*4 + 52*u - 6*u**4 - 180*u**2 - 16 + 60*u - 35*u**h - 77*u**3.
4*(u - 1)*(u + 1)*(7*u - 2)**2
Let d(p) be the first derivative of 2/3*p**3 - p - 1/2*p**2 - 1/2*p**4 - 1/30*p**6 + 1/5*p**5 + 5. Let v(j) be the first derivative of d(j). Solve v(u) = 0.
1
Let k(i) be the first derivative of -2*i**6/15 - 8*i**5/5 - 6*i**4 - 32*i**3/3 - 10*i**2 - 24*i/5 + 16. Find f, given that k(f) = 0.
-6, -1
Factor 5/2*m - 1/8*m**2 + 21/8.
-(m - 21)*(m + 1)/8
Let h(t) be the first derivative of 19 + 0*t**3 + 0*t**2 - 1/30*t**6 + 0*t**5 + 0*t + 1/20*t**4. What is x in h(x) = 0?
-1, 0, 1
Let m be 2*(-20)/8 - -10. Find a such that 8 + 10*a - 1 - m*a**2 - 7 - 5 = 0.
1
Let w be 24/616 - 2/(-14). Determine x, given that 0*x**2 + 0 + w*x**3 + 0*x + 2/11*x**4 = 0.
-1, 0
Factor -2/13*b**3 + 48/13*b + 20/13*b**2 + 0.
-2*b*(b - 12)*(b + 2)/13
Let c(q) be the first derivative of -2*q**6/15 + 3*q**5/5 - q**4 + 2*q**3/3 - 10*q + 11. Let x(u) be the first derivative of c(u). Let x(p) = 0. Calculate p.
0, 1
Let w(h) be the first derivative of h**3/3 + h**2/2 - 2. Let v(t) = -t**3 + 13*t**2 - 47*t + 64. Let k(s) = -3*v(s) + 3*w(s). What is q in k(q) = 0?
4
Suppose 79*u - 84*u = -10. Suppose 2*w + 8*w = u*w. Find r, given that -4/5*r**5 - 4/5*r + 0 + w*r**2 + 0*r**4 + 8/5*r**3 = 0.
-1, 0, 1
Let a be (-3)/((-21)/(-4)) + 27864/4515. Factor -12/5*p**3 - a*p**2 - 6/5 + 2/5*p**5 + 2/5*p**4 - 22/5*p.
2*(p - 3)*(p + 1)**4/5
Let b = 99 - 87. Suppose 29*z - 33*z = -b. Let 0 + 4/3*h**2 + 0*h + 10/3*h**z = 0. Calculate h.
-2/5, 0
Find w, given that -4*w**2 - w**2 + 20 + 20072*w - 20087*w = 0.
-4, 1
Suppose -3*f = -j - 4*j + 66, -3*f = -3*j + 66. Let h = -18 - f. Find g such that -9*g**2 + 6*g**4 + g**2 + 4*g**5 + 20*g**3 - 22*g**h = 0.
0, 1, 2
Let r(j) be the third derivative of j**6/160 - j**5/20 + 5*j**4/32 - j**3/4 + j**2 - 83. Factor r(b).
3*(b - 2)*(b - 1)**2/4
Solve -16/13*h - 4/13*h**2 + 10/13*h**3 - 2/13*h**4 + 0 = 0 for h.
-1, 0, 2, 4
Let w(r) be the third derivative of 0*r + 13*r**2 + 1/12*r**5 + 0 - 5/3*r**3 - 5/24*r**4. Let w(x) = 0. What is x?
-1, 2
Factor -10/3*q**2 - 2/3*q**3 + 26/3*q - 14/3.
-2*(q - 1)**2*(q + 7)/3
Let f(d) be the third derivative of -22*d**2 - 1/12*d**5 + 0*d + 0*d**4 + 0 + 10/3*d**3. Factor f(h).
-5*(h - 2)*(h + 2)
Let r(q) = 4*q**3 - 69*q**2 - 59*q - 7. Let n(f) = -2*f**3 + 33*f**2 + 29*f + 3. Let z(v) = 7*n(v) + 3*r(v). Solve z(w) = 0.
-1, 0, 13
Let i = 46176/17 + -2716. What is h in -i*h**4 - 2/17*h**5 + 0 + 0*h + 0*h**2 + 0*h**3 = 0?
-2, 0
Let c(z) = z**2 + z + 1. Let t(p) = -3*p**2 - 2*p + 14. Let u(h) = h**2 + h - 5. Let b(j) = 6*t(j) + 17*u(j). Let g(x) = 2*b(x) - 2*c(x). Factor g(o).
-4*(o - 1)**2
Suppose 1/4*c**2 + 21/2 + 43/4*c = 0. Calculate c.
-42, -1
Let p = 21/2 - 313/30. Let h(q) be the third derivative of -1/30*q**4 + 0 - 4*q**2 + 0*q + p*q**3 + 1/150*q**5. Factor h(u).
2*(u - 1)**2/5
Determine f so that -204*f**2 + 3*f**5 - 51*f**3 + 62*f + 13*f**4 + 74 - f**4 + 118 - 14*f = 0.
-4, -1, 1, 4
Suppose -4*i - s = -5, 6*i - 3*s + 15 = -0*s. Let f(c) be the second derivative of -1/24*c**3 - 1/80*c**5 + 1/24*c**4 + i + 0*c**2 + 5*c. What is j in f(j) = 0?
0, 1
Factor -222*o**2 - 20 + 0*o**3 + 218*o**2 + 26*o - 2*o**3.
-2*(o - 2)*(o - 1)*(o + 5)
Suppose 1 = 5*h - 19. Suppose a - h*r - 7 = 4*a, 4*a - 28 = 4*r. Factor 3*g**2 + 218*g - 218*g - a*g**4.
-3*g**2*(g - 1)*(g + 1)
Let h(l) = 3*l**3 + 41*l**2 + 4*l - 132. Let i(a) = 2*a**3 + 27*a**2 + 2*a - 88. Let b(p) = 5*h(p) - 8*i(p). Determine o so that b(o) = 0.
-11, -2, 2
Let s(t) = -3*t**2 + 3*t + 11. Suppose -4*p + 8 = -0*p. Let l(f) = 3*f + p*f**2 - 11*f**2 + 6 + 6 + 6*f**2. Let j(a) = 5*l(a) - 6*s(a). Factor j(d).
3*(d - 2)*(d + 1)
Suppose -3*m - 6 + 30 = 0. Let y(v) = 5*v**3 + 18*v + v**4 + v**4 - 3*v**4 + 18*v**2 + m. Let d(h) = -h**4 - h**3 - h. Let l(k) = -2*d(k) + y(k). Factor l(u).
(u + 1)*(u + 2)**3
Let x(u) = -4*u**3 + 4*u**2 - 8. Let m(c) = -c**3 - c - 2. Let q(l) = 20*m(l) - 4*x(l). Solve q(g) = 0 for g.
-2, -1
Suppose -17*q - 3*q = 4480. Let n be q/(-98) - 2*(-2)/(-14). Determine m, given that -1/6*m**4 - 1/3*m + 1/3*m**3 + 0 + 1/6*m**n = 0.
-1, 0, 1, 2
Let r(o) be the second derivative of 121*o**4/54 - 748*o**3/9 + 1156*o**2 + 142*o + 2. What is d in r(d) = 0?
102/11
Let b = 27 + -25. Let u(y) be the first derivative of 0*y**3 + 0*y + 5 + 1/14*y**4 - 1/7*y**b. Find g, given that u(g) = 0.
-1, 0, 1
Suppose 3*m - 3 = m + w, -3*w = -3*m. Factor 15*d**m - 23*d**4 - 30*d**4 - 6 + 21*d - 27*d**2 + 50*d**4.
-3*(d - 2)*(d - 1)**3
Let h be ((-1)/(5/(-4)))/((-118)/6195*-273). Factor -h*b**2 + 40/13*b - 200/13.
-2*(b - 10)**2/13
Let g(b) be the first derivative of 2*b**3/27 - 182*b**2/9 + 16562*b/9 - 792. Solve g(f) = 0.
91
Let r be (-20)/8 - (-13)/2. Factor 3*b + 9*b + r*b**3 + 4 + 187*b**2 - 175*b**2.
4*(b + 1)**3
Let a(m) be the second derivative of 5*m**7/42 - 4*m**6/3 + 13*m**5/4 + 65*m**4/6 - 160*m**3/3 + 80*m**2 - 74*m + 1. Determine b so that a(b) = 0.
-2, 1, 4
Let r(a) be the first derivative of -a**3/6 - 13*a**2/4 - 20*a + 58. Find j, given that r(j) = 0.
-8, -5
Let q(p) = p**2 - 7*p + 7. Let u(w) = 3*w - 3. Let c(a) = 2*q(a) + 5*u(a). Let h(z) = z**2 + z. Let g(m) = 5*c(m) - 15*h(m). Factor g(i).
-5*(i + 1)**2
Let c(x) be the second derivative of -x**6/6 + 3*x**5/4 - 5*x**4/12 - 5*x**3/2 + 5*x**2 + 2*x + 90. Let c(n) = 0. What is n?
-1, 1, 2
Let d = -163 + 166. Let x be 2/d*(-6)/(-18). Find g, given that -2/9*g**4 + 0*g**3 + 0 + x*g**5 + 0*g + 0*g**2 = 0.
0, 1
Factor 25 + 19*l**2 - 225 + 23*l**2 - 39*l**2 + 599*l.
(l + 200)*(3*l - 1)
Let v be ((-8)/(-16))/(1/2). Let r be 16 + -9 - 1/v. What is h in 0*h - h + 4*h - r + 3*h**2 = 0?
-2, 1
Let a(j) = -289*j - j**2 + 5 - 4 + 290*j. Let p(m) = 2*m**3 + 4*m**2 + 2*m + 2. Let z(u) = -4*a(u) + 2*p(u). Let z(b) = 0. What is b?
-3, 0
Let o(t) = 12 + 12 - 3*t - 3 + 3*t**2. Let x(k) = k**2 - k + 10. Let w = -33 + 24. Let u(r) = w*x(r) + 4*o(r). Factor u(p).
3*(p - 2)*(p + 1)
Factor -1/3 + 97/6*v**2 + 95/6*v.
(v + 1)*(97*v - 2)/6
Let b(o) = -375*o**5 + 915*o**4 - 705*o**3 + 192*o**2 + 30*o + 15. Let d(m) = -m**4 - m**3 - 2*m - 1. Let j(k) = b(k) + 15*d(k). Solve j(h) = 0.
0, 4/5
Solve -14/13*o**4 + 2/13*o**5 - 66/13*o**3 + 1176/13 + 1232/13*o + 262/13*o**2 = 0.
-3, -2, 7
Factor -94/11*o + 10/11*o**2 + 84/11.
2*(o - 1)*(5*o - 42)/11
Let j(n) be the second derivative of -23*n**4/16 + 21*n**3/8 + 3*n**2/4 + 271*n. Solve j(x) = 0.
-2/23, 1
Let t(j) be the first derivative of 1/40*j**5 + 3*j - 5 - 1/8*j**4 - 1/4*j**2 + 1/4*j**3. Let f(l) be the first derivative of t(l). Factor f(a).
(a - 1)**3/2
Let p(j) be the second derivative of j**7/126 + j**6/90 - j**5/30 - j**4/18 + j**3/18 + j**2/6 - 2*j + 39. Suppose p(n) = 0. What is n?
-1, 1
Suppose -4*c + 16 = 3*d, -3*d + 8*c = 3*c - 7. Solve -80*v**2 + 96*v**2 - d*v**3 + 0*v**3 - 8*v - 4*v = 0 for v.
0, 1, 3
Let p(d) be the second derivative of 0 - 10*d + 1/12*d**4 - 1/6*d**3 + 0*d**2. Factor p(l).
l*(l - 1)
Factor 4/7*g**4 - 2/7*g**5 - 72/7*g + 22/7*g**3 + 0 - 24/7*g**2.
-2*g*(g - 3)**2*(g + 2)**2/7
Let r(t) = 4*t**3 - 15 - 5 - 19*t - 5*t. Let n(s) = -s - s + 4*s - s + 1. Let x(b) = -20*n(b) - r(b). Factor x(p).
-4*p*(p - 1)*(p + 1)
Let n(k) be the second derivative of 4/15*k**2 - 26*k - 1/3*k**3 + 2/9*k**4 + 0*k**6 - 1/15*k**5 + 1/315*k**7 + 0. Factor n(a).
2*(a - 1)**4*(a + 4)/15
Let w(h) be the second derivative of -h**7/28 + 7*h**6/20 - 51*h**5/40 + 17*h**4/8 - 3*h**3/2 - h + 31. Suppose w(y) = 0. What is y?
0, 1, 2, 3
Let w = 14 - 10. Let i be 2 + 36/(-21) - (-520)/91. Factor 32*s**3 - w*s - 29*s**3 + 0*s**4 - 4*s**2 + i*s**4 + s**5 - 2*s**4.
s*(s - 1)*(s + 1)*(s + 2)**2
Let u(p) be the third derivative of p**7/126 - p**6/12 - 3*p**5/4 - 5*p**4/18 + 10*p**3 + 327*p**2 - 2*p. Factor u(x).
5*(x - 9)*(x - 1)*(x + 2)**2/3
Suppose 5*k = 2*k. Let m be (-2 - k) + 17 + 3. Solve 6*a + 8 - m*a + 2 + 2 - 45*a**2 = 0.
-2/3, 2/5
Suppose 43*j - 10 + 42 - 161 = 0. Find h such that 3/2 + 3/8*h**4 - 21/8*h**j + 45/8*h**2 - 39/8*h = 0.
1, 4
Let t(v) = -18*v**3 + 56*v**2 + 840*v + 2322. Let x(n) = 2*n**3 + 2*n**2 + n - 1. Let z(f) = -2*t(f) - 20*x(f). Factor z(w).
-4*(w + 4)*(w + 17)**2
Let r(i) = 6*i**3 + 9*i**2. Suppose l + 3 = z, 3*l - l + 3 = -z. Let y(k) = -k**3. Let a(c) = z*r(c) + 9*y(c). Factor a(g).
-3*g**2