at p(y) = 0.
0, 45
Let z(q) = 2*q**3 + 53*q**2 + 29*q + 81. Let a be z(-26). Let u(f) be the second derivative of -1/3*f**2 - 2/9*f**a - 1/18*f**4 + 0 + 8*f. Factor u(c).
-2*(c + 1)**2/3
Let i(y) = y**4 - y**3 + 2. Let o(z) = -2*z**4 - 103*z**3 + 858*z**2 + 2052*z + 1073. Let q(s) = -5*i(s) - o(s). Factor q(n).
-3*(n - 19)**2*(n + 1)**2
Find t, given that 4*t**3 - 8*t**3 - 143*t**2 - 161*t**2 + 0*t**3 = 0.
-76, 0
Suppose -5*l - 56 = 8*l - 95. Factor -6/5*h + 6/5*h**l + 18/5*h**2 - 18/5.
6*(h - 1)*(h + 1)*(h + 3)/5
Let z = 2867/3 + -953. Factor -z*p - 2/3*p**5 + 8/3*p**2 + 2*p**3 - 4/3*p**4 + 0.
-2*p*(p - 1)**2*(p + 2)**2/3
Let y = -19763/6 + 3294. Let u be ((-3)/(-4))/(6/16). Factor -4/3*z - 2/3 - y*z**3 - 5/6*z**u.
-(z + 1)*(z + 2)**2/6
Let k be 12 + (-930)/75 + (6/15 - -2). Solve -3*s + 0 + 3/2*s**k = 0.
0, 2
Let y(a) = -9*a**2 + 154*a + 448. Let z(s) = 3*s**2 - 51*s - 150. Let d(u) = -6*y(u) - 19*z(u). Factor d(r).
-3*(r - 18)*(r + 3)
Suppose 77 = 5*a - 3. Let j be (4/(-16))/((-28)/a). Factor j*s**2 + 4/7*s + 3/7.
(s + 1)*(s + 3)/7
Let r(b) = b**4 + b**3 - b**2 + 1. Let s(u) = -8*u**4 - 10*u**3 + 8*u**2 + 3*u - 7. Let q(j) = 14*r(j) + 2*s(j). Factor q(y).
-2*y*(y - 1)*(y + 1)*(y + 3)
Let y(a) = -a**3 + 6*a**2. Let b be y(6). Suppose 3 + b = l. Determine x so that 6/11*x**l - 8/11*x**2 - 2/11*x + 4/11 = 0.
-2/3, 1
Let h(s) be the third derivative of s**8/336 - 13*s**7/210 + 2*s**6/5 - 3*s**5/5 + 2*s**2 + 31*s. Factor h(g).
g**2*(g - 6)**2*(g - 1)
Let r(v) be the second derivative of 0 + 1/50*v**6 + 1/10*v**3 + 0*v**2 + 10*v - 1/20*v**4 - 3/100*v**5. Factor r(a).
3*a*(a - 1)**2*(a + 1)/5
Suppose 39 = l - 5*k, -l + 0*k + 4 = 2*k. Suppose 8*x + 24 = l*x. Find w such that -4/5*w**3 - 4/5 - 4/5*w**x + 2/5*w**5 + 8/5*w**2 + 2/5*w = 0.
-1, 1, 2
Suppose -h + 6 = -1. Let l(b) = -2*b + 16. Let q be l(h). Factor -9/2*v + 0 + 3/2*v**q.
3*v*(v - 3)/2
Suppose 0 - 5*t**2 - 3*t**5 - 29/3*t**4 - 11*t**3 - 2/3*t = 0. What is t?
-1, -2/9, 0
Factor -2/7*q + 0 - 24/7*q**2 - 72/7*q**3.
-2*q*(6*q + 1)**2/7
Let w(b) be the second derivative of -2*b**2 + 1/12*b**4 + 1/2*b**3 + 0 + 16*b. Factor w(g).
(g - 1)*(g + 4)
Let x(a) = 28*a**5 + 92*a**4 + 64*a**3 - 16*a**2 + 16*a. Let d(c) = -9*c**5 - 30*c**4 - 21*c**3 + 5*c**2 - 5*c. Let z(f) = -16*d(f) - 5*x(f). Factor z(b).
4*b**3*(b + 1)*(b + 4)
Let n(y) = 4*y**3 - 65*y**2 + 59*y - 1. Let i(v) = v**3 - 2*v**2 - v - 1. Let l(w) = i(w) - n(w). Factor l(f).
-3*f*(f - 20)*(f - 1)
Let 127*r**2 + 106*r**2 - 21*r**2 + 479*r + 396*r - 5*r**4 - 15*r**3 + 13*r**2 = 0. What is r?
-5, 0, 7
Suppose -25 = -6*k + 3*k + 5*x, -2*x = -4*k + 10. Let y(h) be the second derivative of 8*h + k + 2/3*h**4 + 0*h**3 + 1/5*h**5 - 2/15*h**6 + 0*h**2. Factor y(b).
-4*b**2*(b - 2)*(b + 1)
Let d = 12 - 9. Suppose b + 1 = d. Find u such that -2*u - 2*u + 0*u + 8*u**b = 0.
0, 1/2
Let b(t) be the third derivative of -t**7/210 - t**6/120 + t**5/120 - t**3/6 + 10*t**2. Let m(p) be the first derivative of b(p). Suppose m(i) = 0. What is i?
-1, 0, 1/4
Let b(l) be the second derivative of -1/60*l**4 + 7*l - 1/5*l**2 + 0 - 1/10*l**3. Factor b(n).
-(n + 1)*(n + 2)/5
Let k(w) = w**3 - 2*w**2 + w. Let h = -8 - -10. Let y be k(h). Factor y + q**5 + 3*q - 2*q**2 - 2*q**3 - 6*q**3 + 4*q**3.
(q - 2)*(q - 1)*(q + 1)**3
Suppose 4*c - 170 = -2*k, 2*c + 11 = -4*k + 87. Let r be c/16 + 3/(-4). Find h such that -2*h + r*h**3 - 21*h**2 + 22*h**2 + h = 0.
-1, 0, 1/2
Determine b so that -29*b**2 - 64 - 4*b**3 - 13*b**2 + 56 - 3*b**4 + 40*b + 10*b**4 + 7*b**4 = 0.
-2, 2/7, 1
Let x = 2 + -2. Solve 3*r + 18*r**2 + x*r - 21*r**2 = 0 for r.
0, 1
Let z = -59 + 65. Let w be (2/z)/(84/144). Find b such that -2/7*b**2 + 0 - w*b = 0.
-2, 0
Let c be -11*(3 + 4/(-2)). Let f = 12 + c. Factor -1 + 2*m**4 + f - 7*m - 6*m**2 + 11*m.
2*m*(m - 1)**2*(m + 2)
Let n = 433 + -433. Let y(x) be the second derivative of -2*x + 1/4*x**4 + 11/18*x**3 + 1/3*x**2 + n. Factor y(m).
(m + 1)*(9*m + 2)/3
Factor -25*n - 833 + 47*n**2 + 843 + 18*n**2 - 50*n.
5*(n - 1)*(13*n - 2)
Suppose 0 = 8*n - 15*n + 112. Let q(t) be the first derivative of -n*t - 4/3*t**3 - 2 + 8*t**2. What is x in q(x) = 0?
2
Suppose -4*i = 3*q, -3*q + 2*q = i. Let b be -7 + (-432)/(-144)*(2 + 1/1). Determine w so that 2/13*w**b + 0 + i*w = 0.
0
Let p(f) be the first derivative of 0*f**2 - 1/2*f**3 - 2 + 3/20*f**5 - 1/5*f**6 - 3*f + 1/2*f**4. Let w(z) be the first derivative of p(z). Solve w(k) = 0.
-1, 0, 1/2, 1
Suppose -2*n + 7 + 1 = 0. Factor 14*h - 4*h**2 + 8*h**4 + 39*h**2 + 25*h**3 + h - 3*h**n.
5*h*(h + 1)**2*(h + 3)
Suppose -2*r - 3*n = 2*r - 267, -5*r + 333 = 3*n. Let s be (-6)/33 - ((-56)/r)/1. Determine j so that 10/3*j + s*j**3 + 4/3 + 8/3*j**2 = 0.
-2, -1
Let m = 14148 - 14148. Determine r so that m*r + 0*r**3 + 0 + 1/3*r**4 - 1/3*r**2 = 0.
-1, 0, 1
Solve 3/5*g**2 - 18/5*g + 27/5 = 0 for g.
3
Let a(f) = -8*f**2 - 22*f + 2. Let x be a(-3). Let r be 3 + -4 + x + 5. Factor -6/7*n**3 + r + 4/7*n**4 + 2/7*n + 0*n**2.
2*n*(n - 1)**2*(2*n + 1)/7
Let u(k) be the second derivative of k**5/30 - k**4/5 + 4*k**3/15 + 8*k**2/15 - 293*k. Let u(w) = 0. What is w?
-2/5, 2
Let u(b) be the third derivative of b**6/60 - 2*b**5/15 + b**4/3 - 54*b**2. Let u(l) = 0. Calculate l.
0, 2
Let v(j) be the second derivative of j**5/160 - j**4/32 + j**3/16 - 5*j**2/2 - 8*j. Let a(f) be the first derivative of v(f). Suppose a(p) = 0. Calculate p.
1
Suppose 4*s - 129 + 29 = 5*w, -5*w + 50 = 2*s. Determine h so that 14*h**3 + s*h**3 - 6*h + 15*h**2 - 51*h**3 + 3*h**4 = 0.
0, 1, 2
Let p(r) be the first derivative of -2/11*r - 21 - 1/22*r**4 + 1/11*r**2 + 2/33*r**3. Let p(h) = 0. Calculate h.
-1, 1
Let 11*y**4 - y**2 - 10 - 20*y**3 + 41/2*y - 1/2*y**5 = 0. What is y?
-1, 1, 20
Let h be ((-5)/10)/1 + 83/(-2). Let r be 10/35 + (-44)/h. Find w, given that 0 + 4/3*w**4 - 4/3*w**2 - 4/3*w**3 + 0*w + r*w**5 = 0.
-1, 0, 1
Let d(j) be the first derivative of j**7/273 + j**6/65 + 3*j**5/130 + j**4/78 - 3*j + 13. Let q(y) be the first derivative of d(y). Let q(a) = 0. What is a?
-1, 0
Suppose -3*r = -1 - 5. Let k(q) be the second derivative of -q**2/2 + q. Let z(s) = -2*s**2 + 4*s + 3. Let f(v) = r*z(v) - 6*k(v). Suppose f(h) = 0. What is h?
-1, 3
Let f = -68383 + 751445/11. Let k = f - -70. Determine a so that k*a**2 + 0*a + 0 + 2/11*a**3 = 0.
-1, 0
Let x(o) be the first derivative of -o**5/360 + o**4/72 - 4*o**2 - 12. Let q(i) be the second derivative of x(i). Solve q(b) = 0 for b.
0, 2
Let n(s) be the third derivative of -5/16*s**3 + 0 - 18*s**2 + 1/160*s**5 + 0*s - 1/16*s**4. Factor n(b).
3*(b - 5)*(b + 1)/8
Let m(l) = 5*l**2 - 19*l - 4. Let a be m(4). Let v(n) be the third derivative of 9*n**2 - 1/20*n**5 + 1/4*n**4 + 0 - 1/2*n**3 + a*n. Factor v(z).
-3*(z - 1)**2
Let p = -19 + 24. Let t(c) be the second derivative of 3/16*c**4 + 3/80*c**5 + 0 + 3/8*c**2 + 3/8*c**3 + p*c. Suppose t(l) = 0. Calculate l.
-1
Let x(t) = 24*t**3 - 136*t**2 - 212*t - 44. Let j(r) = 49*r**3 - 271*r**2 - 423*r - 89. Let v(a) = -4*j(a) + 7*x(a). Factor v(g).
-4*(g - 6)*(g + 1)*(7*g + 2)
Suppose 0 = -6*p + 3*p + 5*u, -4*p = -u. Let j(a) be the third derivative of 1/8*a**6 + 7*a**2 + 0*a**3 + p*a**4 + 0*a + 1/12*a**5 + 0. Factor j(t).
5*t**2*(3*t + 1)
Let m(r) be the third derivative of -r**8/840 + 4*r**7/175 - 7*r**6/100 - 49*r**5/75 - 32*r**2. What is o in m(o) = 0?
-2, 0, 7
Let m = -2487 + 2490. Factor 1815*g**2 + 6655/2*g**m + 330*g + 20.
5*(11*g + 2)**3/2
Determine o, given that -131 - 129 - 218*o - 135 + 545 - 20*o**2 - 128 = 0.
-11, 1/10
Let l(y) be the first derivative of 9*y**4/4 + 394*y**3/3 + 2134*y**2 - 968*y + 277. What is f in l(f) = 0?
-22, 2/9
Let w = -54 - -64. Let -24*t - 6 + w*t**2 - 4*t**4 - 2*t**5 + t**5 + 25*t = 0. What is t?
-3, -2, -1, 1
Let l(g) be the second derivative of -g**6/75 - 19*g**5/50 - 8*g**4/5 + 4*g**3/15 + 64*g**2/5 + 195*g. Let l(o) = 0. Calculate o.
-16, -2, 1
Suppose -2*f = 3*k - 17, 0 = 223*k - 226*k - 4*f + 25. Solve 33/2*b + 27/2*b**2 + k = 0.
-1, -2/9
Let b(z) be the third derivative of z**5/120 + 7*z**4/2 - 169*z**3/12 - 248*z**2 + 1. Factor b(w).
(w - 1)*(w + 169)/2
Let v = -136/33 + 60/11. Suppose -c = 4*c - 4*c. Solve 0 - v*f**4 + c*f + 0*f**3 - 2/3*f**5 + 0*f**2 = 0 for f.
-2, 0
Let h = -1990 - -5986/3. Let -8/3*p + 1/3*p**2 + h = 0. Calcu