- f**4 - 88*f - 691741*f**2.
-f*(f - 22)*(f - 4)*(f + 1)
Factor 209/5 + 8/5*q - 1/5*q**2.
-(q - 19)*(q + 11)/5
Let v(q) be the first derivative of 7*q**5/5 + 27*q**4/4 + 31*q**3/3 + 9*q**2/2 - 2*q - 4140. Factor v(x).
(x + 1)**2*(x + 2)*(7*x - 1)
Let r be (-13 - 561/(-34))*48/224. Let -r*h**5 + 0*h**4 + 0*h + 0 + 0*h**2 + 3/4*h**3 = 0. Calculate h.
-1, 0, 1
Suppose -377*w + 246*w = 571*w - 2106. Let -i**4 + 4*i**2 - 6*i**w + 0 + 8/5*i + 7/5*i**5 = 0. What is i?
-2, -2/7, 0, 1, 2
Let c(a) be the second derivative of -a**4/150 + 13*a**3/75 + 6*a**2/5 - 5*a + 151. What is u in c(u) = 0?
-2, 15
Factor -623/2*c**2 + 48360*c + 48672 + 1/2*c**3.
(c - 312)**2*(c + 1)/2
Let z(c) = -3*c**2 - 173*c - 278. Let h be z(-56). Let 0 + 116/9*i**h - 2/9*i**3 - 1682/9*i = 0. Calculate i.
0, 29
Let v(w) be the second derivative of 1/15*w**6 - 40/3*w**3 - 2*w**4 + 0 + 1/5*w**5 - 32*w**2 - 39*w. Let v(q) = 0. Calculate q.
-2, 4
Let g(a) be the first derivative of 25/4*a**4 - 5/2*a**2 + 30*a + 3*a**5 + 106 - 65/3*a**3. Let g(u) = 0. What is u?
-3, -2/3, 1
Let u be 5*(3 - (-12 - -14)). Let l(w) be the third derivative of 0 - 1/8*w**4 + 0*w + 1/80*w**6 - 1/40*w**u - 4*w**2 + 0*w**3. Factor l(c).
3*c*(c - 2)*(c + 1)/2
Let s be (-12)/(-18) - (1 + 2462/(-7350)). Let y = s - -2444/3675. Factor -y + q - 1/3*q**2.
-(q - 2)*(q - 1)/3
Let c(u) be the first derivative of 12*u**5/5 - 152*u**4 + 684*u**3 + 376*u**2 + 2796. Solve c(d) = 0 for d.
-1/3, 0, 4, 47
Let c(t) = 3*t**3 + 79*t**2 - 230*t - 612. Let w(p) = 3*p**3 + 87*p**2 - 228*p - 612. Let x(n) = 6*c(n) - 5*w(n). What is r in x(r) = 0?
-17, -2, 6
Factor -7*y**2 - 28*y**2 + 34*y - 14*y**2 + 60 + 25*y**2 - 2*y**3 + 4*y**3.
2*(y - 10)*(y - 3)*(y + 1)
Suppose -2*p = 3*f - 4390, 0 = 5*f + 5*p - 3251 - 4064. Let c = f - 10245/7. Find g such that 0 + 0*g - c*g**2 - 6/7*g**3 - 3/7*g**4 = 0.
-1, 0
Let r(h) = -h**2 - 95*h - 1212. Let u(q) = -3*q**2 - 288*q - 3635. Let z(s) = -13*r(s) + 4*u(s). Factor z(w).
(w + 19)*(w + 64)
Let v(g) be the second derivative of g**7/84 - 5*g**6/12 - 53*g**5/40 - 9*g**4/8 - 2337*g. Suppose v(t) = 0. What is t?
-1, 0, 27
Suppose 16 = -11*q + 7*q, -z - 13 = 5*q. Let u be (1 - z)*(-37)/74. Find r such that -6/7*r**u + 8/7*r**2 + 0 - 2/7*r = 0.
0, 1/3, 1
Let i(y) be the second derivative of y**3 + 6 - 6/5*y**5 + y + 3/4*y**4 + 3/10*y**6 + 0*y**2. Factor i(m).
3*m*(m - 2)*(m - 1)*(3*m + 1)
Let l = -5 - -34. Let c = -21 + l. Factor 4*w**3 - 103 + c*w**2 + 103.
4*w**2*(w + 2)
Let h(t) = 2*t**3 - t + 1. Let d(i) = -13*i**3 - 1665*i**2 - 308020*i - 18994880. Let s(j) = -d(j) - 5*h(j). Factor s(c).
3*(c + 185)**3
Suppose 2*r + 1433 = 4*i + 1451, 6*r + i = 28. Determine h so that -12/7*h**3 - 6/7*h**2 + 9/7*h + 0 + 3/7*h**r + 6/7*h**4 = 0.
-3, -1, 0, 1
Let z(v) be the third derivative of -v**5/90 + 5*v**4/18 + 1959*v**2. Factor z(d).
-2*d*(d - 10)/3
Let w = 236724 + -236700. What is l in -15*l - w - 3/2*l**2 = 0?
-8, -2
Suppose -3*x - m - 1 = 0, m - 620 + 623 = -x. Let a be -1*x/(-7) + (-50)/(-875). Factor a*t**2 - 6/5 - t.
(t - 6)*(t + 1)/5
Let t = -1049 + 1092. Suppose -4 = -3*s + 8. Solve 4*c + t + s*c**2 - 15 + 28*c = 0.
-7, -1
Let m(q) be the first derivative of q**7/210 - q**6/40 - 7*q**5/60 + 5*q**4/8 + 3*q**3 + 8*q**2 + 106. Let p(x) be the second derivative of m(x). Factor p(k).
(k - 3)**2*(k + 1)*(k + 2)
Let u = 375201/16 + -23450. Let v(k) be the first derivative of 0*k**3 + 20 + 0*k - 1/8*k**2 + u*k**4. Let v(z) = 0. Calculate z.
-1, 0, 1
Let u(a) be the second derivative of 18*a**7/7 + 27*a**6 - 3501*a**5/10 + 2266*a**4/3 - 636*a**3 + 208*a**2 - 2534*a - 2. Let u(z) = 0. What is z?
-13, 1/6, 2/3, 4
Let v(t) be the first derivative of -26 - 10*t**2 + 0*t + 2/3*t**3. Factor v(l).
2*l*(l - 10)
Suppose 6 = 4*l - 2*o, -l - 2 = o - 5. Factor -218*j - l + 15*j**2 - 38 + 168*j.
5*(j - 4)*(3*j + 2)
Let r(v) be the second derivative of -v**4/27 - 2920*v**3/27 - 1065800*v**2/9 - 7*v + 53. Factor r(d).
-4*(d + 730)**2/9
What is s in -547*s - 13*s - 499*s - 37*s**2 + 33*s**2 - 157*s = 0?
-304, 0
Let h(o) be the second derivative of o**4/24 + 65*o**3/12 + 16*o**2 - 853*o. Suppose h(z) = 0. What is z?
-64, -1
Let t(c) = c**2 + 61*c + 560. Let i be t(-11). Let b(k) be the first derivative of 1/36*k**6 - 1/30*k**5 + i + 0*k + 0*k**3 + 0*k**2 + 0*k**4. Factor b(o).
o**4*(o - 1)/6
Let l(w) = 19*w - 111. Let d be l(6). Let c be (-45)/105*(-1)/((-2)/(-4)). Suppose 4/7*x**2 + 4/7*x**d + 2/7*x**5 - c*x - 6/7*x**4 + 2/7 = 0. Calculate x.
-1, 1
Let p = 178/1023 - 5/682. Factor -5/6*c + 1/3 - p*c**3 + 2/3*c**2.
-(c - 2)*(c - 1)**2/6
Suppose 42 - 69 = -9*r. Let c(i) be the third derivative of -1/12*i**5 - 28*i**2 + 35/12*i**4 + 0*i + 0 - 245/6*i**r. What is a in c(a) = 0?
7
Let x(f) = 420*f**4 - 20*f**3 + 975*f**2 - 25*f - 25. Let u(z) = 17*z**4 - z**3 - 3*z**2 - z - 1. Let c(y) = 25*u(y) - x(y). Suppose c(s) = 0. What is s?
-14, 0, 15
Let a(d) = d**2 + 3*d - 71. Let f be a(-10). Let l(z) = 4*z**2 - 144*z - 152. Let k(b) = b. Let y(v) = f*l(v) + 4*k(v). Determine u so that y(u) = 0.
-1, 38
Suppose -64*p + 172*p - 5 = -5. Let a(x) be the second derivative of 0*x**2 - 1/40*x**5 + 0*x**3 + 1/60*x**6 - 1/12*x**4 - 18*x + p. Factor a(z).
z**2*(z - 2)*(z + 1)/2
Let p(m) be the third derivative of -1/60*m**5 + 128*m**2 + 0 - 1/2*m**4 - 6*m**3 + 0*m. Let p(c) = 0. Calculate c.
-6
Let v = 40620 - 528058/13. Find h such that -16/13*h**3 + 0 + v*h**4 - 36/13*h + 42/13*h**2 = 0.
0, 2, 3
Suppose 590 - 223 = 486*t - 605. Factor 0 - 2/9*f**4 - 10/9*f**3 - 2/3*f - 14/9*f**t.
-2*f*(f + 1)**2*(f + 3)/9
Let i(x) = x**3 + x**2 - x + 1. Let u(d) = -2*d**3 - 10*d**2 - 34*d - 38. Suppose 54 = 8*p + 6. Let t(z) = p*i(z) + u(z). Factor t(b).
4*(b - 4)*(b + 1)*(b + 2)
Let p(k) be the second derivative of -k**5/60 + k**4/18 + 89*k**3/18 - 15*k**2 - 334*k + 4. Find o, given that p(o) = 0.
-9, 1, 10
Let d = -18 + 18. Suppose 2*z + 10 - 40 = d. Determine c so that 14*c**2 + 4*c + z*c**3 - 56*c**3 + 29*c**3 + 10*c**4 + 2*c**5 + 30*c**3 = 0.
-2, -1, 0
Suppose -23*o + 300 - 300 = 0. Let n(b) be the third derivative of -1/10*b**3 + o + 1/600*b**5 + 0*b + b**2 + 1/240*b**4. Factor n(f).
(f - 2)*(f + 3)/10
Let a(r) = r**2 - 19*r + 93. Let v be a(10). Determine g, given that 337*g**v + g**4 - 337*g**3 = 0.
0
Let v be 118/1593 - 109570/54. Let p = -2029 - v. Suppose -3/4*b**2 + 1/4*b**3 + p*b + 0 = 0. Calculate b.
0, 3
Let m(a) be the first derivative of -a**4/8 + 43*a**3/2 - 1056*a**2 + 2048*a - 346. Factor m(c).
-(c - 64)**2*(c - 1)/2
What is q in -496/3 + 36*q**2 - 512/3*q + 128/3*q**3 + 4/3*q**4 = 0?
-31, -2, -1, 2
Factor 70*j**2 + 3*j**3 - 96*j - 32*j**2 + 180 - 18*j**2 - 23*j**2.
3*(j - 5)*(j - 2)*(j + 6)
Let h(a) be the third derivative of a**7/11340 - 17*a**6/3240 + 109*a**4/12 - 17*a**2 - 2*a. Let p(r) be the second derivative of h(r). Factor p(j).
2*j*(j - 17)/9
Let m(z) be the first derivative of -2*z**6/15 + 3*z**5/5 + z**4/3 - 2*z**3 + 85*z - 23. Let g(x) be the first derivative of m(x). Factor g(w).
-4*w*(w - 3)*(w - 1)*(w + 1)
Let x(r) be the second derivative of -8/3*r**4 + 2/21*r**7 + 4/15*r**6 - 14/3*r**3 - 2/5*r**5 - 26*r - 4*r**2 - 1. Factor x(y).
4*(y - 2)*(y + 1)**4
Suppose 63*a = 66*a - 21. Suppose 15*k = a + 23. What is z in 2/9*z - 1/9*z**k + 1/3 = 0?
-1, 3
Let i(c) be the second derivative of -c**4/96 + 23*c**3/24 - 529*c**2/16 + 338*c + 6. Factor i(p).
-(p - 23)**2/8
Let d(i) = i**4 + 2*i**3 - 2*i - 4. Let b(t) = -1 - 3*t - 8*t**3 + t**4 - 5 + 10*t**3. Let n(y) = 2*b(y) - 3*d(y). Determine q so that n(q) = 0.
-2, 0
Let c(k) = -k**3 + 5*k**2 - 2*k + 1. Let f be c(3). Factor 11*u**3 - f*u**4 - 14*u**4 + 3*u - 2*u**3 + 15*u**2.
-3*u*(u - 1)*(3*u + 1)**2
Factor 8 - 97/4*w - 35/4*w**3 + 99/4*w**2 + 1/4*w**4.
(w - 32)*(w - 1)**3/4
Let l be (-25)/(-40) - ((-4194)/(-720) + -6). What is g in -4/5*g - l*g**2 + 0 = 0?
-1, 0
Let t(h) be the second derivative of -h**4/4 + h**3/2 + 198*h**2 - h + 107. Let t(c) = 0. Calculate c.
-11, 12
Let t(i) be the second derivative of 0 - 1/18*i**4 + 0*i**2 - 8/9*i**3 - 26*i. Factor t(u).
-2*u*(u + 8)/3
Let c(q) = 3*q**2 + 11*q + 5. Let y be c(-4). Suppose -2*g + y = 3. Factor 0*z**3 + 2 - 2 + 4*z**2 - 2*z**g - 4 + 2*z.
-2*(z - 2)*(z - 1)*(z + 1)
Let y(v) be the first derivative of 3/5*v**3 - 1/5*v**4 + 1/