*2/8
Let q = -2797 - -2802. What is d in 25*d**3 + 0 + 5/3*d + 35/3*d**2 + 65/3*d**4 + 20/3*d**q = 0?
-1, -1/4, 0
Factor -239*z**2 - 20*z**3 + 432 - 3*z**4 - 79*z**2 - 44*z**3 - 311 + 264*z.
-(z - 1)*(z + 11)**2*(3*z + 1)
Suppose -168*v - 84/19*v**3 + 152 + 1034/19*v**2 + 2/19*v**4 = 0. Calculate v.
2, 19
Factor 126*y + 150*y - 190 + 88*y**3 - 93*y**3 + 49*y - 80*y**2 - 50*y.
-5*(y - 2)*(y - 1)*(y + 19)
Let k = -33797 - -33800. Factor -k - 15/4*x - 3/4*x**2.
-3*(x + 1)*(x + 4)/4
Suppose -3*b - 6 = -12. Let i(l) be the second derivative of -3/2*l**3 - 3/20*l**5 - 3/4*l**4 + 0 + 4*l - 3/2*l**b. Factor i(g).
-3*(g + 1)**3
Let 0 + 0*v + 1/3*v**4 - 1/6*v**2 + 1/6*v**3 = 0. Calculate v.
-1, 0, 1/2
Let u(b) be the third derivative of 0 - 5/6*b**4 + 0*b - 4/3*b**3 - 14*b**2 + 7/15*b**5. Factor u(w).
4*(w - 1)*(7*w + 2)
Let m(s) be the third derivative of 0*s**4 - 12*s**2 + 0*s**3 + 1/420*s**5 + 0 + 0*s. Factor m(d).
d**2/7
Suppose 0 = 2*c + 4 - 0, -2*c = -2*z. Let j be (1/(-4 - -1 - z))/(-3). Factor -v**2 - 1/3 + j*v**3 + v.
(v - 1)**3/3
Suppose 96*k - 196*k = -200. Factor -1/4*v + 1/2 - 1/4*v**k.
-(v - 1)*(v + 2)/4
Let v(g) = 6*g**2 + 230*g + 2647. Let n(r) = r**2 + 2. Let q(y) = n(y) - v(y). Find s, given that q(s) = 0.
-23
Let x = -23 + 25. Let p be x/10 + 26/(-130). Let -2/9*s**3 + 0*s + 2/9*s**2 + p = 0. Calculate s.
0, 1
Let x be ((-20)/(-25))/((-28)/(-21) + 0). Let i(h) be the second derivative of -1/30*h**4 + 0 - x*h**2 + 4/15*h**3 - 4*h. What is j in i(j) = 0?
1, 3
Let a(i) be the second derivative of i**6/10 - 43*i**5/60 + 53*i**4/36 - 13*i**3/18 - i**2 + 115*i. Suppose a(m) = 0. Calculate m.
-2/9, 1, 3
Let b = 2800 - 2798. Find c, given that 4/3*c**b - 2/3 + 2/3*c = 0.
-1, 1/2
Suppose -g - 1 + 3 = 0. Suppose v + 1 - g = 0. Let -3 + m - 7*m + 3*m**2 + v - 7 = 0. Calculate m.
-1, 3
Let o be 3*(-3)/90 + 2 + 2416/(-1440). Let 0*w**3 - 2/9*w**5 + 4/9*w**4 + 0 - 4/9*w**2 + o*w = 0. Calculate w.
-1, 0, 1
Suppose 0 = 3*v + 4*u + 1, -2 = 4*v - 6*v - 2*u. Let q(h) be the second derivative of 0 + 6*h**2 + 6*h + 1/5*h**v - 10/3*h**3 + 1/3*h**4. Factor q(n).
4*(n - 1)**2*(n + 3)
Let c = -31472/5 - -6295. Factor c*v**2 - 9/5*v - 12/5.
3*(v - 4)*(v + 1)/5
Let i(a) = a**3 - 6*a - 4. Let y be i(3). Let s(r) = -r + 11. Let d be s(y). Factor 0*b - 5*b**2 - b + d*b**2.
b*(b - 1)
Let c(j) = 29*j**2 - 283*j - 69. Let y be c(10). Solve -y + u**3 - 5/2*u - 1/2*u**2 = 0.
-1, -1/2, 2
Let s = 33 - 41. Let v be 2 - s/6 - (-3)/(-9). Solve -1/4*o + 1/2*o**2 + 0 - 1/4*o**v = 0 for o.
0, 1
Let y be (0 + -8 + 0)*((-21895)/(-406) - 54). Let -4/7*q - y*q**2 + 4/7*q**3 + 4/7 = 0. What is q?
-1, 1
Let z = -2969/10 - -297. Let f(y) be the first derivative of 1 + 0*y - z*y**5 - 1/8*y**4 + 1/4*y**2 + 1/6*y**3. Factor f(q).
-q*(q - 1)*(q + 1)**2/2
Let j(k) be the second derivative of -9*k**7/14 + 61*k**6/10 - 147*k**5/20 - 149*k**4/4 - 15*k**3 + 745*k. What is d in j(d) = 0?
-1, -2/9, 0, 3, 5
Let n(c) be the third derivative of -c**7/42 + c**6/4 - c**5 + 25*c**4/12 - 5*c**3/2 - 722*c**2. Suppose n(q) = 0. What is q?
1, 3
Let j(r) be the third derivative of -r**7/210 - r**6/60 + r**5/60 + r**4/12 - 58*r**2. Suppose j(u) = 0. What is u?
-2, -1, 0, 1
Let s(v) be the first derivative of 0*v - 10/9*v**6 - 10 - 35/9*v**3 + 8/3*v**5 + 5/3*v**2 + 5/4*v**4. Let s(n) = 0. Calculate n.
-1, 0, 1/2, 2
Let n = 16 + -14. Determine j so that 0*j**2 - 9*j**3 + 4*j**3 - 2*j**2 + 7*j**n = 0.
0, 1
Suppose 7 - 2 = -4*u + 5*z, -5*u + z + 20 = 0. Factor 4*t**4 + 5*t**u - 222*t**2 - 12*t**3 + 8*t - t**5 + 218*t**2.
4*t*(t - 1)**2*(t + 1)*(t + 2)
Suppose -18 = -5*k + 2*u, -2*k - k - 3*u - 6 = 0. Let t(v) = 4*v + 139. Let x be t(-31). Factor 34*b**3 - 11*b**k - 164*b**2 - 12 + x*b**3 + 88*b.
(b - 3)*(7*b - 2)**2
Let v(c) be the second derivative of c**5/20 - 2*c**4 + 22*c**3/3 + 48*c - 2. Factor v(l).
l*(l - 22)*(l - 2)
Let n be (-27)/2*4/(-6). Let b be (-3)/((-2)/(12/n)). Factor -111*y**3 + 2 + 106*y**3 - 5*y**b + 5*y - 3 + 6.
-5*(y - 1)*(y + 1)**2
Let c(m) be the first derivative of -2*m**5/35 + m**4/14 + 10*m**3/21 + 3*m**2/7 - 32. Factor c(q).
-2*q*(q - 3)*(q + 1)**2/7
Let d(w) be the third derivative of -56*w**5/15 - 19*w**4/2 - 2*w**3/3 + 648*w**2. Solve d(o) = 0.
-1, -1/56
Suppose 3*m = -4*d + 17, 4*m - 3 = -4*d + 17. Find w such that 8*w**2 - 24*w**4 - 3*w - 3 + 15*w**3 + 30*w**4 + w**d = 0.
-1, 1/2
Let o(m) = -21*m + 23. Let q be o(-10). Let t = -1161/5 + q. Let -14/5*y**3 + 0 + 18/5*y**5 + 22/5*y**4 - t*y - 22/5*y**2 = 0. What is y?
-1, -2/9, 0, 1
Suppose 1729 - 1733 = -k. Factor 0*l**3 + 4/7*l**k + 4/7 - 8/7*l**2 + 0*l.
4*(l - 1)**2*(l + 1)**2/7
Let -64/3*c - 80/3*c**2 + 5/3*c**5 + 19/3*c**4 + 16/3 - 4/3*c**3 = 0. What is c?
-2, 1/5, 2
Let q be (-14)/(-432)*69/115. Let k(r) be the third derivative of 3*r**2 + 1/72*r**6 - 1/36*r**4 - 1/420*r**7 + 1/9*r**3 + 0*r + 0 - q*r**5. Solve k(j) = 0.
-2/3, 1, 2
Suppose 240/19*z**2 + 36/19*z**3 + 700/19*z + 750/19 + 2/19*z**4 = 0. What is z?
-5, -3
Suppose -o + 7 = 3*x, 0 = -3*o - 4*x + 46 - 10. Suppose 0*g - 4*l = -2*g + o, -l = 3*g - 3. Factor 1/4 + 1/4*s**g + 1/2*s.
(s + 1)**2/4
Suppose 0*b + 15 = 5*b, 5*b = 5*r + 105. Let q be (69/(-99) - -1)*r/(-15). Factor -2/11*o**5 + q*o**2 - 2/11 - 2/11*o + 4/11*o**3 - 2/11*o**4.
-2*(o - 1)**2*(o + 1)**3/11
Let f(w) = 124*w**2 + 5*w - 1. Let g be f(2). Let -505*p**2 + g*p**2 - 5*p**3 = 0. What is p?
0
Let r(q) be the third derivative of 0*q + 0*q**3 + 1/540*q**6 + 0*q**4 + 1/270*q**5 + 0 - q**2. Let r(v) = 0. What is v?
-1, 0
Let 0*p**3 + 0 - 4*p**2 + 4/3*p**4 - 8/3*p = 0. What is p?
-1, 0, 2
Let z be (1 - -1) + -3 - -7. Suppose 2*b + 0*b = z*b. Factor b + 3/4*u + 3*u**3 + 15/4*u**2.
3*u*(u + 1)*(4*u + 1)/4
Find f such that -24*f + 14 - 4*f**2 - 1123*f**5 + 1121*f**5 - 10*f**4 + 28*f**3 - 2*f = 0.
-7, -1, 1
Let y(w) be the third derivative of w**7/630 + w**6/9 + 10*w**5/3 - 29*w**4/24 - 22*w**2. Let j(q) be the second derivative of y(q). Factor j(r).
4*(r + 10)**2
Let f = 4176 + -4173. Factor 2/17*u**2 + 0*u + 2/17*u**f + 0.
2*u**2*(u + 1)/17
Let s(z) be the first derivative of -2*z**3/27 - 11*z**2/9 + 68*z/3 + 129. Solve s(v) = 0.
-17, 6
Let s be ((20/(-42))/(-5))/(78/364). Solve -2/9*o**2 + 2/9*o + s = 0 for o.
-1, 2
Let p(s) = 5*s**2 + 3*s + 3. Let d be p(-2). Let v = d - 103/7. Factor -v*a + 64/7*a**2 + 1/7.
(8*a - 1)**2/7
Let j = 15 + -4. Let l = 5 - 3. Factor -f**4 - 13*f**2 - j*f**l + 10*f**3 - 2*f**3 + 32*f - 16.
-(f - 2)**4
Factor 4/7*m**2 - 16/7 + 8/7*m - 2/7*m**3.
-2*(m - 2)**2*(m + 2)/7
Let t(u) be the third derivative of -u**5/120 - u**4/3 + 17*u**3/12 - 455*u**2. Suppose t(i) = 0. What is i?
-17, 1
Let v(x) = 6*x**2 - 5*x + 3. Let z be v(1). Let s be -2 + 0 - 1*-5. Factor -2*p**4 + 7*p**4 + 30*p**2 + 0*p**z - 20*p**s - 20*p + 5.
5*(p - 1)**4
Suppose -10/7 + f - 1/7*f**2 = 0. What is f?
2, 5
Let x = 51 + -36. Factor -25 - x*i**3 + 11*i**3 + 36*i + 5 - 12*i**2.
-4*(i - 1)**2*(i + 5)
Let a(d) be the second derivative of d**5/120 + 7*d**4/72 + 11*d**3/36 + 5*d**2/12 - 102*d + 2. Find z, given that a(z) = 0.
-5, -1
Let x(u) = u**2. Let r(z) = -z**2 - z - 2. Let q(c) = -c**2 + 22*c + 24. Let h be q(23). Let j = -3 - -5. Let d(s) = h*r(s) + j*x(s). Find i such that d(i) = 0.
-1, 2
Let b(f) = f**3 + 8*f**2 + 6*f - 2. Let i be b(-7). Suppose 0*c - 10 = -i*c. Factor n + 2*n + 3*n**c - 1 + 1.
3*n*(n + 1)
Let n(q) be the first derivative of -q**4/8 - 7*q**3/2 - 147*q**2/4 - 13*q - 33. Let h(g) be the first derivative of n(g). Find p such that h(p) = 0.
-7
Determine j so that -6*j**3 + 7*j**3 + 6*j**2 - 32*j + 16*j = 0.
-8, 0, 2
Let m(c) be the first derivative of -4*c**5/5 + 18*c**4 - 60*c**3 - 610. Factor m(b).
-4*b**2*(b - 15)*(b - 3)
Let w = -119 - -94. Let t be ((-6)/(-15))/((-14)/w). Factor -4/7*m**2 + t*m + 1/7*m**3 - 2/7.
(m - 2)*(m - 1)**2/7
Let y(h) be the third derivative of -2/15*h**5 - 1/12*h**4 + 0*h**3 + 17*h**2 - 1/168*h**8 - 4/105*h**7 - 1/10*h**6 + 0 + 0*h. Suppose y(b) = 0. What is b?
-1, 0
Let w(j) be the third derivative of -2/105*j**5 - 1/42*j**4 + 0 + 26*j**2 + 0*j + 1/210*j**6 + 4/21*j**3. Factor w(t).
4*(t - 2)*(t - 1)*(t + 1)/7
Let q(u) be the first derivative of -u**5/510 - 9*u**2/2 + 24. Let k(v) be the second derivative of q(v). Factor k(r).
-2*r**2/17
Let c = 1185 - 1185. Let -6/