+ f**4 - 74*f**3 - 15*f**4 = 0. What is f?
0, 2/5, 9
Let v be (-52)/16 + (-1)/(-4). Let p = 17 + v. Factor 41*z - 17*z + p*z**2 - 1 - 7.
2*(z + 2)*(7*z - 2)
Let h(m) = -m**3 - 9*m**2 + 17*m - 53. Let f be h(-11). Let a be (-72)/80*(-10)/12. Determine t, given that -3/2*t**3 - a + 0*t + 9/4*t**f = 0.
-1/2, 1
Let r(v) = 5*v**3 + 5*v**2 + 10*v - 2. Suppose -42 = -3*j + 9*j. Let m(x) = -6*x**3 - 6*x**2 - 11*x + 3. Let d(o) = j*r(o) - 6*m(o). Let d(t) = 0. Calculate t.
-2, -1, 2
Let -t**4 + 5*t**3 + 27 - 5*t + 7*t**2 - 48 + 15 = 0. Calculate t.
-1, 1, 6
Let n(s) be the second derivative of 0 + 1/240*s**5 - 3/2*s**2 - 1/12*s**3 - 1/96*s**4 + 5*s. Let z(l) be the first derivative of n(l). Factor z(y).
(y - 2)*(y + 1)/4
Find c, given that 2/17*c**2 + 11552/17 + 304/17*c = 0.
-76
Let t(f) be the third derivative of 3*f**8/7840 + f**7/735 + f**6/630 - 5*f**4/8 + 2*f**2. Let r(w) be the second derivative of t(w). Factor r(b).
2*b*(3*b + 2)**2/7
Let s(v) be the first derivative of -7 - 2*v**3 + 6*v - 3/2*v**2 + 3/4*v**4. Factor s(d).
3*(d - 2)*(d - 1)*(d + 1)
Let k = -7745/7 + 1109. Factor -12/7*l**2 - 8/7*l**4 - k*l**3 + 0 - 2/7*l.
-2*l*(l + 1)**2*(4*l + 1)/7
Factor 1/5*w**3 + 0 + 0*w - 12/5*w**2.
w**2*(w - 12)/5
Let r(z) be the first derivative of -z**5/20 + z**4/16 + 5*z**3/12 + 3*z**2/8 - 348. Determine y, given that r(y) = 0.
-1, 0, 3
Suppose 3*s = -4*k - 2*s + 7, 2*s = 4*k - 14. Suppose 0 = -3*r - r - k*r. Factor 0 + r*x + x**4 + 1/3*x**3 + 0*x**2.
x**3*(3*x + 1)/3
Let i(z) be the third derivative of -z**6/120 + 2*z**5/15 - 7*z**4/24 + 2*z**3/3 + z**2. Let l be i(7). Factor -3*a + a**l + 4*a + a - 3*a**2.
a*(a - 1)**2*(a + 2)
Let s(b) be the third derivative of b**6/60 - 3*b**5/20 + 9*b**3/2 - 80*b**2. Let s(t) = 0. What is t?
-3/2, 3
Let k be -5 + 2*(-98)/(-28). Find p such that -2/17*p**k - 8/17 - 10/17*p = 0.
-4, -1
Let t = 2/869 - -853/6952. Let c(f) be the first derivative of 1/5*f**5 - 12 + 0*f + 0*f**3 + t*f**4 + 1/12*f**6 + 0*f**2. Solve c(h) = 0 for h.
-1, 0
Solve -25/3*f**3 - 40/3*f**2 + 19/3*f - 2/3 = 0.
-2, 1/5
Let t(i) = i**2 + 2. Let l(v) = -15*v**2 - 45*v - 156. Let m(d) = -l(d) - 12*t(d). Determine y so that m(y) = 0.
-11, -4
Let q = -41 - -1231/30. Let c(l) be the third derivative of 0*l + 0*l**4 + q*l**5 + 0 - 1/3*l**3 + 2*l**2. Determine x so that c(x) = 0.
-1, 1
Let y be ((-371)/70 - -5)*-10. Let q(f) be the second derivative of 1/10*f**5 - 1/10*f**6 + 3*f + 0 + 1/42*f**7 + 1/2*f**2 - 1/2*f**y + 1/6*f**4. Factor q(o).
(o - 1)**4*(o + 1)
Let z(d) be the third derivative of d**5/540 + 11*d**4/108 - 23*d**3/54 + 172*d**2. Determine o, given that z(o) = 0.
-23, 1
Let d(l) = -l**3 - 14*l**2 - 3*l + 19. Let v be d(-7). Let s = v + 913/3. Solve 0*b**2 + 4/3*b**3 + 0 - s*b = 0 for b.
-1, 0, 1
Factor 30*n**4 - 3*n**3 + 3*n**2 - 12*n**2 + 24*n**3.
3*n**2*(n + 1)*(10*n - 3)
Let w(h) = -332*h**3 - 198*h**3 + 875*h**2 + 281*h**3 - 444*h + 60. Let t(o) = o**3 + o. Let g(a) = -4*t(a) - w(a). Factor g(f).
5*(f - 3)*(7*f - 2)**2
Let l(o) be the third derivative of 1/315*o**7 + 0*o + 1/90*o**6 + 0 - 1/9*o**3 + 0*o**5 - 1/18*o**4 + o**2. Factor l(w).
2*(w - 1)*(w + 1)**3/3
Let i(y) be the third derivative of y**2 + 1/210*y**5 + 1/42*y**4 + 0*y + 0 - 1/7*y**3. Factor i(w).
2*(w - 1)*(w + 3)/7
Factor 925/3 - 310*m + 5/3*m**2.
5*(m - 185)*(m - 1)/3
Suppose 265*i + y = 268*i - 1, -12 = -i - 2*y. Factor 0 - 12/17*p**i - 2/17*p**3 - 18/17*p.
-2*p*(p + 3)**2/17
Let j(i) be the second derivative of 3*i**5/20 - i**4/2 + i**3/2 + 2*i**2 + i. Let s(a) be the first derivative of j(a). Let s(k) = 0. Calculate k.
1/3, 1
Let h = 102 + -94. Let i be h/30 - (4 - 176/40). Suppose 0*p + i - 2/3*p**2 = 0. Calculate p.
-1, 1
Suppose 0 = f + 12*f + 11*f. Let h(l) be the first derivative of 2/3*l**2 - 2/15*l**5 + 2/3*l**3 + f*l**4 + 0*l + 1. Suppose h(c) = 0. What is c?
-1, 0, 2
Factor 4*y**3 + y**3 - 3 - 17 - 13*y**2 + 28*y**2.
5*(y - 1)*(y + 2)**2
Let o(r) be the second derivative of r**4/60 + 7*r**3/15 + 46*r. Determine d so that o(d) = 0.
-14, 0
Factor 36/11 - 3*u - 1/11*u**3 + 10/11*u**2.
-(u - 4)*(u - 3)**2/11
Let n(z) = 3*z**2 + 3*z + 1. Let s be n(-3). Solve 6 - 12*b**3 + 5*b**2 - 10*b**4 - 2*b**5 - b**2 - 5*b + s*b = 0 for b.
-3, -1, 1
Let u(o) = o**3 + 1. Let j(n) = 92 - 98 - 2*n**2 - 4*n**3 + 12*n**2. Let v(y) = -j(y) - 6*u(y). Factor v(f).
-2*f**2*(f + 5)
Suppose -44 = -5*n + n - 4*c, 3*n - 31 = -5*c. Suppose -w + 5*w = n. Find l such that 0*l**w - 6*l + 3*l**3 - 6*l**2 + 0 - 5*l**3 - 2 = 0.
-1
Let v(w) be the first derivative of w**4/2 - 4*w**3 - 15*w**2 - 16*w - 19. Suppose v(d) = 0. What is d?
-1, 8
Let k(z) = -5*z**4 + 114*z**3 - 3134*z**2. Let t(u) = 12*u**4 - 229*u**3 + 6267*u**2. Let b(r) = 10*k(r) + 4*t(r). Factor b(n).
-2*n**2*(n - 56)**2
Let q(o) be the third derivative of 0 + 0*o**3 + 0*o + 3/4*o**5 + 13*o**2 + 1/42*o**7 - 5/6*o**4 - 1/4*o**6. Factor q(h).
5*h*(h - 4)*(h - 1)**2
Let d(a) be the third derivative of -a**8/560 + 11*a**7/280 - a**6/5 - 9*a**5/10 - 4*a**3/3 - 4*a**2 + a. Let p(z) be the first derivative of d(z). Factor p(v).
-3*v*(v - 6)**2*(v + 1)
Let z(t) be the first derivative of t**5/5 - 195*t**4/2 + 37633*t**3/3 + 38220*t**2 + 38416*t - 217. Factor z(s).
(s - 196)**2*(s + 1)**2
Suppose -1 - 2 = -h. Factor -4*c**4 + 4*c**3 + 2*c**4 - 2*c**5 - 3*c**h + 3*c**3.
-2*c**3*(c - 1)*(c + 2)
Let j(b) be the third derivative of b**8/840 + 4*b**7/525 - b**5/15 - b**4/60 + 2*b**3/5 - 2*b**2. Solve j(o) = 0 for o.
-3, -2, -1, 1
Let a(p) be the third derivative of p**7/630 + p**6/45 + 2*p**5/15 + 11*p**4/8 + 28*p**2. Let l(j) be the second derivative of a(j). What is h in l(h) = 0?
-2
Let g(v) be the second derivative of -v**6/135 + 2*v**5/45 - v**4/18 + 253*v. Factor g(m).
-2*m**2*(m - 3)*(m - 1)/9
Let u(l) be the second derivative of l**6/6 + 15*l**5/2 + 375*l**4/4 + 2*l + 2. Factor u(v).
5*v**2*(v + 15)**2
Let l = -24 + 26. Let h be l/6*(-9 + 9). Factor -2*c + 2*c**5 - 4*c**4 + 2*c**2 + h*c**5 + 2*c**2.
2*c*(c - 1)**3*(c + 1)
Let b be ((-15)/20)/((-21)/112). Let t(r) be the second derivative of 1/20*r**b - 1/10*r**3 + 0 + 0*r**2 + 2*r. Factor t(c).
3*c*(c - 1)/5
Let g(p) be the third derivative of -p**6/960 - 13*p**5/480 - p**4/4 - 3*p**3/4 - 35*p**2. Find m, given that g(m) = 0.
-6, -1
Let x(k) be the second derivative of -5*k**4/12 + 55*k**3/2 - 80*k**2 - k + 15. Let x(y) = 0. What is y?
1, 32
Suppose 4 = -162*n + 164*n. Let g(u) be the second derivative of -u + 0*u**4 + 0 - 3/10*u**5 + 1/10*u**6 - 3/2*u**n + u**3. Factor g(r).
3*(r - 1)**3*(r + 1)
Let g(c) be the second derivative of -c**4/6 - 53*c**3/3 + 54*c**2 + 5*c + 8. Factor g(q).
-2*(q - 1)*(q + 54)
Let l = 1450 - 1448. Let p(s) be the first derivative of 1/22*s**4 - 1 + 0*s + 0*s**3 - 1/11*s**l. Let p(c) = 0. Calculate c.
-1, 0, 1
Suppose 0*n = 4*n - 8. Factor 2*t**n - 15*t**4 - 207*t**3 + 192*t**3 - 5*t**5 - 7*t**2.
-5*t**2*(t + 1)**3
Suppose 10*g = -392 + 422. Let p(s) be the first derivative of -5/6*s**2 - g + 2/3*s - 1/3*s**4 - 11/9*s**3. Factor p(d).
-(d + 1)*(d + 2)*(4*d - 1)/3
Let q(o) = o + 14. Let t(j) = 5*j + 57. Let r(f) = -9*q(f) + 2*t(f). Let y be r(12). Factor -4/7*c**2 - 8/7*c + y.
-4*c*(c + 2)/7
Determine p so that -16 + 22 + 52*p - 31*p**2 + 26 + 51*p**2 = 0.
-8/5, -1
Let m(n) be the first derivative of 2/9*n**3 - 5*n + 1/36*n**4 + 5 + 2/3*n**2. Let h(r) be the first derivative of m(r). Factor h(a).
(a + 2)**2/3
Suppose -40 = -4*x + 4*n, -5*n + 0*n + 50 = 5*x. Determine o so that 7*o**4 - 5*o**5 + x*o + 15*o**4 - 5*o**3 - 15*o**2 - 7*o**4 = 0.
-1, 0, 1, 2
Let b be (-8)/6*18/(-4). Let z be 12 + (b - 3 - 5). Factor -4*q + z*q - 3*q**3 - 3*q.
-3*q*(q - 1)*(q + 1)
Let v(m) be the first derivative of m**4 + 20*m**3/3 - 16*m**2 - 48*m + 17. Find l, given that v(l) = 0.
-6, -1, 2
Let v(x) = -x**2 + 39*x - 137. Let q be v(35). Let s(w) be the first derivative of 0*w**2 + 1/3*w**3 - 1/8*w**4 + 0*w + q. Solve s(h) = 0 for h.
0, 2
Let q(k) be the second derivative of k**6/120 - k**5/40 - k**4/4 + 7*k**3/3 - 18*k. Let g(r) be the second derivative of q(r). Find i such that g(i) = 0.
-1, 2
Let a(f) be the second derivative of -f**7/112 - 7*f**6/80 - 57*f**5/160 - 25*f**4/32 - f**3 - 3*f**2/4 + 17*f. Factor a(y).
-3*(y + 1)**3*(y + 2)**2/8
Find s such that -148/3 - 292/3*s 