b + 1)**2*(3*b + 1)**2
Solve 7*t**4 - 417*t**2 + 28*t**4 - 695*t - 188*t**2 - 25*t**3 - 150 = 0.
-3, -1, -2/7, 5
Suppose -648*d + 654*d = 12. Let c(a) be the second derivative of 0*a**d + 0*a**3 + 0 + 1/30*a**4 - 3*a. Find y such that c(y) = 0.
0
Determine t so that -3*t + 14*t + 2*t**2 - 26*t**3 - 12 + 25*t**3 = 0.
-3, 1, 4
Let z(r) = 0*r**2 - 3*r + r + r**2 - r**3. Let w(f) = f**3 - f**2. Let c(x) = -2*w(x) - z(x). Factor c(d).
-d*(d - 2)*(d + 1)
Let x(g) = -g + 11. Let r = 136 - 129. Let q be x(r). Let -2/5*y + 0 + 0*y**3 - 3/5*y**2 + 1/5*y**q = 0. What is y?
-1, 0, 2
Let f = 44 - 23. Let j be (f/(-210))/(34/(-30) + 1). Factor 3/2*b**3 + 0 - j*b**4 + 0*b - 3/4*b**2.
-3*b**2*(b - 1)**2/4
Let b(y) be the first derivative of 2*y**3 + y - 6. Let x be b(-1). Factor 0*k**3 - 4*k + x*k - 3*k**3 + 3*k**2 - 3.
-3*(k - 1)**2*(k + 1)
Let z be 1 + 0 + 7/(56/24). Let k(q) be the third derivative of -1/720*q**6 + 0*q + 1/36*q**3 + 1/144*q**z - 1/360*q**5 + 0 + 2*q**2. Factor k(t).
-(t - 1)*(t + 1)**2/6
Let z(f) be the third derivative of 1/6*f**3 + 0 - 1/240*f**6 + 1/840*f**7 - 1/80*f**5 + 0*f - 15*f**2 + 1/24*f**4. Let z(i) = 0. Calculate i.
-1, 2
Let z(u) = -5*u**2 + 222*u + 243. Let g(a) = 10*a**2 - 442*a - 488. Let f(j) = -4*g(j) - 9*z(j). Factor f(n).
5*(n - 47)*(n + 1)
Let a be 2*37 + -18 + 16. Suppose -21 = 17*l - a. Find u such that -1/4*u + 1/4*u**l - 1/4*u**2 + 1/4 = 0.
-1, 1
Find n such that -2/13*n**3 + 14/13*n**2 + 0*n + 0 = 0.
0, 7
Find b such that -4/7*b**2 + 3/7*b**3 + 0 + 1/7*b = 0.
0, 1/3, 1
Find g, given that 16/7*g - 2/7*g**5 - 2*g**3 - 8/7 - 2/7*g**2 + 10/7*g**4 = 0.
-1, 1, 2
Let l(n) be the first derivative of 0*n**3 + 3*n**2 + 5 - 1/2*n**4 + 4*n. Factor l(u).
-2*(u - 2)*(u + 1)**2
Suppose 168 = -0*x - 2*x. Let l = x - -87. Factor 3/4*s**l - 3/2 - 15/4*s - 9/4*s**2 + 3/4*s**4.
3*(s - 2)*(s + 1)**3/4
Determine i so that -3*i**4 + 9/2*i + 0 + 6*i**2 - 15/2*i**3 = 0.
-3, -1/2, 0, 1
Suppose 5*f - 8 = 9*f. Let m be (-14)/f*(-12)/(-42). Find v such that 0*v**3 - 6*v**2 + v - m*v**5 - v**5 - 2*v**3 + 7*v**4 - 1 + 4*v = 0.
-1, 1/3, 1
Suppose a = 3 + 2. Factor -a*o + 4*o**2 - 3*o**2 - 2 + 4*o**2 - 2*o**2.
(o - 2)*(3*o + 1)
Suppose -38*x - 241 = -317. Solve 6/7 + 3*n - 3/7*n**5 + 6/7*n**3 - 6/7*n**4 + 24/7*n**x = 0 for n.
-1, 2
Let a(h) = 16*h + 514. Let u be a(-32). Factor -2/9*p**u - 2/9 + 4/9*p.
-2*(p - 1)**2/9
Let i(v) = -65*v + 3122. Let o be i(48). Factor 5/4*t**2 + 1/4*t**3 + 1 + o*t.
(t + 1)*(t + 2)**2/4
Suppose -70 = -25*i - 10*i. Determine r, given that 2/7*r**i + 18/7 + 12/7*r = 0.
-3
Factor -15 - 29/2*c + 1/2*c**2.
(c - 30)*(c + 1)/2
Suppose 5*a = -d - 10, 5*d - 13 = -5*a + a. Let r(z) = 8*z + 124. Let i be r(-15). Factor -127*g**d + i*g**2 + 125*g**5 - 4*g**4 + 4*g - 2*g.
-2*g*(g - 1)*(g + 1)**3
Let o(f) be the third derivative of f**5/240 - f**4/32 - 3*f**3/4 + 537*f**2. Factor o(s).
(s - 6)*(s + 3)/4
Factor 0 + 27/10*p + 13/5*p**2 - 1/10*p**3.
-p*(p - 27)*(p + 1)/10
Let v(r) be the third derivative of -r**8/43680 - r**7/16380 + r**4/4 - 14*r**2. Let w(i) be the second derivative of v(i). Find f, given that w(f) = 0.
-1, 0
Let o(f) be the second derivative of -2*f + 1/210*f**5 - 42 + 1/63*f**4 - 5/63*f**3 - 2/7*f**2. Factor o(k).
2*(k - 2)*(k + 1)*(k + 3)/21
Let f(l) = -4*l**2 + l - 1. Let y(s) = 4*s**2 - 10*s + 62. Let z(i) = 2*f(i) + y(i). Solve z(b) = 0 for b.
-5, 3
Determine a, given that -119*a**3 + 149*a**3 - 6*a**5 - 40*a**2 + a**5 + 21*a**4 - 6*a**4 = 0.
-2, 0, 1, 4
Suppose 2*c + 10 = -3*j, j - 12 = -5*c + 2. Let m be 2*27/j*-1. Factor 3*q**4 + 3 + 0*q**4 + 14*q**3 + m*q + 16*q**2 + 3*q**4 + q**5 - 1.
(q + 1)**4*(q + 2)
Let s(x) be the third derivative of -x**5/12 + 205*x**4/24 + 35*x**3 + 122*x**2. Factor s(z).
-5*(z - 42)*(z + 1)
Suppose 17*q - 58*q + 5*q**2 - 90*q - 2*q - 322*q = 0. Calculate q.
0, 91
Let r(m) = m**2 + m. Let b be r(1). Suppose 4 = -0*j + b*j. Factor -9*v**3 - 9*v**2 - 3*v - 5*v**4 - 3*v**4 + 3*v**4 + j*v**4.
-3*v*(v + 1)**3
Suppose -3*r + 81 = 4*z - 2*z, -57 = -2*z + 5*r. Determine a, given that -6 + 3*a + z*a**2 - 33*a**2 - 3 + 3*a = 0.
-3, 1
Let i be 1/(-12)*(-75)/20. Let y(p) be the first derivative of 1/12*p**3 + 0*p**2 - 3 + 1/8*p**6 + i*p**4 + 0*p + 7/20*p**5. Factor y(g).
g**2*(g + 1)**2*(3*g + 1)/4
Let z(n) be the first derivative of -n**6/720 + 4*n**3/3 + 9. Let y(w) be the third derivative of z(w). Factor y(u).
-u**2/2
Factor 0 - 2/9*h**4 + 214/9*h**2 - 12*h - 104/9*h**3.
-2*h*(h - 1)**2*(h + 54)/9
Let g be 4/(15 - 7)*0. Factor -4/9*f - 22/9*f**2 - 32/9*f**3 - 14/9*f**4 + g.
-2*f*(f + 1)**2*(7*f + 2)/9
Let l = 74 + -34. Factor -7*c**2 + 9*c**2 + 24 + 108*c + 21*c**3 + 48*c**2 + l*c**2.
3*(c + 2)**2*(7*c + 2)
Suppose 0 = -5*i + 7*i - 56. Suppose -5*h + i = 3*f, 2*h + 2 = 3*h. Let -s**3 + 4*s + f*s**2 + 4*s**3 + 4*s**3 - 5*s**3 = 0. What is s?
-2, -1, 0
Let a(k) be the third derivative of -5*k**8/336 + 2*k**7/21 - k**6/12 - k**5/3 + 5*k**4/8 + 20*k**2 - k. Suppose a(d) = 0. Calculate d.
-1, 0, 1, 3
What is d in 7*d + 4*d**3 + 7*d**2 - 7*d + 3*d - 5*d = 0?
-2, 0, 1/4
Let s(b) be the first derivative of b**3/2 - 3*b**2/4 - 18*b + 48. Factor s(i).
3*(i - 4)*(i + 3)/2
Suppose -2*b + 3*c - 33 = 0, -62 = 4*b + c - 17. Let t = b + 24. Let 4 - 1 - 3*l**2 - t*l**3 + 22*l - 10*l = 0. What is l?
-1, -1/4, 1
Let k(v) be the second derivative of -13*v**7/294 - 16*v**6/105 - 5*v**5/28 - v**4/14 + 59*v. Factor k(t).
-t**2*(t + 1)**2*(13*t + 6)/7
Determine t, given that 44*t**4 - 276 + 565 - 8*t**2 + 76*t - 4*t**5 - 325 - 72*t**3 = 0.
-1, 1, 9
Let c(z) be the first derivative of z**5/15 + z**4/6 - 4*z**3/3 + 2*z**2 + 9. Let j(f) be the second derivative of c(f). Suppose j(p) = 0. Calculate p.
-2, 1
Let q be ((-2)/2)/((-68)/(-12) + -6). Suppose 10*r = -q*r + 312. Factor 3/2*l**2 + r + 12*l.
3*(l + 4)**2/2
Let j(o) be the first derivative of 3*o**4/8 - 3*o**3/2 + 6*o - 19. Let j(k) = 0. Calculate k.
-1, 2
Let g(r) = 102*r + 15. Let u be g(-2). Let m = u - -191. Determine f, given that 2/5*f + 1/5 + 1/5*f**m = 0.
-1
Let g be (-1230)/(-75) + -16 - (-4)/(-10). Factor 0 + 0*p - 3/4*p**3 + g*p**2.
-3*p**3/4
Let x(n) be the first derivative of 1296*n**5 - 1440*n**4 + 920*n**3/3 + 80*n**2 + 5*n + 38. Factor x(l).
5*(2*l - 1)**2*(18*l + 1)**2
Let j(l) = 35*l**3 + l**2 - l. Let c be j(1). Factor 460 - 430 + c*v**2 + 96*v + 19*v.
5*(v + 3)*(7*v + 2)
Let j(p) = -4*p + 3. Let y be j(0). Let z(a) be the third derivative of 0*a**4 - 1/80*a**6 + 1/60*a**5 + 1/420*a**7 - a**2 + 0*a**y + 0 + 0*a. Factor z(w).
w**2*(w - 2)*(w - 1)/2
Let u(n) = 2*n**2 + 72*n + 90. Let q(x) = x**2 + 74*x + 88. Let l(b) = 4*q(b) - 3*u(b). Factor l(a).
-2*(a - 41)*(a + 1)
Factor 156/7*r**2 + 0 + 3/7*r**3 + 153/7*r.
3*r*(r + 1)*(r + 51)/7
Let o(f) be the third derivative of -f**11/665280 + f**9/120960 + f**5/30 + 34*f**2. Let k(z) be the third derivative of o(z). Find i such that k(i) = 0.
-1, 0, 1
Let t(k) be the third derivative of k**8/20160 - k**7/1680 + k**6/360 + k**5/20 - 7*k**2. Let a(b) be the third derivative of t(b). Factor a(q).
(q - 2)*(q - 1)
Let p(z) = z**3 + 6*z**2 + 7*z - 1. Let m be (7 - 6)*3/(-1). Let x be p(m). Suppose 3*w**3 - 1 - x - 3*w + 3 + 3*w**2 = 0. Calculate w.
-1, 1
Let h be (15/9)/(-5)*-9. Let -w**2 + 5 - 7*w**2 + h*w**2 = 0. What is w?
-1, 1
Let b be (20995/2100)/(-17) - 12/(-20). Let v(j) be the third derivative of 1/210*j**5 - b*j**4 - 2*j**2 + 0*j - 2/21*j**3 + 0. Suppose v(p) = 0. Calculate p.
-1, 2
Let c = -3264 - -3266. Let t be -1 - -11*(-2)/(-6). Factor -t*x - 4/3*x**3 + 0 - 4*x**c.
-4*x*(x + 1)*(x + 2)/3
Let i be (-72)/27*(-2)/((-4)/(-3)). Let c(z) be the third derivative of -1/8*z**i + 0*z**3 + 1/10*z**5 - 1/40*z**6 + 2*z**2 + 0 + 0*z. What is y in c(y) = 0?
0, 1
Let t = 220 - 217. What is h in -1/3*h**2 + 0 - 1/3*h**t + 2/3*h = 0?
-2, 0, 1
Let i(a) = a**3 - 4*a**2 - a + 6. Let y be i(4). Factor 3065*c**y - 309*c + 1610*c**3 + 93 + 245*c**4 + 166 + 1689*c - 79.
5*(c + 3)**2*(7*c + 2)**2
Let l(f) = f + 1. Let g be l(14). Suppose 2*o + o - g = 0. Let -5*z**3 - o*z**3 + 8*z**3 = 0. Calculate z.
0
Let j(n) be the first derivative of -1/2*n**2 - 1/5*n**5 + 0*n + 12 - n**3 - 3/4*n**4. What is l in j(l) = 0?
-1, 0
Let r(t) be the first derivative of t**6/45 - 2*t**5/15 + t**4/9 + 4*t**3/9 - t**2 + 11*t - 18. L