- 8 + 5*c**3 - c - 7*c - z*c.
4*(c - 2)*(c + 1)**2
Let i(n) be the first derivative of -n**3 + 33*n**2/2 + 79. What is w in i(w) = 0?
0, 11
Let c(w) be the first derivative of -7*w**2/2 - 12*w - 19. Let s be c(-2). Factor 0 - 1/2*m - 1/4*m**s.
-m*(m + 2)/4
Let -71*r - r**3 + 85*r - 3*r**2 - 2*r**2 + 0*r**3 = 0. Calculate r.
-7, 0, 2
Let c be 8/1 + 3 + -6. Suppose -c*y - 5*v + 10 = 0, 0*y - 2 = -y - 3*v. Factor -1 + n**y + 5*n + n + 3 + 7.
(n + 3)**2
Let z(p) be the third derivative of -p**7/1680 - p**6/480 - 5*p**4/12 - 13*p**2. Let o(w) be the second derivative of z(w). Factor o(m).
-3*m*(m + 1)/2
Let i(u) be the first derivative of -u**6/27 - 2*u**5/15 + 25*u**4/18 - 14*u**3/9 - 13. Let i(j) = 0. Calculate j.
-7, 0, 1, 3
Let v(n) be the third derivative of n**6/660 + 3*n**5/110 - 75*n**2. Factor v(b).
2*b**2*(b + 9)/11
Let g = -8/482093 + -871141235/49173486. Let v = 107/6 + g. Factor v*t**2 - 2/17 + 0*t.
2*(t - 1)*(t + 1)/17
Find g such that -g**4 + 0*g + 0 + 2*g**2 - 5/6*g**3 - 1/6*g**5 = 0.
-4, -3, 0, 1
Suppose -4*u - y = -3, 2*u + 5*y = -3*u + 15. Factor z**5 + u*z**3 + 0*z**3 + 3*z**3 - 4*z**4.
z**3*(z - 3)*(z - 1)
Let c(q) = q**4 + q**3 - q**2 - q. Let w(y) = 3*y**5 - 36*y**4 + 102*y**3 - 168*y**2 + 135*y - 36. Let i(u) = -6*c(u) - w(u). Factor i(n).
-3*(n - 4)*(n - 3)*(n - 1)**3
Let x(i) = i**4 + i**3 - i**2 + i. Let j = -19 + 18. Let t(y) = -4*y**5 + 12*y**4 - 20*y**3 - 4*y**2 + 16*y - 8. Let h(m) = j*t(m) - 4*x(m). Factor h(a).
4*(a - 2)*(a - 1)**3*(a + 1)
Let x be ((-108)/(-1215))/(-2)*-6*3/4. Let -x*z**2 - 3/5*z + 4/5 = 0. Calculate z.
-4, 1
Suppose -c + 9 = 2*u, 3*u - 6*u + 13 = c. Factor -1/4*w - 2*w**3 - w**u - 5/4*w**2 + 0.
-w*(w + 1)*(2*w + 1)**2/4
Let h(n) be the first derivative of 5/8*n**2 + 1/3*n**3 + 1/16*n**4 + 2 + 1/2*n. What is v in h(v) = 0?
-2, -1
Let n(b) be the second derivative of 0 - 1/50*b**5 - 1/75*b**6 + 1/15*b**3 + 0*b**2 + 1/30*b**4 + 13*b. Determine h so that n(h) = 0.
-1, 0, 1
Let l(k) be the second derivative of -k**5/60 + 5*k**4/36 + 13*k**3/18 + 7*k**2/6 - 39*k. Factor l(q).
-(q - 7)*(q + 1)**2/3
Let j(k) be the first derivative of -k**4/4 + 47*k**3/3 + 24*k**2 + 206. Find a such that j(a) = 0.
-1, 0, 48
Let j(f) be the first derivative of -17/18*f**4 - 28/45*f**5 + 8/9*f**2 - 8/9*f - 5 + 2*f**3. Solve j(c) = 0.
-2, -1/2, 2/7, 1
Let r(v) be the first derivative of v - 1/80*v**5 + 0*v**4 + 4 + 0*v**2 + 0*v**3. Let u(a) be the first derivative of r(a). Factor u(q).
-q**3/4
Let i(k) = 2*k + 4. Let z be i(2). Suppose z*v - 37 = 11. Factor -v*j - 3/2*j**2 - 6.
-3*(j + 2)**2/2
Let x(q) be the second derivative of -107*q**4/15 - 143*q**3/10 - q**2/10 - 11*q - 22. Solve x(m) = 0.
-1, -1/428
Let j = -3/175 - -978/175. Determine g so that -j*g - 45/7*g**2 - 6/7 = 0.
-2/3, -1/5
Solve q**2 - 316 - 52*q - 263 + 679 = 0 for q.
2, 50
Let m(q) be the first derivative of 0*q + 3/16*q**4 + 0*q**3 - 3 + 0*q**2. Factor m(g).
3*g**3/4
What is m in -34*m**4 - 656*m + 123*m**2 - 544*m + 76*m**4 + 517*m**2 - 38*m**4 - 92*m**3 = 0?
0, 3, 10
Let y(a) be the third derivative of a**7/84 + a**6/48 - a**5/6 - 5*a**4/12 + 18*a**2. Solve y(b) = 0 for b.
-2, -1, 0, 2
Let l = 1044 + -145. Let h = l + -6281/7. Suppose 0 - h*u**2 + 4/7*u - 16/7*u**3 = 0. What is u?
-1, 0, 1/4
Let o(n) be the third derivative of -1/210*n**5 + 0*n + 0*n**3 + 0 - 2*n**2 + 1/84*n**4. Let o(w) = 0. Calculate w.
0, 1
Let r = -96 - -170. Factor 59*t - r*t + 18 + 2*t**2 + t**2.
3*(t - 3)*(t - 2)
Let h(m) be the first derivative of -m**7/42 + m**6/10 - 3*m**5/20 + m**4/12 + 13*m**2 + 11. Let g(f) be the second derivative of h(f). Factor g(i).
-i*(i - 1)**2*(5*i - 2)
Factor -2*g**2 - 238 - 3*g**3 + 310 + 6*g - 5*g**2 + 2*g**3 + 0*g**3.
-(g - 3)*(g + 4)*(g + 6)
Suppose -664/9*b**2 + 32 - 4/3*b**4 - 164/9*b**3 - 208/3*b = 0. Calculate b.
-6, -2, 1/3
Let v be ((-2)/(-4))/(1/6). Suppose 0 = -2*d - 2*g + 12, 4*g - 2 = d - v. Factor q**d + 2*q**4 + q**5 + 2*q**5 - 6*q**5.
-2*q**4*(q - 1)
Let o(v) be the first derivative of -2/17*v**3 + 15 - 2/85*v**5 - 5/34*v**4 + 0*v + 0*v**2 + 1/51*v**6. Factor o(c).
2*c**2*(c - 3)*(c + 1)**2/17
Let s(o) be the second derivative of 2/9*o**3 - o**2 + 12*o + 0 + 1/18*o**4. Factor s(q).
2*(q - 1)*(q + 3)/3
Let y(z) be the first derivative of 3*z**5/100 + z**4/10 + z**3/10 + 5*z + 5. Let w(c) be the first derivative of y(c). Solve w(h) = 0.
-1, 0
Let r = -7548 + 7550. What is x in -x**3 - x**r - 1/2 - 1/2*x**5 + 3/2*x + 3/2*x**4 = 0?
-1, 1
Suppose 18 = 9*u - 27. Find z, given that 122*z**5 - 6*z**2 - 3 + 27*z**3 - 30*z**4 - 113*z**u + 3 = 0.
0, 1/3, 1, 2
Let z(r) be the third derivative of -r**6/40 - 9*r**5/20 + 5*r**4/4 + 2*r**2 + 105*r. Solve z(v) = 0 for v.
-10, 0, 1
Let j(a) be the third derivative of a**8/112 - a**7/10 + 18*a**2 - 3*a. Factor j(w).
3*w**4*(w - 7)
Let p be 8/80*6/216. Let r(s) be the third derivative of 0 - 1/36*s**4 + 5*s**2 + p*s**5 + 1/12*s**3 + 0*s. Factor r(u).
(u - 3)*(u - 1)/6
Let l(r) be the first derivative of 125*r**6/6 + 15*r**5 - 45*r**4/4 + 5*r**3/3 - 9. Factor l(h).
5*h**2*(h + 1)*(5*h - 1)**2
Let f(t) be the second derivative of 3*t**5/20 - 3*t**4/4 - 18*t**3 - 48*t**2 - 6*t. What is v in f(v) = 0?
-4, -1, 8
Let m(g) be the second derivative of g**5/140 - 2*g**3/7 + 8*g**2/7 + 194*g. What is t in m(t) = 0?
-4, 2
Factor -83*y**3 - 91*y**3 + 4*y**4 + 8*y + 162*y**3 - 4*y**2 + 4*y**5.
4*y*(y - 1)**2*(y + 1)*(y + 2)
Let u(r) be the third derivative of -r**6/280 + r**5/35 + 11*r**4/56 + 3*r**3/7 + 171*r**2. Factor u(t).
-3*(t - 6)*(t + 1)**2/7
Let x(f) be the third derivative of -f**8/3528 + 2*f**7/441 + 19*f**6/630 + 8*f**5/315 - 37*f**4/252 - 26*f**3/63 - 742*f**2. Find o, given that x(o) = 0.
-2, -1, 1, 13
Suppose 4*d - 2*j - 6 = 0, -5*d + 16 = j + 5. Suppose 2*b - 4*b - 3*o = 5, 5*b = d*o + 16. Factor -2/11*s**b + 4/11 + 2/11*s.
-2*(s - 2)*(s + 1)/11
Let l(x) be the first derivative of 162*x**3 + 81*x**2 + 138*x**3 - 201*x**2 + 16*x - 8. Determine t so that l(t) = 0.
2/15
Let m(s) be the first derivative of -23 - 5/2*s**2 + 0*s - 5/3*s**3. Determine v so that m(v) = 0.
-1, 0
Let v(r) = r**2 - 4*r + 5. Let n be v(3). Factor 3 - 57*p**n + 58*p**2 + 9*p - 4*p - p**3.
-(p - 3)*(p + 1)**2
Let x(h) be the third derivative of h**8/21 - 26*h**7/105 - h**6/30 + 13*h**5/15 - h**4/2 - 106*h**2 + 1. Let x(o) = 0. What is o?
-1, 0, 1/4, 1, 3
Let a(h) = h**3 - 16*h**2 + 29*h - 9. Let j be a(14). Suppose -w - 5*w**2 - w**2 + 10*w**2 + 1 + w**3 - j*w**2 = 0. Calculate w.
-1, 1
Suppose 54 = 403*v - 385*v. Let 0 - 4/3*j**v - 16/3*j - 16/3*j**2 = 0. Calculate j.
-2, 0
Let g(f) be the third derivative of f**5/75 - 7*f**4/30 + 12*f**2. Determine m, given that g(m) = 0.
0, 7
Let a(p) be the second derivative of -p**5/170 - 3*p**4/34 - 8*p**3/17 - 16*p**2/17 - 98*p - 2. Factor a(i).
-2*(i + 1)*(i + 4)**2/17
Let o be (6/9 + (-2)/(-6))*7. Let w(y) be the first derivative of -y**2 + 4/7*y - 4/7*y**3 + 1/2*y**4 - o + 8/35*y**5. Suppose w(t) = 0. What is t?
-2, -1, 1/4, 1
Let o be (-28)/70 - (0 - (-352)/(-780)). Let t(h) be the first derivative of -2/13*h**2 - o*h**3 - 7 + 0*h. Factor t(b).
-2*b*(b + 2)/13
Let d = -232 - -232. Suppose 3/7*m**3 + 1/7*m + d - 3/7*m**2 - 1/7*m**4 = 0. Calculate m.
0, 1
Let a(m) be the first derivative of -64*m**5/15 - 28*m**4/3 + 5*m**3/3 + 56*m**2/3 + 49*m/3 + 129. Solve a(w) = 0.
-1, -7/8, 1
Let f(w) be the first derivative of w**6/2 + 3*w**5/5 - 3*w**4/4 - w**3 - 46. Let f(m) = 0. What is m?
-1, 0, 1
Suppose 61 = 5*g - 3*u, 12 = 2*g - 3*u - 16. Let m be g/(-55) - (-11)/5. Let -20 - 3*c**m + 40 + 6*c - 23 = 0. What is c?
1
Suppose 0 = -3*o + 5*y - 6, 3*o + 3 = 4*y. Factor 194*n**2 - 194*n**2 - 3*n**5 + 3*n**o.
-3*n**3*(n - 1)*(n + 1)
Let s(w) = w**2 + 19*w + 2. Let r be s(-19). Let u(i) be the second derivative of 0*i**3 - 1/12*i**4 + 0*i**r + 0 + 7*i. Factor u(c).
-c**2
Suppose 0 = 5*g + 5*h - 15, -g + 5*h = 2*g - 1. Let j(t) be the first derivative of 3/20*t**4 - 6 - 6/5*t + 3/2*t**g - 4/5*t**3. Let j(m) = 0. Calculate m.
1, 2
Let t(z) be the first derivative of z**6/15 - 16*z**5/25 - 6*z**4/5 + 96*z**3/5 + 270. Factor t(d).
2*d**2*(d - 6)**2*(d + 4)/5
Let k(a) be the second derivative of 0 + 1/12*a**4 + 1/2*a**2 + 1/3*a**3 - 17*a. Factor k(y).
(y + 1)**2
Let c(k) = 6*k**3 - 24*k**2 - 18*k. L