.
-1, 0, 1
Suppose 0 = 218*t - 238*t + 40. Suppose 4/9*m + 2/9 + 2/9*m**t = 0. Calculate m.
-1
Let f(q) be the third derivative of -q**8/3360 + q**7/84 - 23*q**6/400 + 67*q**5/600 - 11*q**4/120 - 5*q**2 + 13. Suppose f(h) = 0. Calculate h.
0, 1, 22
Suppose l - 692 = -3*s + 2*l, 2*s = -2*l + 464. Suppose 5*y + 86 - s = 0. Determine g so that 14*g**2 - y*g**2 - 6*g**3 - 2*g**4 + 11*g**2 = 0.
-2, -1, 0
Let s(m) = -m**3 - 2*m**2 - m + 3. Let d be s(-2). Factor -5 - 2*t**4 + 5*t**2 - d*t**3 + 5 + 5*t - 3*t**4.
-5*t*(t - 1)*(t + 1)**2
Let v(z) be the first derivative of z**4/8 + 11*z**3/6 - 25*z**2/4 + 13*z/2 - 259. Determine l so that v(l) = 0.
-13, 1
Let l be (7 - 5) + 2 + -2. Suppose -4*o + 3*o = -l. Let 0*n**3 - n**2 - 2*n**3 + 7*n**o - 4*n = 0. What is n?
0, 1, 2
Let w(c) = c**2 + 6*c + 8. Let p be w(-5). Factor -s + s**3 - 2 - 3*s**4 + 0*s + s**4 + s**4 + p*s**2.
-(s - 2)*(s - 1)*(s + 1)**2
Solve 18/5*x - 2/5*x**2 + 0 = 0 for x.
0, 9
Let p(u) be the first derivative of 3*u**4 - 10 - 52/3*u**3 + 26*u**2 - 12*u. Find k such that p(k) = 0.
1/3, 1, 3
Suppose -4*o + 2*o + 3*m = -19, -5*m - 25 = 0. Suppose b = -3*x + 11, 13 = -0*b + o*b + 3*x. Let 4/7 + 10/7*v**2 - b*v = 0. What is v?
2/5, 1
Suppose -k = -3*h + 1, 2*k + 5*h + 1 = k. Let b be (1/(-12))/k + (-3)/(-12). Factor 1/3*c**4 + 0 + 0*c - b*c**2 + 0*c**3.
c**2*(c - 1)*(c + 1)/3
Factor 0 + 88/3*g + 40/3*g**2 - 2/3*g**3.
-2*g*(g - 22)*(g + 2)/3
Let i(k) be the third derivative of k**6/120 - 7*k**4/24 + k**3 + 14*k**2. Factor i(g).
(g - 2)*(g - 1)*(g + 3)
Let o(s) be the first derivative of -s**4/16 + 3*s**3/2 - 33*s**2/8 + 4*s + 357. Let o(n) = 0. What is n?
1, 16
Factor -8/5*y**3 + 0 + 2/15*y**4 + 196/15*y + 14/5*y**2.
2*y*(y - 7)**2*(y + 2)/15
Let d(a) be the second derivative of a**6/120 - a**5/15 + a**4/8 + 13*a**2/2 + 21*a. Let v(h) be the first derivative of d(h). Find y such that v(y) = 0.
0, 1, 3
Suppose -4*l + 56 = 4*s + 16, -3*s - 34 = -5*l. Suppose j + l = 5*j. Factor -3*o**2 + o**2 + 2*o**4 + 2*o**3 - 3*o**3 + 3*o**3 - j*o.
2*o*(o - 1)*(o + 1)**2
Suppose -5063 + 1157 = -7*h. Let f be (-2)/12 - h/(-108). Factor 0*r**2 - 1/7*r**f + 2/7*r**3 + 0*r + 0 + 1/7*r**4.
-r**3*(r - 2)*(r + 1)/7
Let x(k) be the second derivative of k**6/30 + 2*k**5/5 + 17*k**4/12 + 5*k**3/3 + 65*k. Determine d so that x(d) = 0.
-5, -2, -1, 0
Suppose -28*c + 25*c = -4*y + 11, -4*c + 5*y - 13 = 0. Let 0 + 16/7*x**2 + 6/7*x**c - 6/7*x = 0. Calculate x.
-3, 0, 1/3
Let p(k) be the second derivative of -k**4/6 - 530*k**3/3 - 70225*k**2 + 963*k. Factor p(h).
-2*(h + 265)**2
Let s = 12224 - 281146/23. Factor -8/23*m + s*m**3 - 2/23*m**4 + 0*m**2 + 0.
-2*m*(m - 2)**2*(m + 1)/23
Let f be 1 - 11/(1452/108). Determine k so that f*k**4 - 2/11*k**5 - 4/11*k**2 + 4/11*k**3 + 2/11 - 2/11*k = 0.
-1, 1
Let o = -72 + 78. Solve -3*v**3 - 33*v**2 - 24*v + o*v + 12*v**2 = 0.
-6, -1, 0
Let j = -27 + 29. Let p be -2 + 1 + 0 + (-14)/(-10). Find s such that 3/5*s + 1/5*s**j + p = 0.
-2, -1
Let x(v) be the third derivative of v**7/350 - v**5/100 - 79*v**2 + 2*v. Find g such that x(g) = 0.
-1, 0, 1
Let d(t) be the second derivative of -t**4/18 + 2*t**3/9 - t**2/3 + 30*t - 2. Factor d(a).
-2*(a - 1)**2/3
Let o(i) be the first derivative of i**6/6 + 2*i**5 - 3*i**4/4 - 32*i**3/3 - 10*i**2 - 138. Find c, given that o(c) = 0.
-10, -1, 0, 2
Let p = -4761 - -4761. Let -3/4*v**4 - 3*v + p - 15/4*v**3 - 6*v**2 = 0. What is v?
-2, -1, 0
Let m(k) be the second derivative of 16/5*k**2 + 2/5*k**4 + 2*k**3 - k + 0 - 1/25*k**5. Suppose m(r) = 0. Calculate r.
-1, 8
Let g be (1/2)/(4/(28/(-5))). Let q = 83/90 + g. Find t, given that q + 2/9*t**2 - 4/9*t = 0.
1
Factor -a**2 + 12*a**3 + 65 + 20*a + 105*a - 17*a**3 + 40*a**2 + 16*a**2.
-5*(a - 13)*(a + 1)**2
Let l(b) be the first derivative of 1/3*b**3 + 4 + 1/8*b**4 - 1/20*b**5 - 1/4*b**2 - 3/4*b. Suppose l(f) = 0. What is f?
-1, 1, 3
What is p in 0*p + 2*p**3 + 0 + 2/3*p**4 + 4/3*p**2 = 0?
-2, -1, 0
Let l(w) be the third derivative of -w**9/37800 + w**7/1575 - 7*w**4/24 + 3*w**2. Let f(v) be the second derivative of l(v). Factor f(a).
-2*a**2*(a - 2)*(a + 2)/5
Let w(a) be the first derivative of a**5/15 + 5*a**4/36 + a**3/18 + 17*a + 16. Let o(r) be the first derivative of w(r). What is t in o(t) = 0?
-1, -1/4, 0
Let c(i) be the first derivative of -i**6/780 + i**5/390 + 8*i**2 - 16. Let p(j) be the second derivative of c(j). Let p(h) = 0. Calculate h.
0, 1
Let m(i) be the third derivative of -22*i**5/75 + 3*i**4/4 - i**3/15 - 48*i**2 - 4. What is c in m(c) = 0?
1/44, 1
Let j be (2/(-15)*-18 + -2)/(140/100). Find i, given that -4/7*i + 2/7 + j*i**2 = 0.
1
Let p(n) be the third derivative of n**9/272160 + n**8/10080 + n**7/945 + 2*n**6/405 - n**5/2 + 28*n**2. Let q(u) be the third derivative of p(u). Factor q(i).
2*(i + 1)*(i + 4)**2/9
Let k(j) be the second derivative of -j**7/126 + j**5/30 - j**3/18 - 6*j. Let k(d) = 0. What is d?
-1, 0, 1
Let l(y) be the second derivative of 3/20*y**6 + 27/80*y**5 + 1/56*y**7 - 27*y + 0*y**2 + 0*y**3 + 0 + 0*y**4. What is w in l(w) = 0?
-3, 0
Factor 72/19 - 104/19*j + 2/19*j**3 + 30/19*j**2.
2*(j - 2)*(j - 1)*(j + 18)/19
Let c(t) be the second derivative of t**6/75 + t**5/2 + 4*t**4/5 + t - 10. Suppose c(m) = 0. Calculate m.
-24, -1, 0
Let t(r) be the third derivative of r**7/35 - r**6/24 - 53*r**5/60 + 15*r**4/8 - 3*r**3/2 + 101*r**2. Let t(n) = 0. What is n?
-3, 1/3, 1/2, 3
Let r(x) be the second derivative of -8*x - 1/48*x**4 + 0*x**2 - 1/160*x**5 + 0 + 0*x**3. Factor r(v).
-v**2*(v + 2)/8
Factor -52*s + 9462*s**2 - 1 - 9464*s**2 + 55.
-2*(s - 1)*(s + 27)
Determine r, given that -32*r**2 + 311*r - 623*r + 56 + 332*r + 4*r**3 = 0.
-1, 2, 7
Let q(x) be the first derivative of x**7/210 - x**6/30 - 8*x**3/3 - 3. Let k(v) be the third derivative of q(v). Factor k(m).
4*m**2*(m - 3)
Suppose -5*j + 0 = 40. Let s = -4 - j. What is c in 4/9*c**2 + 2/9 + 2/3*c - 4/9*c**3 - 2/9*c**5 - 2/3*c**s = 0?
-1, 1
Let h be (12/(-6))/(1*(-2)/(-24)). Let u be 10/(-8) - h/12. Factor u*n**3 + 81/4 + 27/4*n**2 + 81/4*n.
3*(n + 3)**3/4
Let g(c) be the third derivative of 2*c**7/105 + 4*c**6/15 - 8*c**5/15 - 16*c**4 + 96*c**3 - c**2 + 23. Suppose g(f) = 0. Calculate f.
-6, 2
Let j(y) be the first derivative of y**4/7 - 24*y**3/7 + 30*y**2/7 + 136*y/7 + 11. Determine s so that j(s) = 0.
-1, 2, 17
Let r(b) be the third derivative of -9*b**6/80 + 13*b**5/40 - b**4/4 + 190*b**2. Solve r(d) = 0.
0, 4/9, 1
Let k(w) be the first derivative of -w**6/3600 + 5*w**3 + 4. Let x(z) be the third derivative of k(z). Factor x(r).
-r**2/10
Let q(y) be the second derivative of y**7/17640 - y**6/5040 + 5*y**4/6 + 11*y. Let u(m) be the third derivative of q(m). Factor u(d).
d*(d - 1)/7
Let v(u) = -4*u**2 - 40*u - 88. Let x(y) = 2*y**2 + y. Let m(l) = v(l) + 4*x(l). Let m(s) = 0. What is s?
-2, 11
Let d = 125 + -123. Suppose 2*s = 5*s, u = -3*s. Solve 2/5*f**d + 4/5*f**3 + 2/5*f**4 + 0 + u*f = 0 for f.
-1, 0
Let k = -29 + 31. Factor -212*y**k + 5*y - 9 + 211*y**2 - 11*y.
-(y + 3)**2
Let c(i) be the second derivative of -i**5/100 + 21*i**4/20 - 341*i**3/10 + 961*i**2/10 + 13*i - 14. Factor c(n).
-(n - 31)**2*(n - 1)/5
Let u(r) be the third derivative of r**5/60 + 11*r**4/2 + 726*r**3 - 377*r**2. Solve u(y) = 0 for y.
-66
Let b(v) be the second derivative of -1/3*v**3 + 8*v - 1/12*v**4 - 1/2*v**2 + 0. Factor b(s).
-(s + 1)**2
Let d(y) = -y**3 + y**2 + 5. Let h be d(0). Suppose 0 = h*n - 0*n - 4*n. Factor -2/5*c**2 - 2/5*c + n.
-2*c*(c + 1)/5
Let j = -47 - -49. Suppose -s - 3*p = -2*p + j, 5*p + 20 = 0. Factor -1/3 + 0*l**s + 2/3*l - 2/3*l**3 + 1/3*l**4.
(l - 1)**3*(l + 1)/3
Let g(k) be the third derivative of -k**7/1365 + k**5/390 + 152*k**2. Factor g(v).
-2*v**2*(v - 1)*(v + 1)/13
Find p, given that 56*p + 2/5*p**3 + 52/5*p**2 - 784/5 = 0.
-14, 2
Solve 3*b + 51*b**2 + b - 50*b**2 + 2*b = 0 for b.
-6, 0
Suppose -5*g - 21 = 4*s, -5*s = -s + 16. Let r = -1/3 - g. Factor 1/3*m**4 + 1/3 - 1/3*m + 2/3*m**3 - 1/3*m**5 - r*m**2.
-(m - 1)**3*(m + 1)**2/3
Let x(w) be the first derivative of -w**3/3 + w**2/2 + 30*w + 101. Determine f so that x(f) = 0.
-5, 6
Suppose m + 7*w - 4*w + 2 = 0, w = 3*m - 14. Suppose 4*l + m = 6*l. Find b, given that 0*b + l*b + 4*b + 2 - 8*b**2 = 0.
-1/4, 1
Let g(f) = -f**3 - f**2 - 4*f. Let b(z)