- 73*l - 7*l**5 + 46*l**2 + 174*l**3 - 128 + 10*l**4 - 59*l**5 = 0?
-1, 8/5
Let q be -7*(-9)/(126/(-20)). Let f(o) = o**2 + 9*o - 7. Let y be f(q). Factor 0 + 4/5*s - 2/5*s**y - 2/5*s**2.
-2*s*(s - 1)*(s + 2)/5
Factor -c**2 + 255 + 4*c - 126 + 3*c**2 - 127.
2*(c + 1)**2
Suppose 1156/5 + 72/5*d**2 - 2/5*d**3 - 714/5*d = 0. What is d?
2, 17
Let d(g) be the first derivative of g**5/270 - g**4/54 + g**3/27 + 5*g**2 - 20. Let w(j) be the second derivative of d(j). Suppose w(c) = 0. Calculate c.
1
Let q(y) be the first derivative of -9 - 2/9*y - 2/27*y**3 + 2/9*y**2. What is a in q(a) = 0?
1
Suppose 0 = 2*f - 4*y - 24, -7*f + 39 = -2*f - 3*y. Suppose -10*n**3 + 6 + n**5 - 2*n**3 + 4*n**2 - f*n**4 - 4*n**4 + 14*n - 3*n**5 = 0. Calculate n.
-3, -1, 1
Let o(c) be the first derivative of -c**7/168 - c**6/72 - 3*c**3 - 5. Let n(j) be the third derivative of o(j). Factor n(q).
-5*q**2*(q + 1)
Let z = -32 + 34. Suppose -z*x = 5*x - 126. Find w, given that x + 1 + 54*w + 2*w**3 + 35 + 18*w**2 = 0.
-3
Let t(h) = 5*h + 4. Let w be t(0). Let k(g) be the first derivative of -3*g**2 - 1/2*g**4 + 2*g**3 - w + 2*g. Factor k(d).
-2*(d - 1)**3
Let b(y) be the third derivative of -y**5/30 + 11*y**4/4 + 34*y**3/3 - 11*y**2 - 3*y. Determine i so that b(i) = 0.
-1, 34
Let i(v) be the third derivative of -v**7/1155 - 2*v**6/165 + 4*v**5/55 + 8*v**4/33 - 80*v**3/33 + 894*v**2. Determine j, given that i(j) = 0.
-10, -2, 2
Let m(a) be the second derivative of -a**6/60 - 23*a**5/40 - 63*a**4/8 - 637*a**3/12 - 343*a**2/2 - a + 15. Solve m(c) = 0 for c.
-7, -2
Let o(z) = -z**4 + z**2 - z + 1. Let c(v) = 4618*v**4 + 7582*v**3 - 3126*v**2 + 386*v - 10. Let t(k) = -c(k) + 6*o(k). Suppose t(i) = 0. Calculate i.
-2, 2/17, 1/8
Let n(q) = -4*q - 3. Let u be n(-2). Suppose 0 = -u*w + 17 + 8. Find x such that -2*x - 4*x**3 - w*x**3 - x**2 + 10*x**3 = 0.
-1, 0, 2
Let s(a) = 12*a**2 + 54*a + 27. Let y(b) = 3*b**2 + 13*b + 6. Let l(j) = 2*s(j) - 9*y(j). Find w, given that l(w) = 0.
-3, 0
Factor 92/5*l - 11/5*l**3 - 1/5*l**4 + 24 - 2/5*l**2.
-(l - 3)*(l + 2)**2*(l + 10)/5
Let k = -906/43 + 2890/129. Solve k + 10/9*j + 2/9*j**2 = 0 for j.
-3, -2
Suppose 0 - 1/6*d**4 + 5/6*d**2 - d + 1/3*d**3 = 0. What is d?
-2, 0, 1, 3
Let d(f) be the first derivative of f**7/525 + f**6/75 + f**5/50 + 6*f**2 + 17. Let k(w) be the second derivative of d(w). Solve k(m) = 0 for m.
-3, -1, 0
Let v(q) be the second derivative of -q**6/195 - q**5/65 + q**4/26 + 18*q + 2. Find s such that v(s) = 0.
-3, 0, 1
Let 1509*t**3 + 1511*t**3 - 3024*t**3 - 21*t + 80*t**2 + 9*t**2 - t = 0. Calculate t.
0, 1/4, 22
Let i(o) be the third derivative of o**7/10080 + o**6/720 + o**5/160 + 3*o**4/4 + 19*o**2. Let w(l) be the second derivative of i(l). Factor w(j).
(j + 1)*(j + 3)/4
Let f(i) be the first derivative of i**6/180 - i**5/10 + 3*i**4/4 - 7*i**3/3 + 10. Let h(y) be the third derivative of f(y). Let h(m) = 0. What is m?
3
Let j(x) be the third derivative of -x**6/72 + x**5/4 - 25*x**4/24 - 13*x**3/6 + 5*x**2. Let r(w) be the first derivative of j(w). Find f, given that r(f) = 0.
1, 5
Let y(j) = -j + 10. Let d be y(5). Let f be 2 - d - (-135)/10. Factor 15/2*n**4 + 3/2*n**5 + 3*n + 27/2*n**3 + f*n**2 + 0.
3*n*(n + 1)**3*(n + 2)/2
Let k = 12 + -12. Suppose -l + 1 + 6 = k. Factor -j + j**2 - l*j**2 - 3*j**2 - 3 - 8*j - 3*j**3.
-3*(j + 1)**3
Let g(r) be the third derivative of -1/112*r**8 + 0 + 1/20*r**6 - 1/10*r**5 - 8*r**2 - 1/8*r**4 + 1/70*r**7 + 0*r + 1/2*r**3. Factor g(q).
-3*(q - 1)**3*(q + 1)**2
Let c(z) be the second derivative of 0 - 1/3*z**4 + 2/21*z**7 + 16*z + 2/15*z**6 + 0*z**3 + 0*z**2 - 1/5*z**5. Factor c(m).
4*m**2*(m - 1)*(m + 1)**2
Suppose -67*z - 30 = -72*z. Let o(a) be the third derivative of 1/20*a**5 + 1/70*a**7 - 4*a**2 + 3/40*a**z - 3/8*a**4 + 0*a + 0 - a**3. Factor o(d).
3*(d - 1)*(d + 1)**2*(d + 2)
Let p = 6 + -41. Let v(k) = -k**3 + 21*k**2 - 39*k + 15. Let c(x) = -10*x**3 + 190*x**2 - 350*x + 135. Let b(u) = p*v(u) + 4*c(u). Factor b(a).
-5*(a - 3)*(a - 1)**2
Let s(r) = -3*r**3 - r - 6. Let t be s(-2). Suppose -4*g - j = -2 - 3, -4*j = 3*g - t. Factor -4/11*c**2 - 2/11*c + g - 2/11*c**3.
-2*c*(c + 1)**2/11
Let u(v) = -v - 2. Let m be u(-6). Suppose m*w + 2 = 5*w. Let -h + 16*h**w - 7*h - 12*h**2 = 0. Calculate h.
0, 2
What is v in -3313*v - 4*v**2 + 3229*v + 13*v**2 + 27 = 0?
1/3, 9
Let g(j) be the third derivative of 0*j - 1/20*j**5 - 1/120*j**6 + 0*j**3 - 1/12*j**4 + 0 - 18*j**2. What is d in g(d) = 0?
-2, -1, 0
Let i(t) be the first derivative of 0*t**5 - 2/9*t**6 + 0*t + 29 + 1/3*t**4 + 0*t**3 + 0*t**2. Factor i(z).
-4*z**3*(z - 1)*(z + 1)/3
Let y(d) be the second derivative of -1/105*d**7 + 0*d**2 + 0*d**3 - 8*d - 3/10*d**4 - 3/50*d**5 + 1/15*d**6 + 0. Determine m, given that y(m) = 0.
-1, 0, 3
Let c(d) be the first derivative of -d**5/130 + d**4/39 + 32*d - 6. Let p(b) be the first derivative of c(b). Solve p(x) = 0.
0, 2
Factor -1/7*z**4 + 0 - 180/7*z**3 + 0*z - 8100/7*z**2.
-z**2*(z + 90)**2/7
Suppose -7*k + 79 = -110. Let j = -25 + k. Factor 0 + 0*u**j - 1/2*u**3 + 1/2*u.
-u*(u - 1)*(u + 1)/2
Let i be -10*(2 - (-66)/(-30)). Suppose -4*g + n = -2*g - 75, 0 = g + 2*n - 40. Factor 28*k + 1 + 7 - 28*k**3 + 5*k**2 - g*k**i + 36*k**4 - 11*k**2.
4*(k - 1)**2*(k + 1)*(9*k + 2)
Let u(s) = 7*s - 2. Let f be u(1). Factor -f + 6 - t**2 + 0.
-(t - 1)*(t + 1)
Let a(f) be the third derivative of -f**8/3024 - 13*f**7/1890 - 8*f**6/135 - 37*f**5/135 - 20*f**4/27 - 32*f**3/27 - 35*f**2. Let a(m) = 0. Calculate m.
-4, -2, -1
Let i(h) be the first derivative of 14*h**3/11 + 15*h**2/11 - 12*h/11 + 214. Factor i(j).
6*(j + 1)*(7*j - 2)/11
Let t(d) be the second derivative of -d**7/42 + 3*d**6/5 - 11*d**5/2 + 67*d**4/3 - 91*d**3/2 + 49*d**2 - 39*d. Solve t(r) = 0.
1, 2, 7
Let l be -2*2/7 + 544/119. Let u(d) be the second derivative of -1/2*d**2 + 1/84*d**7 + 0 + 1/4*d**3 + 0*d**6 - 1/10*d**5 + 1/12*d**l + d. Factor u(h).
(h - 1)**3*(h + 1)*(h + 2)/2
Find w, given that -4*w**5 + 6*w**4 + w**4 - 11*w**4 + 48*w**3 = 0.
-4, 0, 3
What is u in -4/5*u**4 + 4/5*u**2 + 0 + u + 1/5*u**5 - 6/5*u**3 = 0?
-1, 0, 1, 5
Let x(b) be the first derivative of -5*b**8/48 - 19*b**7/42 - b**6/3 + b**5/3 + 4*b**2 + 7. Let c(n) be the second derivative of x(n). Solve c(p) = 0 for p.
-2, -1, 0, 2/7
Let v(h) = -h**2 + 11*h - 6. Let c be v(4). Let j = -19 + c. Factor w**2 + j - 1 - 3*w - 3 + 4*w - w**3.
-(w - 1)**2*(w + 1)
Let r be -5*(18/(-15) + -2). Find k, given that -45*k + 28*k - k**4 - 256 - 123*k - 116*k - r*k**3 - 96*k**2 = 0.
-4
Let p = 1618 - 1615. Factor 26/21*c**p + 24/7*c - 40/7*c**2 + 20/21*c**4 + 2/21*c**5 + 0.
2*c*(c - 1)**2*(c + 6)**2/21
Suppose 18*c = 23*c + 10. Let j(s) = 110*s**3 + 175*s**2 + 45*s. Let h(p) = -5*p**3 - 8*p**2 - 2*p. Let v(b) = c*j(b) - 45*h(b). Solve v(z) = 0.
-2, 0
Let a(r) = 8*r**2 - 21*r - 40. Let q be a(4). Find l such that 5*l**2 - 20/3*l + 20/3*l**3 + 5/3*l**q - 20/3 = 0.
-2, -1, 1
Let g(q) = 2*q + 28. Let r be g(-6). Suppose r = -14*j + 18*j. Find t such that 0 + 1/2*t**3 + 1/2*t**j - 1/2*t**2 - 1/2*t = 0.
-1, 0, 1
Factor 4/9*p**2 + 20/9 + 8/3*p.
4*(p + 1)*(p + 5)/9
Let o(j) be the first derivative of 0*j**4 + 3 - 1/840*j**6 + 0*j**3 + 11/2*j**2 + 1/210*j**5 + 0*j. Let f(b) be the second derivative of o(b). Solve f(k) = 0.
0, 2
Let x = -2852 - -19966/7. Find r such that 0*r**2 - 3/7*r + x + 1/7*r**3 = 0.
-2, 1
Suppose -11*z - 19 + 41 = 0. Factor 2/5*k**3 - 2/5*k**z + 0 + 0*k.
2*k**2*(k - 1)/5
Let b(y) be the third derivative of 1/45*y**5 + 0 + 0*y + 0*y**4 - 1/180*y**6 + 0*y**3 + 9*y**2. Factor b(p).
-2*p**2*(p - 2)/3
Determine n so that -3*n**2 + 90*n - 36*n**2 + 3*n**3 + 41*n**2 + 36*n**2 + 13*n**2 = 0.
-15, -2, 0
Determine x so that 193*x**2 + 5339*x + 37*x**2 - 65*x**3 - 5*x**4 - 5499*x = 0.
-16, 0, 1, 2
Let k(o) be the third derivative of -o**7/630 - o**6/90 - o**5/60 - 2*o**2 - 135. Factor k(m).
-m**2*(m + 1)*(m + 3)/3
Let k(a) be the first derivative of -a**6/24 + 21*a**5/4 - 1351*a**4/8 - 1457*a**3/6 + 2703*a**2/8 + 2809*a/4 - 304. Let k(v) = 0. What is v?
-1, 1, 53
Suppose 2*a - 4 = -0. Suppose 3*n + 11 = -3*z + 44, a*z - 37 = -5*n. Factor v**2 - z*v + 3*v**2 + 7*v + 7*v.
4*v*(v + 2)
Suppose -4*g + i + 60 = -28, 4*i + 110 = 5*g. Let l = -14 + g. Factor 11*z - 13 + 9*z**2 - 13 + l + 1