e 0*r**2 + 0 - 3/4*r**i + 3/4*r = 0. Calculate r.
-1, 0, 1
Let l(j) = -13*j**2 + 58*j - 89. Let u(x) = -24*x**2 + 114*x - 177. Let z(a) = -9*l(a) + 5*u(a). Factor z(f).
-3*(f - 14)*(f - 2)
Let y(m) = 13*m**4 - 16*m**3 + 48*m**2 - 28*m + 7. Let f(j) = 11*j**4 - 16*j**3 + 47*j**2 - 30*j + 8. Let w(t) = -6*f(t) + 5*y(t). Factor w(q).
-(q - 13)*(q - 1)**3
Let m(q) = -20*q**2 + 60*q + 80. Suppose -3*o + 4*h + 13 = -21, -o = 5*h - 24. Let k(w) = -4*w**2 + 12*w + 16. Let s(v) = o*k(v) - 3*m(v). Solve s(d) = 0.
-1, 4
Let a(f) be the first derivative of 4*f**3/3 + 24*f**2 - 69. Let a(r) = 0. Calculate r.
-12, 0
Let r(m) be the second derivative of -5*m**7/42 + 7*m**6/2 - 30*m**5 + 125*m**4/3 + 2*m - 55. What is i in r(i) = 0?
0, 1, 10
Find b such that -2*b**5 + 52/7*b**4 + 30/7*b**3 + 0 - 16/7*b - 52/7*b**2 = 0.
-1, -2/7, 0, 1, 4
Suppose -20 = -5*m + m. Let r = 9 - m. Find v, given that -7*v**2 + r*v + 2*v**3 + 3*v**2 - 2*v**2 = 0.
0, 1, 2
Let g(n) be the third derivative of n**7/840 - n**6/60 - n**5/24 + n**4/12 + 3*n**3/8 + 3*n**2 + 10*n. Suppose g(s) = 0. Calculate s.
-1, 1, 9
Suppose 0*g + 2*g + 5*v - 13 = 0, -2*g = 3*v - 11. Suppose 0 = 6*w - 11*w. Solve s - 5*s + w*s**2 - s**2 - g = 0 for s.
-2
Suppose 9 = 4*t + 66*z - 67*z, 4*t + 3*z = 21. Solve 1/4*u**t + 3/4*u**2 + 1/4*u - 3/4*u**4 + 0 - 1/2*u**5 = 0 for u.
-1, -1/2, 0, 1
Let o(y) be the second derivative of y**7/84 - 7*y**6/15 - 9*y**5/4 - 23*y**4/6 - 31*y**3/12 - 954*y. Factor o(t).
t*(t - 31)*(t + 1)**3/2
Let s(d) be the third derivative of -1/3*d**5 - 1/24*d**6 - 5/6*d**4 + 0*d + 11*d**2 + 0*d**3 + 0. Factor s(r).
-5*r*(r + 2)**2
Let o(s) be the third derivative of -s**8/2016 + s**7/630 + 111*s**2. Factor o(m).
-m**4*(m - 2)/6
Let y(b) be the third derivative of 5/8*b**4 + 25*b**2 - 1/20*b**5 + 3*b**3 + 0*b + 0. Factor y(l).
-3*(l - 6)*(l + 1)
Suppose 0 - 2/7*q**4 + 54/7*q**3 + 116/7*q**2 + 0*q = 0. Calculate q.
-2, 0, 29
Let g = 9 + -5. Let o be 30/(-9)*(-6)/g. Factor 5*t**5 + 2*t**4 - 3*t**3 - 3*t**5 + t**o - 4*t**2 + 2*t**2.
t**2*(t - 1)*(t + 1)*(3*t + 2)
Determine k, given that -144/23*k**2 + 2/23*k**5 - 864/23 - 864/23*k + 80/23*k**3 + 26/23*k**4 = 0.
-6, -2, 3
What is g in -14/3*g - 15*g**2 - 9*g**4 - 5/3*g**5 - 53/3*g**3 + 0 = 0?
-2, -7/5, -1, 0
Suppose 4*r - 2*r = -0*r. Suppose 2*p = -0*p. Suppose p*u + 2/7*u**3 + r - 2/7*u**2 = 0. What is u?
0, 1
Let k = -3 - -11. Suppose -56*r = -54*r - k. Factor 4*q - 2/3*q**r + 0 - 26/3*q**2 + 40/9*q**3.
-2*q*(q - 3)**2*(3*q - 2)/9
Let i(g) = 49*g**3 + 197*g**2 + 202*g + 60. Let q(o) = 247*o**3 + 986*o**2 + 1011*o + 300. Let x(r) = 11*i(r) - 2*q(r). Suppose x(v) = 0. Calculate v.
-3, -2/3
Let f = -301 + 301. Let k(n) be the second derivative of 0 - 7/8*n**4 + 7*n + f*n**2 - 1/2*n**3. Factor k(z).
-3*z*(7*z + 2)/2
Let f(h) = h**3 - 5*h**2 - 6*h + 9. Let y be f(6). Factor 18*s**3 - 3*s**3 - 14*s**4 + 5*s**2 - 5*s**3 - 10*s + y*s**4.
-5*s*(s - 2)*(s - 1)*(s + 1)
Let f(z) be the second derivative of z**6/120 + 9*z**5/10 + 179*z**4/6 + 204*z**3 + 578*z**2 + 2*z - 82. What is n in f(n) = 0?
-34, -2
Let 66*u**3 - 43*u + 51*u**4 + 68*u + 16*u**5 + 55*u**3 + 90*u**2 + 21*u**4 = 0. What is u?
-5/4, -1, 0
Solve 3/5*d - 1/5*d**3 - 2/5*d**2 + 0 = 0.
-3, 0, 1
Let r(f) be the first derivative of f**4 - 32*f**3/3 - 38*f**2 - 40*f - 96. Determine i so that r(i) = 0.
-1, 10
Let q(p) = 10 + 32*p - 33*p - 5 + p**2. Let b be (0 + 1)/1*-5. Let d(w) = w**2 - w + 8. Let j(l) = b*d(l) + 8*q(l). Suppose j(f) = 0. What is f?
0, 1
Let d = 108 + -102. Let p be 1 + -2 + (0 - -1). What is u in -15*u**2 + p - d*u + 0 = 0?
-2/5, 0
Let a be (-888)/555 - ((3 + -1)*-1)/1. Suppose a*l**4 + 2/5*l**2 + 0 + 0*l - 4/5*l**3 = 0. Calculate l.
0, 1
Suppose 3*o + q - 19 = 39, -3*q - 78 = -3*o. Solve 13*d**4 - 16*d + 15*d**4 - o*d**2 + 85*d**2 - 84*d**3 + 8*d**4 = 0.
0, 2/3, 1
Suppose 261*s - 267*s = -42. Let r(d) be the third derivative of 0 + 0*d - 13/300*d**6 - 7/60*d**4 + 4/525*d**s + 1/10*d**5 - 2*d**2 + 1/15*d**3. Factor r(g).
2*(g - 1)**3*(4*g - 1)/5
Let d be ((-142)/12780)/((-1)/3). Let o(r) be the first derivative of 0*r + 1/6*r**3 + 7 + d*r**5 + 1/12*r**2 + 1/8*r**4. Factor o(x).
x*(x + 1)**3/6
Let c(g) be the first derivative of 3/4*g**2 - 3/4*g - 2 - 1/4*g**3. Solve c(b) = 0 for b.
1
Suppose 0 = 4*t, 8*z - 3*t = 3*z + 20. Suppose 6 - 15 = -3*u. Let 3*c**2 - z*c**2 - 81*c + 2 - u + 79*c = 0. Calculate c.
-1
Let a = 46/95 - -52/285. Suppose 2/3*i**2 - 2*i + 2*i**3 + a*i**4 - 4/3 = 0. What is i?
-2, -1, 1
Let n(b) be the first derivative of -b**7/84 + b**5/20 - b**3/12 - 6*b + 13. Let p(s) be the first derivative of n(s). Factor p(y).
-y*(y - 1)**2*(y + 1)**2/2
Let q(f) be the first derivative of f**4/12 - 2*f**2 + 18*f - 13. Let s(c) be the first derivative of q(c). Factor s(l).
(l - 2)*(l + 2)
Let y(m) be the first derivative of 5*m**6/6 + 4*m**5 - 50*m**3/3 - 5*m**2/2 + 30*m + 112. Suppose y(o) = 0. What is o?
-3, -2, -1, 1
Let s = -2997 - -15003/5. Factor s*a**3 - 12/5*a**2 - 12/5*a**4 + 0 + 3/5*a**5 + 3/5*a.
3*a*(a - 1)**4/5
Let b(r) be the first derivative of 1/4*r**4 + 1/20*r**5 - 1/6*r**3 + 1 - 3/2*r**2 + r. Let k(p) be the first derivative of b(p). Let k(z) = 0. What is z?
-3, -1, 1
Let j(n) be the first derivative of 2 + 169/4*n**4 - 4*n - 24*n**2 - 39*n**3. What is v in j(v) = 0?
-2/13, 1
Let u be 2/(-8) - (-5286)/(-40) - 2. Let g = -134 - u. Factor 6/5*b**3 - g*b**2 - 6/5*b**4 + 2/5*b**5 + 0*b + 0.
2*b**2*(b - 1)**3/5
Suppose 4*y = -4*q - 108, -6*y = 4*q - 4*y + 118. Let s be 4/q - (525/24)/(-7). Factor 2/3*i**s - 18 + 18*i - 6*i**2.
2*(i - 3)**3/3
Let y(x) = 9*x - 99. Let i be y(11). Let a(t) be the second derivative of -t + 2/5*t**5 + 0*t**2 + 5/6*t**4 + 1/15*t**6 + i + 2/3*t**3. Factor a(w).
2*w*(w + 1)**2*(w + 2)
Factor -114 - 2*l**2 - 14*l + 45 + 49.
-2*(l + 2)*(l + 5)
Let y(r) = 6*r**3 + 40*r**2 - 288*r - 1522. Let p(c) = 2*c**3 + 13*c**2 - 96*c - 507. Let n(b) = -10*p(b) + 3*y(b). Factor n(k).
-2*(k - 7)*(k + 6)**2
Let w = -2124 - -14869/7. Factor 3/7*i + w*i**2 + 2/7.
(i + 1)*(i + 2)/7
What is t in 36/7*t + 0 - 2/7*t**3 + 34/7*t**2 = 0?
-1, 0, 18
Let s(w) be the third derivative of w**8/8820 + w**7/2205 + w**6/1260 - w**5/20 - 24*w**2. Let i(g) be the third derivative of s(g). Factor i(a).
4*(2*a + 1)**2/7
Let q be (-1)/(-4) + 5 + (-917)/84. Let f = q + 37/6. Suppose f + 5/4*v - 3/4*v**3 - v**2 = 0. What is v?
-2, -1/3, 1
Suppose 4 = -4*t + 20. Factor 28*x**3 + 1356*x + 320*x - 1875 - 3*x**t + 32*x**3 - 176*x - 450*x**2.
-3*(x - 5)**4
Let p(n) = -5*n**2 + 25*n - 9. Let x(u) = -10*u**2 + 52*u - 17. Let k(v) = -5*p(v) + 3*x(v). Factor k(j).
-(j - 6)*(5*j - 1)
Suppose 49/6*t**2 - 77/6*t**3 + 25/6*t + 1/2*t**4 + 0 = 0. Calculate t.
-1/3, 0, 1, 25
Find x, given that 3*x**2 + 0 + 3/2*x - 3*x**4 - 3/2*x**5 + 0*x**3 = 0.
-1, 0, 1
Let s(c) be the third derivative of -1/240*c**5 + 0*c**3 + 0*c - 1/48*c**4 + 5*c**2 + 0. Suppose s(w) = 0. Calculate w.
-2, 0
Let o(h) = -3*h + h**3 + h + 8*h + 5 + 7*h**2. Let w be o(-6). Factor 11 - 19 - 9*z + 12*z**2 + w.
3*(z - 1)*(4*z + 1)
Let d(p) be the third derivative of p**8/336 - p**7/210 - 13*p**6/120 + p**5/60 + p**4/2 - 72*p**2. What is v in d(v) = 0?
-3, -1, 0, 1, 4
Let z(v) be the second derivative of v**7/21 - 19*v**5/10 - 17*v**4/3 + 4*v**3 + 40*v**2 - 9*v - 19. Solve z(r) = 0.
-2, 1, 5
Solve -1/7*n**4 + 2/7 - 3/7*n**3 - 1/7*n**2 + 3/7*n = 0 for n.
-2, -1, 1
Let r(z) = -z**2 + 64*z - 293. Let n be r(5). Factor 0*w - 1/3*w**n + 4/3.
-(w - 2)*(w + 2)/3
Let u(z) be the third derivative of -z**6/720 + z**5/180 + z**4/144 - z**3/18 - 470*z**2. Factor u(d).
-(d - 2)*(d - 1)*(d + 1)/6
Let c(h) = -283*h - 566. Let j be c(-2). Find t, given that 0*t - 2/11*t**3 + j - 4/11*t**2 = 0.
-2, 0
Let v(p) = -p**2 + 46*p - 86. Let w be v(44). Let q(b) = b + 6. Let d be q(-5). Suppose -d - 2/3*y + 1/3*y**w = 0. What is y?
-1, 3
Let f = -8584 + 25754/3. Find w, given that -f*w**3 - 2 - 2/3*w**2 + 10/3*w = 0.
-3, 1
Let q(o) be the second derivative of -o + 0*o**4 - 1/8*o**3 + 0 + 1/80*o**5 + 1/4*o**2. Factor q(n).
(n - 1)**2*(n + 2)/4
Let c = 401 - 12029/30. Let a(y) be the second derivative of -3*y + 1/90*y**6 - c*y**5 + 1/36*y**4 + 0*y**2 + 0 + 0*y**3. Let a(b) = 0. What is b?
0, 1
Let x(o) be the second derivative of o**7/15120 + o**6/2160