- 6/5*h + 3/5*h**a = 0. Calculate h.
-1, 0, 2
Let z(d) be the second derivative of -43*d - 5/4*d**5 + 0*d**3 + 0 + 5/14*d**7 + 0*d**2 - 2/3*d**6 + 5/6*d**4. Let z(i) = 0. What is i?
-1, 0, 1/3, 2
Let m = 26 + -11. Find z such that 5*z**2 + z**2 - m - 12*z - z**2 + 2*z = 0.
-1, 3
Suppose 7*k + 4*c = 10, 11 = 307*k - 303*k - 3*c. Suppose 4/7*j**k - 8/7 - 4/7*j = 0. What is j?
-1, 2
Let u(o) = -o**2 + 1. Let z(q) = -q**3 + 2*q**2 - 2*q + 1. Let x(b) = 2*u(b) - 2*z(b). Solve x(m) = 0.
0, 1, 2
Suppose n = -f + 2*n - 1, n - 3 = 2*f. Let p be (1/f - (-250)/140) + -1. Factor 12/7*o**3 + 0 + p*o**4 + 0*o + 18/7*o**2.
2*o**2*(o + 3)**2/7
Let g(p) be the second derivative of -p**6/75 + 3*p**5/25 - 2*p**4/5 + 8*p**3/15 - p - 13. Solve g(w) = 0 for w.
0, 2
Let i be (-133)/2*(-72)/42. Determine n, given that -1858 + i*n + 1828 - 7*n - 7*n**2 = 0.
2/7, 15
Let b be -2 + 1/(-1) + (-145)/(-696)*24. Factor 4/17*v - 2/17*v**b + 16/17.
-2*(v - 4)*(v + 2)/17
Find x such that 0 + 1/4*x**5 - 5/4*x**3 - 3/4*x**4 + 3/4*x**2 + x = 0.
-1, 0, 1, 4
Let 8*h - 4/3*h**2 - 8/9*h**3 - 6 + 2/9*h**4 = 0. Calculate h.
-3, 1, 3
Let z(m) = 4*m**2 + 48*m. Let j(p) = p. Let o(t) = -4*j(t) - z(t). Let o(d) = 0. What is d?
-13, 0
Let g(o) = 4*o**2 + 215*o + 2697. Let k(r) = 2*r**2 + 107*r + 1349. Let y(q) = -6*g(q) + 14*k(q). Solve y(z) = 0 for z.
-26
Let y be (-20)/(-4) - (-39)/(-9). Let f(c) be the second derivative of c + 1/12*c**4 + 0 - y*c**3 + 1/5*c**5 - 1/2*c**2. Factor f(n).
(n - 1)*(n + 1)*(4*n + 1)
Let m(z) be the second derivative of -4/13*z**2 + 14*z + 1/130*z**5 - 1/39*z**4 + 0 - 7/39*z**3. Factor m(b).
2*(b - 4)*(b + 1)**2/13
Let q be 1*-1 - (-51)/39. Suppose -2*a + 20*a = 5*a + 52. Let -10/13*g**3 - 2/13*g + 0 + q*g**a + 8/13*g**2 = 0. What is g?
0, 1/2, 1
Let j = 1/2756 + 2751/13780. Factor 0 - j*d + 1/5*d**2.
d*(d - 1)/5
Suppose 3*t - 6 = 3*g, -5*g - 4 = t - 3*t. Suppose 51 - 3*s**t + 6*s**2 + 2*s**2 + 40*s + 29 = 0. What is s?
-4
Let l(c) be the second derivative of -c**5/80 + c**4/48 + 3*c**3/8 - 9*c**2/8 - 6*c - 3. Factor l(k).
-(k - 3)*(k - 1)*(k + 3)/4
Let s(u) be the second derivative of -u**6/1440 - u**5/240 + 2*u**3/3 + 10*u. Let p(j) be the second derivative of s(j). Find q, given that p(q) = 0.
-2, 0
Let -11621*t + 75125*t + 756*t**2 + 3*t**3 + 2*t**3 + 1778112 - 2*t**3 = 0. What is t?
-84
Let p = 12966 - 90747/7. Factor -p*t + 18/7*t**2 - 3/7*t**3 + 0.
-3*t*(t - 5)*(t - 1)/7
Let k = -10 - -20. Suppose -51 = -21*y + 12. Factor k + 7 + 5*c**y - 17.
5*c**3
Let a(v) be the second derivative of v**2 + 1/12*v**4 - 5/6*v**3 + 9*v + 0 + 1/10*v**5. Suppose a(o) = 0. What is o?
-2, 1/2, 1
Let a(x) = -x**2 + 68*x - 313. Let q be a(63). Suppose -1/6*f + 1/2*f**q + 0 + 1/6*f**4 - 1/2*f**3 = 0. What is f?
0, 1
Suppose 99*r - 104*r - 4 = 2*y, 5*r = -4*y - 8. Find x such that -1/3*x**4 + r*x**2 + 2/3*x + 1/3 - 2/3*x**3 = 0.
-1, 1
Let g = -1386 - -6934/5. Factor 1/5*a**4 + g - 6/5*a**3 + 13/5*a**2 - 12/5*a.
(a - 2)**2*(a - 1)**2/5
Let z = 59/21 + -55/42. Factor 0 - 1/2*m**2 + z*m.
-m*(m - 3)/2
Factor 18 - 31 - 80 + 325*x + 23 - 45*x**2.
-5*(x - 7)*(9*x - 2)
Suppose 2/19*n**3 - 8/19*n - 10/19*n**2 + 40/19 = 0. What is n?
-2, 2, 5
Let m(t) be the third derivative of -t**7/210 + t**6/120 + t**5/5 - 7*t**4/6 + 8*t**3/3 - 3*t**2 - 3*t. Factor m(h).
-(h - 2)**2*(h - 1)*(h + 4)
Let r(p) be the first derivative of p**6/2 - 102*p**5/5 + 189*p**4 + 648*p**3 + 124. Factor r(i).
3*i**2*(i - 18)**2*(i + 2)
Let i(j) be the first derivative of 0*j - 34 - 25/8*j**6 + 3/2*j**2 + 63/16*j**4 + 3*j**5 - 5*j**3. Suppose i(d) = 0. What is d?
-1, 0, 2/5, 1
Let s(c) be the first derivative of -4*c**5/5 + 10*c**4 - 28*c**3/3 - 36*c**2 - 56. Suppose s(w) = 0. What is w?
-1, 0, 2, 9
Let r(o) be the third derivative of o**6/420 - 2*o**5/105 - 5*o**4/84 - 52*o**2. Let r(m) = 0. What is m?
-1, 0, 5
Let x(s) be the first derivative of 13*s**2 + 9*s**4 - 3 - 56/3*s**3 + 5*s. Let z(d) = 7*d**3 - 11*d**2 + 5*d + 1. Let v(y) = 6*x(y) - 33*z(y). Factor v(u).
-3*(u - 1)**2*(5*u + 1)
Let s(c) be the first derivative of -c**4/14 + 10*c**3/21 - 8*c**2/7 + 8*c/7 + 48. Find j such that s(j) = 0.
1, 2
Let p(j) = 3*j - 31. Let q be p(-6). Let b = 51 + q. Factor 1/6*z**b + 1/6 - 1/3*z.
(z - 1)**2/6
Let c(i) be the third derivative of i**8/1512 + i**7/135 - i**6/108 - 5*i**5/18 - 30*i**2 + 2*i. Solve c(f) = 0 for f.
-5, 0, 3
Suppose 2*b - 4 = w, -2*w - 8 = -3*b + 6*b. Let o be (w/(-28))/(-2 + 1)*-1. Determine p so that o*p**2 + 0 - 1/7*p**3 + 2/7*p = 0.
-1, 0, 2
Let b(t) = -3*t**3 - 18*t**2 - 11*t + 22. Let m be b(-5). Factor 2/3*g**5 + 0*g + 0*g**m - 4/3*g**3 - 2/3*g**4 + 0.
2*g**3*(g - 2)*(g + 1)/3
Let r(p) = 3*p**3 + 1534*p**2 + 156060*p + 5306042. Let o(g) = 5*g**3 + 3070*g**2 + 312120*g + 10612085. Let w(m) = 2*o(m) - 5*r(m). Factor w(j).
-5*(j + 102)**3
Suppose 5*g - 23 = q, 19*g + 20 = 5*q + 21*g. Factor -1 + 0*i**4 + i**q - 3/2*i + 2*i**3 - 1/2*i**5.
-(i - 2)*(i - 1)*(i + 1)**3/2
Solve -4/7 + 2/7*n**2 + 2/7*n = 0.
-2, 1
Suppose -25*k = 36*k - 183. Let p(r) be the third derivative of 0 + 0*r + 0*r**k + 0*r**4 + 4*r**2 + 1/70*r**7 - 1/20*r**6 + 0*r**5. Factor p(z).
3*z**3*(z - 2)
Let f(a) be the second derivative of -a**4/30 - a**3/15 + 12*a**2/5 + 89*a - 2. Determine o, given that f(o) = 0.
-4, 3
What is a in 0 + 8/5*a + 18/5*a**2 + 0*a**4 - 1/5*a**5 + 11/5*a**3 = 0?
-2, -1, 0, 4
Let p(t) be the second derivative of t**6/70 - t**4/14 + 3*t**2/14 + 40*t. Suppose p(o) = 0. What is o?
-1, 1
Let g(q) = -q**3 + 3*q**2 - 1. Let s be g(2). Factor 23*w**4 - 4*w - w**s - 12*w**4 + w**5 - 7*w**4 + 4*w**3 - 4*w**2.
w*(w - 1)*(w + 1)*(w + 2)**2
Let g(j) be the first derivative of 1/5*j**3 + 28 + 6*j - 33/10*j**2. Solve g(x) = 0.
1, 10
Let n(f) be the second derivative of -2*f**7/21 - 26*f**6/15 - 48*f**5/5 - 12*f**4 - 3*f + 16. Factor n(p).
-4*p**2*(p + 1)*(p + 6)**2
Let a(x) be the second derivative of -x**6/600 - x**5/150 - x**4/120 + 7*x**2/2 + 15*x. Let d(n) be the first derivative of a(n). Determine w so that d(w) = 0.
-1, 0
Let i(v) be the second derivative of -v**6/6 + v**5/2 - 5*v**4/12 + 34*v + 3. Factor i(r).
-5*r**2*(r - 1)**2
Suppose 5*p + 5*u - 40 = p, -5*u + 30 = 2*p. Let v(x) be the third derivative of 5*x**2 - x**3 + 1/8*x**4 + 0 + 1/20*x**p + 0*x. Solve v(n) = 0 for n.
-2, 1
Let g(n) be the third derivative of 3*n**7/245 - n**6/140 - 59*n**5/210 - 37*n**4/84 - 2*n**3/7 - 6*n**2 - 2*n. Let g(y) = 0. What is y?
-2, -1/3, 3
Let r be -224*22/(-847) + (-2)/(-11). Factor 24*i + 32 + 1/2*i**3 + r*i**2.
(i + 4)**3/2
Let p(f) be the first derivative of -54/35*f**5 - 32/7*f + 14 - 96/7*f**3 - 80/7*f**2 - 54/7*f**4. Factor p(o).
-2*(o + 2)*(3*o + 2)**3/7
Let z(f) = f**2 - 1. Let k(c) = 2*c**2 + c - 1. Let h(u) = 4*k(u) - 7*z(u). Let l be h(0). Factor -1/6*d**4 + 1/6*d**l + 0 + 1/6*d**2 - 1/6*d.
-d*(d - 1)**2*(d + 1)/6
Determine b, given that -3/2*b**5 - 18*b**3 + 0 + 15*b**2 - 9/2*b + 9*b**4 = 0.
0, 1, 3
Let i(k) be the first derivative of -k**7/2100 + k**6/225 - k**5/60 + k**4/30 - 35*k**3/3 - 37. Let x(d) be the third derivative of i(d). Factor x(b).
-2*(b - 2)*(b - 1)**2/5
Suppose 16 = 4*t - 0. Factor t - 12*u + 8 - 20 - 4*u**2.
-4*(u + 1)*(u + 2)
Let b be (88/16 - 7)/(3/(-4)). Let -5*k**2 + 4 + 83*k - 168*k + b*k**3 - 1 + 81*k = 0. Calculate k.
-1, 1/2, 3
Suppose -5*h + 125 = 20*h. Let m(k) be the third derivative of 0 - 7*k**2 + 0*k**3 + 0*k + 1/40*k**h + 0*k**4. Suppose m(u) = 0. What is u?
0
Let m(i) = 7*i**2 + 33*i - 35. Let r(u) = 3*u**2 + 17*u - 18. Let h(d) = 2*m(d) - 5*r(d). Find l, given that h(l) = 0.
-20, 1
Let t(b) be the second derivative of -9*b**4/4 - 7*b**3 + 12*b**2 + 867*b. Suppose t(r) = 0. What is r?
-2, 4/9
Let p(y) be the first derivative of y**3 - 22 - 3/4*y**4 - 3/5*y**5 + 0*y + 3/2*y**2. Solve p(k) = 0.
-1, 0, 1
Factor 0 - 6/11*t**3 + 2/11*t**5 - 4/11*t - 10/11*t**2 + 2/11*t**4.
2*t*(t - 2)*(t + 1)**3/11
Let g(a) be the third derivative of -a**5/24 + 11*a**4/96 - a**3/24 + 45*a**2. Factor g(u).
-(u - 1)*(10*u - 1)/4
Let q(a) = -a - 7. Let p be q(-12). Let s(b) be the first derivative of -3/2*b**4 + 3/2*b**6 + 0*b + 0*b**3 + 0*b**2 + 2 - 3/5*b**p. Solve s(y) = 0.
-2/3, 0, 1
Let v(p) be the second derivative of -7*p**4/8 - 13*p**3/4 - 9*p**2/2 - 2*p + 32. Determine y, given that v(y) = 0.