5*p**y + 0 = 0?
-1, 0
Let y(j) be the first derivative of -j**8/8400 + j**7/2100 + j**6/600 - 17*j**3/3 + 15. Let b(w) be the third derivative of y(w). Factor b(q).
-q**2*(q - 3)*(q + 1)/5
Let k(b) = 25*b**2 + 180*b - 240. Let p(c) = -c - 2. Let y be p(1). Let q(n) = -2*n**2 - 15*n + 20. Let g(x) = y*k(x) - 35*q(x). Let g(o) = 0. What is o?
-4, 1
Let u(p) = -11*p**3 + p**2 - p + 1. Let b(y) = -156*y**3 - 610*y**2 - 64910*y - 2249714. Let h(x) = -2*b(x) + 28*u(x). Factor h(k).
4*(k + 104)**3
Let r = -4120 - -4123. Solve 2*w**2 + 1/2*w**r + 0 + 3/2*w = 0.
-3, -1, 0
Factor -5/6 - k - 1/6*k**2.
-(k + 1)*(k + 5)/6
Let p be (0 - 4)/((-4)/(120/3)). Let -10*u**2 + 0*u**4 - 7*u**5 - 31*u + 16*u**4 - 2*u**5 + p*u**3 - 6 = 0. What is u?
-1, -2/9, 1, 3
Let l(i) be the second derivative of i**4/36 - 2*i**3/9 - 5*i**2/6 - 30*i + 2. Suppose l(t) = 0. Calculate t.
-1, 5
What is j in 46*j**3 + 13*j + j**5 + 56*j**2 + 5*j**5 + 11*j + 440*j**4 - 424*j**4 - 4*j**5 = 0?
-3, -2, -1, 0
Let x(t) = -16 + 2*t**2 + 3 + 8*t + 5. Let m(z) = -5*z**2 - 24*z + 24. Let s(y) = -4*m(y) - 11*x(y). Factor s(u).
-2*(u - 2)**2
Let k(d) be the third derivative of -4/9*d**3 - 1/12*d**4 + 0*d + 1/90*d**5 + 13*d**2 + 0. Determine j, given that k(j) = 0.
-1, 4
Let m(r) = -29*r**4 - 343*r**3 - 1279*r**2 - 1282*r + 51. Let v(p) = -10*p**4 - 114*p**3 - 426*p**2 - 428*p + 18. Let z(c) = 6*m(c) - 17*v(c). Solve z(t) = 0.
-26, -2, 0
Let h(o) = -o**2 + 8*o + 9. Let d be 1/((-20)/(-18) + -1). Let z be h(d). Solve -t + t**2 + 4*t + z*t = 0 for t.
-3, 0
Factor 16/3*k**3 - 3 + k**4 + 14/3*k**2 - 8*k.
(k - 1)*(k + 3)**2*(3*k + 1)/3
Determine a, given that 22/3*a**2 + 0 + 8/3*a**4 + 1/3*a**5 + 8/3*a + 7*a**3 = 0.
-4, -2, -1, 0
Let a(q) be the third derivative of -1/30*q**5 + 0 + 0*q - 2*q**2 - 1/6*q**4 - 1/3*q**3. Factor a(p).
-2*(p + 1)**2
Let o(u) be the third derivative of -u**6/720 + u**4/36 + 5*u**2 + 5. Determine j, given that o(j) = 0.
-2, 0, 2
Let k be 3/18*3 + (-1043)/(-14). Let o = k + -373/5. Factor 2/15*a**2 + 4/15 + o*a.
2*(a + 1)*(a + 2)/15
Let h(t) be the third derivative of t**7/105 + 37*t**6/180 + 113*t**5/135 + 41*t**4/27 + 40*t**3/27 + 5*t**2. Let h(y) = 0. Calculate y.
-10, -1, -2/3
What is j in -9*j - 30 + 46*j + 15*j**2 - 25*j + 57*j = 0?
-5, 2/5
Factor -2/17*p**2 - 4/17 - 6/17*p.
-2*(p + 1)*(p + 2)/17
Let p(s) be the third derivative of -1/40*s**5 + 1/240*s**6 - 1/12*s**3 + 0*s + 0 + 1/16*s**4 + 8*s**2. Solve p(v) = 0.
1
Let f(r) be the first derivative of 4*r**3 + 2/5*r**5 - 20 - 4*r**2 - 2*r**4 + 2*r. Factor f(t).
2*(t - 1)**4
Let q(o) = o**3 + 6*o**2 + 5*o + 5. Let s be q(-4). Let b = s + -13. Factor -b*d + d - 4*d**2 - d.
-4*d*(d + 1)
Let a(d) be the third derivative of -d**10/201600 + d**9/20160 - d**8/6720 + 5*d**5/12 - 7*d**2. Let m(r) be the third derivative of a(r). Factor m(o).
-3*o**2*(o - 2)**2/4
Let z(h) be the second derivative of h**9/1008 - 3*h**7/1120 - h**6/480 - h**3/2 - 6*h. Let c(w) be the second derivative of z(w). Factor c(j).
3*j**2*(j - 1)*(2*j + 1)**2/4
Let o be (-5)/(-15)*-3*-2. Suppose -4*t**3 - 24*t**o - 36*t - 16 + 2*t**3 - 2*t**3 = 0. Calculate t.
-4, -1
Factor -186 - 6*t**2 - 2*t**4 + 10*t + 6*t**3 - 8*t + 186.
-2*t*(t - 1)**3
Let x = 19/3 + -6. Let k = 469/3 + -156. Let 1/3 - 1/3*h**3 + k*h - x*h**2 = 0. Calculate h.
-1, 1
Suppose 5*q**2 + 9/4*q**3 + 1/4*q**4 + 0 + 3*q = 0. Calculate q.
-6, -2, -1, 0
Suppose -5*s = s - 12. Suppose -3*g = 4*d + 2 - 4, -g - s*d = 0. Find l such that 2*l**g - l**2 + 1 + l**2 + 7 + 8*l = 0.
-2
Let z(k) be the second derivative of k**6/12 - 7*k**5/40 - k**4/3 + k**3/3 + 2*k - 2. Factor z(t).
t*(t - 2)*(t + 1)*(5*t - 2)/2
Let z(d) = 7*d**2 - 155*d + 24. Let a be z(22). Let f(c) be the first derivative of c**3 - 3*c - 3/8*c**4 + 3/4*c**a + 1. Let f(k) = 0. Calculate k.
-1, 1, 2
Suppose 18*o**2 - 6*o**4 + 9015 + 3*o**4 + 96*o - 9111 - 15*o**3 = 0. Calculate o.
-4, 1, 2
Let r be 6/(-4)*8/(-6). Let v(a) = 3*a**2 + 88*a - 58. Let t be v(-30). Factor 10*l**2 - 14*l - l**r + t*l - 5*l**2.
4*l*(l - 3)
Let o(j) be the third derivative of j**5/150 - 11*j**4/15 + 484*j**3/15 + 29*j**2 - 1. Factor o(k).
2*(k - 22)**2/5
Let n be -3 - 45/(-4 + -5). Factor 7/3*s**3 - 5/3*s**n + 0 - 2/3*s.
s*(s - 1)*(7*s + 2)/3
Let v(p) = -16*p**2 + 544*p - 780. Let a(n) = -3*n**2 + 99*n - 141. Let o(b) = -28*a(b) + 5*v(b). Factor o(s).
4*(s - 12)*(s - 1)
Solve 1/4*h**5 - 3/4*h**3 - 2*h**2 - h + 0 + 1/2*h**4 = 0 for h.
-2, -1, 0, 2
Let d be (-4)/(-9)*498/996. Find f such that -4/9*f + 2/9*f**5 - 2/3*f**4 + 2/3*f**2 + 0 + d*f**3 = 0.
-1, 0, 1, 2
Let s(u) be the third derivative of u**8/224 + 8*u**7/35 + 29*u**6/16 - 859*u**5/20 + 1007*u**4/4 - 722*u**3 - 10*u**2 + 1. What is t in s(t) = 0?
-19, 2
Let s = -15 - -17. Suppose 5*y - s*d = -d + 17, 3*d = 4*y - 18. Factor 3*p + 4*p**2 + 24*p**3 - 41*p**y + 18*p**3.
p*(p + 1)*(p + 3)
Let c be 2*176/68 + -4. Let i = 277/68 + c. Factor -i*t**3 + 3*t + 13/4*t**2 - 1.
-(t - 1)*(3*t + 2)*(7*t - 2)/4
Determine f, given that 22/3*f**3 - 12*f**2 + 0*f**4 - 2/3*f**5 + 16/3*f + 0 = 0.
-4, 0, 1, 2
Factor -166/3*f - 56 + 2/3*f**2.
2*(f - 84)*(f + 1)/3
Suppose -159201*p - 7057911 - 635*p**2 - 96*p**3 + 93*p**3 - 224*p**2 - 338*p**2 = 0. Calculate p.
-133
Let o be 38/9 + -4 + 32/18. Let r be -6*o*(-704)/336. Factor -24/7 - 50*h**2 + r*h + 14*h**3.
2*(h - 3)*(7*h - 2)**2/7
Let t be (-12)/(-15)*120/84. Find g, given that 8/7*g + 2/7*g**3 - t*g**2 + 0 = 0.
0, 2
Let p(b) be the first derivative of 4*b**3/3 - 4*b**2 - 12*b + 29. Factor p(h).
4*(h - 3)*(h + 1)
Let f(a) be the first derivative of -5/9*a**3 + 10/3*a**2 + 0*a - 22. Factor f(h).
-5*h*(h - 4)/3
Determine f, given that 2/7*f**3 - 4/7*f**2 + 0 + 0*f + 2/7*f**4 = 0.
-2, 0, 1
Factor 2 + 76*k**4 - k**5 - 70*k**4 + 10*k**2 - 11*k**3 - 9*k - 3*k**3 + 6*k**2.
-(k - 2)*(k - 1)**4
Let d(j) be the third derivative of j**4/24 + 7*j**3/6 - 7*j**2. Let h be d(-5). Suppose 0*s + 0 + 1/4*s**h = 0. What is s?
0
Let c(z) = 12 + z + 12*z**3 + 0 - 20*z**2 - 8 - 5*z. Let v(w) = 12*w**3 - 21*w**2 - 4*w + 3. Let u(l) = 5*c(l) - 4*v(l). Factor u(f).
4*(f - 1)**2*(3*f + 2)
Let h(m) be the second derivative of -5*m**4/12 + 65*m**3/6 + 35*m**2 + 105*m. Suppose h(c) = 0. What is c?
-1, 14
Let a(r) = -3*r - r - 10*r**2 - 11*r + 5 + 0*r. Let h(d) = -d**3 + 9*d**2 + 16*d - 6. Let g(b) = -6*a(b) - 5*h(b). Find f such that g(f) = 0.
-2, -1, 0
Solve -30*a**4 + 2*a**5 + 3*a**5 + 1568*a**3 - 755*a**3 - 788*a**3 = 0 for a.
0, 1, 5
Let w(i) = 6*i + 57. Let z = 156 + -165. Let l be w(z). Let -r**2 + 0 - 9/4*r**5 - 1/4*r + 3*r**4 + 1/2*r**l = 0. What is r?
-1/3, 0, 1
Let z(w) be the second derivative of -w**7/4620 - w**6/180 - 2*w**5/55 + 3*w**4/11 - 7*w**3/3 - 3*w. Let n(j) be the second derivative of z(j). Factor n(k).
-2*(k - 1)*(k + 6)**2/11
Let r be 4/(-16) - (-9)/(-12). Let m be r/3 + (-13)/(-3). Suppose 4*d + 7 - m - 11*d + 5*d**2 - d**3 = 0. What is d?
1, 3
Let j be ((-200)/320)/(10/(-4)). Let j*u - 1/4*u**3 + 1/2*u**2 - 1/2 = 0. What is u?
-1, 1, 2
Let p(i) be the first derivative of 2*i**3/27 + 28*i**2/9 + 392*i/9 + 210. Factor p(m).
2*(m + 14)**2/9
Let g(p) be the second derivative of p**6/2 + p**5 - 25*p**4/12 - 5*p**3/3 - 65*p - 1. Factor g(w).
5*w*(w - 1)*(w + 2)*(3*w + 1)
Suppose -5*b + 4*n - 20 = 0, 0 = 5*n + 39 - 64. Solve b*j + 4/9*j**2 + 0 + 14/9*j**3 + 10/9*j**4 = 0 for j.
-1, -2/5, 0
Factor -2/13*p**2 + 4/13 - 2/13*p.
-2*(p - 1)*(p + 2)/13
Suppose 0 = -10*d + 8*d + 376. Let g be d/6 - (-6)/9. Factor -4 + 0*t - 32*t - 60*t**2 + 60*t**4 + 4*t**4 + g*t**3.
4*(t - 1)*(t + 1)*(4*t + 1)**2
Let s(w) be the second derivative of -w**6/270 - w**5/45 + w**4/18 + 2*w**3/27 - 5*w**2/18 - w + 54. Solve s(c) = 0 for c.
-5, -1, 1
Let o(g) = -g**4 - g**2 - g. Let j(s) = 9*s**4 - 56*s**2 - 76*s. Let m(y) = j(y) + 4*o(y). Factor m(n).
5*n*(n - 4)*(n + 2)**2
Let x(f) = f**3 - f**2 - 72*f + 74. Let j be x(1). Factor 11/9*o + 0 - 1/9*o**j.
-o*(o - 11)/9
Suppose -3 = 4*y - 11. Suppose 39 = 5*o - y*v + 4, -2*o - 2*v = 0. Factor 2/3*i**o + 0*i**2 + 0*i**4 + 2/3*i - 4/3*i**3 + 0.
2*i*(i - 1)**2*(i + 1)**2/3
Factor 20/21*l**3 + 0 + 34/21*l**2 + 2/21*l**4 - 8/3*l.
2*l*(l - 1)*(l + 4)*(l + 7)/21
Let o(i) be the first derivative of -11 - 5/12*i**4 - 22/9*i**3 - 8/3*i - 14/3*i**2. Factor o(p).
-(p + 2)**2*(5*