 1
Let p(r) = -28*r**4 - 511*r**3 - 1553*r**2 - 1769*r - 324. Let z(f) = -5*f**4 - 85*f**3 - 259*f**2 - 295*f - 54. Let h(x) = -2*p(x) + 13*z(x). Factor h(n).
-(n + 3)**3*(9*n + 2)
Let c be (2/24)/(29/232). Factor 0 - 4/3*u**2 - c*u**3 - 2/3*u.
-2*u*(u + 1)**2/3
Let i(c) be the first derivative of 1/7*c**2 + 0*c + 1/35*c**5 - 2 + 5/21*c**3 + 1/7*c**4. Factor i(j).
j*(j + 1)**2*(j + 2)/7
Let i = -19264/3 - -6540. Determine w so that i*w**3 + 46*w - 356/3*w**2 + 6*w**5 - 6 - 46*w**4 = 0.
1/3, 1, 3
Let m(d) be the second derivative of -3*d**7/560 + d**6/80 + d**5/40 - 9*d**2 + 20*d. Let y(q) be the first derivative of m(q). Find z such that y(z) = 0.
-2/3, 0, 2
Let i(p) be the third derivative of 0*p**3 + 0*p + 0 + 1/70*p**5 - 1/56*p**4 + 11*p**2 + 1/280*p**6 - 1/245*p**7. What is l in i(l) = 0?
-1, 0, 1/2, 1
Let c(g) = -22*g**2 - 240*g - 239. Let l(a) = 7*a**2 + 80*a + 79. Let q(y) = 2*c(y) + 7*l(y). Find b such that q(b) = 0.
-15, -1
Let d(u) = u**5 - 2*u**3 + 2*u - 1. Let f(k) = 6*k**5 - 11*k**4 + 9*k**3 - 9*k**2 + 8*k - 3. Let y(c) = -3*d(c) + f(c). Solve y(w) = 0.
0, 2/3, 1
Let h(o) be the first derivative of -3*o**4/4 + 14*o**3 + 3*o**2/2 - 42*o - 87. Factor h(c).
-3*(c - 14)*(c - 1)*(c + 1)
Suppose 2*d = -d - 15, 0 = 5*f + d - 25. Let k be 3/2 + (-12)/(2 - f). Solve 3/4*j**2 + 27/4 - k*j = 0 for j.
3
Let c(b) = -b**2 - 11*b + 10. Let h be c(-12). Let u be (48/(-40))/(h/30). Determine t so that -u*t**3 - 3*t - 6*t + 4*t + 22*t**2 + t = 0.
0, 2/9, 1
Let z = 107 + -102. Let 2*s**z + 3*s**3 - 7*s**3 - 6*s**4 + 4*s**4 = 0. Calculate s.
-1, 0, 2
Let u be (-16)/9 - (-6)/(-27). Let r(y) = 3*y**2 - 6*y - 11. Let l(m) = 1. Let n(o) = u*l(o) - r(o). Factor n(j).
-3*(j - 3)*(j + 1)
Let i(a) = -2*a - 9. Let j be i(-6). Solve 8*x - 5*x**3 - 4*x**2 + 0*x**2 + x**j = 0.
-2, 0, 1
Let s be ((-312)/728)/(-2 - 36/(-21)). Suppose -75/8*q**4 - s*q - 15/8*q**3 + 0 + 6*q**2 = 0. Calculate q.
-1, 0, 2/5
Factor 3/4 + t + 1/4*t**2.
(t + 1)*(t + 3)/4
Let i(g) be the first derivative of -15*g**6/2 - 87*g**5/5 + 60*g**4 - 36*g**3 - 667. Let i(b) = 0. Calculate b.
-18/5, 0, 2/3, 1
Suppose 2*x - 5 = 211. Let l be (2/(-7))/1*(-162)/x. Factor 0*u + 0 - l*u**3 + 0*u**2 + 3/7*u**4.
3*u**3*(u - 1)/7
Suppose -1/7*p**4 - 16/7*p**3 - 7 - 16*p - 78/7*p**2 = 0. What is p?
-7, -1
Let c(s) be the first derivative of 26 - 3*s - 55/12*s**3 - 7*s**2 + 25/16*s**4. Suppose c(h) = 0. What is h?
-2/5, 3
Let g(d) = d**2 - d - 1. Let a(j) = -3*j**2 + 8. Let u(p) = a(p) + 4*g(p). Factor u(t).
(t - 2)**2
Let y(h) = 93*h**3 + 999*h**2 - 336*h - 732. Let d(x) = 19*x**3 + 200*x**2 - 67*x - 147. Let i(p) = -24*d(p) + 5*y(p). Suppose i(a) = 0. Calculate a.
-22, -2/3, 1
What is j in -1/2*j + 1 - 1/2*j**3 + j**5 - 7/2*j**2 + 5/2*j**4 = 0?
-2, -1, 1/2, 1
Solve 9 + 9*w + 30*w**2 + 71*w - 25*w + 21 + 5*w**3 = 0.
-3, -2, -1
Determine l so that -3173*l - 45*l**3 - 4*l**4 + 3*l**4 - 720*l**2 + 983*l - 3375 - l**3 - 1860*l = 0.
-15, -1
Let d be ((-1)/(-2)*-12)/(-2). Let t(v) be the first derivative of d + 3/2*v**4 + 0*v + v**2 + 8/3*v**3. Find m, given that t(m) = 0.
-1, -1/3, 0
Let h be (0/(-1))/(12*(-13)/39). Factor h + 2/7*v**2 + 2/7*v.
2*v*(v + 1)/7
Let n(i) be the second derivative of -1/60*i**6 + 0 + 5*i - 1/2*i**2 + 1/6*i**4 + 0*i**3 + 1/30*i**5. Let q(u) be the first derivative of n(u). Factor q(m).
-2*m*(m - 2)*(m + 1)
Let d = -2 - -6. Let a be ((-1)/1)/(d/(-24)). Factor -24*o**3 + a*o**2 + 3*o**4 - 42 - 30 - 9 + 48*o**2.
3*(o - 3)**3*(o + 1)
Let o be 500/96 - 3/(-13 + -11). Determine q so that o*q - 32/3 + 8/3*q**2 - 4/3*q**3 = 0.
-2, 2
Let k = -2937 + 14687/5. Factor 0 - k*v**3 + 0*v**2 + 2/5*v.
-2*v*(v - 1)*(v + 1)/5
Factor 0 + 87/5*g - 18*g**2 + 3/5*g**3.
3*g*(g - 29)*(g - 1)/5
Let u(q) be the second derivative of -q**4/6 + q**3/3 + 2*q**2 + 11*q + 2. Solve u(f) = 0.
-1, 2
Let r = 145/798 + -3/19. Let x(t) be the second derivative of 1/5*t**6 + r*t**7 + 9/20*t**5 + 0 + t + 0*t**2 + 0*t**3 + 0*t**4. Factor x(j).
j**3*(j + 3)**2
Factor 4427 - 17227 - 320*z + 42*z**2 - 44*z**2.
-2*(z + 80)**2
Let x(v) be the first derivative of v**5/2 + 17*v**4/8 - 47*v**3/6 - 29*v**2/4 + 15*v + 312. Determine a, given that x(a) = 0.
-5, -1, 3/5, 2
Suppose 974 = -21*y + 3431. Let w be -2*((-26)/y - (-31)/(-63)). Find p, given that -w*p**2 - 6/7*p + 0 - 2/7*p**3 + 2/7*p**4 = 0.
-1, 0, 3
Let d(j) be the second derivative of -j**7/2520 - j**6/180 - j**5/30 + j**4/6 + 11*j. Let y(q) be the third derivative of d(q). Let y(n) = 0. Calculate n.
-2
Let a(i) be the third derivative of i**8/168 - i**7/21 + i**6/20 + i**5/6 - i**4/3 + 10*i**2 + 2*i. Solve a(p) = 0 for p.
-1, 0, 1, 4
Let i be (-1 + (-132)/9)/((-1)/(-3)). Let n = i + 143/3. Suppose -2/3*r - n*r**2 + 4/3 = 0. Calculate r.
-2, 1
Let y(d) be the third derivative of -d**8/1008 - d**7/63 - 7*d**6/90 - 2*d**5/15 - 48*d**2. Factor y(q).
-q**2*(q + 2)**2*(q + 6)/3
Factor 4/5*m**2 + 52/5*m - 56/5.
4*(m - 1)*(m + 14)/5
Let g(y) = y**3 - 4. Let f(n) = -464 + 464 + n**2. Let b(i) = -6*f(i) + g(i). Let r(d) be the first derivative of b(d). Factor r(l).
3*l*(l - 4)
Let y(m) = m**3 + 28*m**2 + 75*m + 50. Let k(a) = -4*a**3 - 112*a**2 - 299*a - 200. Let w(s) = 4*k(s) + 18*y(s). Suppose w(u) = 0. What is u?
-25, -2, -1
Suppose -41 = -6*z - 173. Let k be 20 + z + 1 + 6/1. Factor 4/7*g**2 + 0 + 0*g**3 - 4/7*g**4 + 2/7*g**k - 2/7*g.
2*g*(g - 1)**3*(g + 1)/7
Let o(a) = -3*a**4 - 9*a**3 - a - 7. Suppose -2 = -5*y + 8. Let q be (-6 + -4)/(0 + y). Let r(n) = n**4 + 4*n**3 + 3. Let i(p) = q*r(p) - 2*o(p). Factor i(g).
(g - 1)**3*(g + 1)
Let k be 24/704*60 - 66/44. Solve -8/11*a**4 + k*a**2 - 10/11*a**3 + 10/11*a + 2/11 = 0 for a.
-1, -1/4, 1
Suppose 0 = -15*g + 1874 - 1874. Let g + 4/19*l**2 + 2/19*l = 0. Calculate l.
-1/2, 0
Suppose 5*r + 0*r**3 - 35/6*r**2 + 0 + 5/6*r**4 = 0. Calculate r.
-3, 0, 1, 2
Let t(g) = g**4 + g**2 - g + 1. Let r(k) = -2*k**4 + 14*k**2 - 10*k + 2. Let m = -32 - -33. Let j(s) = m*r(s) - 2*t(s). Factor j(p).
-4*p*(p - 1)**2*(p + 2)
Let x(c) be the third derivative of c**6/120 - c**5/5 + 2*c**4 + c**3/2 + 7*c**2. Let d(h) be the first derivative of x(h). Find r, given that d(r) = 0.
4
Let a(w) = -6*w**2 - 150*w + 5. Let b(o) = -3*o**2 - 75*o + 3. Let f(h) = 3*a(h) - 5*b(h). Find u, given that f(u) = 0.
-25, 0
Factor 7*w**4 - 297/2*w - 39*w**3 + 108*w**2 + 81 - 1/2*w**5.
-(w - 3)**4*(w - 2)/2
Let z(c) be the third derivative of c**7/1680 + c**6/160 - c**4/24 + 13*c**2. Let n(m) be the second derivative of z(m). What is x in n(x) = 0?
-3, 0
Let u(h) be the third derivative of -h**6/90 + h**5/30 + h**4/3 + h**3/3 - 8*h**2. Let d(y) be the first derivative of u(y). Determine x so that d(x) = 0.
-1, 2
Let c = -45823 - -45823. Determine m so that -2/3*m**4 + 4/3*m**3 + c - 4*m + 10/3*m**2 = 0.
-2, 0, 1, 3
Let g(z) = -z**3 + 2*z**2 - 1. Let r(f) = 10*f**3 + 22*f**2 + 253*f - 3165. Let x(c) = -45*g(c) - 5*r(c). Factor x(l).
-5*(l - 6)*(l + 23)**2
Let k(n) = -430*n + 15910. Let m be k(37). Solve m + 0*i - 2/11*i**2 - 2/11*i**3 = 0 for i.
-1, 0
Let g(r) be the third derivative of -r**8/560 - r**7/50 - 9*r**6/100 - r**5/5 - r**4/5 + 4*r**2. Solve g(q) = 0 for q.
-2, -1, 0
Suppose -3 = -2*h + 5*v, -h = 4*h + 4*v - 24. Let c(z) be the first derivative of 0*z + 1/4*z**2 - 5/6*z**3 + 1/2*z**h + 1. Factor c(x).
x*(x - 1)*(4*x - 1)/2
Suppose -4*s = x - 33, 111 = 4*x - 7*s + 2*s. Let w = 31 - x. Factor 0 + 0*q + 1/4*q**w.
q**2/4
Find w such that 80*w**3 - 22*w**3 + 5*w**5 - 65*w**4 - 290*w**3 + 82*w**3 = 0.
-2, 0, 15
Let -2/3*f - 1/3*f**2 + 0 + 1/3*f**3 = 0. What is f?
-1, 0, 2
Solve -9*a**5 - 4*a**2 + 13*a**3 + 6*a**2 - 6*a**2 + a**5 + a**3 + 10*a**4 = 0.
-1, 0, 1/4, 2
Let c = 1369 + -6841/5. Suppose c*m + 6/5*m**2 + 1/5*m**4 + 1/5 + 4/5*m**3 = 0. Calculate m.
-1
Let i(z) be the first derivative of 4*z**3/9 - 256*z**2/3 + 16384*z/3 - 394. Factor i(s).
4*(s - 64)**2/3
Let t = 26246/5055 - -8/1011. Factor -14/5 - 2*v**2 - 2/5*v**3 + t*v.
-2*(v - 1)**2*(v + 7)/5
Let a be ((-312)/(-36))/((-2)/(-3)). Let u = -8 + a. Factor -u - 3*w**2 + 5 - 3*w + 3*w**3 + 3.
3*(w - 1)**2*(w + 1)
Suppose -2*u - 3*u + 10 = 0. Factor -12*l**u - 55*l + 14*l**2 + 3*l**2.
5*l*(l - 11)
Let i = -22 + 7. Let d be (-18)/(-5) - (-9)/i. Determine g so that 0*g**2 + 7*g**d - 4*g**4 + g**4 - 3*g**2 - g**3 = 