16/17*g**4 + 0.
2*g**2*(g + 2)**2*(3*g - 4)/17
Factor -4/9*w**3 + 26/9*w + 50/9*w**2 + 0.
-2*w*(w - 13)*(2*w + 1)/9
Let o(i) = i**3 + 16*i**2 + 33*i + 70. Let w be o(-14). Let 0 + w*n + 6/23*n**2 + 4/23*n**3 = 0. Calculate n.
-3/2, 0
Let u = 34 + -22. Determine j so that -8*j**2 + 43*j - 25*j - 20*j - 2*j**5 - 8*j**4 - u*j**3 = 0.
-1, 0
Let o(x) be the first derivative of 2*x**2 - 8*x - 54 + 4/3*x**3. Solve o(c) = 0 for c.
-2, 1
Suppose 15 = v + 2*v. What is w in 16*w**3 + 19*w**3 + 10*w**2 - 12*w**v - 10*w**4 - 6*w**5 - 17*w**5 = 0?
-1, -2/7, 0, 1
Factor 18*t**3 + t**2 - 33*t + 7 + 9 - 4*t**2 + 2.
3*(t - 1)*(2*t + 3)*(3*t - 2)
Let j be 0 - 1/(1/(-3)). Let i(a) = -a**3 + 3*a**2. Let c be i(j). Find u such that c - 2*u**2 - 3*u**3 + 0 + 11*u**2 - 6*u = 0.
0, 1, 2
Suppose -104*q + 105*q = 5. Let x(c) be the second derivative of 3/20*c**q + 3/2*c**2 - 2*c - 1/2*c**3 - 1/4*c**4 + 0. Find a, given that x(a) = 0.
-1, 1
Let j(m) be the third derivative of -4/15*m**3 + 35*m**2 + 1/20*m**4 + 1/150*m**5 + 0*m + 0. Let j(y) = 0. What is y?
-4, 1
Let p(k) be the first derivative of k**6/15 + 4*k**5/5 + 29*k**4/10 + 8*k**3/3 + 188. What is q in p(q) = 0?
-5, -4, -1, 0
Factor -100*w**2 - 408*w - 11*w**3 + 242*w**2 - 144 - 319*w**2 - 10*w**3.
-3*(w + 4)**2*(7*w + 3)
Let q(i) be the first derivative of -5*i**6/6 - 4*i**5 + 15*i**4 - 184. Let q(x) = 0. What is x?
-6, 0, 2
Let j(f) be the first derivative of 3/2*f**3 + 0*f + 0*f**2 - 3/8*f**4 - 6. Solve j(x) = 0.
0, 3
Suppose 5*k - 4 = -2*i, 21*i - 23*i = 3*k. Let g(v) be the first derivative of 4/3*v + 7/6*v**k - 6 + 2/9*v**3 - 1/12*v**4. Factor g(d).
-(d - 4)*(d + 1)**2/3
Let q(z) be the third derivative of -z**8/1680 - z**7/175 - z**6/50 - 2*z**5/75 + 2*z**2 - 2. Factor q(m).
-m**2*(m + 2)**3/5
Factor -1/4*l**3 - 5 - 5/2*l**2 - 29/4*l.
-(l + 1)*(l + 4)*(l + 5)/4
Factor 2/3 - 3*h**2 + 7/3*h.
-(h - 1)*(9*h + 2)/3
Let m be 5 - 7/((-4725)/(-3370)). Let f(q) be the second derivative of 0*q**2 - 1/45*q**5 + 0 + 0*q**3 - 2*q - m*q**6 - 1/54*q**4. Factor f(o).
-2*o**2*(o + 1)**2/9
Let z(h) = h - 15. Let w be z(15). Suppose w = 10*q - 1 - 19. Factor 3/4*u**3 + 0*u**q + 0 - 3/4*u.
3*u*(u - 1)*(u + 1)/4
Let v = -85 - -89. Let b(h) be the third derivative of -1/840*h**7 + 1/160*h**6 + 1/96*h**v + 0*h - h**2 + 0 + 0*h**3 - 1/80*h**5. Factor b(l).
-l*(l - 1)**3/4
Let k = 119/2 - 58. Let x be 4/(-7) - (-25)/((-6 - 71)/(-11)). Find r such that 0*r + k*r**4 + x*r**3 + 0 + 3/2*r**2 = 0.
-1, 0
Let s be 4 + -2 - -1 - 3. Suppose 3*r + 5*j - 12 - 36 = s, 0 = -j. Find z, given that -20 - 14 - 2*z**2 + 2 + r*z = 0.
4
Let x(b) be the second derivative of 3*b**2 + 28*b + 1/12*b**4 + 0 + 7/6*b**3. Factor x(q).
(q + 1)*(q + 6)
Let p(w) be the second derivative of w**4/16 - 5*w**3/2 - 9*w + 1. Find a, given that p(a) = 0.
0, 20
Let b(s) be the second derivative of -s**6/120 - 3*s**5/80 + s**4/16 + 7*s**3/24 - 3*s**2/4 + 11*s - 8. Solve b(x) = 0 for x.
-3, -2, 1
Let h(x) be the first derivative of -x**6/3 + 12*x**5/5 - 6*x**4 + 20*x**3/3 - 3*x**2 + 209. Factor h(b).
-2*b*(b - 3)*(b - 1)**3
Let j(s) be the first derivative of -5/24*s**6 - 9/4*s**5 - 20*s + 10 - 70/3*s**3 - 30*s**2 - 10*s**4. Factor j(u).
-5*(u + 1)*(u + 2)**4/4
Let l(j) = -20*j - 40. Let q be l(-2). Solve 4/13*x + q - 2/13*x**2 = 0.
0, 2
Determine c, given that 31*c**3 - 20*c**3 + 8*c**2 - 8*c**3 + 4*c = 0.
-2, -2/3, 0
Let u(l) = -l**3 - 7*l**2 - 13*l - 7. Let m(n) = n**3 + 5*n**2 + 9*n + 5. Let v(p) = 7*m(p) + 5*u(p). Factor v(s).
2*s*(s - 1)*(s + 1)
Let r(n) be the third derivative of -n**8/2688 - n**7/504 - n**6/288 + 19*n**4/12 - 25*n**2. Let o(k) be the second derivative of r(k). Factor o(c).
-5*c*(c + 1)**2/2
Let k(f) be the first derivative of -2*f**5/11 + 9*f**4/22 - 2*f**3/11 - f**2/11 - 64. Factor k(i).
-2*i*(i - 1)**2*(5*i + 1)/11
Let f(b) be the third derivative of 0*b + 1/210*b**5 + 2*b**2 - 1/1176*b**8 + 0*b**3 - 1/42*b**4 + 1/140*b**6 + 0 - 1/735*b**7. Find i such that f(i) = 0.
-2, -1, 0, 1
Let t(k) = k**2 + 5*k - 3. Let p be 27/(-5) + 15/(-25). Let o be t(p). Determine b, given that -b**o + 4*b**3 + b**5 + 3*b**4 - 4*b**3 + b**2 + 4*b**3 = 0.
-1, 0
Let m(q) = -19*q**2 - 30*q + 70. Let u(y) = -265*y**2 - 420*y + 985. Let w(i) = -85*m(i) + 6*u(i). Suppose w(j) = 0. Calculate j.
-2, 4/5
Let g(f) be the first derivative of 8*f**6/9 + 496*f**5/15 + 1021*f**4/3 + 1240*f**3/3 + 150*f**2 + 33. Suppose g(h) = 0. What is h?
-15, -1/2, 0
Let w(i) be the first derivative of -i**6/42 + 4*i**5/35 - i**4/7 - 2*i**3/21 + 5*i**2/14 - 2*i/7 - 25. Factor w(v).
-(v - 2)*(v - 1)**3*(v + 1)/7
Factor 19/2*u - 27/4*u**2 - 4 + u**3 + 1/4*u**4.
(u - 2)*(u - 1)**2*(u + 8)/4
Suppose 4*b + 20 = 3*p + p, -5*p + 