 Suppose 4/19 - 8/19*m**3 - z*m**4 + 4/19*m**2 + 10/19*m - o*m**5 = 0. Calculate m.
-2, -1, 1
Solve 7128 + 2/11*j**2 - 72*j = 0.
198
Let b be 17/(-15) + 1 + (-4568)/(-60). Let d = -226/3 + b. Let -2/3*r - d*r**2 + 0 = 0. What is r?
-1, 0
Suppose -252 = -14*v - 0*v. Find a, given that -22*a + 15 + 3*a**2 - 18*a - v*a + 40*a = 0.
1, 5
Suppose -5*a - 9 = 6, 12 = 3*q - 4*a. Suppose p = 4*n + 1 + 3, -4*p + 16 = 4*n. Factor 5*v**3 - v**3 + q*v**3 - v**2 + 4*v**p - 7*v**2.
4*v**2*(v - 1)*(v + 2)
Suppose -4*o - 4*o + 240 = 0. Let h be (-3)/(-30) + 12/o. Factor -h*u**3 + 0*u + 2 - 3/2*u**2.
-(u - 1)*(u + 2)**2/2
Let h(u) be the third derivative of -1/1680*u**8 + 0*u + 0 + 1/100*u**6 - 2/525*u**7 + 1/75*u**5 + 8*u**2 - 1/24*u**4 + 0*u**3. What is o in h(o) = 0?
-5, -1, 0, 1
Solve 2/11*w**4 + 96/11*w**2 + 0 + 24/11*w**3 + 128/11*w = 0.
-4, 0
Let m(w) be the third derivative of w**7/105 + 97*w**6/60 - 99*w**5/10 + 299*w**4/12 - 100*w**3/3 + 5*w**2 - 18*w. Factor m(o).
2*(o - 1)**3*(o + 100)
Suppose w = 2, -7*g + 3 = 2*w - 1. Factor 0 - 4*f**2 + 8/3*f + 4/3*f**4 + g*f**3.
4*f*(f - 1)**2*(f + 2)/3
Factor 1/4*m**4 - 1/2*m**2 + 1/4*m + 1/4 - 1/2*m**3 + 1/4*m**5.
(m - 1)**2*(m + 1)**3/4
Let b be (-252)/(-294)*(-14)/(-18). Let r(o) be the second derivative of 4*o**2 - 1/5*o**5 - b*o**4 - 10*o + 0 + 2/3*o**3. Factor r(d).
-4*(d - 1)*(d + 1)*(d + 2)
Let h(t) be the first derivative of -3*t**5/50 + 7*t**4/15 - 4*t**3/3 + 8*t**2/5 + 11*t - 12. Let s(y) be the first derivative of h(y). Solve s(j) = 0.
2/3, 2
Let m(s) be the first derivative of -s**6/6 - s**5/5 + s**4/4 + s**3/3 - 26. Let m(j) = 0. What is j?
-1, 0, 1
Let t be 5/(-7) + 1 - 2895/(-1351) - 2. Find u such that -t*u**2 + 0 + 3/7*u**4 + 0*u**3 + 0*u = 0.
-1, 0, 1
Let x(z) = -52*z**2. Let w(l) = 8*l**2. Let n(a) = 32*w(a) + 5*x(a). Determine d so that n(d) = 0.
0
Let z(h) be the second derivative of -h**5/20 + h**4/3 + 3*h + 5. Solve z(n) = 0.
0, 4
Let s(t) be the first derivative of -t**6/21 + 18*t**5/35 - 3*t**4/14 - 146*t**3/21 - 96*t**2/7 - 72*t/7 + 73. Find k such that s(k) = 0.
-1, 6
Let g(m) be the second derivative of m**6/40 - 3*m**4/8 + m**3 + 7*m**2 + 21*m. Let o(v) be the first derivative of g(v). Let o(z) = 0. What is z?
-2, 1
Let c(g) be the third derivative of -g**9/1260 + g**8/840 + g**7/630 - 5*g**4/12 - 13*g**2. Let z(d) be the second derivative of c(d). Factor z(u).
-4*u**2*(u - 1)*(3*u + 1)
Let x = 6501/5 + -1297. Suppose 0 + 4/5*i**3 + 12/5*i - x*i**2 = 0. Calculate i.
0, 1, 3
Factor 0 + 14/9*s**2 - 4/3*s - 2/9*s**3.
-2*s*(s - 6)*(s - 1)/9
Let y(v) be the third derivative of v**5/390 - 20*v**4/39 + 1600*v**3/39 - 97*v**2. Factor y(z).
2*(z - 40)**2/13
Let f = 16 + -17. Let g(m) be the third derivative of m**3/6 + 3*m**2. Let t(o) = 3*o**2 + 12*o + 16. Let p(k) = f*t(k) + 4*g(k). Solve p(b) = 0 for b.
-2
Factor 48/5*m + 0 + 0*m**2 - 3/5*m**3.
-3*m*(m - 4)*(m + 4)/5
Let v(y) be the first derivative of -8/5*y - 4/5*y**2 + 15 - 2/15*y**3. Factor v(r).
-2*(r + 2)**2/5
Factor 35*n**4 - 35*n**2 + 941532 - 165*n**3 + 165*n - 941532.
5*n*(n - 1)*(n + 1)*(7*n - 33)
Let g(w) be the first derivative of -1/2*w**4 - 12 + w**2 - 2/3*w**3 + 2*w. Find q such that g(q) = 0.
-1, 1
Let y(f) be the first derivative of 1/4*f**4 + 3*f + 2/5*f**5 + 11 - 1/2*f**2 - 5/3*f**3. Find l such that y(l) = 0.
-3/2, -1, 1
Let k = 3 + -1. Suppose 0 = -10*o + o + 72. Factor -16/3 - 4*y**k - o*y - 2/3*y**3.
-2*(y + 2)**3/3
Suppose 151 - 343 = -253*z + 314. Find j, given that 0 + 5/2*j**z - 5/2*j = 0.
0, 1
Let l(b) = b**3 - b**2 + b + 2. Let n be l(0). Find g, given that g**3 - 9*g**2 + 3*g**n + 4*g + g**3 = 0.
0, 1, 2
Let k = 410/581 + 60/83. Determine b, given that k*b**2 + 6/7 - 2*b - 2/7*b**3 = 0.
1, 3
Let n = -213 - -16615/78. Let g = 151/390 + n. What is l in -g - 32/5*l**2 - 16/5*l = 0?
-1/4
Suppose -7*b + 3*b + 16 = 0. Suppose -b = -12*p + 20. Factor 0 + 2/11*r**5 + 4/11*r**4 - 4/11*r**p - 2/11*r + 0*r**3.
2*r*(r - 1)*(r + 1)**3/11
Let j(h) be the third derivative of 8*h**7/315 - 23*h**6/45 - 19*h**5/36 - h**4/6 - 289*h**2. Solve j(x) = 0.
-1/4, 0, 12
Let c = 41072/5 + -8214. Suppose -2/5*h**2 + 0 + 0*h + 0*h**3 + c*h**4 = 0. Calculate h.
-1, 0, 1
Factor -12 + 7/2*h**2 + 13/2*h.
(h + 3)*(7*h - 8)/2
Let v(t) be the second derivative of 3/20*t**6 + 0*t**3 + 12*t - 9/40*t**5 - 1/28*t**7 + 0 + 0*t**2 + 1/8*t**4. Find u, given that v(u) = 0.
0, 1
Suppose 3 = -a, -46 = q + a + 2. Let t be (36/q)/(6/(-5)). Factor 0*r**3 - 4/3*r**2 + 0*r + 2/3 + t*r**4.
2*(r - 1)**2*(r + 1)**2/3
Let u = 33 + -28. Let 4*d**3 + 4*d**3 - 12*d**3 - 16*d**u - 20*d**4 = 0. What is d?
-1, -1/4, 0
Let a(w) = w**2 - 40*w + 319. Let z be a(11). Find v such that 0*v - 1/4*v**4 + 1/4*v**5 + z*v**2 + 0 + 0*v**3 = 0.
0, 1
Let n(y) = -3*y**2 - 34*y - 42. Let r(u) = -u**2 - 11*u - 14. Let p(a) = -4*n(a) + 14*r(a). Factor p(q).
-2*(q + 2)*(q + 7)
Let o(l) be the second derivative of 3*l**7/14 - l**6/5 - 27*l**5/20 + 2*l**3 - 56*l. Suppose o(t) = 0. Calculate t.
-1, 0, 2/3, 2
What is d in 2/5*d**2 + 72/5*d + 136/5 = 0?
-34, -2
Let h(x) be the first derivative of -4/3*x**3 + 5 + 4*x**2 + 0*x. Solve h(o) = 0 for o.
0, 2
Let i(h) be the third derivative of h**6/600 - h**5/150 - 19*h**4/120 + 2*h**3/3 - 4*h**2 - 14*h. Factor i(l).
(l - 5)*(l - 1)*(l + 4)/5
Let f be -3*((2 - 1) + 29 + -31). Let l(o) be the first derivative of -1/22*o**4 + 1/11*o**2 + 0*o**f + 0*o - 6. Solve l(s) = 0 for s.
-1, 0, 1
Let z(j) be the first derivative of -1/2*j**4 - 1/4*j**2 + 41 + 5/12*j**6 + j - 5/3*j**3 + 4/5*j**5. Find m such that z(m) = 0.
-1, 2/5, 1
Suppose -2*i + 5*m = 3*i, 12 = -i + 5*m. Suppose 3 = -i*s + 12. Factor 6*r**2 + s*r**2 - 11*r**2 + 2*r - 2*r**3 + 5 - 3.
-2*(r - 1)*(r + 1)**2
Suppose 14 = 4*z + 2. Let m be 0/4 - (0 + -3). Factor 4*y**5 + 0*y**3 - 9*y**5 - m*y**z + 3*y**4 + 11*y**5.
3*y**3*(y + 1)*(2*y - 1)
Let m(u) be the second derivative of -u**5/100 - 5*u**4/12 - 34*u**3/15 - 22*u**2/5 + 85*u + 1. Factor m(i).
-(i + 1)*(i + 2)*(i + 22)/5
Let p = 1/6458 + 12913/19374. Factor -2/3*z**3 + 0 - 4/3*z**2 - p*z.
-2*z*(z + 1)**2/3
Let x be 81/12 - (-7)/28. Suppose 14 = -0*q + x*q. Solve 1/2*w**q + 0 - 1/4*w + 1/4*w**5 - 1/2*w**4 + 0*w**3 = 0.
-1, 0, 1
Suppose 3/11*s**5 + 68/11*s**3 + 32/11*s**4 + 32/11*s**2 + 0*s + 0 = 0. What is s?
-8, -2, -2/3, 0
Let q(a) be the first derivative of -8/13*a + 3 - 2/39*a**3 + 5/13*a**2. Factor q(s).
-2*(s - 4)*(s - 1)/13
Suppose p + 9*p + 16*p = 0. Let g(m) be the third derivative of 0*m**4 + 0 + 0*m**3 + 2*m**2 + 1/40*m**6 + p*m + 0*m**5. Find u, given that g(u) = 0.
0
Let o(x) be the third derivative of x**7/105 + x**6/20 - x**5/10 - 11*x**4/12 - 2*x**3 + 58*x**2. Suppose o(j) = 0. Calculate j.
-3, -1, 2
Let u(k) be the second derivative of k**9/35280 + 3*k**8/7840 + k**7/1176 - k**4/6 - 6*k. Let j(n) be the third derivative of u(n). What is l in j(l) = 0?
-5, -1, 0
Let u(r) be the first derivative of -r**6/4 - 6*r**5/5 + 3*r**4/8 + 2*r**3 - 115. Find o such that u(o) = 0.
-4, -1, 0, 1
Let g(x) be the first derivative of -1/3*x**3 + 9 + 2*x - 1/2*x**2. Factor g(s).
-(s - 1)*(s + 2)
Let n(k) be the third derivative of k**2 - 1/540*k**5 + 0*k - 2/27*k**3 + 0 - 1/54*k**4. Solve n(a) = 0.
-2
Let p(d) = -4*d**4 - 4*d**3 + 8*d**2 - 14. Let s(k) = 2*k**4 + 2*k**3 - 4*k**2 + 8. Let c(t) = -4*p(t) - 7*s(t). Factor c(i).
2*i**2*(i - 1)*(i + 2)
Let l(m) = m**2 - 25*m + 86. Let q be l(21). Factor -25/3*j + 5/6*j**q + 125/6.
5*(j - 5)**2/6
Let b be (-506)/7 + (-6)/(-21) + 0. Let i be ((-4)/b*-3)/((-1)/4). Factor 0 + 2/3*q**2 + i*q.
2*q*(q + 1)/3
Let f(l) be the third derivative of -2/105*l**7 + 0*l**4 + 1/168*l**8 + 1/15*l**5 + 0*l + 0*l**3 + 13*l**2 + 0 - 1/60*l**6. Factor f(y).
2*y**2*(y - 2)*(y - 1)*(y + 1)
Suppose -9 = -4*l + 7. Let q be -2*3/(-6)*(15 - 13). What is s in 4*s**2 + 124 - q*s**2 + l*s - 130 = 0?
-3, 1
Let c(y) be the third derivative of 0*y**3 + 0 + 2/35*y**7 + 0*y + 1/10*y**5 + 0*y**4 + 1/8*y**6 + 1/112*y**8 + 36*y**2. Determine p so that c(p) = 0.
-2, -1, 0
Suppose -z - 6 + 23 = 4*l, 3*z + 3*l - 24 = 0. Suppose -z*g + 4*s + 40 = 0, -g - 3 = s - 2. Factor 6 + 2*i**2 - 4 - 2*i**3 - 2*i + g*i - 4.
-2*(i - 1)**2*(i + 1)
Let q(a) be the third derivative of a**6/60 + 17*a**5/30 + 55*a**4/12 + 13*a**3 + 383*a**2. Find l such th