. Let u(g) = 4*c(g) - p(g). Find r such that u(r) = 0.
-5, 0, 1/3, 1
Let y(b) = b**3 + 28*b**2 - b - 7. Let c be y(-28). Suppose 27 = 2*o + c. Determine p, given that -4/3 + 0*p**2 - 2*p + 2/3*p**o = 0.
-1, 2
Let r(p) = 11*p**3 - p + 1. Let w be r(1). Suppose 2*d + 5 = w. Find x such that -8*x**2 + 4*x**5 + 4*x - 10*x**d + 4*x**4 + 0*x**4 + 4 + 2*x**3 + 0 = 0.
-1, 1
Find a such that -376*a**2 + 2*a**4 + 1058*a**5 + 22*a**4 - 485*a**3 - 898*a**4 - 1807*a**3 - 16*a = 0.
-1, -2/23, 0, 2
Let q(v) be the third derivative of 1/3*v**4 - 1/15*v**5 + 0*v - 13*v**2 + 0*v**3 + 0. Factor q(g).
-4*g*(g - 2)
Factor 1/2*w**3 + 1/2*w**2 + 35/2 - 37/2*w.
(w - 5)*(w - 1)*(w + 7)/2
Let a(l) be the first derivative of 3/4*l**4 + 2 + 9/2*l - 3*l**2 - 5/2*l**3. Suppose a(k) = 0. What is k?
-1, 1/2, 3
Let p(n) = 709*n**2 + 2393*n + 1944. Let h(m) = 118*m**2 + 399*m + 324. Let z(g) = -34*h(g) + 6*p(g). Suppose z(v) = 0. Calculate v.
-18/11
Suppose 0 = 3*j + j - 36. Suppose -2*z = z - j. Solve -2*c**2 - 4*c - 2*c**5 + 1 + 4*c**z + 2*c - 4 + 4 + c**4 = 0.
-1, 1/2, 1
Let k(h) be the third derivative of -h**9/15120 + h**8/5040 + h**5/10 + 3*h**2. Let o(m) be the third derivative of k(m). Solve o(x) = 0.
0, 1
Let -26*m + 7*m**3 + 482*m - 2*m**3 + 804*m - 150*m**2 - 1960 = 0. Calculate m.
2, 14
Let k(j) be the first derivative of -j**4/8 + 11*j**3/6 - 7*j**2 - 83. Suppose k(c) = 0. What is c?
0, 4, 7
Suppose -v - 4*l + 10 - 8 = 0, 0 = 5*v + 3*l - 61. Suppose -10*r = -v*r. Determine s, given that 0*s**3 + 0 + r*s + 0*s**2 - 1/4*s**4 = 0.
0
Factor -207*z**2 + 70*z**4 - 198*z - 300 - 42*z**3 - 222*z - 73*z**4.
-3*(z + 2)**2*(z + 5)**2
Let y(q) be the first derivative of -q**2/2 - 20*q + 40. Let o be y(-20). Let b - 3*b**2 - 9/4*b**3 + 7/4*b**4 + o = 0. Calculate b.
-1, 0, 2/7, 2
Let g(k) be the second derivative of -k**6/20 + 3*k**5/5 - 7*k**4/8 + k + 85. Factor g(h).
-3*h**2*(h - 7)*(h - 1)/2
Let u be (10/90*0)/(-1). Let c(z) be the third derivative of u*z + 0*z**5 + 3*z**2 - 1/24*z**6 + 0 + 0*z**4 + 0*z**3. Factor c(g).
-5*g**3
Let h(p) be the third derivative of p**5/90 - 5*p**4/36 + 2*p**3/3 - 28*p**2 + p. Solve h(t) = 0.
2, 3
Let y(n) = n**2 + 22*n + 126. Let v(a) = 3 - 7 + 1 + 4. Let q(i) = 15*v(i) - 3*y(i). Determine g, given that q(g) = 0.
-11
Suppose -137*c = -135*c. Let w(h) be the second derivative of -1/10*h**5 + c*h**2 - 5*h + 1/42*h**7 + 0*h**6 + 0 + 1/6*h**3 + 0*h**4. Factor w(x).
x*(x - 1)**2*(x + 1)**2
Let u = -680 - -2051/3. Suppose u*i**2 + 1/3*i + 11/3*i**3 - 2/3 + i**4 = 0. Calculate i.
-2, -1, 1/3
Let j(i) be the third derivative of -i**6/320 + 41*i**5/160 - 19*i**4/8 + 37*i**3/4 + 8*i**2 + 46*i. Solve j(w) = 0.
2, 37
Let s = 111 - 100. Let z = -8 + s. Find d such that 1/2*d**2 - 3/4*d**4 - 3/4*d + 1/2*d**z + 1/4*d**5 + 1/4 = 0.
-1, 1
Let q(h) be the second derivative of 0*h**3 - 2*h + 1/18*h**4 - 4/9*h**2 + 0 - 1/90*h**5. Factor q(u).
-2*(u - 2)**2*(u + 1)/9
Let x(f) be the first derivative of -f**4/2 + 26*f**3/3 + f**2 - 26*f - 147. Find a, given that x(a) = 0.
-1, 1, 13
Let c be (4/(-21))/((-152)/1596). Suppose -3/2*q - 1/2*q**c + 2 = 0. What is q?
-4, 1
Let d(q) be the third derivative of -q**8/2688 - q**7/420 + 13*q**6/480 - 11*q**5/120 + 31*q**4/192 - q**3/6 + q**2 - 213. Factor d(g).
-(g - 1)**4*(g + 8)/8
Let o be 1/(6 - 11 - (-11)/2). Let h(y) be the first derivative of -16/3*y**3 - 8*y + 10*y**o - 2 + y**4. Suppose h(z) = 0. Calculate z.
1, 2
Let i(b) = b**2 - 12*b - 319. Let h be i(25). Find y, given that -h*y + 9/2 + 3/2*y**2 = 0.
1, 3
Let p(d) be the second derivative of -d**4/42 - 2*d**3/7 - 5*d**2/7 - 59*d. Factor p(w).
-2*(w + 1)*(w + 5)/7
Let z(s) be the second derivative of s**7/252 + s**6/10 + 17*s**5/120 + 430*s. Solve z(v) = 0.
-17, -1, 0
Let h(z) be the second derivative of 0*z**3 + 2/15*z**6 + 0*z**5 + 0*z**4 + 2/21*z**7 + 0 + 3*z + 0*z**2. Solve h(f) = 0.
-1, 0
Let o(r) = 2*r + 6. Suppose 2*h + 7 = 2*f + 17, 17 = -5*f + h. Let c be o(f). Factor -2/7 + c*a + 2/7*a**2.
2*(a - 1)*(a + 1)/7
Let l(q) be the second derivative of 1/40*q**5 - 1/2*q**2 - 18*q - 1/8*q**4 + 1/60*q**6 - 5/12*q**3 + 0. Factor l(h).
(h - 2)*(h + 1)**3/2
Factor 2 + 6*s**4 - 2 - 511*s - 14*s**2 + 523*s - 6*s**3 + 2*s**5.
2*s*(s - 1)**2*(s + 2)*(s + 3)
Factor -32/11 + 14/11*t**2 - 2/11*t**3 + 20/11*t.
-2*(t - 8)*(t - 1)*(t + 2)/11
Find m such that -216*m**4 + 140*m + 221*m**4 + 33*m**3 - 20*m**2 - 68*m**3 = 0.
-2, 0, 2, 7
Let f be 8/(-6)*1*(30 + -32). Let c(b) be the first derivative of 1/3*b**4 - 1 - 16/9*b**3 + 0*b + f*b**2. Factor c(o).
4*o*(o - 2)**2/3
Suppose -5*a - 24 = -h - 2*h, -30 = -5*h + 5*a. Factor -19*i - 10*i**2 + 27*i**3 - 29*i**3 - 8 + h*i.
-2*(i + 1)*(i + 2)**2
Let j(n) be the second derivative of -5*n**4/12 + 25*n**3/2 - 49*n. Suppose j(c) = 0. What is c?
0, 15
Let v(h) be the second derivative of -2*h**6/135 + h**5/10 + h**4/3 + h**3/27 - 2*h**2/3 + 36*h - 1. Find p such that v(p) = 0.
-1, 1/2, 6
Let d(g) be the second derivative of 0 - 1/15*g**4 - 1/30*g**3 + 2/75*g**6 + 0*g**2 - 2*g + 2/105*g**7 - 3/100*g**5. Suppose d(q) = 0. What is q?
-1, -1/2, 0, 1
Let g(i) = 20*i**2 - 60*i. Let q(x) = 9*x**2 - 30*x. Let l(v) = -2*g(v) + 5*q(v). Factor l(r).
5*r*(r - 6)
Let o(r) be the first derivative of -r**6/35 - r**5/70 + r**4/21 + 2*r - 9. Let c(u) be the first derivative of o(u). Determine z so that c(z) = 0.
-1, 0, 2/3
Let b(g) be the second derivative of -25*g**4/12 + 45*g**3/2 - 25*g**2 + 66*g. Factor b(r).
-5*(r - 5)*(5*r - 2)
Let g(j) = j**2 + 3*j - 12. Let r be g(-7). Factor r*d - 21*d - 3*d**2 - 3 + 2*d**2 + d**3.
(d - 3)*(d + 1)**2
What is z in 0*z**3 - 2/9*z**4 + 38/3*z**2 + 32 - 400/9*z = 0?
-9, 1, 4
Suppose -5*g = 15, -4*l + g = -0*g - 15. Let f be (l - 2/1) + 2. Factor -1/2*z**5 + 1/2*z**4 + 1/2*z**f + 0*z - 1/2*z**2 + 0.
-z**2*(z - 1)**2*(z + 1)/2
Let b(t) be the third derivative of t**6/540 + 2*t**5/135 - 8*t**4/27 - t**2 + 23. Factor b(a).
2*a*(a - 4)*(a + 8)/9
Let p(b) be the third derivative of -b**7/1680 + b**6/240 - b**5/80 - 7*b**4/24 - 7*b**2. Let x(g) be the second derivative of p(g). Factor x(t).
-3*(t - 1)**2/2
Let g(o) be the second derivative of 3*o**5/20 - 5*o**4 + 19*o**3/2 - 552*o. Determine n so that g(n) = 0.
0, 1, 19
Let w = -24 - -29. Let m be (-88)/385*(-14)/12*w. Factor -2/3*h**2 + 0 - m*h.
-2*h*(h + 2)/3
Let p(h) be the second derivative of h**5/100 - 19*h**4/60 + 32*h**3/15 - 6*h**2 + 66*h. Factor p(w).
(w - 15)*(w - 2)**2/5
Let j = 6034 - 42236/7. Suppose -4*i + 0*i + 8 = 0. Factor -j*v**3 + 0 - 2/7*v**i + 0*v.
-2*v**2*(v + 1)/7
Let h(n) be the third derivative of -n**5/15 - 8*n**4/3 - 110*n**3/3 - 51*n**2. Factor h(k).
-4*(k + 5)*(k + 11)
Let m(n) be the second derivative of -34*n + 1/9*n**4 + 0 - 1/60*n**5 + 1/3*n**2 - 5/18*n**3. Factor m(y).
-(y - 2)*(y - 1)**2/3
Let w(s) be the second derivative of 7/20*s**5 - 1/4*s**4 + 0*s**3 + 4*s**2 + 0 - 7*s - 1/8*s**6. Let f(o) be the first derivative of w(o). Factor f(l).
-3*l*(l - 1)*(5*l - 2)
Let u be (-1088)/102*3/(-2). Let k be u/112*(-42)/(-4). Let k*o + 3/2 + 3/8*o**2 = 0. Calculate o.
-2
Let z(v) be the second derivative of v**4/12 + 2*v**3/21 - 3*v**2/14 - 341*v. Factor z(y).
(y + 1)*(7*y - 3)/7
Find o, given that 126/11*o + 2/11*o**3 + 6*o**2 + 62/11 = 0.
-31, -1
Find b such that 265/3*b + 5/3*b**2 + 260/3 = 0.
-52, -1
Let i(h) be the first derivative of -h**7/21 + 2*h**6/15 - h**4/3 + h**3/3 - 3*h - 5. Let c(p) be the first derivative of i(p). Solve c(m) = 0.
-1, 0, 1
Let z(l) = 11*l**2 + 6*l - 11. Let g be z(2). Let m be 3/(75/10) + (-8)/g. Determine j, given that -m*j**4 + 0 - 8/9*j**3 + 0*j - 8/9*j**2 = 0.
-2, 0
Let z be 732/165 + (-28)/(-77) + 0. Factor -36/5 - 4/5*p**2 - z*p.
-4*(p + 3)**2/5
Let i(m) be the third derivative of -3*m**8/28 + 4*m**7/7 + 23*m**6/30 + 4*m**5/15 - 86*m**2. Factor i(d).
-4*d**2*(d - 4)*(3*d + 1)**2
Let o be -1 - -1 - 180/(-18). Factor 6*k**2 + 0 + o + 12*k**2 + 33*k - 16*k**3 + 11*k**3.
-(k - 5)*(k + 1)*(5*k + 2)
Let m(z) = -z. Let x(u) = 5*u. Let v(s) = 3*m(s) + x(s). Let y be v(0). Factor -8*t**3 - 4*t**4 - 2*t**2 + y*t**4 - 2*t**2.
-4*t**2*(t + 1)**2
Let w(p) be the second derivative of 0 + 0*p**3 + 1/20*p**4 + 0*p**2 + 15*p. Factor w(k).
3*k**2/5
Let k = -2191 - -13151/6. Let j(x) be the second derivative of -5/2*x**3 +