z**3 + 11/3*z + 2 + 4/3*z**2.
-(z - 6)*(z + 1)**2/3
Let m(x) = -2*x**2 - x + 30. Let y(f) = 4*f**2 + f - 60. Let i(o) = 14*m(o) + 6*y(o). Factor i(q).
-4*(q - 3)*(q + 5)
Let f(h) be the second derivative of 25*h**7/14 + 12*h**6 + 321*h**5/10 + 42*h**4 + 49*h**3/2 + 72*h + 1. What is r in f(r) = 0?
-7/5, -1, 0
Suppose -6*x + 34 + 2 = 0. Suppose -19*c + 22*c - x = 0. Find l such that -15*l - l**2 - 3 - c*l**2 + 21*l = 0.
1
Suppose 0 = -9*z - 39 + 57. Let m(w) be the second derivative of 5*w - 1/24*w**4 - 1/2*w**z + 0 - 1/4*w**3. Factor m(j).
-(j + 1)*(j + 2)/2
Factor 122/15*i**2 + 2/15*i**3 + 118/15 + 238/15*i.
2*(i + 1)**2*(i + 59)/15
Let x(k) be the second derivative of -3*k**5/80 + 113*k**4/48 - 37*k**3/12 - k - 148. Suppose x(b) = 0. What is b?
0, 2/3, 37
Let a(w) = w**4 + w**2 - w + 1. Let j(x) = -8*x**4 + 36*x - 5 + 8*x**3 - 9*x**2 - 33*x + x**2. Let f(s) = -15*a(s) - 3*j(s). Factor f(v).
3*v*(v - 2)*(v - 1)*(3*v + 1)
Let f = 122 + -120. Factor -15*c**2 + 16*c**f - 13*c**2 + 0 - 9*c**3 + 6 + 3*c.
-3*(c + 1)**2*(3*c - 2)
Let f(r) be the second derivative of r**5/80 - r**4/6 + 13*r**3/24 - 3*r**2/4 - 25*r + 2. Find x, given that f(x) = 0.
1, 6
Suppose -4*d - 12 = 0, -2*a + 4*a - 3*d = 9. Let q(k) be the first derivative of a*k - 10 + 2/7*k**2 + 0*k**3 - 1/7*k**4. Factor q(t).
-4*t*(t - 1)*(t + 1)/7
Let n be 8/20 - (-17272)/120. Let b = n - 144. Factor 0 - j**3 + 0*j - b*j**5 - j**4 - 1/3*j**2.
-j**2*(j + 1)**3/3
Let x(p) be the second derivative of p**6/255 - p**5/85 + p**4/102 - 5*p. Factor x(i).
2*i**2*(i - 1)**2/17
Let p(b) = -b**3 + 2. Let m = 6 - 6. Let n be p(m). Determine q, given that 0*q**n + 0 + 0*q**3 + 0*q + 2/3*q**4 = 0.
0
Let t(w) = 9*w**3 + 316*w**2 + 68*w - 17. Let j(o) = -3*o**3 - 105*o**2 - 24*o + 6. Let n(d) = -17*j(d) - 6*t(d). Factor n(s).
-3*s**2*(s + 37)
Let x(f) be the second derivative of -f**7/840 + f**6/40 + 7*f**5/40 + 11*f**4/12 + 13*f. Let n(w) be the third derivative of x(w). Factor n(g).
-3*(g - 7)*(g + 1)
Let t(g) be the third derivative of -1/48*g**5 + 0*g + 0 - 12*g**2 + 1/12*g**3 - 1/32*g**4. Find d such that t(d) = 0.
-1, 2/5
Suppose -4*v - 5*u - 9 = 0, 0*u + 23 = 2*v - 3*u. Let g(n) be the first derivative of -2/45*n**3 - 2/15*n**2 + 0*n + 1/30*n**v + 6. Find x such that g(x) = 0.
-1, 0, 2
Suppose -20 = -3*p - m, 4*m = 4*p - 9 - 39. Determine b so that -p*b + 2 + 38 - 4*b**2 - 8 = 0.
-4, 2
Factor 0 + 3*m + 4*m**2 + 7/4*m**3 + 1/4*m**4.
m*(m + 2)**2*(m + 3)/4
Let v = 1204/5 - 7961/20. Let l = 160 + v. Factor -l*s**3 - 15/4*s + 6*s**2 + 1/2.
-(s - 1)**2*(11*s - 2)/4
Let q(k) be the first derivative of k**3/9 - 7*k**2/6 + 4*k + 40. Determine c, given that q(c) = 0.
3, 4
Let l(n) = -37*n**2 + 203*n + 84. Let o(q) = -35*q**2 + 205*q + 85. Let w(v) = -5*l(v) + 6*o(v). Factor w(f).
-5*(f - 9)*(5*f + 2)
Solve -9*l - 12*l**3 + 46*l**2 + l**4 - 24*l + 9*l + 13 - 36*l + 12 = 0.
1, 5
Let w(b) be the third derivative of -b**5/30 - b**4/12 + 20*b**3/3 + 3*b**2 - 10*b. Solve w(g) = 0.
-5, 4
Let o be 1/(-2*(-4)/16). Let b be ((-8)/6)/o*-3. What is h in 12 + 6 + 24*h - 2*h**b + 10*h**2 = 0?
-3/2
Let 914*c**2 + c**5 - 4 - 7*c - 309*c**2 - 10*c**3 - 317*c**2 - 8*c - 308*c**2 = 0. What is c?
-1, 4
Let o be (3*(3 + (-220)/75))/((-6)/(-18)). Factor 3/5*x + 0 + o*x**2.
3*x*(x + 1)/5
Let k(q) be the third derivative of q**7/210 - q**6/40 + q**5/20 - q**4/24 + 7*q**3/3 + 4*q**2. Let s(f) be the first derivative of k(f). Factor s(h).
(h - 1)**2*(4*h - 1)
Let z(n) be the first derivative of 25/34*n**4 - 10/17*n**3 - 24/17*n**2 + 32/17*n - 15. Determine f so that z(f) = 0.
-1, 4/5
Factor -3*s + 1/4*s**2 + 11/4.
(s - 11)*(s - 1)/4
Let b be 8/52 - 378/(-78). Let f(q) be the third derivative of -b*q**2 + 0 + 0*q - 1/60*q**5 + 1/6*q**4 - 1/2*q**3. Factor f(a).
-(a - 3)*(a - 1)
Let g(w) be the second derivative of w**7/21 + 7*w**6/15 + 3*w**5/10 - 23*w**4/6 - 32*w**3/3 - 12*w**2 - 5*w - 16. Factor g(o).
2*(o - 2)*(o + 1)**3*(o + 6)
Let h(n) be the first derivative of -4 + 0*n - 2*n**3 + 3/2*n**2 + 3/4*n**4. Factor h(w).
3*w*(w - 1)**2
Factor -180/17*s - 2/17*s**2 - 4050/17.
-2*(s + 45)**2/17
Let x(n) = -n**4 + n**3 - n**2 + n + 2. Let u(p) = -44*p**4 - 191*p**3 + 141*p**2 + 759*p + 158. Let i(w) = u(w) + x(w). Find r such that i(r) = 0.
-4, -2, -2/9, 2
Let b(q) be the second derivative of 4*q - 1/8*q**4 - 75/16*q**2 - 5/4*q**3 + 0. Suppose b(i) = 0. What is i?
-5/2
Suppose 2*s - 1 = 7. Let y(t) = 18*t**2 - 129*t + 36. Let j(f) = 17*f**2 - 128*f + 36. Let d(h) = s*y(h) - 3*j(h). Find l, given that d(l) = 0.
2/7, 6
Let t(s) = -s**3 + 8*s**2 - 21*s + 58. Let q be t(9). Let d = q - -214. Find m such that 2/3*m**3 - 2/3*m + 1/3*m**d - 1/2*m**4 + 1/6 = 0.
-1, 1/3, 1
Suppose 0 = 6*h - 4*h - 14. Suppose -3*l + 7*l - 7*l + h - 1 - 3*l**2 = 0. Calculate l.
-2, 1
Find g such that -177/7 - 12/7*g**2 - 711/7*g = 0.
-59, -1/4
Suppose 12 = -4*o - 0*o. Let w be 3*6/(-27)*o. Let -f**4 + 4*f**4 - 3*f**4 - f**4 + 2*f**3 - f**w = 0. Calculate f.
0, 1
Let o(x) = -106*x**3 - 125*x**2 - 14*x + 4. Let j(a) = a**3 - a + 1. Let n(l) = j(l) + o(l). Factor n(t).
-5*(t + 1)*(3*t + 1)*(7*t - 1)
Let z(s) be the second derivative of 0 - 1/48*s**4 + 1/160*s**5 + 1/240*s**6 + 0*s**3 + 0*s**2 - 2*s. Factor z(c).
c**2*(c - 1)*(c + 2)/8
Let m(b) be the second derivative of -9/2*b**2 - 5/2*b**3 + 1/10*b**6 + 9/10*b**5 + 0 - 1/14*b**7 + 1/2*b**4 - 15*b. Factor m(f).
-3*(f - 3)*(f - 1)*(f + 1)**3
Let i(f) be the third derivative of 27*f**8/392 + 30*f**7/49 + 38*f**6/21 + 8*f**5/7 - 20*f**4/7 + 32*f**3/21 - 36*f**2 + 2*f. Determine w, given that i(w) = 0.
-2, 2/9
Let n(q) be the third derivative of -2*q**7/315 - q**6/15 - 4*q**5/45 + q**4/3 + 10*q**3/9 + 824*q**2. Suppose n(o) = 0. Calculate o.
-5, -1, 1
Let q(t) be the second derivative of 32/9*t**2 - 1/9*t**4 + 0 + 0*t**3 - 18*t + 1/90*t**5. Let q(h) = 0. Calculate h.
-2, 4
Let s(f) be the first derivative of 3/5*f**5 + 30 + 0*f**2 - 3/4*f**4 - 1/6*f**6 + 1/3*f**3 + 0*f. Factor s(z).
-z**2*(z - 1)**3
Let d = 1/28654 - -42979/57308. Factor 3/2*o + 0 + d*o**2.
3*o*(o + 2)/4
Let o(z) be the second derivative of -1/21*z**4 - 4/105*z**6 + 1/147*z**7 + 0*z**3 + 0 + 0*z**2 - 18*z + 1/14*z**5. Let o(q) = 0. Calculate q.
0, 1, 2
Let f(d) = -d**3 + 10*d**2 - 13*d + 7. Let i be f(5). Let q = -67 + i. Factor -4/3*r**3 - 2/9*r**5 - 8/9*r**2 - 8/9*r**4 - 2/9*r + q.
-2*r*(r + 1)**4/9
Let i(f) be the first derivative of 81*f**6/4 - 1863*f**5/10 - 1377*f**4/4 - 237*f**3 - 321*f**2/4 - 27*f/2 - 75. Factor i(m).
3*(m - 9)*(3*m + 1)**4/2
Let h(o) be the third derivative of o**6/960 + o**5/80 + 11*o**4/192 + o**3/8 - 6*o**2 + 4*o. Suppose h(j) = 0. Calculate j.
-3, -2, -1
Let p(a) be the first derivative of -5*a**3/9 + 45*a**2 + 560*a/3 - 263. Factor p(w).
-5*(w - 56)*(w + 2)/3
Let b be (16 + -14)*(1 + (-6)/(-4)). Let f(m) be the first derivative of -2/55*m**b - 2/11*m**2 - 6 + 0*m**3 + 1/11*m**4 + 2/11*m. Let f(i) = 0. What is i?
-1, 1
Let z = 26/31 - -2717/124. Let f = z - 21. Find m, given that f*m**5 + 0 - 5/4*m**2 + 1/2*m + 5/4*m**4 - 9/4*m**3 = 0.
-1, 0, 2/7, 1
Let r(u) = -14*u**3 - 617*u**2 + 176*u - 5. Let m(g) = -21*g**3 - 925*g**2 + 264*g - 7. Let x(t) = 5*m(t) - 7*r(t). Find w such that x(w) = 0.
-44, 0, 2/7
Let y(m) = 2*m**3 + 10*m**2 - 5*m - 22. Let f be y(-5). Let s(t) be the first derivative of -3/4*t**4 + 3*t**2 - 3 + t**f + 0*t. Let s(z) = 0. What is z?
-1, 0, 2
Let p(z) be the second derivative of -z**7/231 + 5*z**6/33 - 111*z**5/55 + 37*z**4/3 - 1057*z**3/33 + 441*z**2/11 - 529*z. Let p(w) = 0. What is w?
1, 7, 9
Suppose -2*w = 5*x + w - 309, -x + 69 = -3*w. Factor -20*k**2 - 21*k**2 + x*k**2 + 4 + 10*k - 28*k**2.
-2*(k - 2)*(3*k + 1)
Let x(s) be the second derivative of -s**9/7560 + s**7/630 - s**5/60 - s**4/4 - 4*s. Let z(q) be the third derivative of x(q). Factor z(b).
-2*(b - 1)**2*(b + 1)**2
Let x(n) = n**4 - 30*n**2 + 107*n - 78. Let c(f) = -f**4 + 4*f**3 - f**2 - f - 1. Let o(k) = -15*c(k) + 5*x(k). Factor o(s).
5*(s - 1)*(s + 3)*(2*s - 5)**2
Suppose -4*r - 13 = -v + 15, 3*v = -4*r + 20. Let s be (v/9)/((-2)/(-3)). Suppose -6*a**4 + 6*a**3 + 3 + a**4 - 6*a + s*a**4 = 0. What is a?
-1, 1
Let i(g) be the first derivative of 0*g**2 + 0*g**5 + 3/8*g**4 - 1/12*g**6 - 1/3*g**3 + 0*g - 13. Factor i(h).
-h**2*(h - 1)**2*(h