lve -3*o**2 - 6*o**2 + 60 - 3*o**2 + 21*o**2 - 32*o - 5*o**2 = 0 for o.
3, 5
Let r(s) be the third derivative of -43*s**6/660 - 4*s**5/15 - 47*s**4/132 - 2*s**3/33 + 5*s**2 - 9*s. Let r(q) = 0. What is q?
-1, -2/43
Suppose 18*v - 74 + 20 = 0. Let w(h) be the second derivative of -1/8*h**v - 4*h + 1/4*h**2 + 0 + 1/48*h**4. Factor w(o).
(o - 2)*(o - 1)/4
Let i = 143/3 - 47. Let a be 94/(-705)*(-5 - 0). Factor 0 - i*p**4 - 2*p**2 + a*p + 2*p**3.
-2*p*(p - 1)**3/3
Let x = -207 - -4141/20. Let k(o) be the third derivative of 0*o**3 + o**2 + 0*o**6 + 0*o + 0*o**4 - 1/70*o**7 + 0 + x*o**5. Let k(c) = 0. What is c?
-1, 0, 1
Let g(l) = 3*l**2 - 3*l**4 - 6*l + 0*l**4 - l**2. Let c(x) = x**4 - x**2 + 2*x. Let k(z) = 7*c(z) + 2*g(z). Factor k(u).
u*(u - 1)**2*(u + 2)
Let c be 15/10*-2 - -6. Determine m, given that m - 19*m**3 - 3*m**5 + 15*m**4 - 8*m**c + 21*m**2 - 7*m = 0.
0, 1, 2
Suppose 59*v + 15*v = -41*v - 8*v. Let t = 1109/9 - 123. Factor v*l + 2/9*l**2 - t.
2*(l - 1)*(l + 1)/9
Suppose -12/11*z + 32/11 - 2/11*z**2 = 0. Calculate z.
-8, 2
Let w be (99/(-63))/(12/7). Let b = w - -101/84. Factor 0 - 2/7*h**5 - 2/7*h**2 + b*h**4 + 0*h + 2/7*h**3.
-2*h**2*(h - 1)**2*(h + 1)/7
Suppose 0 = 3*h, -u + 15 = -2*h + 7 - 4. Determine z, given that 0 + u*z**4 - 45/4*z**2 - 18*z**3 - 3/2*z = 0.
-1/4, 0, 2
Let o be 6/(-6) + 1 - -8. What is t in -o + 1/3*t**4 - 2*t**2 - 28/3*t + t**3 = 0?
-2, 3
Suppose 2*z = -3*x + 5*x + 14, 33 = 4*z - 5*x. Suppose -t - z + 4 = 0. Find n such that -t*n + 7 + 3 - 10 + 2*n**3 = 0.
-1, 0, 1
Suppose -9 + 38 = -a + 5*s, -45 = 5*a - 5*s. Let c be a/(-3)*(1 + (-4)/(-8)). What is q in -2/3*q + 0 + 1/3*q**c = 0?
0, 2
Suppose -9 = -4*p - 3*r, 3*p + 2*r - 8 = r. Let q(x) be the first derivative of 1 + 1/9*x**p - 1/3*x**2 + 0*x. Factor q(v).
v*(v - 2)/3
Let h(m) be the second derivative of m**6/24 + m**5/6 - 5*m**4/8 + m**2/2 + 14*m. Let y(c) be the first derivative of h(c). Find n, given that y(n) = 0.
-3, 0, 1
Find u such that 5/6*u + 2/3*u**2 - 1/6*u**3 + 0 = 0.
-1, 0, 5
Let b(l) be the second derivative of -l**6/90 + l**5/60 + l**4/6 - 16*l + 1. Factor b(r).
-r**2*(r - 3)*(r + 2)/3
Let s(c) be the third derivative of c**8/84 - 2*c**7/15 + 2*c**6/5 + 16*c**5/15 - 32*c**4/3 + 32*c**3 + 2*c**2 - 94*c. Factor s(q).
4*(q - 3)*(q - 2)**3*(q + 2)
Let i = 131 + -128. Let o(t) be the first derivative of 6 + 0*t + 1/20*t**4 + 2/5*t**i + 9/10*t**2. Let o(l) = 0. Calculate l.
-3, 0
Let r(s) be the third derivative of s**6/30 - 26*s**5/15 - 29*s**4/2 - 31*s**2 - 1. Suppose r(o) = 0. Calculate o.
-3, 0, 29
Let w = -143301/5 + 28661. Suppose w*h**2 - 2/5*h**3 + 0 + 0*h - 4/5*h**4 + 2/5*h**5 = 0. What is h?
-1, 0, 1, 2
Suppose -m - 41 = -5*m + 5*v, 2*m - v = 13. Let x(k) be the third derivative of -1/240*k**5 + 0*k + m*k**2 + 5/48*k**4 - 25/24*k**3 + 0. Factor x(y).
-(y - 5)**2/4
Let p = 829 + -789. Determine l so that 164/3*l**2 + 6*l**4 + 10/3 - p*l**3 - 24*l = 0.
1/3, 1, 5
Let d(s) be the second derivative of -12*s - 1/45*s**6 - 2/15*s**5 + 0 - 4/9*s**3 - 1/3*s**4 - 1/3*s**2. Factor d(b).
-2*(b + 1)**4/3
Let j(f) be the first derivative of -30*f**3 - 6*f**2 - 225/4*f**4 + 4*f + 5. Let u(c) be the first derivative of j(c). Solve u(r) = 0 for r.
-2/15
Let w be (-44649)/6804 + 7 - (-6)/(-14). Let q(s) be the third derivative of 0 + 0*s + w*s**4 + 1/270*s**5 + 7*s**2 - 2/27*s**3. Solve q(u) = 0 for u.
-2, 1
Let c(a) be the first derivative of -a**4/6 + 262*a**3/9 + a**2/3 - 262*a/3 - 905. What is q in c(q) = 0?
-1, 1, 131
Let h(q) be the first derivative of 375*q**5 - 1875*q**4/4 + 225*q**3 - 105*q**2/2 + 6*q - 4. Factor h(s).
3*(5*s - 2)*(5*s - 1)**3
Let g(j) be the third derivative of -j**6/360 + j**5/180 + j**4/8 - j**3/2 + 27*j**2. Factor g(m).
-(m - 3)*(m - 1)*(m + 3)/3
Let t(d) be the third derivative of -d**9/60480 + d**8/5040 - d**7/1260 - 4*d**5/15 + 14*d**2. Let q(x) be the third derivative of t(x). Factor q(i).
-i*(i - 2)**2
Let m(h) be the third derivative of -h**6/200 - h**5/20 + 7*h**4/10 + 16*h**3/5 + 121*h**2. Find b, given that m(b) = 0.
-8, -1, 4
Let f(g) be the first derivative of 2/21*g**6 + 16/35*g**5 + 20 + 5/7*g**4 + 8/21*g**3 + 0*g**2 + 0*g. Let f(a) = 0. What is a?
-2, -1, 0
Let p be 18/4*(-2080)/(-32760). Determine r, given that -2/7*r**3 + p*r + 6/7 - 6/7*r**2 = 0.
-3, -1, 1
Let w = 21691 + -21689. Find m, given that m - 1/3*m**w + 0 = 0.
0, 3
Factor 7*w**4 + 48*w**2 + 136*w**2 - 244*w - 5*w**4 + 21*w**3 - 65*w**3 + 102.
2*(w - 17)*(w - 3)*(w - 1)**2
Let o be (-3)/(-15)*(-15)/(-120). Let p(a) be the third derivative of 0 + o*a**5 + 4*a**3 + 1/2*a**4 + 0*a + 8*a**2. Factor p(q).
3*(q + 4)**2/2
Factor 48/11*t + 576/11 + 1/11*t**2.
(t + 24)**2/11
Let w = -1150 - -10352/9. Factor -2/3*u**2 + 4/9*u + 0 + w*u**3.
2*u*(u - 2)*(u - 1)/9
Let f(m) = -34*m + 170. Let j be f(5). Let b(a) be the second derivative of 1/90*a**6 + 6*a - 2/9*a**3 + j - 1/15*a**5 + 1/6*a**4 + 1/6*a**2. Factor b(z).
(z - 1)**4/3
Find m such that -25*m**3 - 21*m**2 - 19*m**3 + 75*m**3 - 10*m**3 - 6*m**4 + 6*m = 0.
0, 1/2, 1, 2
Let y(f) be the second derivative of f**4/12 + f**3/3 - 4*f**2 - 31*f. Factor y(h).
(h - 2)*(h + 4)
Let a be 6 - (2041/117 + -12). Factor -1/3*k - a*k**2 + 11/9*k**3 - 1/3*k**4 + 0.
-k*(k - 3)*(k - 1)*(3*k + 1)/9
Suppose 7*t = 6*t + 3. Let r be -4 + 4 + (t/2 - 1). Determine u so that -2*u**2 - 1 + r*u**3 + 5/2*u = 0.
1, 2
Let f(o) be the first derivative of -4*o**3/21 + 10*o**2/7 + 24*o/7 + 716. Factor f(v).
-4*(v - 6)*(v + 1)/7
Let f(m) = m + 11. Let k be f(-3). Solve 0*c**2 - 64 - k*c + 24*c - c**2 = 0.
8
Suppose 5*m + 3*q - 18 + 6 = 0, -5*q + 7 = 4*m. Factor 11*k**3 - 4*k**4 + 24*k**3 - 23*k**m - 8*k**2.
-4*k**2*(k - 2)*(k - 1)
Let o(n) = -n**2 + 4*n + 9. Let f(h) = h**2 - 5*h - 10. Let a(w) = 6*f(w) + 7*o(w). Let c be a(-3). Factor c*k + 8*k**3 + 3*k - 11*k**3 - 3 + 3*k**2.
-3*(k - 1)**2*(k + 1)
Let x(o) be the first derivative of -3/56*o**4 + 0*o**5 - 5 + 1/7*o**3 + 1/280*o**6 - 3*o**2 + 0*o. Let k(f) be the second derivative of x(f). Factor k(b).
3*(b - 1)**2*(b + 2)/7
Let f(v) be the second derivative of -8/9*v**3 - 5/18*v**4 + 0 + 47*v - 1/30*v**5 - 4/3*v**2. What is x in f(x) = 0?
-2, -1
Let w(c) be the first derivative of c**6/2 + 6*c**5/5 - 9*c**4/4 - 8*c**3 - 6*c**2 - 134. Suppose w(j) = 0. Calculate j.
-2, -1, 0, 2
Let z = 493 - 752. Let x be 2/(-12) + z/(-42). Solve -2*n**2 - 4*n - 1 + 5 - x = 0.
-1
Let n = 5583 + -61411/11. Factor -2/11*c**5 + 0*c + 0 + 0*c**2 + n*c**3 + 0*c**4.
-2*c**3*(c - 1)*(c + 1)/11
Let g = 126 + -8. Determine w so that 43*w**2 + 320 - 5*w**3 - g*w**2 + 593*w - 833*w = 0.
-8, 1
Let i = 2969/5115 + 20/1023. Factor i*b + 3/5*b**2 + 1/5 + 1/5*b**3.
(b + 1)**3/5
Let n(r) be the third derivative of -r**7/5880 + r**6/560 + r**5/70 - r**4/6 - 10*r**2. Let v(w) be the second derivative of n(w). Factor v(s).
-3*(s - 4)*(s + 1)/7
Suppose 10/3*j**3 + 62/9*j**2 - 22/9*j**4 + 16/3 - 2/9*j**5 - 116/9*j = 0. What is j?
-12, -2, 1
Let s(b) = -2*b**2 - 32*b - 101. Let p be s(-5). Suppose 3*n = -2*n + 15. Determine w so that -4*w - n*w**2 - p + w + 9 = 0.
-1, 0
Let i(w) = 6*w - 43. Let r be i(7). Let q(c) = -13*c - 11. Let u be q(r). Determine v so that 0 - 2/5*v**3 + 4/5*v**u + 0*v = 0.
0, 2
Let g(k) be the third derivative of -k**8/672 + k**7/84 - k**6/40 - k**5/30 + k**4/6 + 4*k**2 + 6. Solve g(l) = 0 for l.
-1, 0, 2
Suppose 3*h + 4*p - 26 = 0, 5*p - 15 = 2*p. Let z(n) be the second derivative of 0 - 1/21*n**3 + 1/70*n**5 + 1/7*n**h - 9*n - 1/42*n**4. Solve z(m) = 0.
-1, 1
Suppose -3*l + 1587 = -3*g - 0*g, 0 = -4*l - 5*g + 2107. Let i be 2/(-6) + 572/l. Solve 0 - i*s - 3/2*s**3 - 9/4*s**2 = 0.
-1, -1/2, 0
Suppose 5*v - 6*v + 19 = 5*q, 3*q + 2*v = 17. Solve 24*y**q + 9*y**4 + 19*y + 20*y - 45*y + 9*y**2 = 0 for y.
-2, -1, 0, 1/3
Let z(i) be the second derivative of 37*i + 0 - 4*i**2 + 7/3*i**3 - 1/10*i**5 - 1/3*i**4. Find a, given that z(a) = 0.
-4, 1
Let j be (24/(-18))/((-4)/6). Suppose -3 + j - 1 + 3*f + 0*f - f**2 = 0. What is f?
1, 2
Let m be 964*5/40 - 8. Let c(s) be the first derivative of -375*s - 15*s**3 - m*s**2 - 3/4*s**4 - 4. Determine t so that c(t) = 0.
-5
Let m = 354 - 499. Let b = -142 - m. Solve -24 + 3/2*o**5 + 0*o - 9/2*o**4 - 6*o**b + 24*o**2 = 0 for o.
-2, -1, 2
Let 1/2*c - 2 - 1/4*c**5 - 1/4*c**3