6*v**3 - 2*v**4 + 1/4*v**o + 0.
v*(v - 2)**4/4
Let d(b) = -b**3 - 39*b**2 + 92*b + 412. Let l be d(-41). Factor 0*r**4 - 1/2*r**5 + 0*r + 2*r**3 + 0 + 0*r**l.
-r**3*(r - 2)*(r + 2)/2
Let g(o) be the first derivative of o**4/16 - 5*o**3/12 - 17*o**2/8 + 21*o/4 - 221. Factor g(a).
(a - 7)*(a - 1)*(a + 3)/4
Find t such that 16/7*t + 40/7 - 22/7*t**2 + 2/7*t**3 = 0.
-1, 2, 10
Find c, given that 64/3 + 2/3*c**2 - 22*c = 0.
1, 32
Let a be 3 + 4 + 0 + -1. Let p(d) = -d**2 + 8*d - 8. Let r be p(a). Factor 4*t**4 + 6*t**3 + t**4 - 6*t - 5*t**r + 3*t**2 - 3*t**4.
-3*t*(t - 2)*(t - 1)*(t + 1)
Let n be (-1 - (-16)/14) + (-1506)/(-42). Let k = -34 + n. Determine f so that 8/7*f**k + 2/7*f + 12/7*f**3 + 0 + 8/7*f**4 + 2/7*f**5 = 0.
-1, 0
Let c(r) be the second derivative of r**5/70 + r**4/21 - 4*r**3/21 - 8*r**2/7 - 83*r. Factor c(j).
2*(j - 2)*(j + 2)**2/7
Let n be 28*((-10)/(-4) - 2). Factor -54*m + 22*m + n*m**3 + 32*m**2 - 42*m**2 - 8.
2*(m - 2)*(m + 1)*(7*m + 2)
Let f(a) = -a**2 - 26*a + 3. Let n be f(0). Solve -8/11 + 2/11*p**n - 8/11*p + 2/11*p**2 = 0.
-2, -1, 2
Suppose -17*y**3 - 1266 - 5*y**4 + 2*y**4 + 12*y**2 + 1266 + 4*y**5 + 4*y = 0. Calculate y.
-2, -1/4, 0, 1, 2
Let b(h) be the first derivative of -h**6/51 - 8*h**5/85 + h**4/17 + 8*h**3/17 - 9*h**2/17 + 17. Factor b(r).
-2*r*(r - 1)**2*(r + 3)**2/17
Factor -28/5*u**2 - 4/5 - 22/5*u**3 - 1/5*u**5 - 17/5*u - 8/5*u**4.
-(u + 1)**4*(u + 4)/5
Suppose -8*z + 6*z = -2*s - 6, -5*s + 4*z = 12. Let h be (-1)/(-3) - ((-14)/3 - -5). Let 0 + s*v**3 + h*v + 1/6*v**5 - 1/6*v**4 + 0*v**2 = 0. Calculate v.
0, 1
Let a = -11055 + 11061. Determine f, given that -a*f - 1/8*f**3 - 9/2 - 13/8*f**2 = 0.
-6, -1
Let x(w) be the second derivative of -w**3 - 1/2*w**4 + 9/2*w**2 - 3/10*w**5 + 0 - 2*w. Let c(t) = t**3 + t - 1. Let n(h) = 9*c(h) + x(h). Factor n(y).
3*y*(y - 1)**2
Let z(t) be the second derivative of t**4/9 + 124*t**3/27 + 80*t**2/9 + 120*t + 2. Factor z(f).
4*(f + 20)*(3*f + 2)/9
Let k(z) be the second derivative of z**6/12 + 21*z**5/16 + 115*z**4/16 + 35*z**3/3 - 30*z**2 + 3*z - 1. What is q in k(q) = 0?
-4, -3, 1/2
Let a = 56596/5 + -11319. Suppose -1/5*x**5 + 0 + a*x**4 + 0*x + 1/5*x**3 - 1/5*x**2 = 0. What is x?
-1, 0, 1
Factor -150/19*t - 4/19*t**2 - 74/19.
-2*(t + 37)*(2*t + 1)/19
Suppose 11 = 4*h + 11. Suppose h = -3*z + 12, 0*v + 2*z - 12 = -v. Let 0*k + 0 + 0*k**3 + 1/4*k**5 - 1/4*k**v + 0*k**2 = 0. What is k?
0, 1
Let l = -2756/141 + 950/47. Factor -2/15*m**3 + 4/15 + 8/15*m**2 - l*m.
-2*(m - 2)*(m - 1)**2/15
Let l(h) = -h**3 - h**2 + 3*h. Let i(w) = 2*w**3 - 5*w. Let z(f) = -3*i(f) - 5*l(f). Factor z(s).
-s**2*(s - 5)
Let s(z) = -23*z**3 + 27*z**2 - 201*z - 196. Let h(n) = -2*n**3 - 3*n. Let m(k) = -44*h(k) + 4*s(k). Solve m(a) = 0.
-1, 14
Let j(z) = 2*z + 4. Let w be j(6). Let f = w + -12. Let 7*p**2 - p**4 + 9*p + 2*p**f - 9*p**3 - 10*p**2 - 4*p**4 + 6 = 0. Calculate p.
-2, -1, 1
Suppose 0 = -2*q + i + 11, 5*q - 30 = -2*i + 7*i. Factor -92*r**5 - 10*r**3 + 2*r**4 + 22*r**q - 57*r**4.
-5*r**3*(2*r + 1)*(7*r + 2)
What is i in -7*i**2 - 22*i**3 - 24*i**2 - 2*i**4 - 6*i**2 - 11*i**2 = 0?
-8, -3, 0
Let l(t) = 2*t**4 - 144*t**3 + 2460*t**2 - 4480*t + 2170. Let s(w) = w**3 - 2*w**2 - w + 1. Let d(n) = l(n) + 8*s(n). Factor d(f).
2*(f - 33)**2*(f - 1)**2
Let v(o) = 2*o**3 + 77*o**2 + 323*o + 3. Let g = 31 - 6. Let x(r) = 15*r**3 + 615*r**2 + 2585*r + 25. Let f(z) = g*v(z) - 3*x(z). Factor f(y).
5*y*(y + 8)**2
Suppose 11 = 4*u - n - 2, 16 = 3*u - 2*n. Factor -4*m - 5*m**u - 10*m**4 - 22*m**3 + 3*m - 9*m**2 - m.
-2*m*(m + 1)**2*(5*m + 1)
Let a be (-1320)/(-2)*(-3)/45*-6. Let u = 1323/5 - a. Determine b, given that u*b - 3/5*b**3 + 6/5 - 6/5*b**2 = 0.
-2, -1, 1
Factor 5*b**2 + 223 + 88 + 120*b + 35*b + 174 - 65.
5*(b + 3)*(b + 28)
Let x(w) = -w**2 + 35*w - 77. Let p(j) = -5*j - 1. Let g(r) = -4*p(r) + 4*x(r). Determine v, given that g(v) = 0.
2, 38
Let b be (-1*2/(-6))/(3/45). Suppose b = -f, -2*h + 5*f - f + 24 = 0. Factor -4/3 + 0*p**4 - 8/3*p**3 + h*p + 2/3*p**5 + 4/3*p**2.
2*(p - 1)**3*(p + 1)*(p + 2)/3
Let t be (4/(-174)*-29)/((-7)/(-6)). Solve -6/7*k**2 - 2/7*k + t = 0 for k.
-1, 2/3
Let g(o) be the second derivative of -o**7/210 - o**6/30 - 7*o**5/100 + o**4/60 + 4*o**3/15 + 2*o**2/5 + 74*o. Solve g(y) = 0 for y.
-2, -1, 1
Let a(c) be the second derivative of -c**4/96 + c**3/8 - 9*c**2/16 - 39*c + 2. Solve a(j) = 0 for j.
3
Factor 4 + 51*b**2 + 16 + 57*b - 18 + 4.
3*(b + 1)*(17*b + 2)
Let h(i) be the first derivative of -i**7/560 + i**6/160 - i**4/32 + i**3/16 - 15*i**2/2 - 10. Let a(t) be the second derivative of h(t). Factor a(r).
-3*(r - 1)**3*(r + 1)/8
Let f(q) be the third derivative of -q**6/600 - 4*q**5/75 - 29*q**4/120 - 7*q**3/15 - 98*q**2. Determine h so that f(h) = 0.
-14, -1
Let r(n) be the third derivative of -n**5/270 - n**4/18 - 5*n**3/27 - 175*n**2. Factor r(d).
-2*(d + 1)*(d + 5)/9
Let b(a) be the first derivative of -16 + 0*a - 1/10*a**5 + 0*a**2 + 0*a**4 + 1/6*a**3. Factor b(l).
-l**2*(l - 1)*(l + 1)/2
Let i = 6991 - 34954/5. Suppose i*j**4 - 8/5 - 4/5*j + 6/5*j**2 + j**3 = 0. What is j?
-2, 1
Suppose -3678*n - 88 = -3686*n. Let d(i) be the third derivative of 0*i - n*i**2 + 0*i**3 + 0 - 1/204*i**4 - 1/510*i**5. Let d(w) = 0. Calculate w.
-1, 0
Let k(p) = -24*p**2 + 1080*p + 12. Let v be k(45). Suppose -v*h - 9/4*h**2 - 15/4 = 0. Calculate h.
-5, -1/3
Let x(g) be the first derivative of -g**4/24 - 13*g**3/3 + 432. Factor x(q).
-q**2*(q + 78)/6
Let v(u) = -u**4 - u**2 + u. Let m(c) = 0*c**2 - 4*c**2 - 90*c**3 - 12*c + 78*c**3 + 4*c**4. Let h(n) = -m(n) - 8*v(n). Factor h(s).
4*s*(s + 1)**3
Let n be 8/36*3*531/118. Factor 0 - 2*v + 4*v**2 - 5/2*v**n + 1/2*v**4.
v*(v - 2)**2*(v - 1)/2
Let k(c) be the third derivative of -5*c**7/42 + c**6/6 + 8*c**5/5 - 10*c**4/3 + 8*c**3/3 + 174*c**2. Determine l so that k(l) = 0.
-2, 2/5, 2
Let y be (0 - -1)/(8/144). Let p be 1/9 + 6/y. Determine g so that 2/9 - p*g + 2/9*g**2 = 0.
1
Let w be (3/(-3) - -2)*(-8)/8. Let g be w*(-2)/(-6)*3 + 3. Suppose 8/5 + 2/5*v**g - 2*v**4 + 82/5*v**3 - 10*v**5 - 32/5*v = 0. What is v?
-1, 2/5, 1
Determine a so that 0 + 32/15*a**2 + 2/15*a**4 + 0*a - 16/15*a**3 = 0.
0, 4
Let r be (870/70)/(2/(-7)). Let l = 45 + r. Find n, given that n**2 + l*n + 1/6*n**3 + 0 = 0.
-3, 0
Factor 4/3*s**2 + 4/3*s + 0.
4*s*(s + 1)/3
Let q be 6/(-33) + (-58)/44. Let r = 7/4 + q. Factor 1/2 + r*s**2 + 3/4*s.
(s + 1)*(s + 2)/4
Let p(x) = -x + 3. Let c be p(-5). Let z be 1 - (c/(-2))/1. Factor f - 36*f**3 - z*f + 24*f**2 + 0*f.
-4*f*(3*f - 1)**2
Let p(a) be the first derivative of 16*a**3/21 + 146*a**2/7 - 150*a/7 - 333. Let p(y) = 0. Calculate y.
-75/4, 1/2
Suppose 0 = 35*u - 142 + 72. Let -16/9*n + 0 + 4/9*n**u = 0. What is n?
0, 4
Suppose 3*m + 2*v = 6*m - 12, -3*v = m - 4. Determine g so that -2*g**3 - 14/5*g - 2/5*g**m - 4/5 - 18/5*g**2 = 0.
-2, -1
Let s(t) be the first derivative of 2*t**3/7 + 7*t**2 - 68*t/7 - 678. Determine n so that s(n) = 0.
-17, 2/3
Let r(g) be the second derivative of -g**6/105 - g**5/7 - 16*g**4/21 - 32*g**3/21 + g - 44. Suppose r(q) = 0. What is q?
-4, -2, 0
Suppose 4*c - 41 = 3*g - 10, 2*c = -5*g + 9. Suppose -4*i = -3*j + 13, c = 4*j + i + 4*i. Determine v, given that -2/19*v**j - 2/19*v**2 + 2/19*v + 2/19 = 0.
-1, 1
Let t(u) = -3 - 6*u**2 - 1 + 11*u - 10 - 2. Let l(a) = -a**2 + 2*a - 3. Let i = 10 - -12. Let w(d) = i*l(d) - 4*t(d). Suppose w(z) = 0. Calculate z.
-1, 1
Let q(w) be the first derivative of w**6/120 + w**5/30 + w**4/24 + 6*w**2 + 13. Let v(z) be the second derivative of q(z). Determine s, given that v(s) = 0.
-1, 0
Let l(u) be the second derivative of -12*u**7/7 - 56*u**6/5 - 41*u**5/2 - 25*u**4/2 + 143*u. Factor l(w).
-2*w**2*(w + 3)*(6*w + 5)**2
Let r(t) be the third derivative of t**8/392 + 17*t**7/735 + t**6/20 + t**5/70 - t**4/21 - 2*t**2 - 96*t. Let r(u) = 0. Calculate u.
-4, -1, 0, 1/3
Let f = 7367/96 + -237/32. Let o = 70 - f. Determine q, given that -2/3*q**4 + 4/3*q**2 + 0*q + o*q**3 + 0 = 0.
-1, 0, 2
Let a(y) = -2*y - 2. Let l(n) = n**2 - 11*n - 22. Let d(p) = -2*a(p) + l(p). Factor d(t).
(t - 9)*(t + 2)
Let o(g) be the first derivative of -2*g**3/27 + 28*g**2/9 - 64*g/3 - 256. Factor o(z).
-2*(z - 24)*(z - 4)/9
Let y be 1 + (7 + -5 - 1). Let p(b) be the first derivative of 1/